6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by:

A) 22.75 m	B) 25 m
C) 19.5 m	D) 18.5 m

Answer & Explanation Answer: B) 25 m

Explanation:

A : B = 200 : 169.

A : C = 200 : 182.

C/B = (C/A*A/B) = (182/200*200/169) = 182:169

When C covers 182 m, B covers 169 m.

When C covers 350 m, B covers (169/180*350)m = 325 m

Therefore, C beats B by (350 - 325) m = 25 m.

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Filed Under: Races and Games

30 31580

Q:

When four fair dice are rolled simultaneously, in how many outcomes will at least one of the dice show 3?

A) 620	B) 671
C) 625	D) 567

Answer & Explanation Answer: B) 671

Explanation:

When 4 dice are rolled simultaneously, there will be a total of 6 x 6 x 6 x 6 = 1296 outcomes.

The number of outcomes in which none of the 4 dice show 3 will be 5 x 5 x 5 x 5 = 625 outcomes.

Therefore, the number of outcomes in which at least one die will show 3 = 1296 – 625 = 671

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Filed Under: Permutations and Combinations

48 31536

Q:

What is the total number of circles passing through the two fixed points?

A) 1	B) 2
C) 4	D) Infinite

Answer & Explanation Answer: D) Infinite

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

0 31508

Q:

The ratio of expenditure and savings is 3 : 2 . If the income increases by 15% and the savings increases by 6% , then by how much percent should his expenditure increases?

A) 25	B) 21
C) 12	D) 24

Answer & Explanation Answer: B) 21

Explanation:

Therefore x = 21%

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Filed Under: Alligation or Mixture

138 31504

Q:

Direction: What value should come in place of the question mark (?) in the following question?

$\sqrt{529} * 6 / 2 * ? = 14076$

A) 204	B) 251
C) 102	D) 146

Answer & Explanation Answer: A) 204

Explanation:

23*3*x=14076
69*x=14076
= 69 =204

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams , GATE

0 31400

Q:

In an examination, a pupil's average marks were 63 per paper. If he had obtained 20 more marks for his Geography paper and 2 more marks for his History paper, his average per paper would have been 65. How many papers were there in the examination ?

A) 8	B) 9
C) 10	D) 11

Answer & Explanation Answer: D) 11

Explanation:

Let the number of papers be x. Then, 63x + 20 + 2 = 65x or 2x = 22 or x = 11.

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Filed Under: Average

85 31330

Q:

Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit ?

A) 10110	B) 10500
C) 12000	D) 13000

Answer & Explanation Answer: B) 10500

Explanation:

Simran : Nanda = (50000 * 36) : (80000 * 30) = 3 : 4.

Simran's share = Rs. ( 24500 * 3/7) = Rs. 10500.

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Filed Under: Partnership

27 31251

Q:

If a + b + c = 13, $a^{2} + b^{2} + c^{2} = 69$ then find the ab + bc + ca :

A) 10	B) 30
C) 50	D) 70

Answer & Explanation Answer: C) 50

Explanation:

${(a + b + c)}^{2} = a^{2} + b^{2} + c^{2} + 2 (a b + b c + c a)$

$2 (a b + b c + c a) = {(a + b + c)}^{2} - (a^{2} + b^{2} + c^{2}) = 169 - 69 = 100 = (a b + b c + c a) = 50$

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Filed Under: Simplification

53 31203

Quantitative Aptitude - Arithmetic Ability Questions

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