Quantitative Aptitude - Arithmetic Ability Questions

Q:

sec2Acosec2A is equal to

A) sec2A -­ cosec2A B) √[sec2A + cosec2A]
C) sec2A + cosec2A D) √[sec2A -­ cosec2A]
 
Answer & Explanation Answer: C) sec2A + cosec2A

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Q:

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

A) √[(1 + cosA)/2] B) √[(1 -­ cosA)/2]
C) √[(1 -­ sinA)/2] D) √[(1 + sinA)/2]
 
Answer & Explanation Answer: B) √[(1 -­ cosA)/2]

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Q:

If x2+y2+z2-8x+6y-4z+29 = 0, then find the value of z(x+y).

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

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Q:

The value of 1/64 is equal to square of

A) 0.125 B) 0.135
C) 0.145 D) 0.225
 
Answer & Explanation Answer: A) 0.125

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Q:

Two numbers are 50% and 90% lesser than a third number. By how much percent is the second number to be enhanced to make it equal to the first number?

A) 80 percent B) 40 percent
C) 44.44 percent D) 400 percent
 
Answer & Explanation Answer: D) 400 percent

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Q:

If 2x+29x = 4, then the value of 27x3+127x3

A) 180 B) 198
C) 234 D) 252
 
Answer & Explanation Answer: B) 198

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Q:

If x = [1/(√5 + √3)], y = [1/(√7 + √5)] and z = [1/(√7 + √3)], then what is the value of (x + y + z)?

A) 3/4(√7 – √3) B) √5 – √3
C) √7 + √5 D) 1/2(√7 + √3)
 
Answer & Explanation Answer: A) 3/4(√7 – √3)

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Q:

A car travels a certain distance at 32 km/h and comes back at 68 km/h. What is the average speed for total journey?

A) 50 km/hr B) 37.04 km/hr
C) 43.52 km/hr D) 56.48 km/hr
 
Answer & Explanation Answer: C) 43.52 km/hr

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