6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If $l o g_{\sqrt{8}} (x) = 3 \frac{1}{3} t h e n f i n d t h e v a l u e o f x ?$

A) 25	B) 32
C) 37	D) None of these

Answer & Explanation Answer: B) 32

Explanation:

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Filed Under: Logarithms

36 6128

Q:

A Cricket team of 23 people all shake hands with each other exactly once. How many hand shakes occur ?

A) 142	B) 175
C) 212	D) 253

Answer & Explanation Answer: D) 253

Explanation:

The first person shakes hands with 22 different people, the second person also shakes hands with 22 different people, but one of those handshakes was counted in the 22 for the first person, so the second person actually shakes hands with 21 new people. The third person, 20 people, and so on...
So,
22 + 21 + 20 + 19 + 18 + 17 + 16 + 15 + 14 + 13 + 12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1
= n(n+1)/2 = 22 x 23 /2 = 11 x 23 = 253.

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Bank Clerk , Bank PO

4 6127

Q:

The true discount on a bill due 9 months hence at 12% per annum is Rs 540. Find the amount of the bill and its present worth?

A) 1600	B) 7000
C) 6000	D) 6500

Answer & Explanation Answer: C) 6000

Explanation:

Let amount be Rs.x then,

[X * R * T] / [100 + (R * T)] = T.D

=> [x * 12 * (3/4)] / [100+(12 * 3/4)] =540

=> x = 6540

Amount = Rs.6540

P.W = Rs.(6540 -540) = Rs.6000

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Filed Under: True Discount

0 6127

Q:

A passenger train is moving at a speed of 120 km/hr. If the length of the train is 101 meters, how long will it take to cross a railway platform 154 meters long ?

A) 6.24 sec	B) 6.58 sec
C) 7.325 sec	D) 7.65 sec

Answer & Explanation Answer: D) 7.65 sec

Explanation:

Here total distance = 154 + 101 = 255 mts
Given speed = 120 kmph = 120x5/18 m/sec
Hence, Time = d/s = 255x18/120x5 = 7.65 sec

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Filed Under: Problems on Trains
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

8 6118

Q:

There are 7 men and 10 women on a committee selection pool.A committee consisting of President,Vice-President, and Treasurer is to be formed.How many ways can exactly two men be on the committe ?

A) 1200	B) 1240
C) 1260	D) 1620

Answer & Explanation Answer: C) 1260

Explanation:

There are $7 C_{2}$ ways of selecting two men, and $10 C_{1}$ ways of selecting a woman.Since each position in the committee is different,arrange the three people in 3! ways.

So, $7 C_{2} * 10 C_{1} * 3! = 1260$

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Filed Under: Permutations and Combinations

1 6110

Q:

A team of 8 students goes on an excursion, in two cars, of which one can seat 5 and the other only 4. In how many ways can they travel?

A) 126	B) 240
C) 120	D) 260

Answer & Explanation Answer: A) 126

Explanation:

There are 8 students and the maximum capacity of the cars together is 9.

We may divide the 8 students as follows

Case I: 5 students in the first car and 3 in the second Or

Case II: 4 students in the first car and 4 in the second

Hence, in Case I: 8 students are divided into groups of 5 and 3 in $8 C_{3}$ ways.

Similarly, in Case II: 8 students are divided into two groups of 4 and 4 in $8 C_{4}$ ways.

Therefore, the total number of ways in which 8 students can travel is

$8 C_{3} + 8 C_{4}$ = 56 + 70 = 126.

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Filed Under: Permutations and Combinations

0 6109

Q:

A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 59.29, the number of the member is the group is:

A) 57	B) 67
C) 77	D) 87

Answer & Explanation Answer: C) 77

Explanation:

Money collected = (59.29 x 100) paise = 5929 paise.

Number of members = $\sqrt{5929}$ = 77.

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Filed Under: Square Roots and Cube Roots

26 6097

Q:

The probabiltiy that throw of two dice yields a total of 5 or 6 is:

A) 2/14	B) 5/18
C) 3/4	D) 1/4

Answer & Explanation Answer: B) 5/18

Explanation:

Total number of cases=36

Number of favourable cases(sum 5 or 6)=10

P(getting total of 5 or 6)=10/36=5/18

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Filed Under: Probability

5 6091

Quantitative Aptitude - Arithmetic Ability Questions

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