6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Ajay bought 15 kg of dal at the rate of Rs 14.50 per kg and 10 kg at the rate of Rs 13 per kg. He mixed the two and sold the mixture at the rate of Rs 15 per kg. What was his total gain in this transaction ?

A) Rs 1.10	B) Rs 11
C) Rs 16.50	D) Rs 27.50

Answer & Explanation Answer: D) Rs 27.50

Explanation:

Cost price of 25 kg = Rs. (15 x 14.50 + 10 x 13) = Rs. 347.50.
Sell price of 25 kg = Rs. (25 x 15) = Rs. 375.
profit = Rs. (375 — 347.50) = Rs. 27.50.

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Filed Under: Profit and Loss

49 25026

Q:

A is twice efficient as B and together they do the same work in as much time as C and D together. If C and D can complete the work in 20 and 30 daysrespectively, working alone ,then in how many days A can complete the work individually:

A) 12 days	B) 18 days
C) 24 days	D) 30 days

Answer & Explanation Answer: B) 18 days

Explanation:

A + B = C + D

| | | |

Ratio of efficiency 10x + 5x 9x + 6x

|________| |_________|

15x 15x

Therefore , ratio of efficiency of A:C =10:9

Therefore, ratio of days taken by A:C = 9:10

Therefore, number of days taken by A = 18 days

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Filed Under: Time and Work

54 25005

Q:

Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is:

A) 9	B) 9.6
C) 10	D) 10.8

Answer & Explanation Answer: D) 10.8

Explanation:

Relative speed = (60 + 40) km/hr =[ 100 x ( 5 / 18 ) ]m/sec = ( 250 /9 ) m/sec.
Distance covered in crossing each other = (140 + 160) m = 300 m.
Required time = [ 300 x ( 9/250 ) ] sec = ( 54/ 5 )sec = 10.8 sec.

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Filed Under: Problems on Trains

25 24912

Q:

In the 75 litres of mixture of milk and water, the ratio of milk and water is 4:1. The quantity of water required to make the ratio of milk and water 3:1 is

A) 1 litre	B) 3 litres
C) 4 litres	D) 5 litres

Answer & Explanation Answer: D) 5 litres

Explanation:

Total quantity of mixture = 75 litre

Milk : Water = 4 : 1

3 : 1

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Filed Under: Alligation or Mixture

50 24912

Q:

A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:

A) 50 m	B) 150 m
C) 200 m	D) data inadequate

Answer & Explanation Answer: B) 150 m

Explanation:

Let the length of the train be x metres and its speed be y m/sec.
Then, (x/y)= 15 $\Rightarrow$ y =(x/15)

(x+100)/25 = x/15

=> 15(x + 100) = 25x

=> 15x + 1500 = 25x

=> 1500 = 10x

=> x = 150 m.

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Filed Under: Problems on Trains

39 24911

Q:

∆DEF is right angled at E. If m∠F = 45°, then find the value of (tanD - √3/2).

A) -√3/2	B) -1/2√3
C) (2-√3)/2	D) (3√3-1)/3

Answer & Explanation Answer: C) (2-√3)/2

Explanation:

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

0 24887

Q:

A sum of Rs. 12,500 amounts to Rs. 15,500 in 4 years at the rate of simple interest. What is the rate of interest

A) 3%	B) 4%
C) 5%	D) 6%

Answer & Explanation Answer: D) 6%

Explanation:

S.I. = Rs. (15500 - 12500) = Rs. 3000.

Rate = $(\frac{100 * 3000}{12500 * 4})$ % = 6%

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Filed Under: Simple Interest
Exam Prep: GRE

20 24806

Q:

If (7x+5) deg and (x+5) deg are complementary angles, then find the value of x.

A) 10	B) 20
C) 30	D) 40

Quantitative Aptitude - Arithmetic Ability Questions

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