6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Rice worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, then the price of third variety of rice per kg?

A) Rs. 571.25	B) Rs. 175.5
C) Rs. 751.75	D) Rs. 850

Answer & Explanation Answer: B) Rs. 175.5

Explanation:

Let the price of required variety = Rs. P/kg

Then, respective amounts were m kg, m kg and 2m kg

= 126m + 135m + 2pm = 153 x 4m

=> 2p = 351

p = 175.5 / kg

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Filed Under: Ratios and Proportions
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37 7049

Q:

Which value is equal to 5% of 1,500?

A) 35	B) 55
C) 75	D) 45

Answer & Explanation Answer: C) 75

Explanation:

In the question it is asked for 5% of 1500

5 x 1500/100 = 15 x 5 = 75.

Hence, 5% of 1,500 is equal to 75.

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Filed Under: Percentage
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10 7045

Q:

Raju sold an article by giving a discount of 8% for Rs. 17,940 and earn profit of 19.6 %. If he did not give discount then how much profit percentage he gets ?

A) 27%	B) 30%
C) 32%	D) 25%

Answer & Explanation Answer: B) 30%

Explanation:

Let the M.R.P of an article be 100 %

Selling price of article =Rs. 17940

If he give a discount of 8 % then S.P = 92 %

92 % = 17490

100 % = 19500

Now C.P of the article is

17490 x 100/119.6 = 15000

If he did not give the discount, then

Required profit percentage =

SSC Quiz : Quantitative Aptitude | 03 - 08 - 17

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Filed Under: Profit and Loss
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15 7045

Q:

Find the area of a square, one of whose diagonals is 3.8 m long.

A) 4.22 sq.m	B) 5.22 sq.m
C) 6.22 sq.m	D) 7.22 sq.m

Answer & Explanation Answer: D) 7.22 sq.m

Explanation:

Area of the square = $\frac{1}{2} \times {(d i a g o n a l)}^{2}$ = 1/2 * 3.8 * 3.8 = 7.22 sq.m

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Filed Under: Volume and Surface Area
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2 7040

Q:

One card is drawn from a pack of 52 cards , each of the 52 cards being equally likely to be drawn. Find the probability that the card drawn is neither a spade nor a king.

A) 0	B) 9/13
C) 1/2	D) 4/13

Answer & Explanation Answer: B) 9/13

Explanation:

There are 13 spades ( including one king). Besides there are 3 more kings in remaining 3 suits

Thus n(E) = 13 + 3 = 16

Hence $n (\bar{E}) = 52 - 16 = 36$

Therefore, $P (E) = \frac{36}{52} = \frac{9}{13}$

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Filed Under: Probability

6 7039

Q:

A can do a work in 9 days, B can do a work in 7 days, C can do a work in 5 days. A works on the first day, B works on the second day and C on the third day respectively that is they work on alternate days. When will they finish the work ?

A) [7 + (215/345)] days	B) [6 + (11/215)] days
C) [6 + (261/315)] days	D) [5 + (112/351)] days

Answer & Explanation Answer: C) [6 + (261/315)] days

Explanation:

After day 1, A finishes 1/9 of the work.

After day 2, B finishes 1/7 more of the total work. (1/9) + (1/7) is finished.

After day 3, C finishes 1/5 more of total work. Total finished is 143/315.

So, after day 6, total work finished is 286/315.

Now remaining work = 29 /315

On day 7, A will work again

Work will be completed on day 7 when A is working. He must finish 29/315 of total remaining work.

Since he takes 9 days to finish the total task, he will need 261/315 of the day.

Total days required is 6 + (261/315) days.

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Filed Under: Time and Work
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6 7033

Q:

There are 209 doctors and nurses in a hospital. If the ratio of the doctors to the nurses is 11 : 8, then how many nurses are there in the hospital?

A) 88	B) 96
C) 108	D) 121

Answer & Explanation Answer: A) 88

Explanation:

Given,
The ratio of the doctors to the nurses is 11 : 8
Number of nurses = 8/19 x 209 = 88.

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Filed Under: Ratios and Proportions
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4 7031

Q:

The profit earned by selling an article for Rs.753 is equal to the loss incurred when the same article is sold for Rs.455.What should be the sale price for making 50% profit ?

A) Rs.855	B) Rs.955
C) Rs.906	D) Rs.896

Answer & Explanation Answer: C) Rs.906

Explanation:

Let C.P =Rs. x

Then as given, (753 - x ) = (x - 455)

=>2x = 1208 => x = 604

There fore S.P= 150% of 604 => Rs. $\frac{150}{100} \times 604$ = Rs.906

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Filed Under: Profit and Loss
Exam Prep: CAT
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14 7030

Quantitative Aptitude - Arithmetic Ability Questions

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