6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

16 men and 12 women can complete a work in 20 days. 18 women can complete the same work in 40 days. In how many days will 12 men 27 women complete the same work?

A) 16 days	B) 18 days
C) 19 days	D) 21 days

Answer & Explanation Answer: A) 16 days

Explanation:

(16M + 12W) x 20 = 18W x 40

=> 2M = 3W

Then,
Convert all men into women

12M + 27W = 27 + 12 x 3/2W = 45W

Let number of days required be 'D'

=> 18 x 40 = 45 x D

=> D = 16 days.

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Filed Under: Time and Work
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12 12244

Q:

If $a^{2} + b^{2} = c^{2}$ , then $\frac{1}{l o g_{c + a} (b)} + \frac{1}{l o g_{c - a} (b)} = ?$

A) 1	B) 2
C) 4	D) 8

Answer & Explanation Answer: B) 2

Explanation:

Given $a^{2} + b^{2} = c^{2}$

Now $\frac{1}{\log_{c + a} (b)} + \frac{1}{\log_{c - a} (b)}$

= $\log_{b} (c + a) + \log_{b} (c - a)$

= $\log_{b} (c^{2} - a^{2})$

= $2 \log_{b} (b) = 2$

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Filed Under: Logarithms
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32 12244

Q:

Two solutions have milk & water in the ratio 7:5 and 6:11. Find the proportion in which these two solutions should Be mixed so that the resulting solution has 1 part milk and 2 parts water ?

A) 7 : 12	B) 8 : 13
C) 9 : 4	D) 2 : 5

Answer & Explanation Answer: B) 8 : 13

Explanation:

To get the solution that contains 1 part of milk and two parts of water,
they must be mixed in the ratio as
7x+6x/5y+11y = 1/2
26x = 16y
x/y = 16/26
x/y = 8/13

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Filed Under: Ratios and Proportions
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19 12231

Q:

A, B and C started a business where their initial capital was in the ratio of 2:3:4. At the end of 6 months, A invested an amount such that his total capital became equal to C's initial capital investment. If the annual profit of B is Rs. 3000 then what is the total profit ?

A) Rs. 8,640	B) Rs. 9,850
C) Rs. 10,000	D) Rs. 11,220

Answer & Explanation Answer: C) Rs. 10,000

Explanation:

Ratio of investments of A, B & C = 2×6+4×6 : 3×12 : 4×12

= 36 : 36 : 48

= 6 : 6 : 8

But given that the annual profit of B is Rs. 3000

=> 6 ratio = 3000

Then for the total annual profit of partners is

20 ratio = 3000 x 20/6 = 10,000.

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Filed Under: Partnership
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18 12200

Q:

The present worth of Rs.1404 due in two equal half-yearly instalments at 8% per annum. Simple interest is:

A) 1320	B) 1300
C) 1325	D) 1200

Answer & Explanation Answer: C) 1325

Explanation:

Required Sum = PW of Rs.702 due 6 months hence + PW of Rs.702 due 1 year hence

= Rs.[ (100 x 702) / (100+(8 x 1/2)) ] + [ (100 x 702) / (100+(8 x 1)) ]

= Rs.1325

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Filed Under: True Discount

10 12194

Q:

Arjun and Bhishma are running on a circular track of length 600m. Speed of Arjun is 30 m/s and that of Bhishma is 20 m/s .They start fro the same point at the same time in the same direction. When will they meet again for the first time?

Answer

Sol : $Time = \frac{Circumference}{Relative Speed} = \frac{600}{10} = 60 \sec .$

Actually Arjun has to make a lead of 600 m, because when Arjun will be 600m ahead of Bhishma, they will be together again as a person when completes the total length it starts retracing he same path and thus Arjun and Bhishma can be together again.

Since , they make a difference of 10 m in 1 second. so, he will create 600m difference in 60 second.

Workspace

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Subject: Time and Distance Exam Prep: AIEEE , Bank Exams , CAT
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14 12193

Q:

If the given two numbers are respectively 7% and 28% of a third number, then what percentage is the first of the second ?

A) 24%	B) 29%
C) 34%	D) 25%

Answer & Explanation Answer: D) 25%

Explanation:

Here, k = 7 and l = 28
Therefore, first number = $\frac{k}{l}$ x100 % of second number = 7/28 x 100% of second number = 25% of second number.

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Filed Under: Percentage
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12 12189

Q:

ITC sells one product at a profit of 20% another at a loss of 20% at the same selling price. What is the loss incurred by ITC?

A) 1%	B) 2%
C) 4%	D) 0%

Answer & Explanation Answer: C) 4%

Explanation:

loss % = ${(\frac{c o m m o n g a i n o r l o s s}{10})}^{2}$ %

= (20/10)x(20/10)% = 4%

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Filed Under: Profit and Loss
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18 12183

Quantitative Aptitude - Arithmetic Ability Questions

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