6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

In a 100 m race, A beats B by 10 m and C by 13 m. In a race of 180 m, B will beat C by:

A) 5.4m	B) 4.5m
C) 5m	D) 6m

Answer & Explanation Answer: D) 6m

Explanation:

A : B = 100 : 90.

A : C = 100 : 87.

B/C = (B/A*A/C) = (90/100*100/87) = 30/29

When B runs 30 m, C runs 29 m.

When B runs 180 m, C runs (29/30*180)m =174m

B beats C by (180 - 174) m = 6 m.

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Filed Under: Races and Games

104 88162

Q:

The radius of base of a right circular cone is 6cm and its slant height is 10cm. Then its volume is

$(u s e π = \frac{22}{7})$

A) 301.71 cm3	B) 310.71 cm3
C) 301.17 cm3	D) 310.17 cm3

Answer & Explanation Answer: A) 301.71 cm3

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 87424

Q:

The value of 0.592 $\div$ 0.8 = ?

A) 7.4	B) 0.74
C) 740	D) 0.074

Answer & Explanation Answer: B) 0.74

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 87013

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

483 86951

Q:

What value will come in place of question mark (?) in the number - series given below ?

4, 30, ?, 1440, 7195, 71940

A) 145	B) 545
C) 650	D) 999

Answer & Explanation Answer: A) 145

Explanation:

4 30 ? 1440 7195 71940

Here the given series follows a pattern of

4

4 x 10 - 10 = 30

30 x 5 - 5 = 145

145 x 10 - 10 = 1440

1440 x 5 - 5 = 7195

7195 x 10 - 10 = 71940

Hence, the missing number is 145

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Filed Under: Odd Man Out
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

9 86316

Q:

${(a - b)}^{2} + 2 ab = ?$

A) a2 - b2	B) a2 + b2
C) a2 - 4ab + b2	D) a2 - 2ab + b2

Answer & Explanation Answer: B) a2 + b2

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

3 86264

Q:

Find the Odd One Out?

4, 6, 12, 30, 81, 315.

A) 6	B) 12
C) 81	D) 315

Answer & Explanation Answer: C) 81

Explanation:

Given the number series is 4, 6, 12, 30, 81, 315.

Here it follows a pattern that

4

4 x 1.5 = 6

6 x 2 = 12

12 x 2.5 = 30

30 x 3 = 90 not equals to 81

90 x 3.5 = 315

Hence the odd one in the series is 81.

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO , Database Administration , IT Trainer

9 85724

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 85715

Quantitative Aptitude - Arithmetic Ability Questions

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