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Quantitative Aptitude - Arithmetic Ability

Quantitative Aptitude - Arithmetic Ability Questions

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If $x = \frac{4 \sqrt{ab}}{\sqrt{a} + \sqrt{b}}$ , then what is the value of $\frac{x + 2 \sqrt{a}}{x - 2 \sqrt{a}} + \frac{x + 2 \sqrt{b}}{x - 2 \sqrt{b}}$ ?

A) 0	B) 2
C) 4	D) 1

A) 0

B) 2

C) 4

D) 1

Answer & Explanation Answer: B) 2

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1573

If $x^{2} - 4 x + 1 = 0$ , then what is the value of $x^{9} + x^{7} - 194 x^{5} - 194 x^{3}$ ?

A) 4	B) – 4
C) 1	D) – 1

A) 4

B) – 4

C) 1

D) – 1

Answer & Explanation Answer: B) – 4

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1573

The first and last terms of an arithmetic progression are 25 and 52. What is the sum of the series if it has 12 terms?

A) -162	B) -110
C) 162	D) 110

A) -162

B) -110

C) 162

D) 110

Answer & Explanation Answer: A) -162

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Filed Under: Simplification
Exam Prep: Bank Exams

1 1572

${tanAcosec}^{2} A$ is equal to

A) (1 + tan2A)cotA	B) (1 - tan2A)cotA
C) √[(1 + tan2A)cotA]	D) √[(1 - tan2A)cotA]

A) (1 + tan2A)cotA

B) (1 - tan2A)cotA

C) √[(1 + tan2A)cotA]

D) √[(1 - tan2A)cotA]

Answer & Explanation Answer: A) (1 + tan2A)cotA

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1572

What is the length of the side of an equilateral triangle, if its area is 36√3 sq cm?

A) 6 cm	B) 24 cm
C) 12 cm	D) 18 cm

A) 6 cm

B) 24 cm

C) 12 cm

D) 18 cm

Answer & Explanation Answer: C) 12 cm

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Filed Under: Area
Exam Prep: Bank Exams

0 1572

If $\frac{3 a + 4 b}{3 c + 4 d} = \frac{3 a - 4 b}{3 c - 4 d}$ , then

A) ab = cd	B) ad = bc
C) ac = bd	D) a = b = c ≠ d

A) ab = cd

B) ad = bc

C) ac = bd

D) a = b = c ≠ d

Answer & Explanation Answer: B) ad = bc

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Filed Under: Simplification
Exam Prep: Bank Exams

0 1571

The HCF of two numbers is 12 and their LCM is 72. If one of the two numbers is 24, then the other number is

A) 60	B) 36
C) 72	D) 48

A) 60

B) 36

C) 72

D) 48

Answer & Explanation Answer: B) 36

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Filed Under: HCF and LCM
Exam Prep: Bank Exams

4 1571

Find out the odd word/letters/number/number pair from the given alternatives.

A) Daman and Diu	B) Puducherry
C) Delhi	D) Chennai

A) Daman and Diu

B) Puducherry

C) Delhi

D) Chennai

Answer & Explanation Answer: D) Chennai

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Filed Under: Odd Man Out
Exam Prep: Bank Exams , CAT

0 1571

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