6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Solve the following :

$72 \div \frac{1}{2} {15 + 12 - (9 + 6 - \bar{5 + 7})} = ?$

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

Answer & Explanation Answer: A) 6

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

1 28916

Q:

Two stations P and Q are 110 km apart on a straight track. One train starts from P at 7 a.m. and travels towards Q at 20 kmph. Another train starts from Q at 8 a.m. and travels towards P at a speed of 25 kmph. At what time will they meet?

A) 10.30	B) 10
C) 8.45	D) 9.30

Answer & Explanation Answer: B) 10

Explanation:

Assume both trains meet after x hours after 7 am

Distance covered by train starting from P in x hours = 20x km

Distance covered by train starting from Q in (x-1) hours = 25(x-1)

Total distance = 110

=> 20x + 25(x-1) = 110

=> 45x = 135

=> x= 3

Means, they meet after 3 hours after 7 am, ie, they meet at 10 am

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Filed Under: Problems on Trains

42 28878

Q:

Which of the following conditions is correct for a right angled triangle?

A) Sum of the two angles of a triangle is greater than the third angle	B) Sum of the two angles of a triangle is less than the third angle
C) Sum of the two angles of a triangle is equal to the third angle	D) None of these

Answer & Explanation Answer: C) Sum of the two angles of a triangle is equal to the third angle

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

0 28873

Q:

The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team ?

A) 20 years	B) 21 years
C) 23 years	D) 25 years

Answer & Explanation Answer: C) 23 years

Explanation:

Let the average age of the whole team be x years.

11x - (26 + 29) = 9 (x - 1)

=> 11x - 9x = 46

=> 2x = 46

=> x = 23.

So, average age of the team is 23 years.

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Filed Under: Average

57 28867

Q:

If $\frac{x^{32} - 1}{x^{16}} = 5$ , then find the value of $\frac{x^{96} - 1}{x^{48}}$ .

A) 40	B) 70
C) 140	D) 180

Answer & Explanation Answer: C) 140

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

1 28847

Q:

In how many ways can the letters of the word EDUCATION be rearranged so that the relative position of the vowels and consonants remain the same as in the word EDUCATION?

A) 4! x 4!	B) 5! x 5!
C) 4! x 5!	D) 3! x 4!

Answer & Explanation Answer: C) 4! x 5!

Explanation:

The word EDUCATION is a 9 letter word, with none of the letters repeating.

The vowels occupy 3rd,5th,7th and 8th position in the word and the remaining 5 positions are occupied by consonants

As the relative position of the vowels and consonants in any arrangement should remain the same as in the word EDUCATION, the vowels can occupy only the afore mentioned 4 places and the consonants can occupy1st,2nd,4th,6th and 9th positions.

The 4 vowels can be arranged in the 3rd,5th,7th and 8th position in 4! Ways.

Similarly, the 5 consonants can be arranged in1st,2nd,4th,6th and 9th position in5! Ways.

Hence, the total number of ways = 4! × 5!

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Filed Under: Permutations and Combinations

21 28796

Q:

What is the area of this trapezoidal garden? (All measurements are in cm)

A) 60 sq.cm	B) 180 sq.cm
C) 210 sq.cm	D) 240 sq.cm

Answer & Explanation Answer: D) 240 sq.cm

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

13 28794

Q:

A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years ?

A) 2 : 3 : 5	B) 3 : 4 : 7
C) 5 : 6 : 4	D) 1 : 3 : 5

Answer & Explanation Answer: B) 3 : 4 : 7

Explanation:

A : B : C = (40000 x 36) : (80000 x 12 + 40000 x 24) : (120000 x 24 + 40000 x 12)

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