6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If 12 men can reap 120 acres of land in 36 days, how many acres of land can 54 men reap in 54 days?

A) 710 acres	B) 760 acres
C) 810 acres	D) 860 acres

Answer & Explanation Answer: C) 810 acres

Explanation:

$\begin{matrix} 12 m e n & 120 a c r e s & 36 d a y s \\ 54 m e n & ? & 54 d a y s \end{matrix}$

As 12 men can reap 120 acres, 54 men will be able to reap more acres in 36 days, 120 acres of land was reaped, so in 54 days, more land will be reaped.

Thus, the numbers of acres that can be reaped by 54 men in 54 days = $\frac{54}{12} x 120 x \frac{54}{36}$ = 810 acres

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Filed Under: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT
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19 9506

Q:

A certain sum is invested at simple interest at 18% p.a. for two years instead of investing at 12% p.a. for the same time period. Therefore the interest received is more by Rs. 840. Find the sum ?

A) Rs. 5858	B) Rs. 8800
C) Rs. 7000	D) Rs. 6350

Answer & Explanation Answer: C) Rs. 7000

Explanation:

Let the sum be Rs. S.
(S x 18 x 2)/100 - (S x 12 x 2)/100 = 840 => 36S/100 - 24S/100 = 840

=> 12S/100 = 840 => S = 7000.

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Filed Under: Simple Interest
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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3 9504

Q:

A Rent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is:

A) 5%	B) 7%
C) 7.5%	D) 10%

Answer & Explanation Answer: D) 10%

Explanation:

Let the rate be R% p.a.

Then, $\frac{5000 \times r \times 2}{100} + \frac{3000 \times r \times 4}{100} = 2200$

Rate = 10%

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Filed Under: Simple Interest
Exam Prep: GRE
Job Role: Bank PO

9 9494

Q:

If Rs. 782 be divided into three parts, proportional to 1/2:2/3:3/4, then the first part is:

A) Rs. 408	B) Rs. 204
C) Rs. 412	D) Rs. 220

Answer & Explanation Answer: B) Rs. 204

Explanation:

Given ratio = 1/2:2/3:3/4 = 6:8:9

1st part = 782 x 6/23 = Rs. 204.

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Filed Under: Ratios and Proportions
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10 9486

Q:

A man can row upstream at 16 km/hr and downstream at 24 km/hr. Find the speed of the current.

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

Answer & Explanation Answer: A) 4 kmph

Explanation:

Speed of the current = 24-16/2

= 8/2

= 4 km/hr.

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Filed Under: Boats and Streams
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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11 9485

Q:

Arun, Bharat and Chari started a business in a partnership with investment of Rs 12000, Rs 26000 and Rs 32000 respectively. After 4 months Arun leaves. After 6 months Bharat leaves and Arun joins with an amount equal to his earlier investment. After 10 months, Chari leaves and Bharat joins with his prior investment. At the end of the year they earn a profit of Rs 53622. Find the share of chari in the annual profit?

A) 16547	B) 17212
C) 14875	D) 27848

Answer & Explanation Answer: D) 27848

Explanation:

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Filed Under: Partnership
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10 9484

Q:

If $\sqrt{0.00000676} = 0.0026$ then $\sqrt{6760000}$ is:

A) 2.6	B) 26
C) 260	D) 2600

Answer & Explanation Answer: D) 2600

Explanation:

$\sqrt{6760000} = \sqrt{0.00000676 \times 10^{2}} = \sqrt{0.00000676} \times \sqrt{10^{2}} = 0.0026 \times 10^{6} = 2600$

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Filed Under: Square Roots and Cube Roots

38 9484

Q:

A watch loses 5 minutes every hour and was set right at 6 a.m. on a Monday. When will it show the correct time again?

A) 6 a.m. on next Sunday	B) 3 a.m. on next Monday
C) 3 a.m. on next Sunday	D) 6 a.m. on next Monday

Quantitative Aptitude - Arithmetic Ability Questions

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