6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The perimeter of a rectangle whose length is 6 m more than its breadth is 84 m. What will be the area of the rectangle?

A) 333 sq.mts	B) 330 sq.mts
C) 362 sq.mts	D) 432 sq.mts

Answer & Explanation Answer: D) 432 sq.mts

Explanation:

Let the breadth of the rectangle = b mts

Then Length of the rectangle = b + 6 mts

Given perimeter = 84 mts

2(L + B) = 84 mts

2(b+6 + b) = 84

2(2b + 6) = 84

4b + 12 = 84

4b = 84 - 12

4b = 72

b = 18 mts

=> Length = b + 6 = 18 + 6 = 24 mts

Now, required Area of the rectangle = L x B = 24 x 18 = 432 sq. mts

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20 3675

Q:

How many prime numbers exist in $6^{5} \times 35^{9} \times 11^{3}$ ?

A) 29	B) 31
C) 33	D) 27

Answer & Explanation Answer: B) 31

Explanation:

Given $6^{5} \times 35^{9} \times 11^{3}$

$\Rightarrow {(2 \times 3)}^{5} \times {(5 \times 7)}^{9} \times 11^{3}$

$\Rightarrow 2^{5} \times 3^{5} \times 5^{9} \times 7^{9} \times 11^{3}$

Thus, there are (5 + 5 + 9 + 9 + 3)= 31 prime numbers.

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Filed Under: Numbers
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5 3673

Q:

A, B and C together can finish a task in 12 days. A is twice as productive as B and C alone can do the task in 36 days. In how many days can A and B do the task if C goes on leave?

A) 10	B) 20
C) 15	D) 18

Answer & Explanation Answer: D) 18

Explanation:

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Filed Under: Time and Work
Exam Prep: Bank Exams

3 3670

Q:

Aarush's birthday is on Thursday 27th April. On what day of the week will be Mitul's Birthday in the same year if Mitul was born on 28th September?

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

Answer & Explanation Answer: B) Thursday

Explanation:

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Filed Under: Calendar
Exam Prep: Bank Exams

15 3666

Q:

Agra and Delhi are 160 km apart. A train leaves Agra for Delhi and at the same time another train leaves Delhi for Agra. Both the trains meet 5 hrs after they start moving. If the train travelling from Agra to Delhi travels 6 km/hr faster than the other train, find the speed of the faster train?

A) 19 kmph	B) 13 kmph
C) 7 kmph	D) 9 kmph

Answer & Explanation Answer: A) 19 kmph

Explanation:

Let the speed of the slower train = p kmph

ATQ,

Speed of the faster train = (p + 6) kmph

Then,

(p + p + 6) x 5 = 160

10p + 30 = 160

10p = 130

p = 13 kmph

Then, speed of the faster train = p + 6 = 13 + 6 = 19 kmph.

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Filed Under: Problems on Trains
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8 3665

Q:

A motorboat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the motorboat and speed of the water current respectively?

A) 3:7	B) 7:9
C) 5:4	D) 8:3

Answer & Explanation Answer: D) 8:3

Explanation:

Let the man's rate upstream be x kmph and that downstream be y kmph.

Then, distance covered upstream in 8 hrs 48 min = Distance covered downstream in 4 hrs.

		x x 8	4		= (y x 4)
			5

	44	x =4y
	5

y =	11	x.
	5

Required ratio =		y + x		:		y - x
		2				2

=		16x	x	1		:		6x	x	1
		5		2				5		2

=	8	:	3
	5		5

= 8 : 3.

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Filed Under: Boats and Streams
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16 3662

Q:

In the given number series which follows the definite rules then find out the value of (M, N, O, and P) in second number series.

7 18 42 94 204

4 M N O P

What value will come in place of P?

A) 179	B) 184
C) 164	D) 156

Answer & Explanation Answer: D) 156

Explanation:

Here the given series 7 18 42 94 204 follows a pattern that,

7

7 ×2+4 = 18

18 ×2+6 = 42

42 ×2+10 = 94

94 ×2+16 = 204

Similarly,

4

4 ×2+4 = 12

12 ×2+6 = 30

30 ×2+10 = 70

70 ×2+16 = 156

Hence, the value of P = 156.

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Filed Under: Odd Man Out
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8 3661

Q:

Aarav's birthday is on Sunday, 12th March . On what day of the week will be Madhup's Birthday in the same year if Madhup was born on 10th August?

A) Thursday	B) Wednesday
C) Friday	D) Saturday

Quantitative Aptitude - Arithmetic Ability Questions

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