Quantitative Aptitude - Arithmetic Ability Questions

Q:

Δ DEF is right angled at E. If m∠F = 45°, then what is the value of 2 Sin F x Cot F?

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

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Filed Under: Simplification
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Q:

If 6x + 4(2-x) > 3x -2 > 5x/2 - x/4; then value of x is

A) 0 B) 1
C) 3 D) 2
 
Answer & Explanation Answer: C) 3

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Q:

If cot(A/2) = x, then the value of x is

A) cosecA -­ cotA B) cosecA + cotA
C) secA + cotA D) secA -­ cotA
 
Answer & Explanation Answer: B) cosecA + cotA

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Q:

For which value of ‘g’ the linear graph of 6x + 12y +9 = 0 and 2x + gy + 3 =0 has infinite number of solutions?

A) 3 B) 4
C) 6 D) 9
 
Answer & Explanation Answer: B) 4

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Q:

Choose the word is least like the other words in the group

A) Canoe B) Dingy
C) Yatch D) Igloo
 
Answer & Explanation Answer: D) Igloo

Explanation:

Canoe, Dingy, Yatch are the type of boats while igloo is a type of houses.

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Filed Under: Odd Man Out
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Q:

Suresh goes on a trip on his motor-cycle and rides for 410 kms. If he rides for 5 hours at a speed of 50 km/hr, find at what speed he travels for the remaining 4 hours of the journey?

A) 47 km/hr B) 40 km/hr
C) 56 km/hr D) 48 km/hr
 
Answer & Explanation Answer: B) 40 km/hr

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Filed Under: Time and Distance
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Q:

If cosecA - cotA = x, then the value of x is

A) sinA/(1 - cosA) B) √[sinA/(1 + cosA)
C) sinA/(1 + cosA) D) √[sinA/(1 - cosA)]
 
Answer & Explanation Answer: C) sinA/(1 + cosA)

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Q:

In ΔPQR, S and T are points on side PQ and PR respectively. ST is parallel to QR. If lengths of PS, SQ and PR are 6 cm, 9 cm and 12.5 cm respectively, what is the length of TR?

A) 7.5 cm B) 5 cm
C) 10 cm D) 2.5 cm
 
Answer & Explanation Answer: A) 7.5 cm

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Filed Under: Volume and Surface Area
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