Quantitative Aptitude - Arithmetic Ability Questions

Q:

α and β are the roots of quadratic equation. If α + β = 8 and α – β = 2√5, then which of the following equation will have roots α4 and β4?

A) x2 – 1522x + 14641 = 0 B) x2 + 1921x + 14641 = 0
C) x2– 1764x + 14641 = 0 D) x2+ 2520x + 14641 = 0
 
Answer & Explanation Answer: A) x2 – 1522x + 14641 = 0

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Q:

If a4 + 1 = [a2 /b2 ] (4b2  b4  1), then what is the value of a4 + b4?

A) 2 B) 16
C) 32 D) 64
 
Answer & Explanation Answer: A) 2

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Q:

If 1 dupatta is offered free on purchase of 4 dupattas priced Rs 1300 each what is the effective discount on each dupatta?

A) 66.67 percent B) 20 percent
C) 25 percent D) 12.5 percent
 
Answer & Explanation Answer: B) 20 percent

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Q:

If θ is acute angle and sin(θ+18°)= 1/2, then the value of θ in circular measure is

A) Π/12 radians B) Π/15 radians
C) 2Π/5 radians D) 3Π/13 radians
 
Answer & Explanation Answer: B) Π/15 radians

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Q:

What is the value of Cot 60 - Sec 30?

A) -1/3 B) -1/√3
C) 1/√3 D) 1/3
 
Answer & Explanation Answer: B) -1/√3

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Q:

What is the value of [2 sin (45 + θ) sin (45 – θ)]/cos 2θ?

A) 0 B) tan 2θ
C) cot 2θ D) 1
 
Answer & Explanation Answer: D) 1

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Q:

What is the simplest form of (1 + cosA)(cosecA ­ cotA)?

A) cosA B) tanA
C) cotA D) sinA
 
Answer & Explanation Answer: D) sinA

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Q:

In what ratio is the segment joining points (2, 3) and (-2, 1) divided by the Y-axis?

A) 1 : 2 B) 1 : 1
C) 3 : 1 D)  2 : 3
 
Answer & Explanation Answer: B) 1 : 1

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