6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If A : B = 2 : 3 and B : C = 4 : 5, then what is (A + C) : B?

A) 8 : 5	B) 7 : 3
C) 23 : 12	D) 25 : 14

Answer & Explanation Answer: C) 23 : 12

Explanation:

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

4 21441

Q:

A number is increased by 20% and then decreased by 20%, the final value of the number is ?

A) increase by 2%	B) decrease by 3%
C) decrease by 4%	D) increase by 5%

Answer & Explanation Answer: C) decrease by 4%

Explanation:

Here, x = 20 and y = - 20
Therefore, the net % change in value
= $x + y + \frac{x y}{100}$ %
= $20 + (- 20) + \frac{20 \times - 20}{100}$ % or - 4%

Since the sign is negative, there is a decrease in value by 4%.

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

34 21429

Q:

A polygon has 44 diagonals, then the number of its sides are ?

A) 13	B) 9
C) 11	D) 7

Answer & Explanation Answer: C) 11

Explanation:

Let the number of sides be n.

The number of diagonals is given by ⁿC₂ - n

^{Therefore, n}C₂ - n = 44, n>0

ⁿC₂ - n = 44

n²- 3n - 88 = 0

n²-11n + 8n - 88 = 0

n(n - 11) + 8(n - 11) = 0

n = -8 or n = 11.

As n>0, n will not be -8. Therefore, n=11.

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Filed Under: Permutations and Combinations
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

25 21400

Q:

An agent, gets a commission of 2.5% on the sales of cloth. If on a certain day, he gets Rs. 12.50 as commission, the cloth sold through him on that day is worth

A) 300	B) 500
C) 700	D) 900

Answer & Explanation Answer: B) 500

Explanation:

Let the total sale be Rs. x.

Then, 2.5%. of x = 12.50

=> (25/100 * 1/100 * x) = 125/10

=> x = 500.

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Filed Under: Percentage

31 21399

Q:

A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold ?

A) 360 lit	B) 480 lit
C) 320 lit	D) 420 lit

Answer & Explanation Answer: B) 480 lit

Explanation:

1/k - 1/20 = -1/24

k = 120

120 x 4 = 480

Therefore, the capacity of the cistern is 480 liters.

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Filed Under: Pipes and Cistern
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

15 21383

Q:

Calculate the value of angle FED from the figure shown below.

A) 30 deg	B) 40 deg
C) 60 deg	D) 80 deg

Answer & Explanation Answer: B) 40 deg

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

0 21357

Q:

Select the odd figure out of the given series.

A) 1	B) 5
C) 3	D) 4

Answer & Explanation Answer: B) 5

Explanation:

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

0 21292

Q:

A,B and C enter into a partnership in the ratio $\frac{7}{2} : \frac{4}{3} : \frac{6}{5}$ . After 4 months, A increases his share by 50%. If the total profit at the end of one year be Rs. 21600, then B's share in the profit is :

A) Rs. 4000	B) Rs. 6000
C) Rs. 9000	D) Rs. 3000

Answer & Explanation Answer: A) Rs. 4000

Explanation:

Given ratio of initial investments = $\frac{7}{2} : \frac{4}{3} : \frac{6}{5}$ = 105 : 40 : 36.

Let the initial investments be 105x, 40x and 36x.

$∴ A : B : C = (105 x \times 4 + \frac{150}{100} \times 105 x \times 8) : (40 x \times 12) : (36 x \times 12)$

= 1680x : 480x : 432x = 35 : 10 : 9.

Hence, B's share = $(21600 \times \frac{10}{54})$ = Rs. 4000.

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Filed Under: Partnership
Exam Prep: CAT
Job Role: Bank PO

18 21274

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