6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad ?

A) 844	B) 814
C) 840	D) 820

Answer & Explanation Answer: B) 814

Explanation:

Length of largest tile = H.C.F. of 1517 cm and 902 cm = 41 cm.
Area of each tile = (41 x 41) sq.cm

Required number of tiles =1517 x 902/(41 x 41) = 814.

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Filed Under: Area
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8 15799

Q:

A rectangular paper when folded into two congruent parts had a perimeter of 34cm foer each part folded along one set of sides and the same is 38cm. When folded along the other set of sides. What is the area of the paper?

A) 140	B) 150
C) 160	D) 170

Answer & Explanation Answer: A) 140

Explanation:

when folded along the breadth
we have 2(l/2 +b) = 34 or l+2b = 34...........(1)
when folded along the length, we have 2(l+b/2)=38 or 2l+b =38.....(2)
from 1 &2 we get l=14 and b=10
Area of the paper = 14*10 = 140 sq cm

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Filed Under: Area
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7 15793

Q:

A batsman scored 120 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets ?

A) 40%	B) 45%
C) 50%	D) 55%

Answer & Explanation Answer: C) 50%

Explanation:

Number of runs made by running = 120 - (3 x 4 + 8 x 6) = 120 - (60) = 60

Required percentage = [(60/120)*100] % = 50%

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Filed Under: Percentage

30 15789

Q:

There are three rooms in a Hotel: one single, one double and one for four persons. How many ways are there to house seven persons in these rooms ?

A) 105	B) 7! x 6!
C) 7!/5!	D) 420

Answer & Explanation Answer: A) 105

Explanation:

Choose 1 person for the single room & from the remaining choose 2 for the double room & from the remaining choose 4 people for the four person room,

Then, ⁷C₁x ⁶C₂x ⁴C₄

_{= 7 x 15 x 1 = 105}

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Filed Under: Permutations and Combinations
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14 15788

Q:

A number X is mistakenly divided by 10 instead of being multiplied by 10. What is the percentage error in the result?

A) -99%	B) +99%
C) -100%	D) +100%

Answer & Explanation Answer: A) -99%

Explanation:

By mistake = x/10

Actual value = x * 10

% Change = $\frac{10 x - \frac{x}{10}}{10 x} \times 100 = \frac{99}{100} \times 100$ = 99% (negative)

Since actual value is greater than the wrong value.

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Filed Under: Percentage
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15 15787

Q:

There are two numbers such that the sum of twice the first and thrice the second is 39, while the sum of thrice the first, and twice the second is 36. The larger of the two is :

A) 3	B) 6
C) 9	D) 12

Answer & Explanation Answer: C) 9

Explanation:

Let the numbers be x and y. Then, 2x + 3y = 39...(i)and 3x + 2y = 30 ...(ii)

On solving (i) and (ii), we get : x = 6 and y = 9.

larger number = 9

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Filed Under: Problems on Numbers

23 15786

Q:

217 x 217 + 183 x 183 = ?

A) 84521	B) 87487
C) 80578	D) 78458

Answer & Explanation Answer: C) 80578

Explanation:

${(217)}^{2} + {(183)}^{2}$

= ${(200 + 17)}^{2} + {(200 - 17)}^{2}$

It is in the form of ${(a + b)}^{2} + {(a - b)}^{2} = 2 (a^{2} + b^{2})$

= 2(40000 + 289) = 80578.

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Filed Under: Simplification
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22 15771

Q:

What is the principal sum?
I. The sum amounts to Rs. 690 in 3 years at S.I.
II. The sum amounts to Rs. 750 in 5 years at S.I.
III. The rate of interest is 5% p.a.

A) I and III only	B) II and III only
C) I and II only	D) Any two of the three

Quantitative Aptitude - Arithmetic Ability Questions

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