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JIPMAT 2022 quant Paper Solution

Question 1.

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A sum becomes double in 10 years, then what is the annual rate of simple interest?

A
8%
B
5%
C
10%
D
20%

Question 2.

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P, Q, and R invested Rs. 25,000, Rs. 50,000, and Rs. 25,000 respectively to start a business. At the end of two years, they earned a profit of Rs. 48,000. What will be Q's share?

A
24,000
B
36,000
C
12,000
D
20,000

Question 3.

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Match List I with List II. Choose the correct answer from the options given below:

A
A-I, B-III, C-IV, D-II
B
A-IV, B-I, C-II, D-III
C
A-II, B-IV, C-III, D-I
D
A-III, B-II, C-I, D-IV

Question 4.

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The population of a village is 5000. If in a year, the number of males were to increase by 5% and that of females by 3% annually, the population would grow to 5202 at the end of the year. If M is the number of males and F is the number of females in the village, then (M,F) =

A
(3000, 2000)
B
(2800, 2200)
C
(2600, 2400)
D
(2700, 2300)

Question 5.

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If A earns 3313%33 \frac{1}{3} \% more than B, then percentage B earns less than A will be:

A
66.33%
B
25%
C
65%
D
33.33%

Question 6.

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Which of the following trigonometric identities are true?sin2(41)+sin2(49)=1sin2(60)2tan(45)cos2(30)=1sin2(θ)+11+tan2(θ)=1\begin{aligned} \sin ^2\left(41^{\circ}\right)+\sin ^2\left(49^{\circ}\right)=1 \\ \sin ^2\left(60^{\circ}\right)-2 \tan \left(45^{\circ}\right)-\cos ^2\left(30^{\circ}\right)=-1 \\ \sin ^2(\theta)+\frac{1}{1+\tan ^2(\theta)}=1 \end{aligned}

A
A and B only
B
A and C only
C
B and C only
D
A, B, and C

Question 7.

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Which of the following is the value of mm for which the polynomial x4+10x3+25x2+15x+mx^4 + 10x^3 + 25x^2 + 15x + m is exactly divisible by x+7x+7?

A
-91
B
-101
C
15
D
115

Question 8.

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The area of a circular playground is 22176 cm222176 \ cm^2. What is the cost of fencing this ground at the rate of ₹50 per metre?

A
₹ 264
B
₹ 400
C
₹ 312
D
₹ 244

Question 9.

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The sum of nn- terms of sequence 11×2+12×3+13×4\frac{1}{1 \times 2}+\frac{1}{2 \times 3}+\frac{1}{3 \times 4} \ldots \ldots. Is

A
1n+1\frac{1}{n+1}
B
1n\frac{1}{n}
C
n+1n\frac{n+1}{n}
D
nn+1\frac{n}{n+1}

Question 10.

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If A can do 1/4 of a work in 3 days and B can do 1/6 of the same work in 4 days, how much will A get if both work together and are paid Rs. 180 in total?

A
36
B
60
C
108
D
120
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