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Quantitative Aptitude - Arithmetic Ability

Quantitative Aptitude - Arithmetic Ability Questions

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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

Explanation:

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For what value of X, 211X will be a perfect square?

A) 4	B) 5
C) 6	D) 9

A) 4

B) 5

C) 6

D) 9

Answer & Explanation Answer: C) 6

Explanation:

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In a triangle PQR, ∠PQR = 90 deg, PQ = 10 cm and PR = 26 cm, then what is the value (in cm) of inradius of incircle?

A) 9	B) 4
C) 8	D) 6

A) 9

B) 4

C) 8

D) 6

Answer & Explanation Answer: B) 4

Explanation:

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What is the least number that when divided by 63 and 105 leaves remainder 4 in each case?

A) 634	B) 256
C) 214	D) 319

A) 634

B) 256

C) 214

D) 319

Answer & Explanation Answer: D) 319

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The areas of two similar triangles ΔXYZ and ΔPQR are 100 sq cms and 25 sq cms respectively. If PQ = 4 cm then what is the length of XY (in cm)?

A) 16	B) 14
C) 8	D) 20

A) 16

B) 14

C) 8

D) 20

Answer & Explanation Answer: C) 8

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If cot π/3c - tan π/4c = x, then the value of x is

A) √3+2	B) (1-√3)/√3
C) (1-√2)/√2	D) (√3+4)/2√3

A) √3+2

B) (1-√3)/√3

C) (1-√2)/√2

D) (√3+4)/2√3

Answer & Explanation Answer: B) (1-√3)/√3

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What is the value of $(sinA - 2 \sin^{3} A) / (2 \cos^{3} A - cosA) ?$

A) cotA	B) cosecA
C) secA	D) tanA

A) cotA

B) cosecA

C) secA

D) tanA

Answer & Explanation Answer: D) tanA

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If the value of √30 is approximately 5.477, then what is the approximate value of $\sqrt{\frac{5}{6}}$ ?

A) 0.853	B) 0.891
C) 0.913	D) 0.937

A) 0.853

B) 0.891

C) 0.913

D) 0.937

Answer & Explanation Answer: C) 0.913

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