6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Twenty men can do a work in eighteen days. Eighteen women can complete the same work in fifteen days. What is the ratio between the capacity of a woman and a man ?

A) 4:5	B) 3:4
C) 4:3	D) 2:3

Answer & Explanation Answer: C) 4:3

Explanation:

(20 x 18) men can complete the work in in one day.

one man's one day work = 1/360

(18 x 15) women can complete the work in 1 day

1 woman's one day work = 1/270

So, required ratio = $\frac{1}{270} : \frac{1}{360}$ = 4:3

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Filed Under: Time and Work
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13 9600

Q:

If 12 men can reap 120 acres of land in 36 days, how many acres of land can 54 men reap in 54 days?

A) 710 acres	B) 760 acres
C) 810 acres	D) 860 acres

Answer & Explanation Answer: C) 810 acres

Explanation:

$\begin{matrix} 12 m e n & 120 a c r e s & 36 d a y s \\ 54 m e n & ? & 54 d a y s \end{matrix}$

As 12 men can reap 120 acres, 54 men will be able to reap more acres in 36 days, 120 acres of land was reaped, so in 54 days, more land will be reaped.

Thus, the numbers of acres that can be reaped by 54 men in 54 days = $\frac{54}{12} x 120 x \frac{54}{36}$ = 810 acres

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Filed Under: Ratios and Proportions
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19 9597

Q:

Pooja, Shipra and Mounika are three sisters .Pooja and Shipra are twins. The ratio of sum of the ages of Pooja and Shipra is same as that of Mounika alone. Three years earlier the ratio of age of Pooja and Mounika was 2:7 . what will be the age of Shipra 3 years hence?

A) 21 years	B) 16 years
C) 8 years	D) 12 years

Answer & Explanation Answer: C) 8 years

Explanation:

Since Pooja and Shipra are twins so their ages be same. Let their ages be x and age of Mounika be y , then

x+x = y -------(1)

and $\frac{x - 3}{y - 3} = \frac{2}{7} \Rightarrow 7 x - 2 y = 15$

Now, from equation (1),

7x - 4x = 15 => x = 5

So the age of Shipra 3 years hence will be 5+3 = 8 years

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Filed Under: Ratios and Proportions

12 9590

Q:

A certain amount is divided among P, Q and R in the ratio of 3 : 7 : 6 respectively. If the difference between share of P and Q is Rs. 2700, what is R's share?

A) Rs. 4050	B) Rs. 2121
C) Rs. 5040	D) Rs. 3550

Answer & Explanation Answer: A) Rs. 4050

Explanation:

Let the ratio amount be 'p'

7p - 3p = 2700

4p = 2700

p = 675

R's Share = 675 × 6 = Rs. 4050

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Filed Under: Partnership
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14 9588

Q:

How many minutes does a watch lose per day, if its hands coincide every 64 minutes ?

A) 36 7/9 min	B) 32 8/11 min
C) 34 3/11 min	D) 65 5/11 min

Answer & Explanation Answer: B) 32 8/11 min

Explanation:

55 min. spaces are covered in 60 min.

60 min. spaces are covered in $open parentheses 60 over 55 cross times 60 close parentheses$ min. = $65 5 over 11$ min.

Loss in 64 min. = $open parentheses 65 5 over 11 minus 64 close parentheses equals 16 over 11$ min.

Loss in 24 hrs = $open parentheses 16 over 11 cross times 1 over 64 cross times 24 cross times 60 close parentheses$ min. = $32 8 over 11$ min.

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Filed Under: Clocks
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36 9587

Q:

The length of a class room floor exceeds its breadth by 25 m. The area of the floor remains unchanged when the length is decreased by 10 m but the breadth is increased by 8 m. The area of the floor is

A) 5100 sq.m	B) 4870 sq.m
C) 4987 sq.m	D) 4442 sq.m

Answer & Explanation Answer: A) 5100 sq.m

Explanation:

Let the breadth of floor be 'b' m.

Then, length of the floor is 'l = (b + 25)'

Area of the rectangular floor = l x b = (b + 25) × b

According to the question,

(b + 15) (b + 8) = (b + 25) × b

$b^{2} + 8 b + 15 b + 120 = b^{2} + 25 b$

2b = 120

b = 60 m.

l = b + 25 = 60 + 25 = 85 m.

Area of the floor = 85 × 60 = 5100 sq.m.

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Filed Under: Area
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37 9577

Q:

Three taps I, J and K can fill a tank in 20,30and 40 minutes respectively. All the taps are opened simultaneously and after 5 minutes tap A was closed and then after 6 minutes tab B was closed .At the moment a leak developed which can empty the full tank in 70 minutes. What is the total time taken for the completely full ?

A) 24.315 minutes	B) 26.166 minutes
C) 22.154 minutes	D) 24 minutes

Answer & Explanation Answer: B) 26.166 minutes

Explanation:

Upto first 5 minutes I, J and K will fill => 5[(1/20)+(1/30)+(1/40)] = 65/120

For next 6 minutes, J and K will fill => 6[(1/30)+(1/40)] = 42/120

So tank filled upto first 11 minutes = (65/120) + (42/120) = 107/120
So remaining tank = 13/120

Now at the moment filling with C and leakage @ 1/60 per minute= (1/40) - (1/70) = 3/280.
So time taken to fill remaining 13/120 tank =(13/120) /(3/280) = 91/6 minutes

Hence total time taken to completely fill the tank = 5 + 6 + 91/6 = 26.16 minutes.

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Filed Under: Pipes and Cistern
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13 9575

Q:

The number of permutations of the letters of the word 'MESMERISE' is ?

A) 9!/(2!)^{2}x3!	B) 9! x 2! x 3!
C) 0	D) None

Answer & Explanation Answer: A) 9!/(2!)^{2}x3!

Explanation:

n items of which p are alike of one kind, q alike of the other, r alike of another kind and the remaining are distinct can be arranged in a row in n!/p!q!r! ways.
The letter pattern 'MESMERISE' consists of 10 letters of which there are 2M's, 3E's, 2S's and 1I and 1R.
Number of arrangements = $\frac{9!}{(2!)^{2} \times 3!}$

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Filed Under: Permutations and Combinations
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3 9572

Quantitative Aptitude - Arithmetic Ability Questions

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