6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The ratio of the ages of Maala and Kala is 4 : 3. The total of their ages is 2.8 decades. The proportion of their ages after 0.8 decades will be [1 Decade = 10 years]

A) 4:3	B) 12:11
C) 7:4	D) 6:5

Answer & Explanation Answer: D) 6:5

Explanation:

Let, Maala’s age = 4A and Kala’s age = 3A
Then 4A + 3A = 28
A = 4
Maala’s age = 16 years
and Kala’s age = 12 years
Proportion of their ages after 8 is = (16 + 8) : (12 + 8)
= 24 : 20
= 6 : 5

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Filed Under: Problems on Ages

41 17955

Q:

One type of liquid contains 25 % of benzene, the other contains 30% of benzene. A can is filled with 6 parts of the first liquid and 4 parts of the second liquid. Find the percentage of benzene in the new mixture.

A) 27 %	B) 26 %
C) 29 %	D) 21 %

Answer & Explanation Answer: A) 27 %

Explanation:

Let the percentage of benzene = X
(30 - X)/(X- 25) = 6/4 = 3/2
=> 5X = 135
X = 27

So, required percentage of benzene = 27 %

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Filed Under: Alligation or Mixture
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Analyst , Bank Clerk , Bank PO , Network Engineer , Project Manager

30 17927

Q:

The median of the data 1, 1/2, 1/2, 3/4, 1/4, 2, 1/2, 1/4, 3/4 is

A) 1/4	B) 1/2
C) 1/6	D) 3/4

Answer & Explanation Answer: B) 1/2

Explanation:

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Filed Under: Average
Exam Prep: Bank Exams

0 17926

Q:

With an average speed of 40 km/hr, a train reaches its destination in time. If it goes with an average speed of 35 km/hr, it is late by 15 minutes. Find the length of the total journey?

A) 70 kms	B) 60 kms
C) 45 kms	D) 30 kms

Answer & Explanation Answer: A) 70 kms

Explanation:

Let the time taken by train be 't' hrs.

Then,

$40 t = 35 (t + \frac{15}{60})$

40t = 35t + 35/4

t = 7/4 hrs

Therefore, Required length of the total journey d = s x t

= 40 x 7/4

= 70 kms.

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Filed Under: Time and Distance
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Analyst , Bank Clerk , Bank PO , IT Trainer

22 17918

Q:

Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.85. How much was lent at 5% ?

A) Rs. 500	B) Rs. 245
C) Rs. 1250	D) Rs. 635

Answer & Explanation Answer: A) Rs. 500

Explanation:

(kx5x1)/100 + [(1500 - k)x6x1]/100 = 85

5k/100 + 90 – 6k/100 = 85

k/100 = 5

=> k = 500

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

12 17913

Q:

From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?

A) 564	B) 735
C) 756	D) 657

Answer & Explanation Answer: C) 756

Explanation:

We may have (3 men and 2 women) or (4 men and 1 woman) or (5 men only).

Required number of ways= $(7 C_{3} * 6 C_{2}) + (7 C_{4} * 6 C_{1}) + 7 C_{5}$ = 756.

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Filed Under: Permutations and Combinations

11 17902

Q:

An equilateral triangle is described on the diagonal of a square. What is the ratio of the area of the triangle to that of the square?

A) 1:2	B) 1:3
C) 2:3	D) 3^(1/2) :2

Answer & Explanation Answer: D) 3^(1/2) :2

Explanation:

area of a square = a² sq cm

length of the diagonal = $\sqrt{2 a}$ cm

area of equilateral triangle with side $\sqrt{2 a}$ = $\frac{\sqrt{3}}{4} * {(\sqrt{2 a})}^{2}$
required ratio = $\frac{\sqrt{3}}{4} * {(\sqrt{2 a})}^{2} : a^{2} = \sqrt{3} : 2$

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

14 17902

Q:

If 4/7 of P is equal to 12/14 of Q, then what is P : Q?

A) 15 : 8	B) 14 : 9
C) 7 : 8	D) 3 : 2

Quantitative Aptitude - Arithmetic Ability Questions

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