6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Read the data given below and answer the questions based on it.

In the CBSE Board exams last year, 53% passed in Biology, 61% percent passed in English, 60% in Social studies, 24% in Biology and English, 35% in English and social studies, 27% in Biology and social studies and 5% in none.

If the number of students in the class is 200, how many passed in only one subject?

A) 48	B) 46
C) More than 50	D) Less than 40

Answer & Explanation Answer: B) 46

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams

3 23481

Q:

What will come in place of the question mark in the series below?

7, 4.5, 5.5, 12, 49, ?

A) 393	B) 396
C) 354	D) 367

Answer & Explanation Answer: A) 393

Explanation:

Ans.
4.5 = 7 x 0.5 + 1
5.5 = 4.5 x 1 + 1
12 = 5.5 x 2 + 1
49 = 12 x 4 + 1
? = 49 x 8 + 1, i.e. ? = 393

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Filed Under: Numbers
Exam Prep: AIEEE , Bank Exams , GATE

2 23456

Q:

Find the total surface area (in cm2) of a right circular cylinder of diameter 7 cm and height 6 cm.

A) 187	B) 209
C) 163	D) 149

Answer & Explanation Answer: B) 209

Explanation:

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

0 23445

Q:

A man takes 6 hours 15 minutes in walking a distance and riding back to the starting place. He could walk both ways in 7 hours 45 minutes. The time taken by him to ride both ways, is

A) 4 hours	B) 4 hours 30 minutes
C) 4 hours 45 minutes	D) 5 hours

Answer & Explanation Answer: C) 4 hours 45 minutes

Explanation:

Time taken in walking both ways = 7 hours 45 minutes --------(i)

Time taken in walking one way and riding back= 6 hours 15 minutes-------(ii)

By equation (ii)*2 -(i), we have

Time taken to man ride both ways, = 12 hours 30 minutes - 7 hours 45 minutes

= 4 hours 45 minutes

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Filed Under: Time and Distance

90 23421

Q:

If two letters are taken at random from the word HOME, what is the probability that none of the letters would be vowels?

A) 1/6	B) 1/2
C) 1/3	D) 1/4

Answer & Explanation Answer: A) 1/6

Explanation:

P(first letter is not vowel) = $\frac{2}{4}$

P(second letter is not vowel) = $\frac{1}{3}$

So, probability that none of letters would be vowels is = $\frac{2}{4} \times \frac{1}{3} = \frac{1}{6}$

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Filed Under: Probability

67 23405

Q:

The number of oranges in three baskets are in the ratio of 3 : 4 : 5. In which ratio the no. of oranges in first two baskets must be increased so that the new ratio becomes 5 : 4 : 3?

A) 1:3	B) 2:1
C) 3:4	D) 2:3

Answer & Explanation Answer: B) 2:1

Explanation:

Let, B1 : B2 : B3 = 3x : 4x : 5x

again B1 : B2 : B3 = 5y : 4y : 3y

Since there is increase in no.of oranges in first two baskets only, it means the no. of oranges remains constant in the third basket

Therefore, 5x = 3y

Hence 3x : 4x : 5x => $\frac{9 y}{5} : \frac{12 y}{5} : \frac{15 y}{5}$ = 9y:12y:15y

and 5y : 4y : 3y => 25x : 20x : 15x

Therfore, increment in first basket = 16

Increment in second basket = 8

Thus, required ratio = 16/8 = 2:1

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Filed Under: Ratios and Proportions

88 23388

Q:

In a pot, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk, the pot would be full and ratio of milk and water would become 6 : 5. Find the capacity of the pot ?

A) 11 lit	B) 22 lit
C) 33 lit	D) 44 lit

Answer & Explanation Answer: B) 22 lit

Explanation:

Let the capacity of the pot be 'P' litres.
Quantity of milk in the mixture before adding milk = 4/9 (P - 8)
After adding milk, quantity of milk in the mixture = 6/11 P.
6P/11 - 8 = 4/9(P - 8)
10P = 792 - 352 => P = 44.

The capacity of the pot is 44 liters.

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Filed Under: Alligation or Mixture
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

43 23355

Q:

If each side of a square is increased by 25%, find the percentage change in its area.

A) 56.25%	B) 36.25%
C) 16.25%	D) 12.25%

Answer & Explanation Answer: A) 56.25%

Explanation:

Let each side of the square be a. Then, area = . $a^{2}$
New side = $\frac{125 a}{100} = \frac{5 a}{4}$ . New area = ${(\frac{5 a}{4})}^{2}$ = $(\frac{25 a^{2}}{16})$

Increase in area = $\frac{25 a^{2}}{16} - a^{2} = \frac{9 a^{2}}{16}$
Increase% = $[\frac{9 a^{2}}{16} * \frac{1}{a^{2}} * 100]$ % = 56.25%.

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

39 23345

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