Quantitative Aptitude - Arithmetic Ability Questions

Q:

If x - 1/x = 1 then what is the value of 1x1x-1-1x+1+1x2+1-1x2-1?

A) ±√5 B) 2/5
C) ±2/√5 D) ±√5/2
 
Answer & Explanation Answer: C) ±2/√5

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Q:

ΔXYZ is right angled at Y. If m∠Z = 60°, then Cosec X =

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

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Q:

If 2secA - (1 + sinA)/cosA = x, then the value of x is

A) cosecA/(1+sinA) B) cosA/(1+sinA)
C) cosA(1+sinA) D) cosecA(1+sinA)
 
Answer & Explanation Answer: B) cosA/(1+sinA)

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Q:

If P = 7 + 4√3 and PQ = 1, then what is the value of 1/P2 + 1/Q2?

A) 196 B) 194
C) 206 D) 182
 
Answer & Explanation Answer: B) 194

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Q:

A person clapped his hands near a cliff and heard echo after 6 s. The distance of the cliff from the personis: [take v = 346 m/s]

A) 1038 m B) 1083 m
C) 2076 m D) 2706 m
 
Answer & Explanation Answer: A) 1038 m

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Q:

Surya works 3 times as fast as Ramya and is able to complete a work in 40 days less than the number of days taken by Ramya. Find the time in which they can complete the work together.

A) 20 days B) 15 days
C) 25 days D) 30 days
 
Answer & Explanation Answer: B) 15 days

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Q:

The average age of A and B is 18 years. After 3 years, C joins them and the average ages of A, B and C becomes 22 years. The age of C is ?

A) 20 years B) 21 years
C) 24 years D) 23 years
 
Answer & Explanation Answer: C) 24 years

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Q:

If a - b = 2 and ab = 24, then what is the value of a3- b3?

A) 280 B) 124
C) 140 D) 152
 
Answer & Explanation Answer: D) 152

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