6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

In the following question, select the odd word from the given alternatives.

A) Rhombus	B) Cylinder
C) Cone	D) Sphere

Answer & Explanation Answer: A) Rhombus

Explanation:

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

0 15578

Q:

ΔUVW is right angled at V. If sinU = 24/25, then what is the value of cosW ?

A) 25/7	B) 24/7
C) 7/24	D) 24/25

Answer & Explanation Answer: D) 24/25

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

2 15573

Q:

There are 5 novels and 4 biographies. In how many ways can 4 novels and 2 biographies can be arranged on a shelf ?

A) 26100	B) 21600
C) 24000	D) 36000

Answer & Explanation Answer: B) 21600

Explanation:

4 novels can be selected out of 5 in $5 C_{4}$ ways.

2 biographies can be selected out of 4 in $4 C_{2}$ ways.

Number of ways of arranging novels and biographies = $5 C_{4} * 4 C_{2}$ = 30

After selecting any 6 books (4 novels and 2 biographies) in one of the 30 ways, they can be arranged on the shelf in 6! = 720 ways.

By the Counting Principle, the total number of arrangements = 30 x 720 = 21600

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Filed Under: Permutations and Combinations

7 15573

Q:

A man’s current age is $\frac{2}{5}$ of the age of his father. After 8 years, he will be $\frac{1}{2}$ of the age of his father. What is the age of father at now ?

A) 50	B) 40
C) 33	D) 30

Answer & Explanation Answer: B) 40

Explanation:

Let, father’s current age is A years.
Then, Man’s current age = $[(\frac{2}{5} * A)]$ years.

$[(\frac{2}{5} * A)]$ +8= $(\frac{1}{2}) (A + 8)$

2(2A+40) = 5(A+8)

A = 40

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Filed Under: Problems on Ages

23 15534

Q:

The year next to 2003 will have the same calendar as that of the year 2003?

A) 2024	B) 2014
C) 2009	D) 2020

Answer & Explanation Answer: B) 2014

Explanation:

Given year 2003, when divided by 4 leaves a remainder of 3.

NOTE: When remainder is 3, 11 is added to the given year to get the result.

So, 2003 + 11 = 2014

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Filed Under: Calendar

36 15523

Q:

A shopkeeper fixes the marked price of an item 35% above its cost price. The percentage of discount allowed to gain 8% is

A) 18%	B) 20%
C) 22%	D) 24%

Answer & Explanation Answer: B) 20%

Explanation:

Let the cost price = Rs 100
then, Marked price = Rs 135

Required gain = 8%,
So Selling price = Rs 108
Discount = 135 - 108 = 27

Discount% = (27/135)*100 = 20%

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Filed Under: Profit and Loss

29 15522

Q:

The volume of a hemisphere is 2425.5 cm³. Find its diameter (in cm).

A) 10.5	B) 42
C) 21	D) 31.5

Answer & Explanation Answer: C) 21

Explanation:

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

0 15517

Q:

In a 48 ltr mixture, the ratio of milk and water is 5:3. How much water should be added in the mixture so as the ratio will become 3:5 ?

A) 24 lit	B) 16 lit
C) 32 lit	D) 8 lit

Answer & Explanation Answer: C) 32 lit

Explanation:

Given mixture = 48 lit

Milk in it = 48 x 5/8 = 30 lit

=> Water in it = 48 - 30 = 18 lit

Let 'L' lit of water is added to make the ratio as 3:5

=> 30/(18+L) = 3/5

=> 150 = 54 + 3L

=> L = 32 lit.

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Filed Under: Alligation or Mixture
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

36 15516

Quantitative Aptitude - Arithmetic Ability Questions

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