6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

There are several peacocks and deers in a cage (with no other types of animals). There are 72 heads and 200 feet inside the cage. How many peacocks are there, and how many deers ?

A) 42 & 24	B) 38 & 26
C) 36 & 24	D) 44 & 28

Answer & Explanation Answer: D) 44 & 28

Explanation:

Let
x = peacocks
y = deers

2x + 4y = 200
x + y = 72
y = 72 - x
2x + 288 - 4x = 200
x = 44 peacocks
y = 28 deers

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Filed Under: Numbers
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5 4547

Q:

Jason decides to borrow money for a holiday. If a personal loan is taken over 4 years with equal quarterly repayments at 12% p.a. flat rate (simple interest), calculate the effective rate of interest.

A) 22,588	B) 32.588
C) 42.588	D) 43.588

Answer & Explanation Answer: A) 22,588

Explanation:

Flat rate = 12%
n = 4 × 4
= 16

Effective rate =2n/(n+1) × flat rate

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Filed Under: Simple Interest
Exam Prep: Bank Exams
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1 4544

Q:

A steamer moves with a speed of 4.5 km/h in still water to a certain upstream point and comes back to the starting point in a river which flows at 1.5 km/h. The average speed of steamer for the total journey is

A) 12 km/h	B) 10 km/h
C) 6 km/h	D) 4 km/h

Answer & Explanation Answer: D) 4 km/h

Explanation:

Speed of streamer = 4.5 km/hrSpeed of water = 1.5 km/hr

Downstream speed = 4.5+1.5 = 6 km/hr

Upstream speed = 4.5 -1.5 = 3 km/hr

Average Speed = (6 X 3) / 4.5 = 4km/hr

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Filed Under: Boats and Streams
Exam Prep: Bank Exams

11 4535

Q:

Three athletes can complete one round around a circular field in 16, 24 and 36 min respectively. They start running together at same instant then after how much time they will meet to each other for first time ?

A) 2 hrs 24 min	B) 2 hrs 44 min
C) 1 hrs 24 min	D) 1 hrs 24 min

Answer & Explanation Answer: A) 2 hrs 24 min

Explanation:

Given that three athletes can complete one round around a circular field in 16, 24 and 36 min respectively.

Now, required time after which they met for the first time = LCM of (16, 24 & 36) min

Now, LCM of 16, 24, 36 = 144 minutes = 2 hrs 24 min.

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Filed Under: Time and Work
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15 4531

Q:

From a group of 7 boys and 6 girls, five persons are to be selected to form a team, so that at least 3 girls are there in the team. In how many ways can it be done?

A) 427	B) 531
C) 651	D) 714

Answer & Explanation Answer: B) 531

Explanation:

Given in the question that, there are 7 boys and 6 girls.

Team members = 5

Now, required number of ways in which a team of 5 having atleast 3 girls in the team =

$(6 C_{3} x 7 C_{2}) + (6 C_{4} x 7 C_{1}) + (6 C_{5}) = [\frac{6 x 5 x 4}{3 x 2 x 1} x \frac{7 x 6}{2 x 1}] + [\frac{6 x 5 x 4 x 3}{4 x 3 x 2 x 1} x 7] + [\frac{6 x 5 x 4 x 3 x 2}{5 x 4 x 3 x 2 x 1}] = 420 + 105 + 6 = 531 .$

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Filed Under: Permutations and Combinations
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5 4526

Q:

If 1st January 2013 was Tuesday, then what day of the week will be 31st December 2013?

A) Wednesday	B) Thursday
C) Tuesday	D) Monday

Answer & Explanation Answer: C) Tuesday

Explanation:

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Filed Under: Calendar
Exam Prep: Bank Exams

10 4516

Q:

A class consists of both boys and girls along with a teacher. After a class, the teacher drinks 9 litres of water, a boy drinks 7 litres of water and a girl drinks 4 litres of water. If after a class 42 litres of water was consumed, find the number of girls in the class ?

A) 8	B) 6
C) 5	D) 3

Answer & Explanation Answer: D) 3

Explanation:

Given teacher drinks 9 ltr
Let number of boys be 'A'.
Let number of girls be 'B'.
Boy drinks 7 ltr and girl drinks 4 ltr
After class total water consumed = 42 ltr
Then,
9 + 7A + 4B = 42
=> 7A + 4B = 33
By trial and error method,
The only integers which satisfy the equation is A = 3 and B = 3
Therefore, number of girls in the class = 3.

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Filed Under: Simplification
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6 4514

Q:

3.2% of 500 × 2. 4% of ? = 312

A) 812.5	B) 829.75
C) 749.85	D) 799.5

Answer & Explanation Answer: A) 812.5

Explanation:

$Given 3.2 % of 500 \times 2 . 4 % of ? = 312 Then, 3.2 x \frac{500}{100} x 2.4 x \frac{?}{100} = 312 16 x \frac{2.4 x ?}{100} = 312 \frac{9.6 x ?}{25} = 312 9.6 x ? = 7800 ? = \frac{7800}{9.6} ? = 812.5$

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Filed Under: Percentage
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7 4504

Quantitative Aptitude - Arithmetic Ability Questions

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