6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Simplify and find '?'

$48 \sqrt{?} + 32 \sqrt{?} = 320$

A) 4	B) 8
C) 16	D) 32

Answer & Explanation Answer: C) 16

Explanation:

given

$48 \sqrt{?} + 32 \sqrt{?} = 320$

=> $6 \sqrt{?} + 4 \sqrt{?} = 40$

Now squaring on both sides

=> $36 x ? + 16 x ? + 48 x ? = 1600$

=> 100 x ? = 1600

=> ? = 16

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

15 80851

Q:

3125 256 ? 4 1

Which number replaces the "?" in the question?

A) 27	B) 128
C) 32	D) 64

Answer & Explanation Answer: A) 27

Explanation:

In the given series numbers are arranged following the rule,

$5^{5}, 4^{4}, 3^{3}, 2^{2}, 1^{1}$

Therefore, the missing number is 27.

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Filed Under: Odd Man Out
Exam Prep: CAT
Job Role: Bank PO

18 79797

Q:

If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to:

A) 55/601	B) 601/55
C) 11/120	D) 120/11

Answer & Explanation Answer: C) 11/120

Explanation:

Let the numbers be a and b.

Then, a + b = 55 and ab = 5 x 120 = 600.

The required sum = $\frac{1}{a} + \frac{1}{b}$ = $\frac{a + b}{a b}$ = $\frac{55}{600}$ = $\frac{11}{120}$

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Filed Under: HCF and LCM

134 79716

Q:

Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?

A) 10 min. 20 sec.	B) 11 min. 45 sec.
C) 12 min. 30 sec.	D) 14 min. 40 sec.

Answer & Explanation Answer: D) 14 min. 40 sec.

Explanation:

Part filled in 4 minutes =4(1/15+1/20) = 7/15

Remaining part =(1-7/15) = 8/15

Part filled by B in 1 minute =1/20 : 8/15 :: 1:x

x = (8/15*1*20) = $10 \frac{2}{3} m i n = 10 m i n 40 s e c$

The tank will be full in (4 min. + 10 min. + 40 sec.) = 14 min. 40 sec

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Filed Under: Pipes and Cistern

194 79691

Q:

Solve the following:

22 - (1/4){-5 - (-48) $\div$ (-16)}

A) 0	B) 24
C) 22	D) 21

Answer & Explanation Answer: B) 24

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

1 79300

Q:

Insert the missing number.

3, 7, 6, 5, 9, 3, 12, 1, 15, (....)

A) 18	B) 13
C) -1	D) 3

Answer & Explanation Answer: C) -1

Explanation:

There are two series, beginning respectively with 3 and 7. In one 3 is added and in another 2 is subtracted.

The next number is 1 - 2 = -1.

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Filed Under: Odd Man Out

73 79280

Q:

A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?

A) Rs. 45	B) Rs. 50
C) Rs. 55	D) Rs. 60

Answer & Explanation Answer: A) Rs. 45

Explanation:

A:B:C = (10×7):(12×5):(15×3)

= 70 :60 :45

= 14 :12 :9

C's rent = Rs.(175×9/35)

=Rs. 45.

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Filed Under: Partnership

60 79245

Q:

By selling 45 lemons for Rs 40, a man loses 20%. How many should he sell for Rs 24 to gain 20% in the transaction ?

A) 16	B) 18
C) 20	D) 22

Answer & Explanation Answer: B) 18

Explanation:

Let S.P. of 45 lemons be Rs. x.

Then, 80 : 40 = 120 : x or x = $\frac{40 \times 120}{80}$ = 60

For Rs.60, lemons sold = 45

For Rs.24, lemons sold = $\frac{45}{60} \times 24$ = 18.

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Filed Under: Profit and Loss

781 78759

Quantitative Aptitude - Arithmetic Ability Questions

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