jipmat 2022 Complete Paper Solution | QA
Question 1.
A sum becomes double in 10 years, then what is the annual rate of simple interest?
A sum becomes double in 10 years, then what is the annual rate of simple interest?
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Question 2.
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?
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?
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Instructions
$\begin{array}{|c|c|c|} \hline \textbf{List I (Quadratic Equation)} & \textbf{List II (Roots)} \\ \hline \text{A. } 6x^2 + x - 12 = 0 & \text{I. } (-6, 4) \\ \hline \text{B. } 8x^2 + 16x - 10 = 202 & \text{II. } (9, 36) \\ \hline \text{C. } x^2 + 45x + 324 = 0 & \text{III. } (3, -\frac{1}{2}) \\ \hline \text{D. } 2x^2 - 5x - 3 = 0 & \text{IV. } \left(-\frac{3}{2}, \frac{4}{3}\right) \\ \hline \end{array}$
$\begin{array}{|c|c|c|} \hline \textbf{List I (Quadratic Equation)} & \textbf{List II (Roots)} \\ \hline \text{A. } 6x^2 + x - 12 = 0 & \text{I. } (-6, 4) \\ \hline \text{B. } 8x^2 + 16x - 10 = 202 & \text{II. } (9, 36) \\ \hline \text{C. } x^2 + 45x + 324 = 0 & \text{III. } (3, -\frac{1}{2}) \\ \hline \text{D. } 2x^2 - 5x - 3 = 0 & \text{IV. } \left(-\frac{3}{2}, \frac{4}{3}\right) \\ \hline \end{array}$
Question 3.
Match List I with List II. Choose the correct answer from the options given below:
Match List I with List II. Choose the correct answer from the options given below:
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Question 4.
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) =
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) =
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Question 5.
If A earns $33 \frac{1}{3} \%$ more than B, then percentage B earns less than A will be:
If A earns $33 \frac{1}{3} \%$ more than B, then percentage B earns less than A will be:
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Question 6.
Which of the following trigonometric identities are true?
$\begin{aligned} & \sin ^2\left(41^{\circ}\right)+\sin ^2\left(49^{\circ}\right)=1 \\ & \sin ^2\left(60^{\circ}\right)-2 \tan \left(45^{\circ}\right)-\cos ^2\left(30^{\circ}\right)=-1 \\ & \sin ^2(\theta)+\frac{1}{1+\tan ^2(\theta)}=1 \end{aligned}$
Which of the following trigonometric identities are true?
$\begin{aligned} & \sin ^2\left(41^{\circ}\right)+\sin ^2\left(49^{\circ}\right)=1 \\ & \sin ^2\left(60^{\circ}\right)-2 \tan \left(45^{\circ}\right)-\cos ^2\left(30^{\circ}\right)=-1 \\ & \sin ^2(\theta)+\frac{1}{1+\tan ^2(\theta)}=1 \end{aligned}$
$\begin{aligned} & \sin ^2\left(41^{\circ}\right)+\sin ^2\left(49^{\circ}\right)=1 \\ & \sin ^2\left(60^{\circ}\right)-2 \tan \left(45^{\circ}\right)-\cos ^2\left(30^{\circ}\right)=-1 \\ & \sin ^2(\theta)+\frac{1}{1+\tan ^2(\theta)}=1 \end{aligned}$
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Question 7.
Which of the following is the value of $m$ for which the polynomial $x^4 + 10x^3 + 25x^2 + 15x + m$ is exactly divisible by $x+7$?
Which of the following is the value of $m$ for which the polynomial $x^4 + 10x^3 + 25x^2 + 15x + m$ is exactly divisible by $x+7$?
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Question 8.
The area of a circular playground is $22176 \ cm^2$. What is the cost of fencing this ground at the rate of ₹50 per metre?
The area of a circular playground is $22176 \ cm^2$. What is the cost of fencing this ground at the rate of ₹50 per metre?
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Question 9.
The sum of $n-$ terms of sequence $\frac{1}{1 \times 2}+\frac{1}{2 \times 3}+\frac{1}{3 \times 4} \ldots \ldots$. Is
The sum of $n-$ terms of sequence $\frac{1}{1 \times 2}+\frac{1}{2 \times 3}+\frac{1}{3 \times 4} \ldots \ldots$. Is
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Question 10.
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?
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?
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