Quantitative Aptitude - Arithmetic Ability Questions

Q:

What is the ratio of radius of incircle and circumcircle for an equilateral triangle with an area of 22√3 sq. units?

A) 1/2 B) 1/4
C) 1/3 D) 2/3
 
Answer & Explanation Answer: A) 1/2

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Q:

If sec2A cosec2A = x, then x is

A) sec2A + cosec2A + 2 B) tan2A + cot2A - 2
C) tan2A + cot2A + 2 D) sec2A + cosec2A - 2
 
Answer & Explanation Answer: C) tan2A + cot2A + 2

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Q:

What is the value of Cot 45° + Cosec 60°?

A) (√6 + 1)/√3 B) (1 + √3)/2
C) 5/√3 D) (√3 + 2)/√3
 
Answer & Explanation Answer: D) (√3 + 2)/√3

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Q:

If 4x + 3y = 11 and 3x + 2y = 8, then (x,y) is

A) 2, 0 B) 1, 6
C) 2, 1 D) 5, 6
 
Answer & Explanation Answer: C) 2, 1

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Q:

If x-1x = 10, then find the value of x4+1x2

A) 98 B) 100
C) 102 D) 106
 
Answer & Explanation Answer: C) 102

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Q:

The income of S, T and U are in the ratio of 7 : 9 : 6 and their expenses in the ratio of 4 : 5 : 3. If S saves Rs 2000 out of an income of Rs 14000, then what will be the saving (in Rs) of T?

A) 2400 B) 1500
C) 3000 D) 2000  
 
Answer & Explanation Answer: C) 3000

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Filed Under: Ratios and Proportions
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Q:

A person goes from point N to P and comes back. His average speed for the whole journey is 60 km/hr. If his speed while going from N to P is 40 km/hr, then what will be the speed of the person (in km/hr) while coming back from P to N?

A) 80 B) 100
C) 120 D) 140
 
Answer & Explanation Answer: C) 120

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Filed Under: Time and Distance
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Q:

The speed of car B is half the speed of car A. If car A covers a distance of 120 km in 1.5 hours, what is the speed of car B?

A) 40 kmph B) 60 kmph
C) 30 kmph D) 50 kmph
 
Answer & Explanation Answer: A) 40 kmph

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