JIPMAT Question Paper 2023 | JIPMAT Quants

JIPMAT Question Paper | JIPMAT Quants Question Paper

JIPMAT Question Paper Quants. Solve questions from JIPMAT 2023 Question Paper and check the solutions to get adequate practice.

JIPMAT 2023 Question Paper - Quants

If \(\sin (\theta)-\cos (\theta)=0\), the value of \(\sin ^4(\theta)+\cos ^4(\theta)\) is
1. 1
2. \(\frac{1}{2}\)
3. \(\frac{3}{4}\)
4. \(\frac{1}{4}\)
Choice B
\(\frac{1}{2}\)
JIPMAT 2023 Question Paper - Quants

\[ \sqrt{3+\sqrt{5}}= \]
1. \(\sqrt{2}+1\)
2. \(\sqrt{\frac{5}{2}} \sqrt{\frac{1}{2}}\)
3. \(\sqrt{\frac{9}{2}}-\sqrt{\frac{1}{2}}\)
4. \(\sqrt{\frac{9}{2}}-\sqrt{\frac{3}{2}}\)
Choice B
\(\sqrt{\frac{5}{2}} \sqrt{\frac{1}{2}}\)
JIPMAT 2023 Question Paper - Quants

If the pair linear equations 2x + 3y = 7 and 2px + (p – q)y = 28 has infinite number of solutions then , (p, q) =
1. (8, 4)
2. (4, - 8)
3. (3, 6)
4. (6, 3)
Choice B
(4, - 8)
JIPMAT 2023 Question Paper - Quants

Which of the following statements are True in the context of circles?
A. A tangent of a circle touches it at two points.
B. A circle can have two parallel tangents at the most.
C. There is no tangent to a circle passing through a point inside the circle.
Choose the correct answer from the options given below:
1. A and B only
2. A, B and C
3. A and C only
4. B and C Only
Choice D
B and C Only
JIPMAT 2023 Question Paper - Quants

Statement (I); 4 boys and 8 girls completed \(\frac{1}{3}\) rd of work in 5 days. After that 3 boys and 3 girls increased, and they completed \(\frac{1}{3}\) rd more work in 3 days. If the remaining work is to be completed in 2 days, then the number of girls that should be increased is 32 .
Statement (II): The ratio of time taken by A and C to do a work is \(1: 2\) respectively. B is \(166 \frac{2}{3} \%\) more efficient than C. Time taken by A to complete \(6 \%\) of work is 6 days.
Then, the time taken by B and C together to complete the whole work is \(54 \frac{6}{11}\) days.
In light of the above statements, choose the most appropriate answer from the options given below.
1. Both Statement (I) and Statement (II) are true.
2. Both Statement (I) and Statement (II) are false.
3. Statement (I) is true but Statement (II) is false.
4. Statement (I) is false but Statement (II) is true.
Choice D
Statement (I) is false but Statement (II) is true.
JIPMAT 2023 Question Paper - Quants

The radii of two cones are in the ratio 2 : 3 and their volumes in the ratio 1 : 3. Then the ratio of their heights is
1. 3:2
2. 1:2
3. 3:4
4. 2:3
Choice C
3:4
JIPMAT 2023 Question Paper - Quants

The area of the circle that can be inscribed in a square of side 6 cm is
1. \(36 \pi cm^2\)
2. \(18 \pi cm^2\)
3. \(12 \pi cm^2\)
4. \(9 \pi cm^2\)
Choice D
\(9 \pi cm^2\)
JIPMAT 2023 Question Paper - Quants

The mean of 25 observations is 36. If the mean of the first 13 observations is 32 and that of the last 13 observations is 39, then the 13th observation is
1. 16
2. 23
3. 1/21
4. 18
Choice B
23
JIPMAT 2023 Question Paper - Quants

Let \(A\) and \(B\) be two events such that \(P(A)=0.25, P(B)\) \(=0.50\) and \(P(A \cap B)=0.14\). The probability that neither A nor B occurs is
1. 0.09
2. 0.19
3. 0.39
4. 0.29
Choice C
0.39
JIPMAT 2023 Question Paper - Quants

Amicable numbers are a pair of distinct natural numbers (a, b) such that the sum of the proper divisors of a equals b and the sum of the proper divisors of b equals a. Given that (220, y) is a pair of amicable numbers, y = _________. (For example, proper divisors of 10 are 1, 2, 5).
1. 225
2. 284
3. 504
4. 768
Choice B
284
JIPMAT 2023 Question Paper - Quants

Two identical solid cubes of side 5 cm are joined end to end. Then the total surface area of the resulting cuboid is
1. \(300 cm^2\)
2. \(250 cm^2\)
3. \(1225 cm^2\)
4. \(200 cm^2\)
Choice B
\(250 cm^2\)
JIPMAT 2023 Question Paper - Quants

How many proper divisors (that is, divisors other than 1 or 7200) does 7200 have?
1. 54
2. 52
3. 20
4. 18
Choice B
52
JIPMAT 2023 Question Paper - Quants

Given below are two statements based on the following: Aman takes half time in rowing a certain distance downstream than upstream.
Statement (I): Ratio of the speed of the boat in still water to the speed of the water current is 2: 1.
Statement (I): If the speed of the boat in still water is 6 km per hour, then the speed of the water current is 2 km per hour.
In light of the above statements, choose the most appropriate answer from the options given below.
1. Both Statement (I) and Statement (II) are true.
2. Both Statement (I) and Statement (II) are false.
3. Statement (I) is true but Statement (II) is false.
4. Statement (I) is false but Statement (II) is true
Choice D
Statement (I) is false but Statement (II) is true
JIPMAT 2023 Question Paper - Quants

The probabilities that A, B, and D can solve a problem independently are \(\frac{1}{3}, \frac{1}{3}\) and \(\frac{1}{4}\) respectively. The probability that only two of them are able to solve the problem is .
1. \(5 / 36\)
2. \(7 / 36\)
3. \(13 / 36\)
4. \(1 / 2\)
Choice B
\(7 / 36\)
JIPMAT 2023 Question Paper - Quants

The number of integral solutions of the equation \(7\left(y+\frac{1}{y}\right)-2\left(y^2+\frac{1}{y^2}\right)=9\) is
1. 0
2. 1
3. 2
4. 3
Choice B
1
JIPMAT 2023 Question Paper - Quants

Statement (I): \(\left(x^2+3 x+1\right)=(x-2)^2\) is not a quadratic equation
Statement (II): The nature of roots of quadric equations \(x^2+2 x \sqrt{3}+3=0\) are real and equal.
In light of the above statements, choose the most appropriate answer the option given below.
1. Both Statement (I) and Statement (II) are true.
2. Both Statement (I) and Statement (II) are false.
3. Statement (I) is true but Statement (II) is false.
4. Statement (I) is false but Statement (II) is true.
Choice A
Both Statement (I) and Statement (II) are true.
JIPMAT 2023 Question Paper - Quants

The total number of seconds in P weeks, P days, P hours, P minutes and P seconds is.
1. 11580 P
2. 11581 P
3. 694860 P
4. 694861 P
Choice D
694861 P
JIPMAT 2023 Question Paper - Quants

\(k ^2-1\) is divisible by 8 , if k is
1. an integer
2. a natural number
3. an even integer
4. an odd integer
Choice B
a natural number
JIPMAT 2023 Question Paper - Quants

Statement (I): The difference, the sum and the product of two numbers are in the ratio \(1: 5: 12\). The product of the two numbers is 18 .
Statement (II): The last digit in the decimal representation of \(2^{91}\) is 6 .
In light of the above statements, choose the most appropriate answer from the options given below.
1. Both Statement (I) and Statement (II) are true.
2. Both Statement (I) and Statement (II) are false.
3. Statement (I) is true but Statement (I) is false.
4. Statement (I) is false but Statement (II) is true.
Choice C
Statement (I) is true but Statement (I) is false.
JIPMAT 2023 Question Paper - Quants

Statement (I): The volume of a right circular cylinder of base radius 7 cm and height 10 cm is 1540 \(cm ^2\) (Take \(\pi=\frac{22}{7}\) ). Statement (II): Total surface area of the cylinder having radius of base 14 cm and height 30 cm , is 3872 \(cm ^2\) (Take \(\pi=\frac{22}{7}\) ). In light of the above statements, choose the most appropriate answer from the options given below.
1. Both Statement (I) and Statement (Il) are true.
2. Both Statement (I) and Statement (II) are false.
3. Statement (I) is true but Statement (Il) is false.
4. Statement (I) is false but Statement (Il) is true.
Choice A
Both Statement (I) and Statement (Il) are true.
JIPMAT 2023 Question Paper - Quants

Sonali buys 2 Pen Drives A and B and their cost price is in the ratio of \(5: 6\) respectively. If she sells them on \(10 \%\) profit each, she earns total profit of ₹ 22 . What will be her total profit, if she sells Pen Drive A on 20 \% loss and Pen Drive B on 30\% profit?
1. ₹ 16
2. ₹ 13
3. ₹ 14
4. ₹ 24
Choice A
₹ 16
JIPMAT 2023 Question Paper - Quants

The expression \(2 x^3+a x^2+b x+3\), where \(a\) and \(b\) are constants, has a factor of \(x-1\) and leaves a remainder of 15 when divided by \(x +2\). Then, \(( a , b )=\)
1. \((-3,8)\)
2. \((3,-8)\)
3. \((-3,-8)\)
4. \((3,8)\)
Choice B
\((3,-8)\)
JIPMAT 2023 Question Paper - Quants

A 30 metre deep well, with diameter 7 metre is dug and the earth from digging is evenly spread out to form a platform of size 22 metre by 14 metre. The height of the platform is
1. 3.5 metre
2. 3.75 metre
3. 2.5 metre
4. 3 meter
Choice B
3.75 metre
JIPMAT 2023 Question Paper - Quants

Given below are two statements in the context of throwing two different dice together:
Statement (I): The probability that the two numbers obtained have even sum, is 0.50.
Statement (I): The probability that the two numbers obtained have even product is 0.75.
In light of the above statements, choose the most appropriate answer from the options given below.
1. Both Statement (I) and Statement (Il) are true.
2. Both Statement (I) and Statement (I) are false.
3. Statement (I) is true but Statement (Il) is false.
4. Statement (I) is false but Statement (Il) is true
Choice A
Both Statement (I) and Statement (Il) are true.
JIPMAT 2023 Question Paper - Quants

If the eight-digit number 5a32465b is divisible by 88, then 2a + 5b =
1. 36
2. 38
3. 40
4. 24
Choice A
36
JIPMAT 2023 Question Paper - Quants

Given below are two statements, one is labelled as Assertion (A) and other one labelled as Reason (R). Assertion (A) : Sum of first hundred even natural numbers divisible by 5 is 45050.
Reason (R) : Sum of first n-terms of an Arithmetic Progression is given by \(s _{ n }=\frac{ n }{2}(a+l)\) where \(a =\) first term, \(l=\) last term
In light of the above statements, choose the correct answer from the options given below.
1. Both (A) and (R) are true and (R) is the correct explanation of \((A)\).
2. Both (A) and (R) are true but (R) is NOT the correct explanation of \(( A )\).
3. (A) is true but (R) is false.
4. (A) is false but (R) is true.
Choice D
(A) is false but (R) is true.
JIPMAT 2023 Question Paper - Quants

The graph of a polynomial \(y=f(x)\) is shown in figure below, then the number of its zeros is:
1. 4
2. 3
3. 2
4. 1
Choice B
3
JIPMAT 2023 Question Paper - Quants

Sumit has ₹ 90000 with him. He purchases three items A, B and C for ₹ 15000, ₹13000 and ₹ 35000 respectively and puts the remaining money in a bank deposit that pays compound interest @15% per annum. After 2 years, he sells off the three items at 80% of their original price and also withdraws his entire money from the bank by closing the account. What is the total change in his asset?
1. - 4.152%
2. + 3.152%
3. - 4.325%
4. + 5.552%
Choice C
- 4.325%
JIPMAT 2023 Question Paper - Quants

In a survey of 100 students, the number of students studying various languages were found to be: English only-18, English but not Hindi-23, English and German-8, English-26, German-48, German and Hindi-8, no language-24. Then, which of the following statements are true?
A. Number of students who were studying Hindi is 18.
B. Number of students who were studying English and Hindi is 3.
C. Number of students who were studying English, Hindi and German is 3.
Choose the correct answer from the options given below:
1. A and B only
2. A and C only
3. B and C only
4. A, B and C
Choice D
A, B and C
JIPMAT 2023 Question Paper - Quants

In \(\triangle A B C, \angle B=90^{\circ}, B C=5 cm, A C-A B=1 cm\), then \(\frac{1+\sin (C)}{1+\cos (C)}\) is
1. \(\frac{5}{6}\)
2. \(\frac{6}{5}\)
3. 2
4. \(\frac{25}{18}\)
Choice D
\(\frac{25}{18}\)
JIPMAT 2023 Question Paper - Quants

If the difference the circumstance and radius of circle is 37 cm , then u using \(\pi=\frac{22}{7}\), what is the circumference (in cm ) of the circle?
1. 42 cm
2. 46 cm
3. 44 cm
4. 38 cm
Choice C
44 cm
JIPMAT 2023 Question Paper - Quants

Which of the following statements are True?
A. The mean of x, y, z is y. Then x + z = 2y.
B. Median of 15, 28, 72, 56, 44, 32, 31, 43 and 51 is 43.
C. Mode of 2, 3, 4, 5, 0, 1, 3, 3, 4 and 3 is 3.
Choose the correct answer from the options given below:
1. A and B only
2. A and C only
3. B and C only
4. A, B and C
Choice D
A, B and C
JIPMAT 2023 Question Paper - Quants

In a Women's Chess Championship having 300 entrants, a player is eliminated whenever she loses a match. It is given that no match results in a draw. The number of matches that are played in the entire Championship is
1. 301
2. 300
3. 299
4. 298
Choice C
299