6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If x : y = 1 : 3, then what will be the ratio of $(3 y^{2} + 3 x^{2}) : (2 y^{2} - 8 x^{2})$ ?

A) 4 : 1	B) 2 : 1
C) 3 : 1	D) 5 : 1

Answer & Explanation Answer: C) 3 : 1

Explanation:

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

1 17218

Q:

Ten years ago A was half of B in age. If the ratio of their present ages is 3 : 4, what will be the total of their present ages

A) 15	B) 25
C) 35	D) 45

Answer & Explanation Answer: C) 35

Explanation:

Let A's age 10 years ago = x years.
Then, B's age 10 years ago = 2x years.
(x + 10) / (2x+ l0) = 3/4
=> x = 5.
So, the total of their present ages =(x + 10 + 2x + 10)
= (3x + 20) = 35 years.

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Filed Under: Problems on Ages

32 17211

Q:

If the cost price of a certain object doubles, then the loss gets tripled of what it was initially. The initial loss % was ?

A) 0 %	B) 25 %
C) 75 %	D) 50 %

Answer & Explanation Answer: D) 50 %

Explanation:

Let the cost price be x and selling price be y.
Loss = x – y

When the cost price doubles, the loss gets tripled.
So it becomes like this, 2x – y = 3(x-y)

=> x = 2y

Loss % = (loss/ C.P) x 100 = [(2y-y)/2y] x 100= 50 %

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Filed Under: Profit and Loss
Exam Prep: CAT
Job Role: Bank PO

24 17188

Q:

Which of the following numbers is irrational?

A) 643	B) √64
C) 646	D) 644

Answer & Explanation Answer: D) 644

Explanation:

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

3 17131

Q:

The distance between two cities A and B is 330 Km. A train starts from A at 8 a.m. and travel towards B at 60 km/hr. Another train starts from B at 9 a.m and travels towards A at 75 Km/hr. At what time do they meet?

A) 10 a.m	B) 10.30 a.m
C) 11 a.m	D) 11.30 a.m

Answer & Explanation Answer: C) 11 a.m

Explanation:

Suppose they meet x hrs after 8 a.m

then,

[Distance moved by first in x hrs] + [Distance moved by second in (x-1) hrs] = 330.

Therefore, 60x + 75(x-1) = 330.

=> x=3.

So,they meet at (8+3) i.e, 11a.m.

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Filed Under: Time and Distance

50 17130

Q:

A cuboidal block 6cm x 9cm x 12cm is cut up into an exact number of equal cubes.The least possible number of equal cubes will be

A) 6	B) 9
C) 24	D) 30

Answer & Explanation Answer: C) 24

Explanation:

Volume of block=(6 x 9 x 12) cu.cm = 648 cu.cm

Side of largest cube = H.C.F of 6,9,12 = 3cm

Volume of the cube=(3 x 3 x 3)=27cu.cm

Number of cubes=(648/27)=24

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
Job Role: Bank PO

18 17117

Q:

Find the number of subsets of the set {1,2,3,4,5,6,7,8,9,10,11} having 4 elements.

A) 340	B) 370
C) 320	D) 330

Answer & Explanation Answer: D) 330

Explanation:

Here the order of choosing the elements doesn’t matter and this is a problem in combinations.

We have to find the number of ways of choosing 4 elements of this set which has 11 elements.

This can be done in 11 $C_{4}$ ways = 330 ways

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Filed Under: Permutations and Combinations

15 17101

Q:

Amit can do a piece of work in 45 days, but Bharath can do the same work in 5 days less, than Amit, when working alone. Amit and Bharath both started the work together but Bharath left after some days and Amit finished the remaining work in 56 days with half of his efficiency but he did the work with Bharath with his complete efficiency. For how many days they had worked together?

A) 6	B) 8
C) 9	D) 12

Answer & Explanation Answer: B) 8

Explanation:

$\begin{matrix} A m i t & B h a r a t \\ N o . o f D a y s & 45 & 40 \\ E f f i c i e n c y & 2.22 P e r c e n t (= \frac{1}{45}) & 2.5 P e r c e n t (= \frac{1}{40}) \end{matrix}$

Amit did the work in 56 days = $56 \times \frac{1}{45 \times 2} = \frac{28}{45}$

Therefore, Rest work 17/45 was done by Amit and Bharath = $\frac{\frac{17}{45}}{\frac{17}{360}}$ = 8 days

( since Amit and Bharath do the work in one day = $\frac{1}{45} + \frac{1}{40} = \frac{17}{360}$ )

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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

30 17101

Quantitative Aptitude - Arithmetic Ability Questions

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