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Quantitative Aptitude - Arithmetic Ability

Quantitative Aptitude - Arithmetic Ability Questions

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If a + b = 10 and ab = 24, then what is the value of $a^{3} + b^{3}$ ?

A) 280	B) 152
C) 140	D) 72

A) 280

B) 152

C) 140

D) 72

Answer & Explanation Answer: A) 280

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Filed Under: Simplification
Exam Prep: Bank Exams

1 2036

In ΔABC, D and E are points on side AB and AC respectively. DE is parallel to BC. If lengths of AD, DB and DE are 8 cm, 6 cm and 7.2 cm respectively, find length of BC?

A) 12.6 cm	B) 9.3 cm
C) 8.1 cm	D) 5.4 cm

A) 12.6 cm

B) 9.3 cm

C) 8.1 cm

D) 5.4 cm

Answer & Explanation Answer: A) 12.6 cm

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0 2036

If $2 x + \frac{2}{x} = 3,$ then the value of $x^{3} + \frac{1}{x^{3}} + 2$ is

A) 3/4	B) 4/5
C) 5/8	D) 7/8

A) 3/4

B) 4/5

C) 5/8

D) 7/8

Answer & Explanation Answer: D) 7/8

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0 2035

Find the common factor of $(37^{57} + 43^{57}) and (37^{37} + 43^{37})$

A) (43 - 37)	B) (43 + 37)
C) 37	D) 10

A) (43 - 37)

B) (43 + 37)

C) 37

D) 10

Answer & Explanation Answer: B) (43 + 37)

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0 2035

The side of an equilateral triangle is 14 cm. Find its area (in sq.cm).

A) 64√3	B) 49√2
C) 64√2	D) 49√3

A) 64√3

B) 49√2

C) 64√2

D) 49√3

Answer & Explanation Answer: D) 49√3

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Filed Under: Area
Exam Prep: Bank Exams

0 2035

If $P^{2} + \frac{1}{P^{2}} = 47$ , then the value of $P + \frac{1}{P}$ is

A) 5	B) 6
C) 7	D) 8

A) 5

B) 6

C) 7

D) 8

Answer & Explanation Answer: C) 7

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1 2035

O is the circumcentre of ΔABC. If AO = 8 cm, then the length of BO is

A) 12 cm	B) 3 cm
C) 6 cm	D) 8 cm

A) 12 cm

B) 3 cm

C) 6 cm

D) 8 cm

Answer & Explanation Answer: D) 8 cm

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Filed Under: Volume and Surface Area
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0 2035

Ram cycles 5 km in the south, and turns left to travel 5 km further. From there, he takes a right turn and travels 5 km more. How far is he from his original position?