JIPMAT 2023 PYQsQuantitative Ability. Free, no login required.

Q1:

Arithmetic > Time & Work

Hard

Given below are two statements: Statement (I): 4 boys and 8 girls completed 1/3 of work in 5 days. After that 3 boys and 3 girls increased, and they completed another 1/3 of 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 (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 (6/11) days. In light of the above statements, choose the most appropriate answer from the options given below.

Both Statement (I) and Statement (II) are true.

Both Statement (I) and Statement (II) are false.

Statement (I) is true but Statement (II) is false.

Statement (I) is false but Statement (II) is true.

Correct Answer

Option 4

Correct Answer

Explanation

Q2:

Number System > Integral Solutions

Medium

The number of integral solutions of the equation $7\left(y+\frac{1}{y}\right)-2\left(y^2+\frac{1}{y^2}\right)=9 \text { is }$

Correct Answer

Option 2

Correct Answer

Explanation

Q3:

Number System > Miscellaneous

Medium

Given below are two statements: 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 291 is 6. In light of the above statements, choose the most appropriate answer from the options given below.

Both Statement (I) and Statement (II) are true.

Both Statement (I) and Statement (II) are false.

Statement (I) is true but Statement (II) is false.

Statement (I) is false but Statement (II) is true.

Correct Answer

Option 2

Correct Answer

Explanation

Q4:

Algebra > Linear Equation

Easy

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:

301

300

299

298

Correct Answer

Option 3

Correct Answer

Explanation

Q5:

Algebra > Linear Equation

Medium

The total number of seconds in P weeks, P days, P hours, P minutes, and P seconds is:

11580P

11581P

694860P

694861P

Correct Answer

Option 4

Correct Answer

Explanation

Q6:

Arithmetic > Simple & Compound Interest

Medium

Sumit has Rs. 90000 with him. He purchases three items A, B, and C for Rs. 15000, Rs. 13000, and Rs. 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?

-4.152%

3.152%

-4.325%

5.552%

Correct Answer

Option 3

Correct Answer

Explanation

Q7:

Number System > Factorisation

Easy

How many proper divisors (that is, divisors other than 1 or 7200) does 7200 have?

Correct Answer

Option 2

Correct Answer

Explanation

Q8:

Geometry > Circles

Easy

If the difference between the circumference and radius of a circle is 37 cm, using π = 22/7, what is the circumference (in cm) of the circle?

42 cm

46 cm

44 cm

38 cm

Correct Answer

Option 3

Correct Answer

Explanation

Q9:

Modern Math > Probability

Easy

Let A and B be two events such that P(A)=0.25, P(B)=0.50 and P(A ∩ B)=0.14. The probability that neither A nor B occurs is:

0.09

0.19

0.39

0.29

Correct Answer

Option 3

Correct Answer

Explanation

Q10:

Geometry > Circles

Conceptual

Which of the following statements are True in the context of circles?<ul><li>A. A tangent of a circle touches it at two points.</li><li>B. A circle can have two parallel tangents at the most.</li><li>C. There is no tangent to a circle passing through a point inside the circle.</li></ul>Choose the correct answer from the options given below:

A and B Only

A, B and C

A and C Only

B and C Only

Correct Answer

Option 4

Correct Answer

Explanation

Q11:

Algebra > Indices

Medium

$\sqrt{3+\sqrt{5}}=$

$\sqrt{2}+1$

$\sqrt{\frac{5}{2}}+\sqrt{\frac{1}{2}}$

$\sqrt{\frac{7}{2}}-\sqrt{\frac{1}{2}}$

$\sqrt{\frac{9}{2}}-\sqrt{\frac{3}{2}}$

Correct Answer

Option 2

Correct Answer

Explanation

Q12:

Arithmetic > Averages

Easy

Which of the following statements are True?<ul><li>A. The mean of x, y, z is y. Then x + z = 2y.</li><li>B. Median of 15, 28, 72, 56, 44, 32, 31, 43 and 51 is 43.</li><li>C. Mode of 2, 3, 4, 5, 0, 1, 3, 3, 4, and 3 is 3.</li></ul>Choose the correct answer from the options given below:

A and B only

A and C only

B and C only

A, B and C

Correct Answer

Option 4

Correct Answer

Explanation

Q13:

Number System > Divisibility Rules

Conceptual

If k2 - 1 is divisible by 8, then K is:

an integer

a natural number

an even integer

an odd integer

Correct Answer

Option 4

Correct Answer

Explanation

Q14:

Geometry > Solids

Medium

A 30 meter deep well, with a diameter of 7 meters is dug and the earth from digging is evenly spread out to form a platform of size 22 meters by 14 meters. The height of the platform is:

3.5 meter

3.75 meter

2.5 meter

3 meter

Correct Answer

Option 2

Correct Answer

Explanation

Q15:

Number System > Divisibility Rules

Medium

If the eight-digit number $5a32465b$ is divisible by $88$, then $2a+ 5b =$

Correct Answer

Option 1

Correct Answer

Explanation

Q16:

Arithmetic > Ratio, Proportion & Variation

Medium

Sonali buys 2 Pen Drives A and B, and their cost price is in the ratio of 5:6 respectively. If she sells them at a 10% profit each, she earns a total profit of ₹22. What will be her total profit, if she sells Pen Drive A at a 20% loss and Pen Drive B at a 30% profit?

₹16

₹13

₹14

₹24

Correct Answer

Option 1

Correct Answer

Explanation

Q17:

Geometry > Trigonometry

Easy

If $\sin (θ) - \cos (θ) = 0$, the value of sin4 (θ) + cos4 (θ) is:

$1$

$\frac12$

$\frac34$

$\frac14$

Correct Answer

Option 2

Correct Answer

Explanation

Q18:

Arithmetic > Averages

Easy

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:

Correct Answer

Option 2

Correct Answer

Explanation

Q19:

Algebra > Quadratic Equations

Conceptual

The graph of a polynomial $y = f(x)$ is shown in figure below, then the number of its zeros is: <img src="https://balti.afterboards.in/bKbZmXAxDAlKPRR" width=300px>

Correct Answer

Option 2

Correct Answer

Explanation

Q20:

Geometry > Solids

Easy

Given below are two statements:Statement (I): The volume of a right circular cylinder of base radius 7 cm and height 10 cm is 1540 cm3 (Take π = 22/7).Statement (II): Total surface area of the cylinder having radius of base 14 cm and height 30 cm, is 3872 cm2 (Take π= 22/7).In light of the above statements, choose the most appropriate answer from the options given below.

Both Statement (I) and Statement (II) are true.

Both Statement (I) and Statement (II) are false.

Statement (I) is true but Statement (II) is false.

Statement (I) is false but Statement (II) is true.

Correct Answer

Option 1

Correct Answer

Explanation

Q21:

Algebra > Linear Equation

Easy

If the pair of linear equations $2x + 3y = 7 $ and $ 2px + (p + q) y = 28$ has an infinite number of solutions, then (p, q)

$(8,4)$

$(4,8)$

$(3,6)$

$(6,3)$

Correct Answer

Option 2

Correct Answer

Explanation

Q22:

Geometry > Trigonometry

Medium

In $\triangle \mathrm{ABC}, \angle \mathrm{B}=90^{\circ}, \mathrm{BC}=5 \ \mathrm{cm}, \mathrm{AC}-\mathrm{AB}=1 \mathrm{~cm}$, then $\frac{1+\sin (\mathrm{C})}{1+\cos (\mathrm{C})}$ is

$\frac{5}{6}$

$\frac{6}{5}$

$2$

$\frac{25}{18}$

Correct Answer

Option 4

Correct Answer

Explanation

Q23:

Modern Math > Set Theory

Hard

In a survey of 100 students, the number of students studying various languages were found to be: <ol><li>English only-18</li><li>English but not Hindi-23</li><li>English and German-8</li><li>English-26</li><li>German-48</li><li>German and Hindi-8</li><li>No language-24</li></ol>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.

A and B only

A and C only

B and C only

A, B and C

Correct Answer

Option 4

Correct Answer

Explanation

Q24:

Number System > Miscellaneous

Hard

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 equals:

225

284

404

No Answer

Correct Answer

Option 2

Correct Answer

Explanation

Q25:

Modern Math > Probability

Medium

Given below are two statements in the context of throwing two different dice together:Statement (I): The probability that the two numbers obtained have an even sum is 0.50.Statement (II): The probability that the two numbers obtained have an even product is 0.75.In light of the above statements, choose the most appropriate answer from the options given below.

Both Statement (I) and Statement (II) are true.

Both Statement (I) and Statement (II) are false.

Statement (I) is true but Statement (II) is false.

Statement (I) is false but Statement (II) is true.

Correct Answer

Option 1

Correct Answer

Explanation

Q26:

Number System > Miscellaneous

Medium

The expression 2x3 + ax2 + bx + 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) =

(-3,8)

(3,-8)

(-3,-8)

(3, 8)

Correct Answer

Option 2

Correct Answer

Explanation

Q27:

Arithmetic > Time, Speed & Distance

Medium

Aman takes half the 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 (II): 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. Choose the most appropriate answer from the options given below.

Both Statement (I) and Statement (II) are true.

Both Statement (I) and Statement (II) are false.

Statement (I) is true but Statement (II) is false.

Statement (I) is false but Statement (II) is true.

Correct Answer

Option 4

Correct Answer

Explanation

Q28:

Modern Math > Probability

Medium

The probabilities that A, B, and D can solve a problem independently are 1/3, 1/3, and 1/4 respectively. The probability that only two of them are able to solve the problem is:

$\frac{5}{36}$

$\frac{7}{36}$

$\frac{13}{36}$

$\frac12$

Correct Answer

Option 2

Correct Answer

Explanation

Q29:

Algebra > Quadratic Equations

Easy

Given below are two statements:Statement (I): (x2 + 3x + 1) = (x - 2)2 is not a quadratic equation.Statement (II): The nature of roots of quadratic equations x2 + 2x√3 + 3 = 0 are real and equal.In light of the above statements, choose the most appropriate answer from the options given below.

Both Statement (I) and Statement (II) are true.

Both Statement (I) and Statement (II) are false.

Statement (I) is true but Statement (II) is false.

Statement (I) is false but Statement (II) is true.

Correct Answer

Option 1

Correct Answer

Explanation

Q30:

Geometry > Solids

Easy

Two identical solid cubes of side 5 cm are joined end to end. Then the total surface area of the resulting cuboid is:

300 cm2

250 cm2

225 cm2

200 cm2

Correct Answer

Option 2

Correct Answer

Explanation

Q31:

Algebra > Progression & Series

Easy

Assertion [A]: Sum of the first hundred even natural numbers divisible by 5 is 45050. Reason (R): Sum of the first n-terms of an Arithmetic Progression is given by $S = (n/2) *(a + l)$ where a=first term, l=last term. Choose the correct answer from the options given below.

Both [A] and (R) are true and (R) is the correct explanation of (A).

Both [A] and (R) are true but (R) is NOT the correct explanation of (A).

[A] is true but (R) is false.

[A] is false but (R) is true.

Correct Answer

Option 4

Correct Answer

Explanation

Q32:

Geometry > Circles

Easy

The area of the circle that can be inscribed in a square of side 6 cm is:

36 π

18 π

12 π

9 π

Correct Answer

Option 4

Correct Answer

Explanation

Q33:

Geometry > Solids

Easy

The radii of two cones are in the ratio 2:3 and their volumes are in the ratio 1:3. Then the ratio of their heights is:

$3:2$

$1:2$

$3:4$

$2:3$

Correct Answer

Option 3

Correct Answer

Explanation

JIPMAT 2023 Quantitative Ability Past Year Question Paper

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