6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ 26.50 per metre is Rs. 5300, what is the length of the plot in metres?

A) 40	B) 120
C) 50	D) None of these

Answer & Explanation Answer: D) None of these

Explanation:

Let breadth = x metres.

Then, length = (x + 20) metres.

Perimeter = 5300 m = 200 m. 26.50

2[(x + 20) + x] = 200

2x + 20 = 100

2x = 80

x = 40.

Hence, length = x + 20 = 60 m.

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Filed Under: Volume and Surface Area

1 4054

Q:

A and B invest in a business in the ratio 4 : 5. After 10 months B leaves the business after withdrawing his investment. In the first year the business made a profit of Rs 49,000. What is B's share (in Rs) of this profit?

A) 25000	B) 20000
C) 18000	D) 22000

Answer & Explanation Answer: A) 25000

Explanation:

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Filed Under: Partnership
Exam Prep: Bank Exams

3 4050

Q:

The difference between simple interest and compound interest of a certain sum of money at 20% per annum for 2 years is Rs. 56. Then the sum is :

A) Rs. 3680	B) Rs. 2650
C) Rs. 1400	D) Rs. 1170

Answer & Explanation Answer: C) Rs. 1400

Explanation:

We know thatThe Difference between Compound Interest and Simple Interest for n years at R rate of interest is given by $C . I_{n} - S . I_{n} = P {[\frac{R}{100}]}^{n}$

Here n = 2 years, R = 20%, C.I - S.I = 56

$56 = P {[\frac{20}{100}]}^{2} = > P = 56 x {(5)}^{2} = > P = 56 x 25 = > P = Rs . 1400$

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Filed Under: Compound Interest
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE , TOEFL
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28 4044

Q:

4 years ago, the ratio of 1/2 of Anita's age at that time and four times of Bablu's age at that time was 5 : 12. Eight years hence,1/2 of Anita's age at that time will be less than Bablu's age at that time by 2 years. What is Bablu's present age?

A) 10 years	B) 24 years
C) 9 years	D) 15 years

Answer & Explanation Answer: A) 10 years

Explanation:

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Filed Under: Problems on Ages

14 4037

Q:

A decision committee of 5 members is to be formed out of 4 Actors, 3 Directors and 2 Producers. In how many ways a committee of 2 Actors, 2 Directors and 1 Producer can be formed ?

A) 18	B) 24
C) 36	D) 32

Answer & Explanation Answer: C) 36

Explanation:

Required Number of ways = $4 C_{2} \times 3 C_{2} \times 2 C_{1} = 36$ = 36

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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17 4037

Q:

A takes 24 day in completing a work alone. Time taken by A in completing 1/3rd of the work is equal to the time taken by B in completing half of the work. How many days will be taken in completing the work if both A & B start working together?

A) 21/3 days	B) 48 days
C) 40 days	D) 48/5 days

Answer & Explanation Answer: D) 48/5 days

Explanation:

Ans.
Time taken by A to complete a work alone - 24 days
Time taken by A in completing 1/3 of work = 24*1/3= 8 Days
8 day = time taken by B in completing 1/2 of work
B alone can complete the work = 16 days
The required time in completing the work if both A & B start working together?
16*24 / 40 = 48/5 Days

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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , GATE

2 4036

Q:

Which of the following relation is CORRECT?

I. (√15 + √7) < (2√22)

II. (√17 + √5) < (√20 + √2)

A) Only I	B) Only II
C) Neither I nor II	D) Both I and II

Answer & Explanation Answer: A) Only I

Explanation:

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Filed Under: Square Roots and Cube Roots
Exam Prep: Bank Exams

0 4023

Q:

Simplify $4 \frac{1}{3} + 2 \frac{1}{5} + 4 \frac{1}{4} = ?$

A) 10 47/60	B) 11 45/73
C) 11 47/36	D) 10 35/48

Answer & Explanation Answer: A) 10 47/60

Explanation:

The given equation is in Mixed fraction.

Now to solve this type of fractions,

$4 \frac{1}{3} + 2 \frac{1}{5} + 4 \frac{1}{4} = ? ? = (4 + 2 + 4) + (\frac{1}{3} + \frac{1}{5} + \frac{1}{4}) ? = 10 + \frac{47}{60} ? = 10 \frac{47}{60}$

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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9 4018

Quantitative Aptitude - Arithmetic Ability Questions

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