6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The curved surface area of a cylindrical pillar is 264 sq.m and its volume is 924 cub.m. Find the ratio of its diameter to its height

A) 3 : 7	B) 7 : 3
C) 6 : 7	D) 7 : 6

Answer & Explanation Answer: B) 7 : 3

Explanation:

$\frac{{πr}^{2 h}}{2 {πr}^{2 h}} = \frac{924}{264}$

=> r = (24/364) x 2 = 7m

$2 πrh = 264 \Rightarrow h = (264 \times \frac{7}{22} \times \frac{1}{2} \times \frac{1}{7}) = 6 m$

Required Rato =2r/h =14/6 = 7:3

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Filed Under: Volume and Surface Area

21 15947

Q:

The area of a square field is 69696sq.cm..its diagonal will be equal to

A) 373	B) 573
C) 473	D) 673

Answer & Explanation Answer: A) 373

Explanation:

$d = \sqrt{2 * s} = > d = \sqrt{2 * 69696}$

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

9 15906

Q:

The bankers gain of a certain sum due 2 years hence at 10% per annum is Rs 24 .The percent worth is

A) 400	B) 800
C) 500	D) 600

Answer & Explanation Answer: D) 600

Explanation:

T.D = (B.G * 100) / (Rate * Time)

(24*100) / (10 * 2)

= 120.

P.W = (100 *T.D) / (Rate * Time)

= (100 * 120) /(10 * 2)

= 600

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Filed Under: Banker's Discount

17 15895

Q:

The distance from town A to town B is five miles. C is six miles from B. Which of the following could be the maximum distance from A to C?

A) 11	B) 8
C) 2	D) 4

Answer & Explanation Answer: A) 11

Explanation:

Do not assume that AB and C are on a straight line. Make a diagram with A and B marked 5 miles apart. Draw a circle centered on B, with radius 6. C could be anywhere on this circle. The minimum distance will be 1, and maximum 11

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Filed Under: Time and Distance
Exam Prep: GRE

20 15887

Q:

The product of three consecutive even numbers when divided by 8 is 720. The product of their square roots is :

A) 12 sqrt(10)	B) 24 sqrt(10)
C) 120	D) none of these

Answer & Explanation Answer: B) 24 sqrt(10)

Explanation:

Let the numbers be x, x + 2 and X + 4.

Then, x(x + 2)(x +4) / 8 = 720 => x(x + 2)(x +4) = 5760.

√x * √(x + 2) * √(x +4) = √x(x +2)(x + 4 ) = √5760 = 24√10.

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Filed Under: Problems on Numbers

19 15863

Q:

Two pipes A and B can separately fill a cistern in 10 and 15 minutes respectively. A person opens both the pipes together when the cistern should have been was full he finds the waste pipe open. He then closes the waste pipe and in another 3 minutes the cistern was full. In what time can the waste pipe empty the cistern when fill ?

A) 8.21 min	B) 8 min
C) 8.57 min	D) 8.49 min

Answer & Explanation Answer: C) 8.57 min

Explanation:

1/10 + 1/15 = 1/6 x 3 = 1/2

1 - 1/2 = 1/2

1/10 + 1/15 - 1/x = 1/2

x = 8.57 min

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Filed Under: Pipes and Cistern
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

36 15821

Q:

Suppose today is Friday, what day of the week will it be 65 days from now?

A) Saturday	B) Sunday
C) Friday	D) Thursday

Answer & Explanation Answer: B) Sunday

Explanation:

The day of the week repeats every 7 days.

Given today is Friday. Again Friday is repeated on the 7th day, 14th,... on 7 multiple days.

Hence, Friday is on the 63rd day, as 63 is multiple of 7.

Now, the required day of the week on the 65th day is Sunday.

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Filed Under: Calendar
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

56 15821

Q:

8 couples (husband and wife) attend a dance show "Nach Baliye' in a popular TV channel ; A lucky draw in which 4 persons picked up for a prize is held, then the probability that there is atleast one couple will be selected is :

A) 8/39	B) 15/39
C) 12/13	D) None of these

Answer & Explanation Answer: B) 15/39

Explanation:

P( selecting atleast one couple) = 1 - P(selecting none of the couples for the prize)

= $1 - (\frac{16_{C_{1}} \times 14_{C_{1}} \times 12_{C_{1}} \times 10_{C_{1}}}{16_{C_{4}}}) = \frac{15}{39}$

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Filed Under: Probability
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

64 15817

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