(100) और (500) के बीच (11) से विभाज्य सभी संख्याओं का योग ज्ञात कीजिए।
Find the sum of all numbers divisible by (11) between (100) and (500).
#multiples
#between numbers
#ap sum
A (10835)
B (10860)
C (10920)
D (10890)
Explanation opens after your attempt
Correct Answer
D. (10890)
Step 1
Concept
The numbers are \(110,121,\ldots,495\), and their sum is (10890). When between is written, check carefully whether endpoints are included.
Step 2
Why this answer is correct
The correct answer is D. (10890). The numbers are \(110,121,\ldots,495\), and their sum is (10890). When between is written, check carefully whether endpoints are included.
Step 3
Exam Tip
संख्याएँ \(110,121,\ldots,495\) हैं और उनका योग (10890) है। between लिखे होने पर सिरों को शामिल करना है या नहीं यह ध्यान से देखें।
Login to save your score, XP, coins and progress. Login
(100) से (200) के बीच (5) से विभाज्य सभी संख्याओं का योग ज्ञात कीजिए।
Find the sum of all numbers divisible by (5) between (100) and (200).
#divisibility
#between numbers
#ap sum
A (3150)
B (3200)
C (3250)
D (3300)
Explanation opens after your attempt
Step 1
Concept
The numbers are \(105,110,\ldots,195\), and the sum of (19) terms is (2850). The word between often excludes endpoints.
Step 2
Why this answer is correct
The correct answer is A. (3150). The numbers are \(105,110,\ldots,195\), and the sum of (19) terms is (2850). The word between often excludes endpoints.
Step 3
Exam Tip
संख्याएँ \(105,110,\ldots,195\) हैं और (19) पदों का योग (2850) है। बीच का अर्थ अक्सर सिरों को शामिल नहीं करता।
Login to save your score, XP, coins and progress. Login
यदि संख्या रेखा पर \(A=\sqrt{14}\) और (B=4) हैं, तो (A) और (B) के बीच कौन सा मान स्थित है?
If \(A=\sqrt{14}\) and (B=4) on the number line, which value lies between (A) and (B)?
#number-line
#between-numbers
#square-root
A (3.8)
B (3.6)
C (4.2)
D (3.5)
Explanation opens after your attempt
Step 1
Concept
\( \sqrt{14}\approx3.742\), so (3.8) lies between it and (4). Decimal estimation is important for nearby square roots.
Step 2
Why this answer is correct
The correct answer is A. (3.8). \( \sqrt{14}\approx3.742\), so (3.8) lies between it and (4). Decimal estimation is important for nearby square roots.
Step 3
Exam Tip
\( \sqrt{14}\approx3.742\), इसलिए (3.8) इसके और (4) के बीच है। निकट वर्गमूलों में दशमलव अनुमान जरूरी है।
Login to save your score, XP, coins and progress. Login
संख्या रेखा पर \( \sqrt{1.44} \) और \( \sqrt{1.69} \) के बीच कौन सा मान है?
Which value lies between \( \sqrt{1.44} \) and \( \sqrt{1.69} \) on the number line?
#number-line
#decimal-roots
#between-numbers
A (1.25)
B (1.1)
C (1.4)
D (0.9)
Explanation opens after your attempt
Step 1
Concept
\( \sqrt{1.44}=1.2\) and \( \sqrt{1.69}=1.3\), so (1.25) lies between them. Knowing decimal squares is useful.
Step 2
Why this answer is correct
The correct answer is A. (1.25). \( \sqrt{1.44}=1.2\) and \( \sqrt{1.69}=1.3\), so (1.25) lies between them. Knowing decimal squares is useful.
Step 3
Exam Tip
\( \sqrt{1.44}=1.2\) और \( \sqrt{1.69}=1.3\), इसलिए (1.25) बीच में है। दशमलव वर्गों को याद रखना उपयोगी है।
Login to save your score, XP, coins and progress. Login
संख्या रेखा पर \( \frac{3}{7} \) और \( \frac{4}{7} \) के बीच कौन सा मान है?
Which value lies between \( \frac{3}{7} \) and \( \frac{4}{7} \) on the number line?
#number-line
#fraction-comparison
#between-numbers
A \( \frac{1}{2}\)
B \( \frac{2}{7}\)
C \( \frac{5}{7}\)
D \( \frac{6}{7}\)
Explanation opens after your attempt
Correct Answer
A. \( \frac{1}{2}\)
Step 1
Concept
\( \frac{3}{7}\approx0.428\), \( \frac{1}{2}=0.5\), and \( \frac{4}{7}\approx0.571\). Use decimals or cross multiplication to compare fractions.
Step 2
Why this answer is correct
The correct answer is A. \( \frac{1}{2}\). \( \frac{3}{7}\approx0.428\), \( \frac{1}{2}=0.5\), and \( \frac{4}{7}\approx0.571\). Use decimals or cross multiplication to compare fractions.
Step 3
Exam Tip
\( \frac{3}{7}\approx0.428\), \( \frac{1}{2}=0.5\), और \( \frac{4}{7}\approx0.571\)। भिन्नों की तुलना में दशमलव या क्रॉस गुणन उपयोग करें।
Login to save your score, XP, coins and progress. Login
कौन सी संख्या \( \sqrt{8} \) और (3) के बीच संख्या रेखा पर स्थित है?
Which number lies between \( \sqrt{8} \) and (3) on the number line?
#number-line
#between-numbers
#square-roots
A (2.9)
B (2.7)
C (3.1)
D (2)
Explanation opens after your attempt
Step 1
Concept
\( \sqrt{8}\approx2.828\), so (2.9) lies between it and (3). First estimate the irrational number.
Step 2
Why this answer is correct
The correct answer is A. (2.9). \( \sqrt{8}\approx2.828\), so (2.9) lies between it and (3). First estimate the irrational number.
Step 3
Exam Tip
\( \sqrt{8}\approx2.828\), इसलिए (2.9) उसके और (3) के बीच है। पहले अपरिमेय संख्या का अनुमान करें।
Login to save your score, XP, coins and progress. Login
संख्या रेखा पर \( \frac{2}{5}\) और \(\frac{3}{5}\) के बीच कौन-सी संख्या है?
Which number lies between \(\frac{2}{5}\) and \(\frac{3}{5}\) on the number line?
#fractions
#between-numbers
#number-line
A \(\frac{1}{2}\)
B \(\frac{1}{5}\)
C \(\frac{4}{5}\)
D (1)
Explanation opens after your attempt
Correct Answer
A. \(\frac{1}{2}\)
Step 1
Concept
\(\frac{2}{5}=0.4\), \(\frac{1}{2}=0.5\), and \(\frac{3}{5}=0.6\), so \(\frac{1}{2}\) lies between them. Decimal form helps in comparison.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{1}{2}\). \(\frac{2}{5}=0.4\), \(\frac{1}{2}=0.5\), and \(\frac{3}{5}=0.6\), so \(\frac{1}{2}\) lies between them. Decimal form helps in comparison.
Step 3
Exam Tip
\(\frac{2}{5}=0.4\), \(\frac{1}{2}=0.5\), और \(\frac{3}{5}=0.6\), इसलिए \(\frac{1}{2}\) बीच में है। तुलना के लिए दशमलव रूप उपयोगी है।
Login to save your score, XP, coins and progress. Login
संख्या रेखा पर (2) और (3) के बीच कौन-सी संख्या आती है?
Which number lies between (2) and (3) on the number line?
#between-numbers
#decimal
#number-line
A (2.5)
B (3.5)
C (1.5)
D (4.5)
Explanation opens after your attempt
Step 1
Concept
(2.5) lies between (2) and (3). Identify a middle number by comparing it with both endpoints.
Step 2
Why this answer is correct
The correct answer is A. (2.5). (2.5) lies between (2) and (3). Identify a middle number by comparing it with both endpoints.
Step 3
Exam Tip
(2.5), (2) और (3) के बीच आता है। बीच की संख्या दोनों सिरों से छोटी-बड़ी तुलना करके पहचानें।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प (10) और (11) के बीच की अपरिमेय संख्या है?
Which option is an irrational number between (10) and (11)?
#number-line
#irrational-number
#between-numbers
A \(\sqrt{115}\)
B \(\sqrt{100}\)
C \(\sqrt{121}\)
D \(\frac{21}{2}\)
Explanation opens after your attempt
Correct Answer
A. \(\sqrt{115}\)
Step 1
Concept
Since (100<115<121), \(\sqrt{115}\) lies between (10) and (11). (115) is not a perfect square.
Step 2
Why this answer is correct
The correct answer is A. \(\sqrt{115}\). Since (100<115<121), \(\sqrt{115}\) lies between (10) and (11). (115) is not a perfect square.
Step 3
Exam Tip
क्योंकि (100<115<121) इसलिए \(\sqrt{115}\) (10) और (11) के बीच है। (115) पूर्ण वर्ग नहीं है।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प (6) और (7) के बीच की परिमेय संख्या है?
Which option is a rational number between (6) and (7)?
#rational-number
#number-line
#between-numbers
A \(\frac{25}{4}\)
B \(\sqrt{41}\)
C \(\sqrt{45}\)
D \(\pi+3\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{25}{4}\)
Step 1
Concept
\(\frac{25}{4}=6.25\), which lies between (6) and (7). Fraction form shows rationality.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{25}{4}\). \(\frac{25}{4}=6.25\), which lies between (6) and (7). Fraction form shows rationality.
Step 3
Exam Tip
\(\frac{25}{4}=6.25\) है जो (6) और (7) के बीच है। भिन्न रूप परिमेयता बताता है।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प (9) और (10) के बीच की अपरिमेय संख्या है?
Which option is an irrational number between (9) and (10)?
#number-line
#irrational-number
#between-numbers
A \(\sqrt{85}\)
B \(\sqrt{81}\)
C \(\sqrt{100}\)
D \(\frac{19}{2}\)
Explanation opens after your attempt
Correct Answer
A. \(\sqrt{85}\)
Step 1
Concept
Since (81<85<100), \(\sqrt{85}\) lies between (9) and (10). (85) is not a perfect square.
Step 2
Why this answer is correct
The correct answer is A. \(\sqrt{85}\). Since (81<85<100), \(\sqrt{85}\) lies between (9) and (10). (85) is not a perfect square.
Step 3
Exam Tip
क्योंकि (81<85<100) इसलिए \(\sqrt{85}\) (9) और (10) के बीच है। (85) पूर्ण वर्ग नहीं है।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प (8) और (9) के बीच की अपरिमेय संख्या है?
Which option is an irrational number between (8) and (9)?
#number-line
#irrational-number
#between-numbers
A \(\sqrt{70}\)
B \(\sqrt{64}\)
C \(\sqrt{81}\)
D \(\frac{17}{2}\)
Explanation opens after your attempt
Correct Answer
A. \(\sqrt{70}\)
Step 1
Concept
Since (64<70<81), \(\sqrt{70}\) lies between (8) and (9). (70) is not a perfect square so it is irrational.
Step 2
Why this answer is correct
The correct answer is A. \(\sqrt{70}\). Since (64<70<81), \(\sqrt{70}\) lies between (8) and (9). (70) is not a perfect square so it is irrational.
Step 3
Exam Tip
क्योंकि (64<70<81) इसलिए \(\sqrt{70}\) (8) और (9) के बीच है। (70) पूर्ण वर्ग नहीं है इसलिए यह अपरिमेय है।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प (7) और (8) के बीच की परिमेय संख्या है?
Which option is a rational number between (7) and (8)?
#rational-number
#number-line
#between-numbers
A \(\frac{15}{2}\)
B \(\sqrt{53}\)
C \(\sqrt{60}\)
D \(\pi+4\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{15}{2}\)
Step 1
Concept
\(\frac{15}{2}=7.5\), which lies between (7) and (8). Fraction form shows rationality.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{15}{2}\). \(\frac{15}{2}=7.5\), which lies between (7) and (8). Fraction form shows rationality.
Step 3
Exam Tip
\(\frac{15}{2}=7.5\) है जो (7) और (8) के बीच है। भिन्न रूप परिमेयता बताता है।
Login to save your score, XP, coins and progress. Login
कौन सी संख्या (3) और (4) के बीच है और अपरिमेय है?
Which number lies between (3) and (4) and is irrational?
#number-line
#irrational-number
#between-numbers
A \(\sqrt{13}\)
B \(\sqrt{9}\)
C \(\sqrt{16}\)
D \(\frac{7}{2}\)
Explanation opens after your attempt
Correct Answer
A. \(\sqrt{13}\)
Step 1
Concept
Since (9<13<16), \(\sqrt{13}\) lies between (3) and (4). (13) is not a perfect square.
Step 2
Why this answer is correct
The correct answer is A. \(\sqrt{13}\). Since (9<13<16), \(\sqrt{13}\) lies between (3) and (4). (13) is not a perfect square.
Step 3
Exam Tip
क्योंकि (9<13<16) इसलिए \(\sqrt{13}\) (3) और (4) के बीच है। (13) पूर्ण वर्ग नहीं है।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प (6) और (7) के बीच की अपरिमेय संख्या है?
Which option is an irrational number between (6) and (7)?
#number-line
#between-numbers
#irrational
A \(\sqrt{43}\)
B \(\sqrt{36}\)
C \(\sqrt{49}\)
D \(\frac{13}{2}\)
Explanation opens after your attempt
Correct Answer
A. \(\sqrt{43}\)
Step 1
Concept
Since (36<43<49), \(\sqrt{43}\) lies between (6) and (7). It is also irrational.
Step 2
Why this answer is correct
The correct answer is A. \(\sqrt{43}\). Since (36<43<49), \(\sqrt{43}\) lies between (6) and (7). It is also irrational.
Step 3
Exam Tip
क्योंकि (36<43<49) इसलिए \(\sqrt{43}\) (6) और (7) के बीच है। यह अपरिमेय भी है।
Login to save your score, XP, coins and progress. Login
कौन सी संख्या (1) और (2) के बीच की परिमेय संख्या है?
Which number is a rational number between (1) and (2)?
#rational-number
#number-line
#between-numbers
A \(\frac{7}{5}\)
B \(\sqrt{2}\)
C \(\sqrt{3}\)
D \(\pi\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{7}{5}\)
Step 1
Concept
\(\frac{7}{5}=1.4\), which lies between (1) and (2). Being a fraction shows it is rational.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{7}{5}\). \(\frac{7}{5}=1.4\), which lies between (1) and (2). Being a fraction shows it is rational.
Step 3
Exam Tip
\(\frac{7}{5}=1.4\) है जो (1) और (2) के बीच है। भिन्न के रूप में होने से यह परिमेय है।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प (5) और (6) के बीच की अपरिमेय संख्या है?
Which option is an irrational number between (5) and (6)?
#number-line
#between-numbers
#irrational
A \(\sqrt{30}\)
B \(\sqrt{25}\)
C \(\sqrt{36}\)
D \(\frac{11}{2}\)
Explanation opens after your attempt
Correct Answer
A. \(\sqrt{30}\)
Step 1
Concept
Since (25<30<36), \(\sqrt{30}\) lies between (5) and (6). (30) is not a perfect square so it is irrational.
Step 2
Why this answer is correct
The correct answer is A. \(\sqrt{30}\). Since (25<30<36), \(\sqrt{30}\) lies between (5) and (6). (30) is not a perfect square so it is irrational.
Step 3
Exam Tip
क्योंकि (25<30<36) इसलिए \(\sqrt{30}\) (5) और (6) के बीच है। (30) पूर्ण वर्ग नहीं है इसलिए यह अपरिमेय है।
Login to save your score, XP, coins and progress. Login
कौन सी संख्या (2) और (3) के बीच की परिमेय संख्या है?
Which number is a rational number between (2) and (3)?
#rational-number
#number-line
#between-numbers
A \(\frac{5}{2}\)
B \(\sqrt{5}\)
C \(\sqrt{6}\)
D \(\pi\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{5}{2}\)
Step 1
Concept
\(\frac{5}{2}=2.5\), which lies between (2) and (3) and is rational. Fraction form shows rationality.
Step 2
Why this answer is correct
The correct answer is A. \(\frac{5}{2}\). \(\frac{5}{2}=2.5\), which lies between (2) and (3) and is rational. Fraction form shows rationality.
Step 3
Exam Tip
\(\frac{5}{2}=2.5\) है जो (2) और (3) के बीच है और परिमेय है। भिन्न रूप परिमेयता बताता है।
Login to save your score, XP, coins and progress. Login
कौन सा विकल्प संख्या रेखा पर (4) और (5) के बीच की अपरिमेय संख्या है?
Which option is an irrational number between (4) and (5) on the number line?
#number-line
#between-numbers
#irrational
A \(\sqrt{19}\)
B \(\sqrt{16}\)
C \(\sqrt{25}\)
D \(\frac{9}{2}\)
Explanation opens after your attempt
Correct Answer
A. \(\sqrt{19}\)
Step 1
Concept
\(\sqrt{19}\) lies between (4) and (5) because (16<19<25). It is irrational.
Step 2
Why this answer is correct
The correct answer is A. \(\sqrt{19}\). \(\sqrt{19}\) lies between (4) and (5) because (16<19<25). It is irrational.
Step 3
Exam Tip
\(\sqrt{19}\) (4) और (5) के बीच है क्योंकि (16<19<25)। यह अपरिमेय है।
Login to save your score, XP, coins and progress. Login
