6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The length of a rectangular plot is increased by 50%, to keep its area unchanged, the width of the plot should be decreased by ______?

A) 29.87%	B) 33.33%
C) 22.22%	D) 19.5%

Answer & Explanation Answer: B) 33.33%

Explanation:

% Decrease in Width = $\frac{50}{150} x 100$

= 33.33%

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Filed Under: Percentage
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13 6427

Q:

Two trains 85 m and 75 m long are running in same direction with speeds of 62 km/hr and 44 km/hr respectively. In what time will the first train cross the second train ?

A) 22 sec	B) 32 sec
C) 42 sec	D) 52 sec

Answer & Explanation Answer: B) 32 sec

Explanation:

Given that,

1st train speed = 62 km/hr

2nd train speed = 44 km/hr

Hence the relative speed of two trains is : 62-44 = 18 km/hr = $18 \times \frac{5}{18}$ m/s = 5 m/s.

There fore, the first train crosses the second train i.e (85+75)mts of distance with a speed of 5m/s in,

time = $\frac{d i s \tan c e}{s p e e d} = \frac{85 + 75}{5}$ = 32 sec.

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Filed Under: Time and Distance
Exam Prep: CAT
Job Role: Bank Clerk

8 6425

Q:

A and B started a business after investing Rs. 12,000 and Rs. 14,400 respectively. At the end of the year B gets 12% of the total profit as management fees and the rest amount is distributed between both the partners in the ratio of their investments. If total annual profit is Rs. 7,500, then find the difference between their profits.

A) Rs. 1250	B) Rs. 600
C) Rs. 900	D) Rs. 1500

Answer & Explanation Answer: D) Rs. 1500

Explanation:

From the given data,

Ratio of capital = 12000 : 14400 = 5 : 6

Required Difference =

$\frac{6 - 5}{6 + 5} (\frac{88}{100} x 7500) + \frac{12}{100} x 7500 = \frac{1}{11} x 88 x 75 + 12 x 75 = 600 + 900 = 1500$

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Filed Under: Partnership
Exam Prep: AIEEE , Bank Exams , CAT
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8 6423

Q:

An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:

A) 2%	B) 2.02%
C) 4%	D) .4.04%

Answer & Explanation Answer: D) .4.04%

Explanation:

100 cm is read as 102 cm.

A1 = (100 x 100) and A2 =(102 x 102)

(A2 - A1) = [(102 x 102)-(100 x 100) ]= 404

Percentage error =[404/(100 x 100 )] x 100%= 4.04%

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Filed Under: Volume and Surface Area

1 6421

Q:

Sriram was conducting an experiment in which the average of 11 observations came to be 92, while the average of first five observations was 89, and that of the last five was 86. What was the measure of the 6th observation ?

A) 134	B) 137
C) 139	D) 141

Answer & Explanation Answer: B) 137

Explanation:

This can be done as,

(11 × 92) - (5 × 89) - (5 × 86)

= 1012- 445 - 430 = 137

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Filed Under: Average
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11 6415

Q:

Josh borrowed $250 from his mother to buy an electric scooter. Josh will pay her back in 1 year with 3% simple annual interest. How much interest will Josh pay?

A) 7.50	B) 8.50
C) 9.50	D) 10.50

Answer & Explanation Answer: A) 7.50

Explanation:

I=prt/100

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

1 6415

Q:

In a race of 800m Kaushik gives Piyush a start of 200m and then loses the race by 20 seconds. What is the speed of Piyush and Kaushik respectively ? If the ratio of respective speeds be 3:2.

Answer

Let the speed of Kaushik be Sk and speed of Piyush be Sp and let the time taken by Piyush be t second then,

$\frac{Sk}{Sp} = \frac{\frac{800}{t + 20}}{\frac{600}{t}} = \frac{2}{3} (since given ratio)$

t = 20 s

Speed of Piyush = Sp = 600/20 = 30 m/s

and Speed of Kaushik = 800/40 = 20 m/s

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Subject: Time and Distance Exam Prep: AIEEE , Bank Exams , CAT
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8 6402

Q:

How many six digit odd numbers can be formed from the digits 0, 2, 3, 5, 6, 7, 8, and 9 (repetition not allowed)?

A) 8640	B) 720
C) 3620	D) 4512

Answer & Explanation Answer: A) 8640

Explanation:

Let the 6 digits of the required 6 digit number be abcdef

Then, the number to be odd number the last digit must be odd digit i.e 3, 5, 7 or 9

The first digit cannot be ‘0’ => possible digits = 3, 5, 7, 2, 6, 8

Remaining 4 places can be of 6 x 5 x 4 x 3 ways

This can be easily understood by

Therefore, required number of ways = 6 x 6 x 5 x 4 x 3 x 4 = 36 x 20 x 12 = 720 x 12

= 8640 ways.

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Filed Under: Permutations and Combinations
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10 6387

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