Quantitative Aptitude - Arithmetic Ability Questions

Q:

What is the area (in sq cm) of a rectangle if its diagonal is 51 cm and one of its sides is 24 cm?

A) 540 B) 810
C) 1080 D) 360
 
Answer & Explanation Answer: C) 1080

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Q:

Let O be the orthocentre of the triangle ABC. If ∠BOC = 150°, Then ∠BAC is

A) 30° B) 60°
C) 90° D) 120°
 
Answer & Explanation Answer: A) 30°

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Q:

If tan θ + cot θ = x, then what is the value of tan4θ + cot4θ?

A) (x3 – 3)2 + 2 B) (x4 – 2x) + 4
C) x2 (x2 – 4) + 2 D) x
 
Answer & Explanation Answer: C) x2 (x2 – 4) + 2

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Q:

θ is a positive acute angle and sinθ ­ cosθ = 0, then the value of secθ + cosecθ is

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

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Q:

Δ PQR is right angled at Q. If m√R = 30°, then what is the value of Cot P?

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

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Q:

In the following question, select the odd letters from the given alternatives.

A) DGJ B) KNQ
C) RUX D) ILN
 
Answer & Explanation Answer: D) ILN

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Q:

If θ is positive acute angle and 7cos2Ɵ + 3sin2Ɵ = 4, then the value of θ is

A) 60° B) 30°
C) 45° D) 90°
 
Answer & Explanation Answer: A) 60°

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Q:

A solid sphere of radius 3 cm is melted to form a hollow right circular cylindrical tube of length 4 cm and external radius 5 cm. The thickness of the tube is

A) 1 cm B) 9 cm
C) 0.6 cm D) 1.5 cm
 
Answer & Explanation Answer: A) 1 cm

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