6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If the true discount on s sum due 2 years hence at 14% per annum be Rs. 168, the sum due is ?

A) Rs.948	B) Rs.876
C) Rs.768	D) Rs.658

Answer & Explanation Answer: C) Rs.768

Explanation:

P.W. = $\frac{100 \times T . D}{R \times T}$ = $\frac{100 \times 168}{14 \times 2}$ = 600.

Sum = (P.W. + T.D.) = Rs. (600 + 168) = Rs. 768.

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Filed Under: True Discount
Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

17 13122

Q:

The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is

A) 6.06%	B) 6.07%
C) 6.08%	D) 6.09%

Answer & Explanation Answer: D) 6.09%

Explanation:

Amount of Rs. 100 for 1 year

when compounded half-yearly = Rs.[100*(1+3/100)^2]=Rs.106.09

Effective rate=(106.09-100)%=6.09%

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

10 13121

Q:

The highest score in an inning was 3/11 of the total and the next highest was 3/11 of the reminder . If the score differ by 9, the total score was :

A) 110	B) 121
C) 132	D) 143

Answer & Explanation Answer: B) 121

Explanation:

Let the score be x. Then the highest score = 3x/11.

Reminder = (x - 3x/11) = 8x/11 .Next the highest score = 3/11 of 8x/11 = 24x/121.

3x/11 - 24x/11 = 9 <=> 33x - 24x = 9*121 <=> x= 121..

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Filed Under: Simplification

17 13120

Q:

How many iron rods, each of length 7 mts and diameter 2 cms can be made out of 0.88 cubic metre of iron ?

A) 500	B) 600
C) 400	D) 300

Answer & Explanation Answer: C) 400

Explanation:

Given length of iron rod =7 mts and and diameter of rod = 2 cms

=> r = 1/100 mts

Therefore, Volume of one rod = ${πr}^{2} h$ cu. m = $(\frac{22}{7} \times {[\frac{1}{100}]}^{2} \times 7)$ cu. m = $\frac{11}{5000}$ cu. m

Given volume of iron = 0.88 cu. m

Therefore, Number of rods = $(0.88 \times \frac{5000}{11})$ = 400.

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Filed Under: Volume and Surface Area
Exam Prep: CAT
Job Role: Bank PO

17 13094

Q:

If $3 x + 7 = x^{2} + p = 7 x + 5$ , what is the value of P ?

A) 17/2	B) 25/3
C) 33/4	D) 41/5

Answer & Explanation Answer: A) 17/2

Explanation:

$3 x + 7 = 7 x + 5 = > 7 x - 3 x = 2 = > 4 x = 2 = > x = 2$

Now, $3 x + 7 = x^{2} + p = \frac{3}{2} + 7 = \frac{1}{4} + p = > p = \frac{17}{2}$

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Filed Under: Simplification

11 13093

Q:

If 50 is subtracted from two-third of a number, the result is equal to sum of 40 and one-fourth of that number. What is the number ?

A) 156	B) 179
C) 198	D) 216

Answer & Explanation Answer: D) 216

Explanation:

Let the number be x.

Then, 2/3x-50 = 1/4x +50

=> 5/12x = 90

x = (90 x 12) / 5 = 216

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Filed Under: Problems on Numbers

6 13091

Q:

Among the following which is a rational number?

A) 23	B) 123
C) 83	D) 43

Answer & Explanation Answer: C) 83

Explanation:

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

0 13091

Q:

A can write 32 pages in 6 hours and B can write 40 pages in 5 hours. If they write together, in how many hours they can write 110 pages ?

A) 7 hrs	B) 6 hrs 10 min
C) 5 hrs 25min	D) 8 hrs 15 min

Answer & Explanation Answer: D) 8 hrs 15 min

Explanation:

A can write in 1hour = 32/6 pages

Similarly, B in 1 hour = 40/5 pages

Together (A+B) in 1 hour = 32/6 + 40/5 = 40/3

So, A+B write 40/3 pages in 1 hour

A+B write 110 pages in (3/40) x 110 Hours = 8 hours 15 min.

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Filed Under: Time and Work
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

8 13090

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