6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If each edge of a cube is increased by 50%, find the percentage increase in Its surface area

A) 125%	B) 150%
C) 175%	D) 110%

Answer & Explanation Answer: A) 125%

Explanation:

Let the edge = a cm

So increase by 50 % = a + a/2 = 3a/2

Total surface Area of original cube = $6 a^{2}$

TSA of new cube = $6 {(\frac{3 a}{2})}^{2}$ = $6 (\frac{9 a^{2}}{4})$ = $13.5 a^{2}$

Increase in area = $13.5 a^{2} - 6 a^{2}$ = $7.5 a^{2}$

$7.5 a^{2}$ Increase % = $\frac{7.5 a^{2}}{6 a^{2}} \times 100$ = 125%

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Filed Under: Volume and Surface Area

484 87501

Q:

If one needs to score 34% to pass a test, the pass marks out of 40 would be:

A) 13.2	B) 14.2
C) 13.6	D) 14.6

Answer & Explanation Answer: C) 13.6

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams

16 87225

Q:

The length of a diagonal in cms of a rectangle of length 5 cm and width 3 cm is

A) √34	B) +-√34
C) 4	D) +-4

Answer & Explanation Answer: A) √34

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

2 86854

Q:

A, B, C started a business with their investments in the ratio 1:3 :5. After 4 months, A invested the same amount as before and B as well as C withdrew half of their investments. The ratio of their profits at the end of the year is :

A) 1 : 2 : 3	B) 3 : 4 : 15
C) 3 : 5 : 10	D) 5 : 6 : 10

Answer & Explanation Answer: D) 5 : 6 : 10

Explanation:

Let their initial investments be x, 3x and 5x respectively. Then,

A:B:C = (x*4+2x*8) : (3x*4+(3x/2)*8) : (5x*4+(5x/2)*8)

20x : 24x : 40x = 5 : 6 : 10

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Filed Under: Partnership

207 86623

Q:

Direction: What should come in the place of question mark (?) in the following number series?

7, 10, 16, 28, ?, 100

A) 34	B) 40
C) 52	D) 60

Answer & Explanation Answer: C) 52

Explanation:

The pattern followed is +3 , +6 , +12 , +24 , +48

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

0 86542

Q:

What approximate value will come in place of the question mark(?) in the below question?

(47% of 1442 - 36% of 1412) + 63 = ?

A) 4	B) 5
C) 3	D) 6

Answer & Explanation Answer: C) 3

Explanation:

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Filed Under: Problems on Numbers

25 86541

Q:

Consider the following for real numbers α, β, γ and δ ?

1) sec α = 1/4

2) tan β = 20

3) cosec γ = 1/2

4) cos δ = 2

How many of the above statements are not possible?

A) one	B) two
C) three	D) four

Answer & Explanation Answer: C) three

Explanation:

Sec of any number can never be less than 1

tan can take any value from -∞ to + ∞

cosec of any number can never be less than 1

cos of any number can never be greater than 1

so option 1,3,4 are not possible

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Filed Under: Simplification
Exam Prep: Bank Exams

1 86202

Q:

Given w = -2, x = 3, y = 0 & z = -1/2. Find the value of $2 (w^{2} + x^{2} + y^{2})$ .

A) 26	B) -26
C) 25	D) 28

Quantitative Aptitude - Arithmetic Ability Questions

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