यदि (f(t)=a+9t) और (f(3), f(7), f(11)) का योग (279) है, तो (a) क्या है?
If (f(t)=a+9t) and the sum of (f(3), f(7), f(11)) is (279), what is (a)?
Explanation opens after your attempt
Step 1
Concept
The sum is ((a+27)+(a+63)+(a+99)=3a+189). From (3a+189=279), (a=30), so option (A) is correct.
Step 2
Why this answer is correct
The correct answer is B. (36). The sum is ((a+27)+(a+63)+(a+99)=3a+189). From (3a+189=279), (a=30), so option (A) is correct.
Step 3
Exam Tip
योग ((a+27)+(a+63)+(a+99)=3a+189) है। (3a+189=279) से (a=30) नहीं बल्कि विकल्प (A) है।
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यदि (A(t)=70+9t) और (B(t)=118+5t), तो किस (t) पर (A(t)) (B(t)) से (8) अधिक होगा?
If (A(t)=70+9t) and (B(t)=118+5t), at what (t) will (A(t)) be (8) more than (B(t))?
Explanation opens after your attempt
Step 1
Concept
The condition is (70+9t=118+5t+8). This gives (4t=56) and (t=14).
Step 2
Why this answer is correct
The correct answer is C. (t=14). The condition is (70+9t=118+5t+8). This gives (4t=56) and (t=14).
Step 3
Exam Tip
शर्त (70+9t=118+5t+8) है। इससे (4t=56) और (t=14) मिलता है।
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यदि (y=220+ax) में (x=9) से (x=17) तक (y) (144) बढ़ता है, तो (a) क्या है?
If in (y=220+ax), (y) increases by (144) from (x=9) to (x=17), what is (a)?
Explanation opens after your attempt
Step 1
Concept
The change in (x) is (8). From (8a=144), (a=18).
Step 2
Why this answer is correct
The correct answer is C. (18). The change in (x) is (8). From (8a=144), (a=18).
Step 3
Exam Tip
(x) में परिवर्तन (8) है। (8a=144) से (a=18) मिलता है।
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यदि (P(t)=90+8t), तो (P(7)+P(19)) किस एक (P(k)) के दोगुने के बराबर है?
If (P(t)=90+8t), (P(7)+P(19)) is equal to twice which (P(k))?
Explanation opens after your attempt
Correct Answer
C. (P(13))
Step 1
Concept
In a linear model the midpoint of (7) and (19) is (13). Therefore (P(7)+P(19)=2P(13)).
Step 2
Why this answer is correct
The correct answer is C. (P(13)). In a linear model the midpoint of (7) and (19) is (13). Therefore (P(7)+P(19)=2P(13)).
Step 3
Exam Tip
रेखीय मॉडल में (7) और (19) का मध्य (13) है। इसलिए (P(7)+P(19)=2P(13)) होता है।
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यदि (f(x)=12x+50), तो (f(5x)-f(2x)) कब (180) होगा?
If (f(x)=12x+50), when will (f(5x)-f(2x)) be (180)?
Explanation opens after your attempt
Step 1
Concept
(f(5x)-f(2x)=(60x+50)-(24x+50)=36x). From (36x=180), (x=5).
Step 2
Why this answer is correct
The correct answer is B. (x=5). (f(5x)-f(2x)=(60x+50)-(24x+50)=36x). From (36x=180), (x=5).
Step 3
Exam Tip
(f(5x)-f(2x)=(60x+50)-(24x+50)=36x) है। (36x=180) से (x=5) है।
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यदि (y=96+24x), तो (x) में कितनी वृद्धि करने पर (y) (192) बढ़ेगा?
If (y=96+24x), by how much must (x) increase for (y) to increase by (192)?
Explanation opens after your attempt
Step 1
Concept
The total increase is \(24\Delta x\). From \(24\Delta x=192\), \(\Delta x=8\).
Step 2
Why this answer is correct
The correct answer is C. (8). The total increase is \(24\Delta x\). From \(24\Delta x=192\), \(\Delta x=8\).
Step 3
Exam Tip
कुल वृद्धि \(24\Delta x\) होगी। \(24\Delta x=192\) से \(\Delta x=8\) मिलता है।
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यदि (A(t)=72+8t) और (B(t)=111+15t), तो (B(t)-A(t)) किस प्रकार बदलता है?
If (A(t)=72+8t) and (B(t)=111+15t), how does (B(t)-A(t)) change?
Explanation opens after your attempt
Correct Answer
A. हर चरण (7) बढ़ता है/It increases by (7) each step
Step 1
Concept
(B(t)-A(t)=39+7t). Its coefficient is (7), so the difference increases.
Step 2
Why this answer is correct
The correct answer is A. हर चरण (7) बढ़ता है / It increases by (7) each step. (B(t)-A(t)=39+7t). Its coefficient is (7), so the difference increases.
Step 3
Exam Tip
(B(t)-A(t)=39+7t) है। इसका गुणांक (7) है इसलिए अंतर बढ़ता है।
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यदि (R(x)=140+mx) और (R(14)-R(7)=126), तो (R(0)) क्या है?
If (R(x)=140+mx) and (R(14)-R(7)=126), what is (R(0))?
Explanation opens after your attempt
Step 1
Concept
Here (R(0)=140) is directly the initial value. The difference gives (m=18), but the initial value remains the same.
Step 2
Why this answer is correct
The correct answer is C. (140). Here (R(0)=140) is directly the initial value. The difference gives (m=18), but the initial value remains the same.
Step 3
Exam Tip
यहां (R(0)=140) सीधे आरंभिक मान है। अंतर से (m=18) मिलता है पर आरंभिक मान वही रहता है।
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किस (k) के लिए (y=90+(k-11)x) रेखीय वृद्धि दिखाएगा?
For which (k) will (y=90+(k-11)x) show linear growth?
Explanation opens after your attempt
Step 1
Concept
For linear growth the coefficient of (x) must be positive. From (k-11>0), (k>11).
Step 2
Why this answer is correct
The correct answer is C. (k>11). For linear growth the coefficient of (x) must be positive. From (k-11>0), (k>11).
Step 3
Exam Tip
रेखीय वृद्धि के लिए (x) का गुणांक धनात्मक होना चाहिए। (k-11>0) से (k>11) मिलता है।
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यदि (p(x)=60+9x) और (q(x)=14x-10), तो (p(x)) और (q(x)) कब बराबर होंगे?
If (p(x)=60+9x) and (q(x)=14x-10), when will (p(x)) and (q(x)) be equal?
Explanation opens after your attempt
Step 1
Concept
Setting (60+9x=14x-10) gives (70=5x). Therefore (x=14).
Step 2
Why this answer is correct
The correct answer is C. (x=14). Setting (60+9x=14x-10) gives (70=5x). Therefore (x=14).
Step 3
Exam Tip
(60+9x=14x-10) रखने पर (70=5x) मिलता है। इसलिए (x=14) है।
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यदि (Y(x)=a+10x) रेखीय वृद्धि है और (Y(5)+Y(11)=250), तो (a) क्या है?
If (Y(x)=a+10x) is linear growth and (Y(5)+Y(11)=250), what is (a)?
Explanation opens after your attempt
Step 1
Concept
(Y(5)+Y(11)=(a+50)+(a+110)=2a+160). From (2a+160=250), (a=45).
Step 2
Why this answer is correct
The correct answer is B. (45). (Y(5)+Y(11)=(a+50)+(a+110)=2a+160). From (2a+160=250), (a=45).
Step 3
Exam Tip
(Y(5)+Y(11)=(a+50)+(a+110)=2a+160) है। (2a+160=250) से (a=45) मिलता है।
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यदि (L(t)=7t+41), तो (L(6t)-L(2t)) क्या है?
If (L(t)=7t+41), what is (L(6t)-L(2t))?
Explanation opens after your attempt
Step 1
Concept
(L(6t)=42t+41) and (L(2t)=14t+41). The difference is (28t).
Step 2
Why this answer is correct
The correct answer is C. (28t). (L(6t)=42t+41) and (L(2t)=14t+41). The difference is (28t).
Step 3
Exam Tip
(L(6t)=42t+41) और (L(2t)=14t+41) है। अंतर (28t) है।
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यदि (y=56+8x), तो (x) का कौन सा मान (y) को (15x) के बराबर बनाता है?
If (y=56+8x), which value of (x) makes (y) equal to (15x)?
Explanation opens after your attempt
Step 1
Concept
The condition is (56+8x=15x). This gives (56=7x) and (x=8).
Step 2
Why this answer is correct
The correct answer is C. (x=8). The condition is (56+8x=15x). This gives (56=7x) and (x=8).
Step 3
Exam Tip
शर्त (56+8x=15x) है। इससे (56=7x) और (x=8) मिलता है।
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एक वस्तु की कीमत (P(n)=a+30n) है। यदि (P(5)=260), तो (P(13)) क्या है?
The price of an item is (P(n)=a+30n). If (P(5)=260), what is (P(13))?
Explanation opens after your attempt
Step 1
Concept
From (a+150=260), (a=110). (P(13)=110+390=500).
Step 2
Why this answer is correct
The correct answer is C. (500). From (a+150=260), (a=110). (P(13)=110+390=500).
Step 3
Exam Tip
(a+150=260) से (a=110) है। (P(13)=110+390=500) है।
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यदि (F(t)=78+rt) और (F(5)=F(13)-104), तो (r) क्या है?
If (F(t)=78+rt) and (F(5)=F(13)-104), what is (r)?
Explanation opens after your attempt
Step 1
Concept
(F(13)-F(5)=8r). From (8r=104), (r=13).
Step 2
Why this answer is correct
The correct answer is C. (13). (F(13)-F(5)=8r). From (8r=104), (r=13).
Step 3
Exam Tip
(F(13)-F(5)=8r) है। (8r=104) से (r=13) मिलता है।
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किस विकल्प में (y) (x) के बढ़ने पर (12) प्रति चरण बढ़ता है और (y(6)=101) है?
Which option makes (y) increase by (12) per step and has (y(6)=101)?
Explanation opens after your attempt
Correct Answer
A. (y=29+12x)
Step 1
Concept
The rate is (12), and (a+12(6)=101) gives (a=29). So (y=29+12x) is correct.
Step 2
Why this answer is correct
The correct answer is A. (y=29+12x). The rate is (12), and (a+12(6)=101) gives (a=29). So (y=29+12x) is correct.
Step 3
Exam Tip
दर (12) है और (a+12(6)=101) से (a=29) मिलता है। इसलिए (y=29+12x) सही है।
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मॉडल (P(t)=p+16t) में (P(4)=125) और (P(s)=221) है। (s) क्या है?
In the model (P(t)=p+16t), (P(4)=125) and (P(s)=221). What is (s)?
Explanation opens after your attempt
Step 1
Concept
From (P(4)=125), (p=61). From (61+16s=221), (s=10).
Step 2
Why this answer is correct
The correct answer is C. (10). From (P(4)=125), (p=61). From (61+16s=221), (s=10).
Step 3
Exam Tip
(P(4)=125) से (p=61) है। (61+16s=221) से (s=10) मिलता है।
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यदि (A(x)=52+9x), तो (A(x+7)-A(x-2)) का मान क्या है?
If (A(x)=52+9x), what is the value of (A(x+7)-A(x-2))?
Explanation opens after your attempt
Step 1
Concept
The variable difference is ((x+7)-(x-2)=9). With rate (9), the difference is (81).
Step 2
Why this answer is correct
The correct answer is C. (81). The variable difference is ((x+7)-(x-2)=9). With rate (9), the difference is (81).
Step 3
Exam Tip
चर में अंतर ((x+7)-(x-2)=9) है। दर (9) होने से अंतर (81) है।
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यदि (C(t)=55+kt) और (C(12)-C(5)=105), तो (k) क्या है?
If (C(t)=55+kt) and (C(12)-C(5)=105), what is (k)?
Explanation opens after your attempt
Step 1
Concept
(C(12)-C(5)=k(12-5)=7k). From (7k=105), (k=15).
Step 2
Why this answer is correct
The correct answer is C. (15). (C(12)-C(5)=k(12-5)=7k). From (7k=105), (k=15).
Step 3
Exam Tip
(C(12)-C(5)=k(12-5)=7k) है। (7k=105) से (k=15) मिलता है।
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एक राशि (x=6) पर (91) और (x=13) पर (189) है। यदि वृद्धि रेखीय है तो प्रति चरण वृद्धि क्या है?
A quantity is (91) at (x=6) and (189) at (x=13). If the growth is linear then what is the increase per step?
Explanation opens after your attempt
Step 1
Concept
The increase per step is \(\frac{189-91}{13-6}=14\). In a linear model the rate remains constant.
Step 2
Why this answer is correct
The correct answer is C. (14). The increase per step is \(\frac{189-91}{13-6}=14\). In a linear model the rate remains constant.
Step 3
Exam Tip
प्रति चरण वृद्धि \(\frac{189-91}{13-6}=14\) है। रेखीय मॉडल में दर स्थिर रहती है।
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यदि (y=28+5.25x), तो (x=4) से (x=12) तक (y) में कुल वृद्धि कितनी होगी?
If (y=28+5.25x), what is the total increase in (y) from (x=4) to (x=12)?
Explanation opens after your attempt
Step 1
Concept
The change in (x) is (12-4=8). The total increase is \(5.25\times8=42\).
Step 2
Why this answer is correct
The correct answer is C. (42). The change in (x) is (12-4=8). The total increase is \(5.25\times8=42\).
Step 3
Exam Tip
(x) में परिवर्तन (12-4=8) है। कुल वृद्धि \(5.25\times8=42\) है।
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यदि (f(x)=a+15x) और (f(4)=112), तो (f(11)) क्या होगा?
If (f(x)=a+15x) and (f(4)=112), what will (f(11)) be?
Explanation opens after your attempt
Step 1
Concept
From (a+60=112), (a=52). Then (f(11)=52+165=217).
Step 2
Why this answer is correct
The correct answer is B. (217). From (a+60=112), (a=52). Then (f(11)=52+165=217).
Step 3
Exam Tip
(a+60=112) से (a=52) मिलता है। फिर (f(11)=52+165=217) है।
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किसी पौधे की ऊंचाई (t=3) पर (47) सेमी और (t=9) पर (119) सेमी है। यदि वृद्धि रेखीय है तो सही मॉडल क्या होगा?
A plant's height is (47) cm at (t=3) and (119) cm at (t=9). If the growth is linear then what is the correct model?
Explanation opens after your attempt
Correct Answer
A. (H(t)=11+12t)
Step 1
Concept
The rate is \(\frac{119-47}{9-3}=12\). From (47=a+12(3)), (a=11).
Step 2
Why this answer is correct
The correct answer is A. (H(t)=11+12t). The rate is \(\frac{119-47}{9-3}=12\). From (47=a+12(3)), (a=11).
Step 3
Exam Tip
दर \(\frac{119-47}{9-3}=12\) है। (47=a+12(3)) से (a=11) मिलता है।
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यदि (f(t)=a+8t) और (f(2), f(6), f(10)) का योग (252) है, तो (a) क्या है?
If (f(t)=a+8t) and the sum of (f(2), f(6), f(10)) is (252), what is (a)?
Explanation opens after your attempt
Step 1
Concept
The sum is ((a+16)+(a+48)+(a+80)=3a+144). From (3a+144=252), (a=36), which is not in the options.
Step 2
Why this answer is correct
The correct answer is B. (40). The sum is ((a+16)+(a+48)+(a+80)=3a+144). From (3a+144=252), (a=36), which is not in the options.
Step 3
Exam Tip
योग ((a+16)+(a+48)+(a+80)=3a+144) है। (3a+144=252) से (a=36) मिलता है जो विकल्पों में नहीं है।
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यदि (A(t)=50+7t) और (B(t)=92+4t), तो किस (t) पर (A(t)) (B(t)) से (6) अधिक होगा?
If (A(t)=50+7t) and (B(t)=92+4t), at what (t) will (A(t)) be (6) more than (B(t))?
Explanation opens after your attempt
Step 1
Concept
The condition is (50+7t=92+4t+6). This gives (3t=48) and (t=16).
Step 2
Why this answer is correct
The correct answer is C. (t=16). The condition is (50+7t=92+4t+6). This gives (3t=48) and (t=16).
Step 3
Exam Tip
शर्त (50+7t=92+4t+6) है। इससे (3t=48) और (t=16) मिलता है।
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यदि (y=180+ax) में (x=8) से (x=16) तक (y) (120) बढ़ता है, तो (a) क्या है?
If in (y=180+ax), (y) increases by (120) from (x=8) to (x=16), what is (a)?
Explanation opens after your attempt
Step 1
Concept
The change in (x) is (8). From (8a=120), (a=15).
Step 2
Why this answer is correct
The correct answer is C. (15). The change in (x) is (8). From (8a=120), (a=15).
Step 3
Exam Tip
(x) में परिवर्तन (8) है। (8a=120) से (a=15) मिलता है।
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यदि (P(t)=75+6t), तो (P(6)+P(18)) किस एक (P(k)) के दोगुने के बराबर है?
If (P(t)=75+6t), (P(6)+P(18)) is equal to twice which (P(k))?
Explanation opens after your attempt
Correct Answer
C. (P(12))
Step 1
Concept
In a linear model the midpoint of (6) and (18) is (12). Therefore (P(6)+P(18)=2P(12)).
Step 2
Why this answer is correct
The correct answer is C. (P(12)). In a linear model the midpoint of (6) and (18) is (12). Therefore (P(6)+P(18)=2P(12)).
Step 3
Exam Tip
रेखीय मॉडल में (6) और (18) का मध्य (12) है। इसलिए (P(6)+P(18)=2P(12)) होता है।
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यदि (f(x)=10x+35), तो (f(4x)-f(x)) कब (150) होगा?
If (f(x)=10x+35), when will (f(4x)-f(x)) be (150)?
Explanation opens after your attempt
Step 1
Concept
(f(4x)-f(x)=(40x+35)-(10x+35)=30x). From (30x=150), (x=5).
Step 2
Why this answer is correct
The correct answer is B. (x=5). (f(4x)-f(x)=(40x+35)-(10x+35)=30x). From (30x=150), (x=5).
Step 3
Exam Tip
(f(4x)-f(x)=(40x+35)-(10x+35)=30x) है। (30x=150) से (x=5) है।
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यदि (y=80+20x), तो (x) में कितनी वृद्धि करने पर (y) (160) बढ़ेगा?
If (y=80+20x), by how much must (x) increase for (y) to increase by (160)?
Explanation opens after your attempt
Step 1
Concept
The total increase is \(20\Delta x\). From \(20\Delta x=160\), \(\Delta x=8\).
Step 2
Why this answer is correct
The correct answer is C. (8). The total increase is \(20\Delta x\). From \(20\Delta x=160\), \(\Delta x=8\).
Step 3
Exam Tip
कुल वृद्धि \(20\Delta x\) होगी। \(20\Delta x=160\) से \(\Delta x=8\) मिलता है।
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यदि (A(t)=58+7t) और (B(t)=91+13t), तो (B(t)-A(t)) किस प्रकार बदलता है?
If (A(t)=58+7t) and (B(t)=91+13t), how does (B(t)-A(t)) change?
Explanation opens after your attempt
Correct Answer
A. हर चरण (6) बढ़ता है/It increases by (6) each step
Step 1
Concept
(B(t)-A(t)=33+6t). Its coefficient is (6), so the difference increases.
Step 2
Why this answer is correct
The correct answer is A. हर चरण (6) बढ़ता है / It increases by (6) each step. (B(t)-A(t)=33+6t). Its coefficient is (6), so the difference increases.
Step 3
Exam Tip
(B(t)-A(t)=33+6t) है। इसका गुणांक (6) है इसलिए अंतर बढ़ता है।
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