6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

In a 300 m race, A beats B by 22.5 m or 6 seconds. B's time over the course is:

A) 86 sec	B) 80 sec
C) 76 sec	D) None of these

Answer & Explanation Answer: B) 80 sec

Explanation:

B runs 45/2mts in 6 sec

B covers 300m in (6*2/45*300)sec =80 sec

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Filed Under: Races and Games

19 22286

Q:

If 60% of $\frac{3}{5}$ of a number is 36, then the number is

A) 86	B) 94
C) 100	D) 115

Answer & Explanation Answer: C) 100

Explanation:

Let the number be x.Then

60% of $\frac{3}{5}$ of x=36.

=> $\frac{60}{100} * \frac{3}{5} * x = 36$

=> $\frac{9 x}{25} = 36$ => x= $\frac{25 * 36}{9} = 100$

Required number is 100.

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Filed Under: Numbers

28 22253

Q:

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

$325 - 12^{2} + 75 = ?^{2} - 68$

A) 18	B) 324
C) 18	D) 3242

Answer & Explanation Answer: C) 18

Explanation:

$?^{2}$ = 325 – 144 + 75 + 68
= 468 – 144 = 324
(?) = 18,-18

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

0 22239

Q:

Two cogged wheels of which one has 32 cogs and other 54 cogs, work into each other. If the latter turns 80 times in three quarters of a minute, how often does the other turn in 8 seconds?

A) 48	B) 24
C) 38	D) 36

Answer & Explanation Answer: B) 24

Explanation:

Less Cogs $\Rightarrow$ more turns and less time $\Rightarrow$ less turns

$C o g s T i m e T u r n s A 54 45 80 B 32 8 ?$

Number of turns required=80 × 54/32 × 8/45 = 24 times

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Filed Under: Problems on Trains

57 22234

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 22229

Q:

A booster pump can be used for filling as well as for emptying a tank. The capacity of the tank is 2400 $m^{3}$ . The emptying capacity of the tank is 10 $m^{3}$ per minute higher than its filling capacity and the pump needs 8 minutes lesser to empty the tank than it needs to fill it. What is the filling capacity of the pump?

A) 50 m^3/min	B) 60 m^3/min
C) 72 m^3/min	D) None of these

Answer & Explanation Answer: A) 50 m^3/min

Explanation:

Let the filling capacity of the pump be x $m^{3}$ /min.

Then, emptying capacity of the pump=(x+10) $m^{3}$ /min.

so, $\frac{2400}{x} - \frac{2400}{x + 10} = 8 \Leftrightarrow x^{2} + 10 x - 3000 = 0$

$\Rightarrow (x - 50) + (x + 60) = 0 \Leftrightarrow x = 50$

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

38 22219

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 22169

Q:

The interest on a certain deposit at 4.5% p.a. is Rs. 202.50 in one year. How much will the additional interest in one year be on the same deposit at 5% p.a. ?

A) Rs. 22.5	B) Rs. 2.5
C) Rs. 202	D) Rs. 25

Answer & Explanation Answer: A) Rs. 22.5

Explanation:

We know that I = PTR/100
=> P = 20250/4.5 = 4500
Now, new Interest at 5% = 4500x1x5/100 = 225
Now the additional amount = 225 - 202.5 = Rs. 22.5

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

18 22117

Quantitative Aptitude - Arithmetic Ability Questions

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