6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Read the following information and answer the questions given below:

A has 28 elements, B has 32 elements and A U B has 40 elements.

How many elements does A $\cap$ B have?

A) 12	B) 8
C) 10	D) 20

Answer & Explanation Answer: D) 20

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability

0 4307

Q:

The sum of a fraction and its reciprocal is 113/56. Find the fraction.

A) 7/8	B) 5/8
C) 8/9	D) 3/7

Answer & Explanation Answer: A) 7/8

Explanation:

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

0 4306

Q:

The Number of times the digit 8 will be written when listing the integers from 1 to 1000 is :

A) 100	B) 200
C) 300	D) 400

Answer & Explanation Answer: C) 300

Explanation:

Since 8 does not occur in 1000, we have to count the number of times 8 occurs when we list the integers from 1 to 999. Any number between 1 and 999 is of the form xyz, where $0 \leq x, y, z \leq 9 .$

Let us first count the numbers in which 8 occurs exactly once.

Since 8 can occur atone place in $3 C_{1}$ ways. There are $3 x 9 x 9$ such numbers.

Next, 8 can occur in exactly two places in $3 C_{2} \times 9$ such numbers. Lastly, 8 can occur in all three digits in one number only.

Hence, the number of times 8 occur is

$1 \times (3 \times 9^{2}) + 2 \times (3 \times 9) + 3 \times 1 = 300$

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Filed Under: Permutations and Combinations

2 4304

Q:

Select the correct option:

Convert decimal 101 to binary .

A) 1101001	B) 1100111
C) 1101011	D) 1100101

Answer & Explanation Answer: D) 1100101

Explanation:

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Filed Under: Numbers
Exam Prep: Bank Exams

0 4301

Q:

The perimeter of a square is 22 cm. Find its area (in cm2).

A) 60.5	B) 22.5
C) 45	D) 30.25

Answer & Explanation Answer: D) 30.25

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

0 4293

Q:

A flagstaff 17.5 m high casts a shadow of length 40.25 m. What will be the height of a building, which casts a shadow of length 28.75 m under similar conditions ?

A) 14 cm	B) 13.5 cm
C) 12.5 cm	D) 11.4 cm

Answer & Explanation Answer: C) 12.5 cm

Explanation:

Let the required height of the building be x meter

More shadow length, More height(direct proportion)

Hence we can write as

(shadow length) 40.25 : 28.75 :: 17.5 : x
⇒ 40.25 × x = 28.75 × 17.5
⇒ x = 28.75 × 17.5/40.25
= 2875 × 175/40250
= 2875 × 7/1610
= 2875/230
= 575/46
= 12.5 cm

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Filed Under: Height and Distance
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

16 4291

Q:

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

$4 \frac{3}{7} + 2 \frac{1}{6} - 4 \frac{1}{3} = ? - 2 \frac{3}{4}$

A) 2.79	B) 5.01
C) 4.29	D) 6.36

Answer & Explanation Answer: B) 5.01

Explanation:

? = 4 + 85/4

? = 5.01

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

0 4290

Q:

Select the option that can replace the question mark (?) in the following equation.

$\frac{{(0.2)}^{3} - {(0.1)}^{3}}{{(0.2 + 0.1)}^{2}}$

A) 1/18	B) 3/40
C) -7/90	D) 7/90

Quantitative Aptitude - Arithmetic Ability Questions

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