6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

What value should come in place of question mark (?) in the following question?

$44^{2} + 23^{2} = {(?)}^{2} + 4^{4}$

A) 47	B) 65
C) 52	D) 41

Answer & Explanation Answer: A) 47

Explanation:

$1936 + 529 = ?^{2} + 256 2465 = ?^{2} + 256 ?^{2} = 2465 - 256 ?^{2} = 2209 ? = 47$

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: GATE , Bank Exams

0 18394

Q:

96% of the population of a village is 23040. The total population of the village is ?

A) 24000	B) 32256
C) 25478	D) 26587

Answer & Explanation Answer: A) 24000

Explanation:

Let the total population be 'P'

P x (96/100) = 23040

P = 240 * 100

P = 24000.

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

18 18374

Q:

A typist uses a sheet measuring 20cm by 30cm lengthwise.If a margin of 2 cm is left on each side and a 3 cm margin on top and bottom, then percent of the page used for typing is

A) 64%	B) 74%
C) 84%	D) 94%

Answer & Explanation Answer: A) 64%

Explanation:

Area of the sheet = $(20 \times 30) c m^{2}$

Area used for typing = $[(20 - 4) \times (30 - 6)] c m^{2}$

required % = $\frac{384}{600} \times 100$ =64%

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

21 18352

Q:

How many degrees will the minute hand move, in the same time in which the second hand move 5400 ?

A) 90 degrees	B) 85 degrees
C) 60 degrees	D) 45 degrees

Answer & Explanation Answer: A) 90 degrees

Explanation:

Minute hand covers 5400/60 = 90°

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Filed Under: Clocks
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

37 18310

Q:

The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq.cm. Find the length of the rectangle?

A) 10cm	B) 20cm
C) 30cm	D) 40cm

Answer & Explanation Answer: B) 20cm

Explanation:

Let the breadth of the given rectangle be x then length is 2x.
thus area of the given rect is $2 x^{2}$

after dec 5cm from length and inc 5cm breadth , new lenght becomes 2x-5 and breadth is x+5.thus new area =(2x-5)(x+5)= $2 x^{2} + 5 x - 25$

since new area is 75 units greater than original area thus
$2 x^{2} + 75 = 2 x + 5 x - 25$
5x=75+25
5x=100
therefore x=20
hence length of the rectangle is 40 cm.

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

29 18303

Q:

In a one km race A gives B a start of 100m and in a one km race B gives a start of 80 m to C. In a 1 km race who will win and by how much distance from the worst performer between two losers?

Answer

Ratio of speeds of A:B = 1000:900 = 100:90

Ratio of speeds of B:C = 1000:920 = 100:92

Therefore, when A moves 1000m , B moves 900 m and when B moves 900m, C moves 828m

Thus, $\begin{matrix} \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; 828m\; \; \;\; \; 900m\;\; \; \; \; 1000m\\ A...............|........|..........|\\ \; \; \; \;\; \; \; \; \; \; \; \; \; \; \; \; \; C\; \; \; \; \; \; \; \; B\; \; \; \; \; \; \; \; \; A \end{matrix}$

Since , C moves 8 % less than B in the same time . Thus, C is the worst performer and A will win by him by 172 m

Workspace

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Subject: Time and Distance

45 18296

Q:

The current birth rate per thousand is 32, whereas corresponding death rate is 11 per thousand. The net growth rate in terms of population increase in percent is given by :

A) 1.2 %	B) 2.1 %
C) 3.1 %	D) 1.3 %

Answer & Explanation Answer: B) 2.1 %

Explanation:

Net growth on 1000 = (32 - 11) = 21. Net growth on 100 =(21/1000 * 100) %= 2.1%.

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Filed Under: Percentage

18 18263

Q:

In a business, A and C invested amounts in the ratio 2:1, whereas the ratio between amounts invested by A and B was 3:2. If Rs. 1,57,300 was their profit, how much amount did B receive ?

A) 48400	B) 54200
C) 64000	D) 74000

Quantitative Aptitude - Arithmetic Ability Questions

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