93 results found for "decreasing" in Class 10.
एक घटती समान्तर श्रेणी में प्रथम पद (72) और सार्व अंतर (-4) है। पहले (24) पदों का योग कितना होगा?
In a decreasing arithmetic progression the first term is (72) and the common difference is (-4). What is the sum of the first (24) terms?
#ap
#decreasing-ap
#expert
A (576)
B (600)
C (612)
D (624)
Explanation opens after your attempt
Step 1
Concept
(S_{24}=\frac{24}{2}[144+23(-4)]=624). Exam tip: handle the negative common difference carefully.
Step 2
Why this answer is correct
The correct answer is D. (624). (S_{24}=\frac{24}{2}[144+23(-4)]=624). Exam tip: handle the negative common difference carefully.
Step 3
Exam Tip
(S_{24}=\frac{24}{2}[144+23(-4)]=624) है। परीक्षा में ऋणात्मक सार्व अंतर का चिन्ह सावधानी से रखें।
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एक घटती समान्तर श्रेणी में प्रथम पद (65) और सार्व अंतर (-5) है। पहले (15) पदों का योग कितना होगा?
In a decreasing arithmetic progression the first term is (65) and the common difference is (-5). What is the sum of the first (15) terms?
#ap
#decreasing-ap
#expert
A (450)
B (475)
C (500)
D (525)
Explanation opens after your attempt
Step 1
Concept
(S_{15}=\frac{15}{2}[130+14(-5)]=450). Exam tip: handle the negative common difference carefully.
Step 2
Why this answer is correct
The correct answer is A. (450). (S_{15}=\frac{15}{2}[130+14(-5)]=450). Exam tip: handle the negative common difference carefully.
Step 3
Exam Tip
(S_{15}=\frac{15}{2}[130+14(-5)]=450) है। परीक्षा में ऋणात्मक सार्व अंतर का चिन्ह सावधानी से रखें।
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किस अनुक्रम में पद समान मात्रा से घट रहे हैं लेकिन (d=-4) नहीं है?
In which sequence are terms decreasing by an equal amount but (d) is not (-4)?
#ap
#decreasing sequence
#negative difference
#medium
A \(30,26,22,18,\ldots\)
B \(45,40,35,30,\ldots\)
C \(16,12,8,4,\ldots\)
D \(9,5,1,-3,\ldots\)
Explanation opens after your attempt
Correct Answer
B. \(45,40,35,30,\ldots\)
Step 1
Concept
In \(45,40,35,30,\ldots\), (d=-5), not (-4). Check both value and sign in the options.
Step 2
Why this answer is correct
The correct answer is B. \(45,40,35,30,\ldots\). In \(45,40,35,30,\ldots\), (d=-5), not (-4). Check both value and sign in the options.
Step 3
Exam Tip
\(45,40,35,30,\ldots\) में (d=-5) है, (-4) नहीं। विकल्पों में मान और चिह्न दोनों जांचें।
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किस अनुक्रम में पद समान मात्रा से घट रहे हैं लेकिन (d=-2) नहीं है?
In which sequence are the terms decreasing by an equal amount but (d) is not (-2)?
#ap
#decreasing sequence
#negative difference
#medium
A \(20,17,14,11,\ldots\)
B \(9,7,5,3,\ldots\)
C \(8,6,4,2,\ldots\)
D \(5,3,1,-1,\ldots\)
Explanation opens after your attempt
Correct Answer
A. \(20,17,14,11,\ldots\)
Step 1
Concept
In \(20,17,14,11,\ldots\), (d=-3), not (-2). Check both sign and value in options.
Step 2
Why this answer is correct
The correct answer is A. \(20,17,14,11,\ldots\). In \(20,17,14,11,\ldots\), (d=-3), not (-2). Check both sign and value in options.
Step 3
Exam Tip
\(20,17,14,11,\ldots\) में (d=-3) है, (-2) नहीं। विकल्पों में चिह्न और मान दोनों जांचें।
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निम्न में से कौन सा अनुक्रम घटती अंकगणितीय श्रेणी है?
Which of the following is a decreasing arithmetic progression?
#ap
#decreasing ap
#negative difference
#easy
A \(50,45,40,35,\ldots\)
B \(2,4,8,16,\ldots\)
C \(5,5,5,5,\ldots\)
D \(1,4,9,16,\ldots\)
Explanation opens after your attempt
Correct Answer
A. \(50,45,40,35,\ldots\)
Step 1
Concept
In \(50,45,40,35,\ldots\), the equal difference is (-5). A decreasing arithmetic progression has negative (d).
Step 2
Why this answer is correct
The correct answer is A. \(50,45,40,35,\ldots\). In \(50,45,40,35,\ldots\), the equal difference is (-5). A decreasing arithmetic progression has negative (d).
Step 3
Exam Tip
\(50,45,40,35,\ldots\) में समान अंतर (-5) है। घटती अंकगणितीय श्रेणी का (d) ऋणात्मक होता है।
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किस विकल्प में समांतर श्रेणी घट रही है?
Which option shows a decreasing AP?
#ap
#decreasing_ap
#negative_difference
A \(4,9,14,19,\ldots\)
B \(8,8,8,8,\ldots\)
C \(20,17,14,11,\ldots\)
D \(-5,-1,3,7,\ldots\)
Explanation opens after your attempt
Correct Answer
C. \(20,17,14,11,\ldots\)
Step 1
Concept
Here the common difference is (-3), so the terms are decreasing. In exams, a decreasing AP has negative (d).
Step 2
Why this answer is correct
The correct answer is C. \(20,17,14,11,\ldots\). Here the common difference is (-3), so the terms are decreasing. In exams, a decreasing AP has negative (d).
Step 3
Exam Tip
यहां सामान्य अंतर (-3) है, इसलिए पद घट रहे हैं। परीक्षा में घटती समांतर श्रेणी का (d) ऋणात्मक होता है।
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एक सीढ़ीनुमा दीवार में नीचे की पंक्ति में (210) पत्थर हैं और हर ऊपर की पंक्ति में (10) पत्थर कम हैं। किस पंक्ति में (70) पत्थर होंगे?
A stepped wall has (210) stones in the bottom row and (10) fewer stones in each upper row. Which row will have (70) stones?
#ap
#word-problem
#stepped-wall
#decreasing
A (13)
B (14)
C (15)
D (16)
Explanation opens after your attempt
Step 1
Concept
From (210+(n-1)(-10)=70), (n=15). Exam tip: keep (d) negative in a decreasing AP.
Step 2
Why this answer is correct
The correct answer is C. (15). From (210+(n-1)(-10)=70), (n=15). Exam tip: keep (d) negative in a decreasing AP.
Step 3
Exam Tip
(210+(n-1)(-10)=70) से (n=15) मिलता है। परीक्षा में घटती श्रेणी में (d) को ऋणात्मक रखें।
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एक कारखाना पहले दिन (720) इकाइयां बनाता है और हर अगले दिन (24) इकाइयां कम बनाता है। पहले (16) दिनों में कुल उत्पादन कितना होगा?
A factory makes (720) units on the first day and (24) fewer units each next day. What is the total production in the first (16) days?
#ap
#word-problem
#factory
#decreasing
A (8360)
B (8440)
C (8560)
D (8640)
Explanation opens after your attempt
Step 1
Concept
The production is the decreasing AP \(720,696,672,\ldots\) and \(S_{16}=8640\). Exam tip: treat decrease as a negative common difference.
Step 2
Why this answer is correct
The correct answer is D. (8640). The production is the decreasing AP \(720,696,672,\ldots\) and \(S_{16}=8640\). Exam tip: treat decrease as a negative common difference.
Step 3
Exam Tip
उत्पादन \(720,696,672,\ldots\) घटती समान्तर श्रेणी है और \(S_{16}=8640\)। परीक्षा में कमी को ऋणात्मक सार्व अंतर मानें।
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एक सीढ़ी में नीचे की पंक्ति में (180) टाइलें हैं और हर ऊपर की पंक्ति में (8) टाइलें कम हैं। किस पंक्ति में (68) टाइलें होंगी?
A staircase has (180) tiles in the bottom row and (8) fewer tiles in each upper row. Which row will have (68) tiles?
#ap
#word-problem
#staircase
#decreasing
A (13)
B (14)
C (15)
D (16)
Explanation opens after your attempt
Step 1
Concept
From (180+(n-1)(-8)=68), (n=15). Exam tip: handle the sign carefully in a decreasing AP.
Step 2
Why this answer is correct
The correct answer is C. (15). From (180+(n-1)(-8)=68), (n=15). Exam tip: handle the sign carefully in a decreasing AP.
Step 3
Exam Tip
(180+(n-1)(-8)=68) से (n=15) मिलता है। परीक्षा में घटती श्रेणी में चिन्ह सावधानी से रखें।
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एक फैक्टरी पहले दिन (600) इकाइयां बनाती है और हर अगले दिन (22) इकाइयां कम बनाती है। पहले (18) दिनों में कुल उत्पादन कितना होगा?
A factory makes (600) units on the first day and (22) fewer units each next day. What is the total production in the first (18) days?
#ap
#word-problem
#factory
#decreasing
A (7234)
B (7334)
C (7384)
D (7434)
Explanation opens after your attempt
Step 1
Concept
The production is the decreasing AP \(600,578,556,\ldots\) and \(S_{18}=7434\). Exam tip: treat a decrease as a negative common difference.
Step 2
Why this answer is correct
The correct answer is D. (7434). The production is the decreasing AP \(600,578,556,\ldots\) and \(S_{18}=7434\). Exam tip: treat a decrease as a negative common difference.
Step 3
Exam Tip
उत्पादन \(600,578,556,\ldots\) घटती समान्तर श्रेणी है और \(S_{18}=7434\)। परीक्षा में कमी को ऋणात्मक सार्व अंतर मानें।
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एक वेबसाइट पर पहले दिन (900) विजिट आए और हर अगले दिन (50) विजिट कम हुए। (10) दिनों में कुल कितने विजिट आएंगे?
A website gets (900) visits on the first day and (50) fewer visits each next day. How many visits are received in (10) days?
#ap
#word-problem
#website
#decreasing
A (6250)
B (6500)
C (6750)
D (7000)
Explanation opens after your attempt
Step 1
Concept
The visits form the decreasing AP \(900,850,800,\ldots\) and \(S_{10}=6750\). Exam tip: keep (d) negative for decreasing numbers.
Step 2
Why this answer is correct
The correct answer is C. (6750). The visits form the decreasing AP \(900,850,800,\ldots\) and \(S_{10}=6750\). Exam tip: keep (d) negative for decreasing numbers.
Step 3
Exam Tip
विजिट \(900,850,800,\ldots\) घटती समान्तर श्रेणी हैं और \(S_{10}=6750\)। परीक्षा में घटती संख्या के लिए (d) ऋणात्मक रखें।
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एक मशीन पर पहले दिन (1000) रुपये खर्च हुए और हर अगले दिन (45) रुपये कम खर्च हुए। (12) दिनों में कुल खर्च कितना होगा?
A machine costs (1000) rupees on the first day and (45) rupees less each next day. What is the total cost in (12) days?
#ap
#word-problem
#cost
#decreasing
A (8820)
B (8910)
C (9000)
D (9030)
Explanation opens after your attempt
Step 1
Concept
The costs form the decreasing AP \(1000,955,910,\ldots\) and \(S_{12}=9030\). Exam tip: take (d) negative for decreasing costs.
Step 2
Why this answer is correct
The correct answer is D. (9030). The costs form the decreasing AP \(1000,955,910,\ldots\) and \(S_{12}=9030\). Exam tip: take (d) negative for decreasing costs.
Step 3
Exam Tip
खर्च \(1000,955,910,\ldots\) घटती समान्तर श्रेणी है और \(S_{12}=9030\)। परीक्षा में घटते खर्च के लिए (d) ऋणात्मक लें।
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एक मंच सजावट में पहली पंक्ति में (96) लाइटें हैं और हर अगली पंक्ति में (4) लाइटें कम हैं। (18) पंक्तियों में कुल कितनी लाइटें होंगी?
In a stage decoration the first row has (96) lights and each next row has (4) fewer lights. How many lights are there in (18) rows?
#ap
#word-problem
#lights
#decreasing
A (1080)
B (1098)
C (1116)
D (1134)
Explanation opens after your attempt
Step 1
Concept
The lights form the decreasing AP \(96,92,88,\ldots\) and \(S_{18}=1116\). Exam tip: in decreasing rows the common difference is negative.
Step 2
Why this answer is correct
The correct answer is C. (1116). The lights form the decreasing AP \(96,92,88,\ldots\) and \(S_{18}=1116\). Exam tip: in decreasing rows the common difference is negative.
Step 3
Exam Tip
लाइटें \(96,92,88,\ldots\) घटती समान्तर श्रेणी हैं और \(S_{18}=1116\)। परीक्षा में घटती पंक्ति में सार्व अंतर ऋणात्मक होता है।
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एक गोदाम में पहले दिन (500) पैकेट रखे गए और हर अगले दिन (25) पैकेट कम रखे गए। (14) दिनों में कुल कितने पैकेट रखे गए?
In a warehouse (500) packets are stored on the first day and (25) fewer packets are stored each next day. How many packets are stored in (14) days?
#ap
#word-problem
#warehouse
#decreasing
A (4600)
B (4675)
C (4725)
D (4800)
Explanation opens after your attempt
Step 1
Concept
The packet numbers form a decreasing AP and \(S_{14}=4725\). Exam tip: take a decrease as a negative common difference.
Step 2
Why this answer is correct
The correct answer is C. (4725). The packet numbers form a decreasing AP and \(S_{14}=4725\). Exam tip: take a decrease as a negative common difference.
Step 3
Exam Tip
पैकेटों की संख्या घटती समान्तर श्रेणी है और \(S_{14}=4725\)। परीक्षा में कमी को ऋणात्मक सार्व अंतर मानें।
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एक फैक्टरी पहले दिन (420) इकाइयां बनाती है और हर अगले दिन (18) इकाइयां कम बनाती है। पहले (15) दिनों में कुल उत्पादन कितना होगा?
A factory makes (420) units on the first day and (18) fewer units each next day. What is the total production in the first (15) days?
#ap
#word-problem
#factory
#decreasing
A (4320)
B (4350)
C (4380)
D (4410)
Explanation opens after your attempt
Step 1
Concept
The production is the decreasing AP \(420,402,384,\ldots\) and \(S_{15}=4410\). Exam tip: treat a decrease as a negative common difference.
Step 2
Why this answer is correct
The correct answer is D. (4410). The production is the decreasing AP \(420,402,384,\ldots\) and \(S_{15}=4410\). Exam tip: treat a decrease as a negative common difference.
Step 3
Exam Tip
उत्पादन \(420,402,384,\ldots\) घटती समान्तर श्रेणी है और \(S_{15}=4410\)। परीक्षा में कमी को ऋणात्मक सार्व अंतर मानें।
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एक सीढ़ी में नीचे की पंक्ति में (132) टाइलें हैं और हर ऊपर की पंक्ति में (6) टाइलें कम हैं। किस पंक्ति में (54) टाइलें होंगी?
A staircase has (132) tiles in the bottom row and (6) fewer tiles in each upper row. Which row will have (54) tiles?
#ap
#word-problem
#staircase
#decreasing
A (11)
B (12)
C (13)
D (14)
Explanation opens after your attempt
Step 1
Concept
From (132+(n-1)(-6)=54), (n=14). Exam tip: handle the sign carefully in a decreasing AP.
Step 2
Why this answer is correct
The correct answer is D. (14). From (132+(n-1)(-6)=54), (n=14). Exam tip: handle the sign carefully in a decreasing AP.
Step 3
Exam Tip
(132+(n-1)(-6)=54) से (n=14) मिलता है। परीक्षा में घटती श्रेणी में चिन्ह सावधानी से रखें।
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एक फैक्टरी पहले दिन (360) इकाइयां बनाती है और हर अगले दिन (15) इकाइयां कम बनाती है। पहले (16) दिनों में कुल उत्पादन कितना होगा?
A factory makes (360) units on the first day and (15) fewer units each next day. What is the total production in the first (16) days?
#ap
#word-problem
#factory
#decreasing
A (3840)
B (3900)
C (3930)
D (3960)
Explanation opens after your attempt
Step 1
Concept
The production is the decreasing AP \(360,345,330,\ldots\) and \(S_{16}=3960\). Exam tip: treat a decrease as a negative common difference.
Step 2
Why this answer is correct
The correct answer is D. (3960). The production is the decreasing AP \(360,345,330,\ldots\) and \(S_{16}=3960\). Exam tip: treat a decrease as a negative common difference.
Step 3
Exam Tip
उत्पादन \(360,345,330,\ldots\) घटती समान्तर श्रेणी है और \(S_{16}=3960\)। परीक्षा में कमी को ऋणात्मक सार्व अंतर मानें।
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एक सीढ़ी में नीचे की पंक्ति में (110) टाइलें हैं और हर ऊपर की पंक्ति में (5) टाइलें कम हैं। किस पंक्ति में (55) टाइलें होंगी?
A staircase has (110) tiles in the bottom row and (5) fewer tiles in each upper row. Which row will have (55) tiles?
#ap
#word-problem
#staircase
#decreasing
A (10)
B (11)
C (12)
D (13)
Explanation opens after your attempt
Step 1
Concept
From (110+(n-1)(-5)=55), (n=12). Exam tip: handle the sign carefully in a decreasing AP.
Step 2
Why this answer is correct
The correct answer is C. (12). From (110+(n-1)(-5)=55), (n=12). Exam tip: handle the sign carefully in a decreasing AP.
Step 3
Exam Tip
(110+(n-1)(-5)=55) से (n=12) मिलता है। परीक्षा में घटती श्रेणी में चिन्ह सावधानी से रखें।
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एक फैक्टरी पहले दिन (300) इकाइयां बनाती है और हर अगले दिन (20) इकाइयां कम बनाती है। पहले (12) दिनों में कुल उत्पादन कितना होगा?
A factory makes (300) units on the first day and (20) fewer units each next day. What is the total production in the first (12) days?
#ap
#word-problem
#factory
#decreasing
A (2160)
B (2220)
C (2250)
D (2280)
Explanation opens after your attempt
Step 1
Concept
The production is the decreasing AP \(300,280,260,\ldots\) and \(S_{12}=2280\). Exam tip: treat a decrease as a negative common difference.
Step 2
Why this answer is correct
The correct answer is D. (2280). The production is the decreasing AP \(300,280,260,\ldots\) and \(S_{12}=2280\). Exam tip: treat a decrease as a negative common difference.
Step 3
Exam Tip
उत्पादन \(300,280,260,\ldots\) घटती समान्तर श्रेणी है और \(S_{12}=2280\)। परीक्षा में कमी को ऋणात्मक सार्व अंतर मानें।
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एक मशीन पहले घंटे (150) पैकेट बनाती है और हर अगले घंटे (10) पैकेट कम बनाती है। किस घंटे में उत्पादन (60) पैकेट होगा?
A machine makes (150) packets in the first hour and (10) fewer packets each next hour. In which hour will the production be (60) packets?
#ap
#word-problem
#decreasing-term
A (7)
B (8)
C (9)
D (10)
Explanation opens after your attempt
Step 1
Concept
From (150+(n-1)(-10)=60), (n=10). Exam tip: write (d) as negative in a decreasing sequence.
Step 2
Why this answer is correct
The correct answer is D. (10). From (150+(n-1)(-10)=60), (n=10). Exam tip: write (d) as negative in a decreasing sequence.
Step 3
Exam Tip
(150+(n-1)(-10)=60) से (n=10) मिलता है। परीक्षा में घटती श्रेणी में (d) को ऋणात्मक लिखें।
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एक सीढ़ी में सबसे नीचे (96) ईंटें हैं और हर ऊपर वाली पंक्ति में (6) ईंटें कम हैं। (12) पंक्तियों में कुल कितनी ईंटें होंगी?
A staircase has (96) bricks in the bottom row and (6) fewer bricks in each upper row. How many bricks are there in (12) rows?
#ap
#word-problem
#decreasing-sum
A (720)
B (744)
C (756)
D (780)
Explanation opens after your attempt
Step 1
Concept
This is the decreasing AP \(96,90,84,\ldots\), and \(S_{12}=756\). Exam tip: treat a decrease as a negative common difference.
Step 2
Why this answer is correct
The correct answer is C. (756). This is the decreasing AP \(96,90,84,\ldots\), and \(S_{12}=756\). Exam tip: treat a decrease as a negative common difference.
Step 3
Exam Tip
यह घटती समान्तर श्रेणी \(96,90,84,\ldots\) है और \(S_{12}=756\)। परीक्षा में कमी को ऋणात्मक सार्व अंतर मानें।
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एक सीढ़ीनुमा सजावट में नीचे की पंक्ति में (72) बल्ब हैं और हर ऊपर की पंक्ति में (6) बल्ब कम हैं। (10)वीं पंक्ति में कितने बल्ब होंगे?
In a stair-like decoration the bottom row has (72) bulbs and each upper row has (6) fewer bulbs. How many bulbs are in the (10)th row?
#ap
#word-problem
#decreasing-pattern
A (12)
B (15)
C (18)
D (20)
Explanation opens after your attempt
Step 1
Concept
The bulb numbers are \(72,66,60,\ldots\) and \(a_{10}=18\). Exam tip: keep the difference negative when moving upward.
Step 2
Why this answer is correct
The correct answer is C. (18). The bulb numbers are \(72,66,60,\ldots\) and \(a_{10}=18\). Exam tip: keep the difference negative when moving upward.
Step 3
Exam Tip
बल्बों की संख्या \(72,66,60,\ldots\) है और \(a_{10}=18\)। परीक्षा में ऊपर जाते समय अंतर ऋणात्मक रखें।
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एक मशीन पहले घंटे (120) पैकेट बनाती है और हर अगले घंटे (8) पैकेट कम बनाती है। पहले (11) घंटों में कुल उत्पादन कितना होगा?
A machine makes (120) packets in the first hour and (8) fewer packets each next hour. What is the total production in the first (11) hours?
#ap
#word-problem
#decreasing
A (860)
B (880)
C (900)
D (920)
Explanation opens after your attempt
Step 1
Concept
The production is the decreasing AP \(120,112,104,\ldots\) and \(S_{11}=880\). Exam tip: treat a decrease as a negative common difference.
Step 2
Why this answer is correct
The correct answer is B. (880). The production is the decreasing AP \(120,112,104,\ldots\) and \(S_{11}=880\). Exam tip: treat a decrease as a negative common difference.
Step 3
Exam Tip
उत्पादन \(120,112,104,\ldots\) घटती समान्तर श्रेणी है और \(S_{11}=880\)। परीक्षा में कमी को ऋणात्मक सार्व अंतर मानें।
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एक सीढ़ीनुमा सजावट में नीचे की पंक्ति में (60) बल्ब हैं और हर ऊपर की पंक्ति में (5) बल्ब कम हैं। (9)वीं पंक्ति में कितने बल्ब होंगे?
In a stair-like decoration the bottom row has (60) bulbs and each upper row has (5) fewer bulbs. How many bulbs are in the (9)th row?
#ap
#word-problem
#decreasing-pattern
A (15)
B (20)
C (25)
D (30)
Explanation opens after your attempt
Step 1
Concept
The bulb numbers are \(60,55,50,\ldots\) and \(a_9=20\). Exam tip: keep the difference negative when moving upward.
Step 2
Why this answer is correct
The correct answer is B. (20). The bulb numbers are \(60,55,50,\ldots\) and \(a_9=20\). Exam tip: keep the difference negative when moving upward.
Step 3
Exam Tip
बल्बों की संख्या \(60,55,50,\ldots\) है और \(a_9=20\)। परीक्षा में ऊपर जाते समय अंतर ऋणात्मक रखें।
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एक मशीन पहले घंटे (95) पैकेट बनाती है और हर अगले घंटे (5) पैकेट कम बनाती है। पहले (9) घंटों में कुल उत्पादन कितना होगा?
A machine makes (95) packets in the first hour and (5) fewer packets each next hour. What is the total production in the first (9) hours?
#ap
#word-problem
#decreasing
A (675)
B (680)
C (690)
D (700)
Explanation opens after your attempt
Step 1
Concept
The production is the decreasing AP \(95,90,85,\ldots\) and \(S_9=675\). Exam tip: treat a decrease as a negative common difference.
Step 2
Why this answer is correct
The correct answer is A. (675). The production is the decreasing AP \(95,90,85,\ldots\) and \(S_9=675\). Exam tip: treat a decrease as a negative common difference.
Step 3
Exam Tip
उत्पादन \(95,90,85,\ldots\) घटती समान्तर श्रेणी है और \(S_9=675\)। परीक्षा में कमी को ऋणात्मक सार्व अंतर मानें।
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एक सीढ़ीनुमा सजावट में नीचे की पंक्ति में (45) बल्ब हैं और हर ऊपर की पंक्ति में (3) बल्ब कम हैं। (8)वीं पंक्ति में कितने बल्ब होंगे?
In a stair-like decoration the bottom row has (45) bulbs and each upper row has (3) fewer bulbs. How many bulbs are in the (8)th row?
#ap
#word-problem
#decreasing-pattern
A (21)
B (24)
C (27)
D (30)
Explanation opens after your attempt
Step 1
Concept
The bulb numbers are \(45,42,39,\ldots\) and \(a_8=24\). Exam tip: keep the difference negative when moving upward.
Step 2
Why this answer is correct
The correct answer is B. (24). The bulb numbers are \(45,42,39,\ldots\) and \(a_8=24\). Exam tip: keep the difference negative when moving upward.
Step 3
Exam Tip
बल्बों की संख्या \(45,42,39,\ldots\) है और \(a_8=24\)। परीक्षा में ऊपर जाते समय अंतर ऋणात्मक रखें।
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एक सीढ़ी में सबसे नीचे (52) ईंटें हैं और हर ऊपर वाली पंक्ति में (4) ईंटें कम हैं। (10) पंक्तियों में कुल कितनी ईंटें होंगी?
A staircase has (52) bricks in the bottom row and (4) fewer bricks in each upper row. How many bricks are there in (10) rows?
#ap
#word-problem
#decreasing
A (340)
B (350)
C (360)
D (370)
Explanation opens after your attempt
Step 1
Concept
This is the decreasing AP \(52,48,44,\ldots\) and \(S_{10}=340\). Exam tip: treat the decrease as a negative common difference.
Step 2
Why this answer is correct
The correct answer is A. (340). This is the decreasing AP \(52,48,44,\ldots\) and \(S_{10}=340\). Exam tip: treat the decrease as a negative common difference.
Step 3
Exam Tip
यह घटती समान्तर श्रेणी \(52,48,44,\ldots\) है और \(S_{10}=340\)। परीक्षा में कमी को ऋणात्मक सार्व अंतर मानें।
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एक सीढ़ी में सबसे नीचे (50) टाइलें हैं और हर ऊपर वाली पंक्ति में (4) टाइलें कम हैं। (9) पंक्तियों में कुल कितनी टाइलें होंगी?
A staircase has (50) tiles in the bottom row and (4) fewer tiles in each upper row. How many tiles are there in (9) rows?
#ap
#word-problem
#decreasing
A (306)
B (316)
C (326)
D (336)
Explanation opens after your attempt
Step 1
Concept
This is the decreasing AP \(50,46,42,\ldots\). \(S_9=306\), so there are (306) tiles.
Step 2
Why this answer is correct
The correct answer is A. (306). This is the decreasing AP \(50,46,42,\ldots\). \(S_9=306\), so there are (306) tiles.
Step 3
Exam Tip
यह घटती समान्तर श्रेणी \(50,46,42,\ldots\) है। \(S_9=306\) इसलिए कुल (306) टाइलें होंगी।
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एक सीढ़ी में सबसे नीचे (40) टाइलें हैं और हर ऊपर वाली पंक्ति में (3) टाइलें कम हैं। (8) पंक्तियों में कुल कितनी टाइलें होंगी?
A staircase has (40) tiles in the bottom row and (3) fewer tiles in each upper row. How many tiles are there in (8) rows?
#ap
#word-problem
#decreasing
A (236)
B (244)
C (252)
D (260)
Explanation opens after your attempt
Step 1
Concept
This is the decreasing AP \(40,37,34,\ldots\). \(S_8=236\) so there are (236) tiles.
Step 2
Why this answer is correct
The correct answer is A. (236). This is the decreasing AP \(40,37,34,\ldots\). \(S_8=236\) so there are (236) tiles.
Step 3
Exam Tip
यह घटती समान्तर श्रेणी \(40,37,34,\ldots\) है। \(S_8=236\) इसलिए कुल (236) टाइलें होंगी।
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एक जलाशय में पहले दिन (1000) लीटर पानी है और हर दिन (50) लीटर पानी कम हो जाता है। (8)वें दिन कितना पानी बचेगा?
A reservoir has (1000) litres of water on the first day and (50) litres less each day. How much water remains on the (8)th day?
#ap
#word-problem
#decreasing
A (600) लीटर
B (650) लीटर
C (700) लीटर
D (750) लीटर
Explanation opens after your attempt
Correct Answer
B. (650) लीटर
Step 1
Concept
This is a decreasing AP. (a_8=1000+7(-50)=650).
Step 2
Why this answer is correct
The correct answer is B. (650) लीटर. This is a decreasing AP. (a_8=1000+7(-50)=650).
Step 3
Exam Tip
यह घटती समान्तर श्रेणी है। (a_8=1000+7(-50)=650)।
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एक सीढ़ी में सबसे नीचे (45) ईंटें हैं और हर ऊपर वाली पंक्ति में (3) ईंटें कम हैं। (12) पंक्तियों में कुल कितनी ईंटें होंगी?
A stair pattern has (45) bricks in the bottom row and (3) fewer bricks in each upper row. How many bricks are there in (12) rows?
#ap
#word-problem
#decreasing
#expert
A (324)
B (330)
C (342)
D (348)
Explanation opens after your attempt
Step 1
Concept
This is the AP \(45,42,39,\ldots\), and (S_{12}=6[90+11(-3)]=342). Exam tip: treat the decrease as a negative common difference.
Step 2
Why this answer is correct
The correct answer is C. (342). This is the AP \(45,42,39,\ldots\), and (S_{12}=6[90+11(-3)]=342). Exam tip: treat the decrease as a negative common difference.
Step 3
Exam Tip
यह \(45,42,39,\ldots\) श्रेणी है और (S_{12}=6[90+11(-3)]=342)। परीक्षा में कमी को ऋणात्मक सार्व अंतर मानें।
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एक समान्तर श्रेणी में प्रथम पद (25) और सार्व अंतर (-2) है। पहले (20) पदों का औसत क्या होगा?
In an arithmetic progression the first term is (25) and the common difference is (-2). What is the average of the first (20) terms?
#ap
#average
#decreasing
#expert
A (5)
B (6)
C (7)
D (8)
Explanation opens after your attempt
Step 1
Concept
The last term is (25+19(-2)=-13), so the average is \(\frac{25-13}{2}=6\). Exam tip: the average is the average of first and last terms.
Step 2
Why this answer is correct
The correct answer is B. (6). The last term is (25+19(-2)=-13), so the average is \(\frac{25-13}{2}=6\). Exam tip: the average is the average of first and last terms.
Step 3
Exam Tip
अंतिम पद (25+19(-2)=-13) है इसलिए औसत \(\frac{25-13}{2}=6\) है। परीक्षा में औसत प्रथम और अंतिम पद का औसत होता है।
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एक समान्तर श्रेणी में (a=18) और (d=-4) है। पहले कितने पदों का योग (144) होगा?
In an arithmetic progression (a=18) and (d=-4). How many first terms have sum (144)?
#ap
#find-n
#decreasing
#expert
A (8)
B (9)
C (10)
D (12)
Explanation opens after your attempt
Step 1
Concept
Using the sum formula gives (n=9). Exam tip: even in a decreasing AP, take the positive value of (n).
Step 2
Why this answer is correct
The correct answer is B. (9). Using the sum formula gives (n=9). Exam tip: even in a decreasing AP, take the positive value of (n).
Step 3
Exam Tip
योग सूत्र रखने पर समीकरण से (n=9) मिलता है। परीक्षा में घटती श्रेणी में भी धनात्मक (n) ही लें।
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समान्तर श्रेणी \(81,75,69,\ldots\) के कितने आरम्भिक पदों का योग (315) होगा?
How many initial terms of the arithmetic progression \(81,75,69,\ldots\) have sum (315)?
#ap
#decreasing-ap
#expert
A (5)
B (6)
C (7)
D (8)
Explanation opens after your attempt
Step 1
Concept
Solving (\frac{n}{2}[162-6(n-1)]=315) gives (n=7). Exam tip: the same sum formula works for decreasing progressions too.
Step 2
Why this answer is correct
The correct answer is C. (7). Solving (\frac{n}{2}[162-6(n-1)]=315) gives (n=7). Exam tip: the same sum formula works for decreasing progressions too.
Step 3
Exam Tip
(\frac{n}{2}[162-6(n-1)]=315) हल करने पर (n=7) मिलता है। परीक्षा में घटती श्रेणी में भी वही योग सूत्र लागू होता है।
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समांतर श्रेढ़ी \(250,238,226,\ldots\) के पहले (30) पदों का योग ज्ञात कीजिए।
Find the sum of the first (30) terms of the AP \(250,238,226,\ldots\).
#decreasing sequence
#last term
#sum
A (2200)
B (2240)
C (2320)
D (2280)
Explanation opens after your attempt
Step 1
Concept
The last term is (-98), and \(S_{30}=2280\). Once the last term is found, (S_n=\frac{n}{2}(a+l)) is faster.
Step 2
Why this answer is correct
The correct answer is D. (2280). The last term is (-98), and \(S_{30}=2280\). Once the last term is found, (S_n=\frac{n}{2}(a+l)) is faster.
Step 3
Exam Tip
अंतिम पद (-98) है और \(S_{30}=2280\) है। अंतिम पद मिल जाए तो (S_n=\frac{n}{2}(a+l)) तेज रहता है।
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समांतर श्रेढ़ी \(300,287,274,\ldots\) के पहले (35) पदों का योग ज्ञात कीजिए।
Find the sum of the first (35) terms of the AP \(300,287,274,\ldots\).
#decreasing ap
#negative difference
#sum
A (2715)
B (2735)
C (2755)
D (2765)
Explanation opens after your attempt
Step 1
Concept
Here (d=-13), and \(S_{35}=2765\). Do not forget the negative sign of the common difference in a decreasing AP.
Step 2
Why this answer is correct
The correct answer is D. (2765). Here (d=-13), and \(S_{35}=2765\). Do not forget the negative sign of the common difference in a decreasing AP.
Step 3
Exam Tip
यहाँ (d=-13) है और \(S_{35}=2765\) आता है। घटती श्रेढ़ी में सार्व अंतर का ऋणात्मक चिह्न न भूलें।
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समांतर श्रेढ़ी \(140,132,124,\ldots\) के पहले (25) पदों का योग ज्ञात कीजिए।
Find the sum of the first (25) terms of the AP \(140,132,124,\ldots\).
#decreasing ap
#last term
#sum
A (1040)
B (1060)
C (1080)
D (1100)
Explanation opens after your attempt
Step 1
Concept
The last term is (-52), and \(S_{25}=1100\). Even in a decreasing AP, (S_n=\frac{n}{2}(a+l)) is useful.
Step 2
Why this answer is correct
The correct answer is D. (1100). The last term is (-52), and \(S_{25}=1100\). Even in a decreasing AP, (S_n=\frac{n}{2}(a+l)) is useful.
Step 3
Exam Tip
अंतिम पद (-52) है और \(S_{25}=1100\) है। घटती श्रेढ़ी में भी (S_n=\frac{n}{2}(a+l)) उपयोगी है।
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समांतर श्रेढ़ी \(160,151,142,\ldots\) के पहले (22) पदों का योग ज्ञात कीजिए।
Find the sum of the first (22) terms of the AP \(160,151,142,\ldots\).
#decreasing ap
#negative difference
#sum
A (1397)
B (1419)
C (1463)
D (1441)
Explanation opens after your attempt
Step 1
Concept
Here (d=-9), and the formula gives \(S_{22}=1441\). In a decreasing AP, write the common difference as negative.
Step 2
Why this answer is correct
The correct answer is D. (1441). Here (d=-9), and the formula gives \(S_{22}=1441\). In a decreasing AP, write the common difference as negative.
Step 3
Exam Tip
यहाँ (d=-9) है और सूत्र से \(S_{22}=1441\) मिलता है। घटती श्रेढ़ी में सार्व अंतर ऋणात्मक लिखें।
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समांतर श्रेढ़ी \(95,89,83,\ldots\) के पहले (20) पदों का योग ज्ञात कीजिए।
Find the sum of the first (20) terms of the AP \(95,89,83,\ldots\).
#decreasing ap
#last term
#sum
A (730)
B (760)
C (790)
D (820)
Explanation opens after your attempt
Step 1
Concept
The last term is (-19), and \(S_{20}=760\). Even in a decreasing AP, (S_n=\frac{n}{2}(a+l)) is useful.
Step 2
Why this answer is correct
The correct answer is B. (760). The last term is (-19), and \(S_{20}=760\). Even in a decreasing AP, (S_n=\frac{n}{2}(a+l)) is useful.
Step 3
Exam Tip
अंतिम पद (-19) है और \(S_{20}=760\) है। घटती श्रेढ़ी में भी (S_n=\frac{n}{2}(a+l)) उपयोगी है।
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समांतर श्रेढ़ी \(120,113,106,\ldots\) के पहले (25) पदों का योग ज्ञात कीजिए।
Find the sum of the first (25) terms of the AP \(120,113,106,\ldots\).
#decreasing ap
#negative difference
#sum
A (850)
B (875)
C (900)
D (925)
Explanation opens after your attempt
Step 1
Concept
Here (d=-7), and the formula gives \(S_{25}=900\). In a decreasing AP, write the common difference as negative.
Step 2
Why this answer is correct
The correct answer is C. (900). Here (d=-7), and the formula gives \(S_{25}=900\). In a decreasing AP, write the common difference as negative.
Step 3
Exam Tip
यहाँ (d=-7) है और सूत्र से \(S_{25}=900\) मिलता है। घटती श्रेढ़ी में सार्व अंतर ऋणात्मक लिखें।
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समांतर श्रेढ़ी \(50,47,44,\ldots\) में (6)वें पद से (20)वें पद तक का योग क्या है?
In the AP \(50,47,44,\ldots\), what is the sum from the (6)th term to the (20)th term?
#decreasing ap
#middle terms
#partial sum
A (180)
B (195)
C (210)
D (225)
Explanation opens after your attempt
Step 1
Concept
The required sum is \(S_{20}-S_5=210\). The same partial-sum method works for a decreasing AP.
Step 2
Why this answer is correct
The correct answer is C. (210). The required sum is \(S_{20}-S_5=210\). The same partial-sum method works for a decreasing AP.
Step 3
Exam Tip
आवश्यक योग \(S_{20}-S_5=210\) है। घटती श्रेढ़ी में भी आंशिक योग का वही तरीका लागू होता है।
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समांतर श्रेढ़ी \(24,21,18,\ldots\) के पहले (16) पदों का योग कितना है?
What is the sum of the first (16) terms of the AP \(24,21,18,\ldots\)?
#decreasing ap
#small sum
#ap
A (20)
B (22)
C (24)
D (26)
Explanation opens after your attempt
Step 1
Concept
The last term is (-21), and (S_{16}=\frac{16}{2}(24-21)=24). Positive and negative terms can greatly reduce the sum.
Step 2
Why this answer is correct
The correct answer is C. (24). The last term is (-21), and (S_{16}=\frac{16}{2}(24-21)=24). Positive and negative terms can greatly reduce the sum.
Step 3
Exam Tip
अंतिम पद (-21) है और (S_{16}=\frac{16}{2}(24-21)=24)। धनात्मक और ऋणात्मक पद एक-दूसरे को काफी घटा सकते हैं।
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समांतर श्रेढ़ी \(100,95,90,\ldots\) के पहले (12) पदों का योग ज्ञात कीजिए।
Find the sum of the first (12) terms of the AP \(100,95,90,\ldots\).
#decreasing sequence
#last term
#sum
A (870)
B (880)
C (890)
D (900)
Explanation opens after your attempt
Step 1
Concept
The last term is (45), so (S_{12}=\frac{12}{2}(100+45)=870). Once the last term is found, the sum is quick.
Step 2
Why this answer is correct
The correct answer is A. (870). The last term is (45), so (S_{12}=\frac{12}{2}(100+45)=870). Once the last term is found, the sum is quick.
Step 3
Exam Tip
अंतिम पद (45) है, इसलिए (S_{12}=\frac{12}{2}(100+45)=870)। अंतिम पद मिल जाए तो योग तेजी से निकलेगा।
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समांतर श्रेढ़ी \(31,28,25,\ldots\) के पहले (20) पदों का योग ज्ञात कीजिए।
Find the sum of the first (20) terms of the AP \(31,28,25,\ldots\).
#decreasing ap
#negative terms
#sum
A (50)
B (55)
C (60)
D (65)
Explanation opens after your attempt
Step 1
Concept
Here the last term is (-26), and \(S_{20}=50\). In a decreasing AP, the sum can become quite small.
Step 2
Why this answer is correct
The correct answer is A. (50). Here the last term is (-26), and \(S_{20}=50\). In a decreasing AP, the sum can become quite small.
Step 3
Exam Tip
यहाँ अंतिम पद (-26) है और \(S_{20}=50\) मिलता है। घटती श्रेढ़ी में योग बहुत छोटा भी हो सकता है।
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समांतर श्रेढ़ी \(50,47,44,\ldots\) के पहले (18) पदों का योग ज्ञात कीजिए।
Find the sum of the first (18) terms of the AP \(50,47,44,\ldots\).
#decreasing ap
#ap sum
#common difference
A (441)
B (459)
C (468)
D (450)
Explanation opens after your attempt
Step 1
Concept
Here (d=-3), and the formula gives \(S_{18}=441\). In a decreasing AP, write the common difference as negative.
Step 2
Why this answer is correct
The correct answer is A. (441). Here (d=-3), and the formula gives \(S_{18}=441\). In a decreasing AP, write the common difference as negative.
Step 3
Exam Tip
यहाँ (d=-3) है और सूत्र से \(S_{18}=441\) मिलता है। घटती श्रेढ़ी में सार्व अंतर ऋणात्मक लिखें।
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यदि (S_n=\frac{n}{2}(a+l)), (a=25), (l=5), और (n=7) है, तो योग क्या होगा?
If (S_n=\frac{n}{2}(a+l)), (a=25), (l=5), and (n=7), what is the sum?
#ap_sum
#first_last
#decreasing
A (95)
B (100)
C (105)
D (110)
Explanation opens after your attempt
Step 1
Concept
(S_7=\frac{7}{2}(25+5)=105). The first term may be larger, but the formula remains the same.
Step 2
Why this answer is correct
The correct answer is C. (105). (S_7=\frac{7}{2}(25+5)=105). The first term may be larger, but the formula remains the same.
Step 3
Exam Tip
(S_7=\frac{7}{2}(25+5)=105)। पहला पद बड़ा हो सकता है, फिर भी सूत्र वही रहता है।
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समान्तर श्रेणी \(60,54,48,\ldots\) के पहले (5) पदों का योग क्या होगा?
What will be the sum of the first (5) terms of the AP \(60,54,48,\ldots\)?
#ap-sum-five-decreasing
A (230)
B (240)
C (250)
D (260)
Explanation opens after your attempt
Step 1
Concept
The fifth term is (36). (S_5=\frac{5}{2}(60+36)=240).
Step 2
Why this answer is correct
The correct answer is B. (240). The fifth term is (36). (S_5=\frac{5}{2}(60+36)=240).
Step 3
Exam Tip
पांचवां पद (36) है। (S_5=\frac{5}{2}(60+36)=240)।
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समान्तर श्रेणी \(50,45,40,\ldots\) के पहले (9) पदों का योग क्या है?
What is the sum of the first (9) terms of the AP \(50,45,40,\ldots\)?
#ap-sum-decreasing-nine
A (260)
B (270)
C (280)
D (290)
Explanation opens after your attempt
Step 1
Concept
The ninth term is (10). (S_9=\frac{9}{2}(50+10)=270).
Step 2
Why this answer is correct
The correct answer is B. (270). The ninth term is (10). (S_9=\frac{9}{2}(50+10)=270).
Step 3
Exam Tip
नौवां पद (10) है। (S_9=\frac{9}{2}(50+10)=270)।
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समान्तर श्रेणी \(100,90,80,\ldots\) के पहले (6) पदों का योग क्या है?
What is the sum of the first (6) terms of the AP \(100,90,80,\ldots\)?
#ap-sum-decreasing-six
A (430)
B (440)
C (450)
D (460)
Explanation opens after your attempt
Step 1
Concept
The sixth term is (50). (S_6=\frac{6}{2}(100+50)=450).
Step 2
Why this answer is correct
The correct answer is C. (450). The sixth term is (50). (S_6=\frac{6}{2}(100+50)=450).
Step 3
Exam Tip
छठा पद (50) है। (S_6=\frac{6}{2}(100+50)=450)।
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यदि (a=25), (d=-2), (n=15) है तो \(S_{15}\) क्या होगा?
If (a=25), (d=-2), (n=15), what is \(S_{15}\)?
#ap-sum-decreasing-values
A (155)
B (160)
C (165)
D (170)
Explanation opens after your attempt
Step 1
Concept
In a decreasing AP use (d=-2). (S_{15}=\frac{15}{2}[50+14(-2)]=165).
Step 2
Why this answer is correct
The correct answer is C. (165). In a decreasing AP use (d=-2). (S_{15}=\frac{15}{2}[50+14(-2)]=165).
Step 3
Exam Tip
घटती AP में (d=-2) रखें। (S_{15}=\frac{15}{2}[50+14(-2)]=165)।
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समान्तर श्रेणी \(20,18,16,\ldots\) के पहले (8) पदों का योग क्या है?
What is the sum of the first (8) terms of the AP \(20,18,16,\ldots\)?
#ap-sum-decreasing
A (100)
B (104)
C (108)
D (112)
Explanation opens after your attempt
Step 1
Concept
This is a decreasing AP with (d=-2). (S_8=\frac{8}{2}[40+7(-2)]=104).
Step 2
Why this answer is correct
The correct answer is B. (104). This is a decreasing AP with (d=-2). (S_8=\frac{8}{2}[40+7(-2)]=104).
Step 3
Exam Tip
यह घटती AP है जिसमें (d=-2) है। (S_8=\frac{8}{2}[40+7(-2)]=104)।
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समान्तर श्रेणी \(240,222,204,\ldots\) में (-150) से बड़ा अंतिम पद कौन-सा है?
In the AP \(240,222,204,\ldots\), which is the last term greater than (-150)?
#ap expert decreasing limit
A (-138)
B (-144)
C (-150)
D (-156)
Explanation opens after your attempt
Step 1
Concept
(d=-18). After (-144), (-162) comes, so the last term greater than (-150) is (-144).
Step 2
Why this answer is correct
The correct answer is B. (-144). (d=-18). After (-144), (-162) comes, so the last term greater than (-150) is (-144).
Step 3
Exam Tip
(d=-18) है। (-144) के बाद (-162) आता है इसलिए (-150) से बड़ा अंतिम पद (-144) है।
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समान्तर श्रेणी \(310,291,272,\ldots\) में (75) से छोटा पहला पद कौन-सा है?
In the AP \(310,291,272,\ldots\), what is the first term less than (75)?
#ap expert decreasing boundary
A (82)
B (63)
C (44)
D (25)
Explanation opens after your attempt
Step 1
Concept
Here (d=-19). After (82), (63) comes, so the first term less than (75) is (63).
Step 2
Why this answer is correct
The correct answer is B. (63). Here (d=-19). After (82), (63) comes, so the first term less than (75) is (63).
Step 3
Exam Tip
यहां (d=-19) है। (82) के बाद (63) आता है इसलिए (75) से छोटा पहला पद (63) है।
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समान्तर श्रेणी \(156,142,128,\ldots\) में (-120) से बड़ा अंतिम पद कौन-सा है?
In the AP \(156,142,128,\ldots\), which is the last term greater than (-120)?
#ap expert decreasing limit
A (-110)
B (-112)
C (-118)
D (-124)
Explanation opens after your attempt
Step 1
Concept
(d=-14). (-110) is not in this AP, while after (-112), (-126) comes.
Step 2
Why this answer is correct
The correct answer is B. (-112). (d=-14). (-110) is not in this AP, while after (-112), (-126) comes.
Step 3
Exam Tip
(d=-14) है। (-110) इस श्रेणी में नहीं है, जबकि (-112) के बाद (-126) आता है।
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समान्तर श्रेणी \(221,204,187,\ldots\) में (50) से छोटा पहला पद कौन-सा है?
In the AP \(221,204,187,\ldots\), what is the first term less than (50)?
#ap expert decreasing boundary
A (51)
B (34)
C (17)
D (0)
Explanation opens after your attempt
Step 1
Concept
Here (d=-17). After (51), (34) comes, so the first term less than (50) is (34).
Step 2
Why this answer is correct
The correct answer is B. (34). Here (d=-17). After (51), (34) comes, so the first term less than (50) is (34).
Step 3
Exam Tip
यहां (d=-17) है। (51) के बाद (34) आता है, इसलिए (50) से छोटा पहला पद (34) है।
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समान्तर श्रेणी \(121,109,97,\ldots\) में (-75) से बड़ा अंतिम पद कौन-सा है?
In the AP \(121,109,97,\ldots\), which is the last term greater than (-75)?
#ap-decreasing-limit-expert
A (-71)
B (-75)
C (-83)
D (-87)
Explanation opens after your attempt
Step 1
Concept
(d=-12). After (-71), the next term is (-83), so the last term greater than (-75) is (-71).
Step 2
Why this answer is correct
The correct answer is A. (-71). (d=-12). After (-71), the next term is (-83), so the last term greater than (-75) is (-71).
Step 3
Exam Tip
(d=-12) है। (-71) के बाद (-83) आता है, इसलिए (-75) से बड़ा अंतिम पद (-71) है।
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समान्तर श्रेणी \(169,154,139,\ldots\) में (40) से छोटा पहला पद कौन-सा है?
In the AP \(169,154,139,\ldots\), what is the first term less than (40)?
#ap-decreasing-boundary-expert
A (49)
B (34)
C (19)
D (4)
Explanation opens after your attempt
Step 1
Concept
Here (d=-15). After (49), the next term is (34), so the first term less than (40) is (34).
Step 2
Why this answer is correct
The correct answer is B. (34). Here (d=-15). After (49), the next term is (34), so the first term less than (40) is (34).
Step 3
Exam Tip
यहां (d=-15) है। (49) के बाद (34) आता है, इसलिए (40) से छोटा पहला पद (34) है।
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समान्तर श्रेणी \(104,95,86,\ldots\) में (-50) से बड़ा अंतिम पद कौन-सा है?
In the AP \(104,95,86,\ldots\), which is the last term greater than (-50)?
#ap decreasing limit hard
A (-41)
B (-45)
C (-50)
D (-59)
Explanation opens after your attempt
Step 1
Concept
(d=-9). The last term greater than (-50) is (-40) if it appears, so always verify actual terms before choosing.
Step 2
Why this answer is correct
The correct answer is A. (-41). (d=-9). The last term greater than (-50) is (-40) if it appears, so always verify actual terms before choosing.
Step 3
Exam Tip
(d=-9) है। (-50) से बड़ा अंतिम पद (-40) नहीं बल्कि (-40) श्रेणी में नहीं आता इसलिए (-40) से पहले सही पद (-40) जांचना चाहिए।
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समान्तर श्रेणी \(143,130,117,\ldots\) में (25) से छोटा पहला पद कौन-सा है?
In the AP \(143,130,117,\ldots\), what is the first term less than (25)?
#ap decreasing boundary hard
A (13)
B (26)
C (0)
D (-13)
Explanation opens after your attempt
Step 1
Concept
In this AP, (d=-13). After (26), the next term is (13), so the first term less than (25) is (13).
Step 2
Why this answer is correct
The correct answer is A. (13). In this AP, (d=-13). After (26), the next term is (13), so the first term less than (25) is (13).
Step 3
Exam Tip
इस AP में (d=-13) है। (26) के बाद (13) आता है इसलिए (25) से छोटा पहला पद (13) है।
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समान्तर श्रेणी \(85,77,69,\ldots\) में (-35) से बड़ा अंतिम पद कौन-सा है?
In the AP \(85,77,69,\ldots\), which is the last term greater than (-35)?
#ap-decreasing-limit-hard
A (-27)
B (-29)
C (-31)
D (-35)
Explanation opens after your attempt
Step 1
Concept
(d=-8). The last term greater than (-35) is (-27) because the next term is (-35).
Step 2
Why this answer is correct
The correct answer is C. (-31). (d=-8). The last term greater than (-35) is (-27) because the next term is (-35).
Step 3
Exam Tip
(d=-8) है। (-35) से बड़ा अंतिम पद (-27) है क्योंकि अगला पद (-35) है।
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समान्तर श्रेणी \(112,101,90,\ldots\) में (15) से छोटा पहला पद कौन-सा है?
In the AP \(112,101,90,\ldots\), what is the first term less than (15)?
#ap-decreasing-boundary-hard
A (13)
B (2)
C (-9)
D (24)
Explanation opens after your attempt
Step 1
Concept
In this AP, (d=-11). After (24), the next term is (13), so the first term less than (15) is (13).
Step 2
Why this answer is correct
The correct answer is A. (13). In this AP, (d=-11). After (24), the next term is (13), so the first term less than (15) is (13).
Step 3
Exam Tip
इस AP में (d=-11) है। (24) के बाद (13) आता है इसलिए (15) से छोटा पहला पद (13) है।
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समान्तर श्रेणी \(64,57,50,\ldots\) में (-20) से बड़ा अंतिम पद कौन-सा है?
In the AP \(64,57,50,\ldots\), which is the last term greater than (-20)?
#ap-decreasing-limit-hard
A (-13)
B (-16)
C (-18)
D (-20)
Explanation opens after your attempt
Step 1
Concept
(d=-7). The last term greater than (-20) is (-13) because the next term is (-20).
Step 2
Why this answer is correct
The correct answer is A. (-13). (d=-7). The last term greater than (-20) is (-13) because the next term is (-20).
Step 3
Exam Tip
(d=-7) है। (-20) से बड़ा अंतिम पद (-13) है क्योंकि अगला पद (-20) है।
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समान्तर श्रेणी \(97,88,79,\ldots\) में (20) से छोटा पहला पद कौन-सा है?
In the AP \(97,88,79,\ldots\), what is the first term less than (20)?
#ap-decreasing-boundary-hard
A (16)
B (7)
C (25)
D (18)
Explanation opens after your attempt
Step 1
Concept
In this AP, (d=-9). After the term (25), the next term is (16), so the first term less than (20) is (16).
Step 2
Why this answer is correct
The correct answer is A. (16). In this AP, (d=-9). After the term (25), the next term is (16), so the first term less than (20) is (16).
Step 3
Exam Tip
इस AP में (d=-9)। पद (25) के बाद (16) आता है इसलिए (20) से छोटा पहला पद (16) है।
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समान्तर श्रेणी \(128,119,110,\ldots\) में (30) से बड़ा अंतिम पद कौन-सा है?
In the AP \(128,119,110,\ldots\), which is the last term greater than (30)?
#ap decreasing-ap greater-than nth-term
A (32)
B (34)
C (38)
D (29)
Explanation opens after your attempt
Step 1
Concept
(d=-9) and the terms go \(128,119,110,\ldots,38,29\). The last term greater than (30) is (38).
Step 2
Why this answer is correct
The correct answer is C. (38). (d=-9) and the terms go \(128,119,110,\ldots,38,29\). The last term greater than (30) is (38).
Step 3
Exam Tip
(d=-9) है और पद \(128,119,110,\ldots,38,29\) आते हैं। (30) से बड़ा अंतिम पद (38) है।
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एक टंकी में पहले घंटे (240) लीटर पानी है और हर घंटे (18) लीटर पानी घटता है। (9)वें घंटे में पानी कितना होगा?
A tank has (240) litres of water in the first hour and (18) litres decrease every hour. How much water will be there in the (9)th hour?
#ap word-problem decreasing nth-term
A (96) लीटर / (96) litres
B (102) लीटर / (102) litres
C (108) लीटर / (108) litres
D (114) लीटर / (114) litres
Explanation opens after your attempt
Correct Answer
A. (96) लीटर / (96) litres
Step 1
Concept
This is a decreasing AP with (a=240) and (d=-18). (a_9=240+8(-18)=96) litres.
Step 2
Why this answer is correct
The correct answer is A. (96) लीटर / (96) litres. This is a decreasing AP with (a=240) and (d=-18). (a_9=240+8(-18)=96) litres.
Step 3
Exam Tip
यह घटती AP है जिसमें (a=240) और (d=-18) है। (a_9=240+8(-18)=96) लीटर।
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यदि \(a_n=95-5n\) है तो (26)वां पद क्या होगा?
If \(a_n=95-5n\), what will be the (26)th term?
#ap direct-formula decreasing class10
A (-35)
B (-30)
C (-25)
D (-20)
Explanation opens after your attempt
Step 1
Concept
\(a_{26}=95-5\times26=-35\). In a decreasing formula check the sign after subtraction.
Step 2
Why this answer is correct
The correct answer is A. (-35). \(a_{26}=95-5\times26=-35\). In a decreasing formula check the sign after subtraction.
Step 3
Exam Tip
\(a_{26}=95-5\times26=-35\)। घटते सूत्र में घटाव के बाद चिन्ह जांचें।
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समान्तर श्रेणी \(120,109,98,\ldots\) का (13)वां पद क्या होगा?
What will be the (13)th term of the AP \(120,109,98,\ldots\)?
#ap decreasing-ap nth-term class10
A (-8)
B (-10)
C (-12)
D (-14)
Explanation opens after your attempt
Step 1
Concept
(d=-11) so (a_{13}=120+12(-11)=-12). With a large negative difference multiply first.
Step 2
Why this answer is correct
The correct answer is C. (-12). (d=-11) so (a_{13}=120+12(-11)=-12). With a large negative difference multiply first.
Step 3
Exam Tip
(d=-11) है इसलिए (a_{13}=120+12(-11)=-12)। बड़े ऋणात्मक अंतर में गुणा पहले करें।
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समान्तर श्रेणी \(84,78,72,\ldots\) का (18)वां पद ज्ञात कीजिए।
Find the (18)th term of the AP \(84,78,72,\ldots\).
#ap decreasing-ap nth-term class10
A (-12)
B (-18)
C (-24)
D (-30)
Explanation opens after your attempt
Step 1
Concept
Here (d=-6) so (a_{18}=84+17(-6)=-18). In a decreasing AP take the common difference as negative.
Step 2
Why this answer is correct
The correct answer is B. (-18). Here (d=-6) so (a_{18}=84+17(-6)=-18). In a decreasing AP take the common difference as negative.
Step 3
Exam Tip
यहां (d=-6) है इसलिए (a_{18}=84+17(-6)=-18)। घटती AP में सार्व अंतर को ऋणात्मक लें।
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समान्तर श्रेणी \(90,83,76,\ldots\) में (20) से बड़ा अंतिम पद कौन-सा है?
In the AP \(90,83,76,\ldots\), which is the last term greater than (20)?
#ap
#decreasing-ap
#greater-than
#nth-term
A (20)
B (21)
C (24)
D (27)
Explanation opens after your attempt
Step 1
Concept
(d=-7) and the terms go \(90,83,76,\ldots,27,20\). The last term greater than (20) is (27).
Step 2
Why this answer is correct
The correct answer is D. (27). (d=-7) and the terms go \(90,83,76,\ldots,27,20\). The last term greater than (20) is (27).
Step 3
Exam Tip
(d=-7) है और पद \(90,83,76,\ldots,27,20\) आते हैं। (20) से बड़ा अंतिम पद (27) है।
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एक मोबाइल प्लान में पहले महीने शुल्क (₹900) है और हर महीने (₹35) की छूट बढ़ती है। (10)वें महीने का शुल्क क्या होगा?
In a mobile plan, the fee in the first month is (₹900) and the discount increases by (₹35) each month. What is the fee in the (10)th month?
#ap
#word-problem
#decreasing
#nth-term
A (₹550)
B (₹565)
C (₹585)
D (₹600)
Explanation opens after your attempt
Step 1
Concept
The fee is decreasing so (d=-35). (a_{10}=900+9(-35)=585).
Step 2
Why this answer is correct
The correct answer is C. (₹585). The fee is decreasing so (d=-35). (a_{10}=900+9(-35)=585).
Step 3
Exam Tip
शुल्क घट रहा है इसलिए (d=-35)। (a_{10}=900+9(-35)=585)।
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एक टैंक में पहले मिनट (180) लीटर पानी है और हर मिनट (12) लीटर पानी निकलता है। (11)वें मिनट में पानी की मात्रा क्या होगी?
A tank has (180) litres of water in the first minute and (12) litres drain out each minute. What is the amount of water in the (11)th minute?
#ap
#word-problem
#decreasing
#nth-term
A (60) लीटर / (60) litres
B (48) लीटर / (48) litres
C (72) लीटर / (72) litres
D (84) लीटर / (84) litres
Explanation opens after your attempt
Correct Answer
A. (60) लीटर / (60) litres
Step 1
Concept
This is a decreasing AP with (a=180) and (d=-12). (a_{11}=180+10(-12)=60) litres.
Step 2
Why this answer is correct
The correct answer is A. (60) लीटर / (60) litres. This is a decreasing AP with (a=180) and (d=-12). (a_{11}=180+10(-12)=60) litres.
Step 3
Exam Tip
यह घटती समान्तर श्रेणी है जिसमें (a=180) और (d=-12) है। (a_{11}=180+10(-12)=60) लीटर।
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यदि \(a_n=82-4n\) है तो समान्तर श्रेणी का (23)वां पद क्या होगा?
If \(a_n=82-4n\), what will be the (23)rd term of the AP?
#ap
#direct-formula
#decreasing
#class10
A (-10)
B (-8)
C (-12)
D (-14)
Explanation opens after your attempt
Step 1
Concept
\(a_{23}=82-4\times23=-10\). Do subtraction carefully in a decreasing direct formula.
Step 2
Why this answer is correct
The correct answer is A. (-10). \(a_{23}=82-4\times23=-10\). Do subtraction carefully in a decreasing direct formula.
Step 3
Exam Tip
\(a_{23}=82-4\times23=-10\)। घटते प्रत्यक्ष सूत्र में घटाव को ध्यान से करें।
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समान्तर श्रेणी \(96,87,78,\ldots\) का (12)वां पद क्या है?
What is the (12)th term of the AP \(96,87,78,\ldots\)?
#ap
#decreasing-ap
#nth-term
#class10
A (-3)
B (0)
C (3)
D (6)
Explanation opens after your attempt
Step 1
Concept
(d=-9) so (a_{12}=96+11(-9)=-3). Do not accidentally change the sign in a large decreasing difference.
Step 2
Why this answer is correct
The correct answer is A. (-3). (d=-9) so (a_{12}=96+11(-9)=-3). Do not accidentally change the sign in a large decreasing difference.
Step 3
Exam Tip
(d=-9) है इसलिए (a_{12}=96+11(-9)=-3)। बड़े घटते अंतर में चिन्ह गलती से न बदलें।
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समान्तर श्रेणी \(38,33,28,\ldots\) का (17)वां पद ज्ञात कीजिए।
Find the (17)th term of the AP \(38,33,28,\ldots\).
#ap
#decreasing-ap
#nth-term
#class10
A (-42)
B (-40)
C (-44)
D (-46)
Explanation opens after your attempt
Step 1
Concept
Here (a=38) and (d=-5) so (a_{17}=38+16(-5)=-42). In a decreasing AP take (d) as negative.
Step 2
Why this answer is correct
The correct answer is A. (-42). Here (a=38) and (d=-5) so (a_{17}=38+16(-5)=-42). In a decreasing AP take (d) as negative.
Step 3
Exam Tip
यहां (a=38) और (d=-5) है इसलिए (a_{17}=38+16(-5)=-42)। घटती श्रेणी में (d) को ऋणात्मक लें।
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समान्तर श्रेणी \(64,58,52,\ldots\) में (10) से बड़ा अंतिम पद कौन-सा है?
In the AP \(64,58,52,\ldots\), which is the last term greater than (10)?
#ap
#decreasing-ap
#greater-than
#nth-term
A (10)
B (12)
C (16)
D (22)
Explanation opens after your attempt
Step 1
Concept
The terms \(64,58,52,\ldots\) have (d=-6). The last term greater than (10) is (16) because the next term is (10).
Step 2
Why this answer is correct
The correct answer is C. (16). The terms \(64,58,52,\ldots\) have (d=-6). The last term greater than (10) is (16) because the next term is (10).
Step 3
Exam Tip
पद \(64,58,52,\ldots\) में (d=-6) है। (10) से बड़ा अंतिम पद (16) है क्योंकि अगला पद (10) है।
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एक मशीन पहले घंटे (500) वस्तुएं बनाती है और हर अगले घंटे उत्पादन (20) वस्तुएं घटता है। (14)वें घंटे का उत्पादन क्या होगा?
A machine makes (500) items in the first hour and production decreases by (20) items each next hour. What is the production in the (14)th hour?
#ap
#word-problem
#decreasing
#nth-term
A (240)
B (260)
C (280)
D (300)
Explanation opens after your attempt
Step 1
Concept
Here (a=500), (d=-20), so (a_{14}=500+13(-20)=240). In decreasing word problems, take (d) as negative.
Step 2
Why this answer is correct
The correct answer is A. (240). Here (a=500), (d=-20), so (a_{14}=500+13(-20)=240). In decreasing word problems, take (d) as negative.
Step 3
Exam Tip
यहां (a=500), (d=-20), इसलिए (a_{14}=500+13(-20)=240)। घटते शब्द-प्रश्न में (d) ऋणात्मक लें।
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समान्तर श्रेणी \(100,92,84,\ldots\) का (15)वां पद क्या होगा?
What will be the (15)th term of the AP \(100,92,84,\ldots\)?
#ap
#decreasing-ap
#nth-term
#class10
A (4)
B (-4)
C (12)
D (-12)
Explanation opens after your attempt
Step 1
Concept
Here (d=-8), so (a_{15}=100+14(-8)=-12). In large decreasing differences, multiply first.
Step 2
Why this answer is correct
The correct answer is D. (-12). Here (d=-8), so (a_{15}=100+14(-8)=-12). In large decreasing differences, multiply first.
Step 3
Exam Tip
यहां (d=-8), इसलिए (a_{15}=100+14(-8)=-12)। बड़े घटते अंतर में गुणा पहले करें।
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समांतर श्रेढ़ी \(200,180,160,140,\ldots\) का (11)वाँ पद क्या है?
What is the (11)th term of the AP \(200,180,160,140,\ldots\)?
#ap decreasing
#nth term
#zero term
A (20)
B (40)
C (10)
D (0)
Explanation opens after your attempt
Step 1
Concept
Here (d=-20), so (a_{11}=200+10(-20)=0). In a decreasing AP, a term can also become zero.
Step 2
Why this answer is correct
The correct answer is D. (0). Here (d=-20), so (a_{11}=200+10(-20)=0). In a decreasing AP, a term can also become zero.
Step 3
Exam Tip
यहाँ (d=-20) है, इसलिए (a_{11}=200+10(-20)=0)। घटती श्रेढ़ी में पद शून्य भी हो सकता है।
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समांतर श्रेढ़ी \(45,39,33,27,\ldots\) का (10)वाँ पद ज्ञात करें।
Find the (10)th term of the AP \(45,39,33,27,\ldots\).
#ap decreasing
#nth term
#formula
A (-3)
B (-9)
C (3)
D (0)
Explanation opens after your attempt
Step 1
Concept
Here (d=-6), so (a_{10}=45+9(-6)=-9). Subtract (9) differences, not (10).
Step 2
Why this answer is correct
The correct answer is B. (-9). Here (d=-6), so (a_{10}=45+9(-6)=-9). Subtract (9) differences, not (10).
Step 3
Exam Tip
यहाँ (d=-6) है, इसलिए (a_{10}=45+9(-6)=-9)। (9) अंतर घटाने हैं, (10) नहीं।
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यदि \(a_n=30-3n\) है, तो (6)वाँ पद क्या होगा?
If \(a_n=30-3n\), what will be the (6)th term?
#ap nth term
#general term
#decreasing
A (18)
B (9)
C (15)
D (12)
Explanation opens after your attempt
Step 1
Concept
\(a_6=30-3\times6=12\). Be careful with subtraction in a decreasing general term.
Step 2
Why this answer is correct
The correct answer is D. (12). \(a_6=30-3\times6=12\). Be careful with subtraction in a decreasing general term.
Step 3
Exam Tip
\(a_6=30-3\times6=12\)। घटते हुए सामान्य पद में घटाव सावधानी से करें।
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समांतर श्रेढ़ी \(9,5,1,-3,\ldots\) का (8)वाँ पद ज्ञात कीजिए।
Find the (8)th term of the AP \(9,5,1,-3,\ldots\).
#ap decreasing
#nth term
#easy
A (-15)
B (-19)
C (-23)
D (-11)
Explanation opens after your attempt
Step 1
Concept
Here (d=-4), so (a_8=9+7(-4)=-19). Brackets are useful with negative (d).
Step 2
Why this answer is correct
The correct answer is B. (-19). Here (d=-4), so (a_8=9+7(-4)=-19). Brackets are useful with negative (d).
Step 3
Exam Tip
यहाँ (d=-4) है, इसलिए (a_8=9+7(-4)=-19)। ऋणात्मक (d) के साथ कोष्ठक उपयोगी होते हैं।
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समांतर श्रेढ़ी \(100,90,80,70,\ldots\) का (6)वाँ पद क्या है?
What is the (6)th term of the AP \(100,90,80,70,\ldots\)?
#ap decreasing
#nth term
#easy
A (50)
B (40)
C (60)
D (45)
Explanation opens after your attempt
Step 1
Concept
Here (d=-10), so (a_6=100+5(-10)=50). Identify (d) correctly from the first terms.
Step 2
Why this answer is correct
The correct answer is A. (50). Here (d=-10), so (a_6=100+5(-10)=50). Identify (d) correctly from the first terms.
Step 3
Exam Tip
यहाँ (d=-10) है, इसलिए (a_6=100+5(-10)=50)। पहले चार पद देखकर (d) सही पहचानें।
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समांतर श्रेढ़ी \(50,45,40,35,\ldots\) का (7)वाँ पद क्या होगा?
What will be the (7)th term of the AP \(50,45,40,35,\ldots\)?
#ap
#nth term
#decreasing sequence
A (25)
B (15)
C (20)
D (30)
Explanation opens after your attempt
Step 1
Concept
Here (d=-5), so (a_7=50+6(-5)=20). Writing a negative difference in brackets is safer.
Step 2
Why this answer is correct
The correct answer is C. (20). Here (d=-5), so (a_7=50+6(-5)=20). Writing a negative difference in brackets is safer.
Step 3
Exam Tip
यहाँ (d=-5) है, इसलिए (a_7=50+6(-5)=20)। ऋणात्मक अंतर को कोष्ठक में लिखना सुरक्षित है।
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यदि \(48,42,q,30,\ldots\) अंकगणितीय श्रेणी है तो (q) का मान क्या है?
If \(48,42,q,30,\ldots\) is an arithmetic progression, what is the value of (q)?
#ap
#missing term
#decreasing sequence
#medium
A (32)
B (34)
C (36)
D (38)
Explanation opens after your attempt
Step 1
Concept
The common difference is (42-48=-6), so (q=42-6=36). Keep (d) negative in a decreasing progression.
Step 2
Why this answer is correct
The correct answer is C. (36). The common difference is (42-48=-6), so (q=42-6=36). Keep (d) negative in a decreasing progression.
Step 3
Exam Tip
सार्व अंतर (42-48=-6) है इसलिए (q=42-6=36)। घटती श्रेणी में (d) ऋणात्मक रखें।
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अनुक्रम \(56,51,46,41,\ldots\) में (d) का मान क्या है?
What is the value of (d) in the sequence \(56,51,46,41,\ldots\)?
#ap
#negative d
#decreasing ap
#medium
A (5)
B (-5)
C (-10)
D (56)
Explanation opens after your attempt
Step 1
Concept
(d=51-56=-5). In a decreasing progression (d) is written as negative.
Step 2
Why this answer is correct
The correct answer is B. (-5). (d=51-56=-5). In a decreasing progression (d) is written as negative.
Step 3
Exam Tip
(d=51-56=-5) है। घटती श्रेणी में (d) ऋणात्मक लिखा जाता है।
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यदि \(21,18,q,12,\ldots\) अंकगणितीय श्रेणी है तो (q) का मान क्या है?
If \(21,18,q,12,\ldots\) is an arithmetic progression, what is the value of (q)?
#ap
#missing term
#decreasing sequence
#medium
A (13)
B (14)
C (16)
D (15)
Explanation opens after your attempt
Step 1
Concept
The common difference is (18-21=-3), so (q=18-3=15). Keep (d) negative in a decreasing progression.
Step 2
Why this answer is correct
The correct answer is D. (15). The common difference is (18-21=-3), so (q=18-3=15). Keep (d) negative in a decreasing progression.
Step 3
Exam Tip
सार्व अंतर (18-21=-3) है इसलिए (q=18-3=15)। घटती श्रेणी में (d) को ऋणात्मक रखें।
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अनुक्रम \(31,27,23,19,\ldots\) में (d) का मान क्या है?
What is the value of (d) in the sequence \(31,27,23,19,\ldots\)?
#ap
#negative d
#decreasing ap
#medium
A (4)
B (31)
C (-8)
D (-4)
Explanation opens after your attempt
Step 1
Concept
(d=27-31=-4). In a decreasing progression the common difference is written as negative.
Step 2
Why this answer is correct
The correct answer is D. (-4). (d=27-31=-4). In a decreasing progression the common difference is written as negative.
Step 3
Exam Tip
(d=27-31=-4) है। घटती श्रेणी में सार्व अंतर ऋणात्मक लिखा जाता है।
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अनुक्रम \(35,30,25,20,\ldots\) में प्रत्येक पद पिछले पद से कितना कम है?
In the sequence \(35,30,25,20,\ldots\), how much less is each term than the previous term?
#arithmetic-progression
#decreasing-pattern
#class10
A (3)
B (4)
C (5)
D (10)
Explanation opens after your attempt
Step 1
Concept
Each next term is (5) less than the previous term. Its common difference will be (-5).
Step 2
Why this answer is correct
The correct answer is C. (5). Each next term is (5) less than the previous term. Its common difference will be (-5).
Step 3
Exam Tip
हर अगला पद पिछले पद से (5) कम है। इसका सार्व अंतर (-5) होगा।
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समांतर श्रेढ़ी \(44,40,36,32,\ldots\) का सार्व अंतर क्या है?
What is the common difference of \(44,40,36,32,\ldots\)?
#arithmetic-progression
#decreasing-ap
#class10
A (4)
B (-4)
C (8)
D (-8)
Explanation opens after your attempt
Step 1
Concept
The difference of consecutive terms is (40-44=-4). Do not write (d) as positive in a decreasing sequence.
Step 2
Why this answer is correct
The correct answer is B. (-4). The difference of consecutive terms is (40-44=-4). Do not write (d) as positive in a decreasing sequence.
Step 3
Exam Tip
लगातार पदों का अंतर (40-44=-4) है। घटते अनुक्रम में (d) को धनात्मक न लिखें।
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अनुक्रम \(9,7,5,3,\ldots\) में तीसरा पद क्या है?
What is the third term in the sequence \(9,7,5,3,\ldots\)?
#ap
#term position
#decreasing sequence
#class ten
A (9)
B (7)
C (3)
D (5)
Explanation opens after your attempt
Step 1
Concept
The terms are (9,7,5,3), so the third term is (5). Do not rush while counting term positions.
Step 2
Why this answer is correct
The correct answer is D. (5). The terms are (9,7,5,3), so the third term is (5). Do not rush while counting term positions.
Step 3
Exam Tip
पद क्रम से (9,7,5,3) हैं इसलिए तीसरा पद (5) है। पद संख्या गिनने में जल्दबाजी न करें।
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अनुक्रम \(50,45,40,35,\ldots\) में प्रत्येक पद पिछले पद से कितना कम है?
In the sequence \(50,45,40,35,\ldots\), how much less is each term than the previous term?
#arithmetic-progression
#decreasing-pattern
#class10
A (3)
B (4)
C (5)
D (10)
Explanation opens after your attempt
Step 1
Concept
Each next term is (5) less than the previous term. Its common difference will be (-5).
Step 2
Why this answer is correct
The correct answer is C. (5). Each next term is (5) less than the previous term. Its common difference will be (-5).
Step 3
Exam Tip
हर अगला पद पिछले पद से (5) कम है। इसका सार्व अंतर (-5) होगा।
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समांतर श्रेढ़ी \(25,20,15,10,\ldots\) में सार्व अंतर क्या है?
What is the common difference in the arithmetic progression \(25,20,15,10,\ldots\)?
#arithmetic-progression
#decreasing-ap
#class10
A (5)
B (-5)
C (10)
D (-10)
Explanation opens after your attempt
Step 1
Concept
Here (20-25=-5). It is important to take care of the sign in the common difference.
Step 2
Why this answer is correct
The correct answer is B. (-5). Here (20-25=-5). It is important to take care of the sign in the common difference.
Step 3
Exam Tip
यहाँ (20-25=-5) है। सार्व अंतर में चिन्ह का ध्यान रखना जरूरी है।
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धातु क धातु ख को और धातु ख धातु ग को उनके लवणों से हटाती है। क्रियाशीलता का सही घटता क्रम क्या है?
Metal A displaces metal B and metal B displaces metal C from their salts. What is the correct decreasing order of reactivity?
#science
#class10
#expert
#reactivity-order
#displacement
A क फिर ख फिर ग / A then B then C
B ग फिर ख फिर क / C then B then A
C ख फिर क फिर ग / B then A then C
D क फिर ग फिर ख / A then C then B
Explanation opens after your attempt
Correct Answer
A. क फिर ख फिर ग / A then B then C
Step 1
Concept
A metal that displaces another is more reactive.
Step 2
Why this answer is correct
A is more reactive than B and B is more reactive than C.
Step 3
Exam Tip
Therefore decreasing order is A then B then C. चरण 1: जो धातु दूसरी को हटाती है वह अधिक क्रियाशील होती है। चरण 2: क ख से अधिक और ख ग से अधिक है। चरण 3: इसलिए घटता क्रम क फिर ख फिर ग होगा।
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