6500+ Quantitative Aptitude Questions and Answers With Explanation

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 6276

Q:

A pizza can have 3 toppings out of possible 7 toppings.How many different pizza's can be made?

A) 49	B) 35
C) 27	D) 25

Answer & Explanation Answer: B) 35

Explanation:

There are 7 toppings in total,and by selecting 3,we will make different types of pizza.

This question is a combination since having a different order of toppings will not make a different pizza.

So, $7 C_{3}$ =35

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Filed Under: Permutations and Combinations

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Q:

The compound interest on a certain sum for 2 years at 10% per annum is Rs. 1155. The simple interest on the same sum for double the time at half the rate percent per annum is ?

A) Rs. 1100	B) Rs. 5500
C) Rs. 1400	D) Rs. 4120

Answer & Explanation Answer: A) Rs. 1100

Explanation:

Let the sum be Rs.x. Then,

$[x {(1 + \frac{10}{100})}^{2} - x] = 1155$

$\Rightarrow x [{(\frac{11}{10})}^{2} - 1] = 1155$

=> x =5500

sum = Rs. 5500.

So, S.I = Rs. $(\frac{5500 \times 5 \times 4}{100})$ = 1100

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Filed Under: Compound Interest
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2 6273

Q:

Anil purchases two books for Rs.100. He sells first at loss of 5% and second al 20% profit. If he gets Overall profit of 5% then what is cost of first book?

A) 58	B) 60
C) 55	D) 45

Answer & Explanation Answer: B) 60

Explanation:

-5-----------------------5-------------------20

5-(-5) = 10

20-5= 15

Ratio of cost price of book1 and book2 = 3:2

Then cost price of book 1 is given by

(3/5) x 100 = Rs. 60.

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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20 6271

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 6262

Q:

In the following question a number series is given which has only one wrong number. You have to find out the wrong number?

7.5 47.5 87.5 157.5 247.5 357.5 487.5

A) 47.5	B) 87.5
C) 247.5	D) 357.5

Answer & Explanation Answer: A) 47.5

Explanation:

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams
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14 6258

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 6251

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
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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Quantitative Aptitude - Arithmetic Ability Questions

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