6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Arzoo was born on 25th January 2015, while Aastha was born 554 days later. On which date was Aastha born?

A) 2nd August 2016	B) 31st July 2016
C) 1st August 2016	D) 3rd August 2016

Answer & Explanation Answer: C) 1st August 2016

Explanation:

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Filed Under: Calendar
Exam Prep: Bank Exams

79 9797

Q:

$17 \frac{4}{7} + 13 \frac{2}{12} - ? = 11 \frac{2}{3}$

A) 16	B) 17
C) 18	D) 19

Answer & Explanation Answer: D) 19

Explanation:

$17 \frac{4}{7} + 13 \frac{2}{12} - ? = 11 \frac{2}{3}$

$\frac{123}{7} + \frac{158}{12} - ? = \frac{35}{3}$

=> $? = \frac{123}{7} + \frac{158}{12} - \frac{35}{3}$

=> ? = $\frac{1476 + 1106 - 980}{84}$

=> ? = 19.07

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Filed Under: Simplification
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13 9796

Q:

Selling an article at a profit of 20%, Aman gets Rs. 400 more than selling at a loss of 20%. The cost price of the article is ?

A) Rs.1000	B) Rs. 1020
C) Rs.1210	D) Rs.1140

Answer & Explanation Answer: A) Rs.1000

Explanation:

Cost price of the article is given by

= 400x100/(20+20)

= Rs.1000

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Filed Under: Profit and Loss
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21 9792

Q:

88 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be ?

A) 112 mts	B) 84 mts
C) 96 mts	D) 108 mts

Answer & Explanation Answer: B) 84 mts

Explanation:

Vol of silver = ${πR}^{2} h$ = 66 C.C

Given D= 1mm => R = D/2 = 1/20 cm

=> $\frac{22}{7} \times {(\frac{1}{20})}^{2} \times h$ = 66

= 66 x 400 x (7/22) = 8400 cm = 84 mtrs.

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Filed Under: Volume and Surface Area
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11 9785

Q:

K can build a wall in 30 days. L can demolish that wall in 60 days. If K and L work on alternate days, when will the wall be completed ?

A) 120 days	B) 119 days
C) 118 days	D) 117 days

Answer & Explanation Answer: D) 117 days

Explanation:

K's work in a day(1st day) = 1/30
L's work in a day(2nd day)= -1/60(demolishing)
hence in 2 days, combined work= 1/30 - 1/60 =1/60
since both works alternatively, K will work in odd days and L will work in even days.
1/60 unit work is done in 2 days
58/60 unit work will be done in 2 x 58 days = 116 days
Remaining work = 1-58/60 = 1/30
Next day, it will be K's turn and K will finish the remaining 1/30 work.
hence total days = 116 + 1 = 117.

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Filed Under: Time and Work
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13 9763

Q:

A jogger is running at 9 kmph alongside a railway track is 240 meters ahead of the engine of a 120 meters long train running at 45 kmph in the same direction. In how much time will the train pass the jogger ?

A) 48 sec	B) 36 sec
C) 18 sec	D) 72 sec

Answer & Explanation Answer: B) 36 sec

Explanation:

Speed of the train relative to jogger = (45-9) km/hr = 36 km/hr =(36*5/18) m/sec = 10 m/sec

Distance to be covered =(240 + 120)m = 360 m

$\therefore$ Time taken = 360/10 sec = 36 sec

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Filed Under: Problems on Trains

11 9762

Q:

When Raj Tarun was born, his father was 32 years older than his brother and his mother was 25 years older than his sister. If Raj Tarun's brother is 6 years older than Raj Tarun and his mother is 3 years younger than his father, how old was Raj Tarun's sister when Raj Tarun was born ?

A) 5	B) 10
C) 15	D) 8

Answer & Explanation Answer: B) 10

Explanation:

Raj Tarun's age = 0 when he was born.
Then, given his brother is 6 years old.
Then his father is 6 + 32 = 38 when Raj Tarun was born
And his mother is 3 years yonger than his father => so his mother was 35 years old when Raj Tarun was born
and his sister is 25 year younger than his mother
so Raj Tarun's sister was 10 years old when Raj Tarun was born.

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Filed Under: Problems on Ages
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12 9757

Q:

The value of a machine depreciates at the rate of 10% every year. It was purchased 3 years ago. If its present value is Rs. 8,748, its purchase price was ?

A) Rs.14,000	B) Rs.12,000
C) Rs. 12,800	D) Rs. 15,000

Answer & Explanation Answer: B) Rs.12,000

Explanation:

We have P = 8748, R = -10 and n = 3
Therefore, the purchase price of the machine
= $\frac{P}{{(1 + \frac{R}{100})}^{n}}$ = $\frac{8748}{{(1 - \frac{10}{100})}^{3}}$
= 8748 x (100/90) x (100/90) x (100/90)
= 12,000.

Therefore, the purchase price of the machine was Rs. 12,000.

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Filed Under: Percentage
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7 9755

Quantitative Aptitude - Arithmetic Ability Questions

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