6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A retailer cheats his wholesaler and customer both. He purchases 19% more from the wholesaler and sells 15% less while selling to its customer. What is profit percentage by selling the goods at cost price?

A) 35%	B) 40%
C) 42%	D) 46%

Answer & Explanation Answer: B) 40%

Explanation:

Tota profit percentage = (119 x 100/85) - 100 = 3400/85 = 40%

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35 8552

Q:

If 25% of three-seventh of 26% of a number is 145.5, what is the number?

A) 4987	B) 5784
C) 5223	D) 4741

Answer & Explanation Answer: C) 5223

Explanation:

Given,

25% of three-seventh of 26% of a number is 145.5

Let the required number be 'N'

i.e, $\frac{25}{100} x \frac{3}{7} x (\frac{26}{100} x N) = 145.5$

N = $\frac{145.5 x 7 x 10000}{75 x 26}$

=> N = 5223.07

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Filed Under: Percentage
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9 8551

Q:

A room is 15 feet long and 12 feet broad. A mat has to be placed on the floor of the room leaving 1.5 feet space from the walls. What will be the cost of the mat at the rate of Rs. 3.50 per squire feet?

A) 378	B) 472.5
C) 496	D) 630

Answer & Explanation Answer: A) 378

Explanation:

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Filed Under: Area
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25 8525

Q:

If $\log_{x} (\frac{9}{16}) = - \frac{1}{2}, t h e n t h e v a l u e o f x ?$

A) -3/4	B) 3/4
C) 81/256	D) 256/81

Answer & Explanation Answer: D) 256/81

Explanation:

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Filed Under: Logarithms
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88 8523

Q:

P and Q can do a work in 4 hours and 12 hours respectively. P starts the work at 9am and they work alternately for one hour each. When will the work be completed ?

A) 3 am	B) 12 pm
C) 1 pm	D) 3 pm

Answer & Explanation Answer: D) 3 pm

Explanation:

Work done by P and Q in the first two hours, working alternately

= First hour P + Second hour Q

$\Rightarrow \frac{1}{4} + \frac{1}{12} = \frac{1}{3}$

work is completed in 2 hours

Then, the total time required to complete the work by P and Q working alternately=2 x 3= 6hours

Thus, work will be completed at 3pm.

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Filed Under: Time and Work
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10 8522

Q:

In a college, number of boys is 75% of number of girls. Difference between boys and girls is 35. On a particular day 20% boys were absent, then find the number of boys those who present?

A) 72	B) 84
C) 93	D) 81

Answer & Explanation Answer: B) 84

Explanation:

Ratio of girls and boys = 100% : 75% = 4:3

Difference is 1 unit = 35

So, 3 units = 35 x 3 = 105

If 20% absent, that’s mean 80% present.

So, present boys = 80% of 105 = $\frac{80 \times 105}{100} = 84$

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18 8522

Q:

In a mens hostel, there were 95 students. To accommodate 30 more students the average is decreased by rupees 5. But total expenditure increased by Rs.500. Find the total expenditure of the hostel now ?

A) Rs. 4680	B) Rs. 4420
C) Rs. 4960	D) Rs. 5480

Answer & Explanation Answer: A) Rs. 4680

Explanation:

Let the expenditure on the 95 students be 'x'

Then,

95x + 500 = 120(x – 5)
95x + 500 = 120x - 600
120x - 95x = 1100
25x = 1100
=> x = 44

Therefore, total expenditure of the hostel becomes
95 x 44 + 500 = 4680.

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Filed Under: Average
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18 8520

Q:

Raghu can complete a work in 12days working 9 hours a day. Arun can complete the same work in 8 days working 11 hours a day. If both Raghu and Arun work together, working 12 hours a day, in how many days can they complete the work ?

A) $3 \frac{4}{49} d a y s$

B) $12 \frac{4}{49} d a y s$

C) $4 \frac{3}{49} d a y s$

D) $4 \frac{12}{49} d a y s$

A) Option A	B) Option B
C) Option C	D) Option D

Answer & Explanation Answer: C) Option C

Explanation:

Raghu can complete the work in (12 x 9)hrs = 108 hrs.

Arun can complete the work in (8 x 11)hrs = 88 hrs.

Raghu's 1 hrs work = 1/108 and Arun's 1 hrs work = 1/88

(Raghu + Arun)'s 1 hrs work = $(\frac{1}{108} + \frac{1}{88}) = \frac{49}{2376}$

So, both Raghu and Arun will finish the work in $\frac{2376}{49} h r s$

Number of days of 12 hours each= $(\frac{2376}{49} \times \frac{1}{12})$ = $\frac{198}{49} = 4 \frac{3}{49} d a y s$

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Filed Under: Time and Work
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6 8509

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