Quantitative Aptitude - Arithmetic Ability Questions

Q:

If a3 + b3 = 19 and ab = -6 , then what is the value of a + b?

A) 5 B) 7
C) 1 D) -5
 
Answer & Explanation Answer: C) 1

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Q:

If a - b = 2 and ab = 15, then what is the value of a3- b3?

A) 152 B) 112
C) 108 D) 98
 
Answer & Explanation Answer: D) 98

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Q:

What is the value of sin (90° + 2A)[4  cos2(90°  2A)]?

A) 2(cos3 A – sin3 A) B) 2(cos3 A + sin3 A)
C) 4(cos6 A+ sin6 A) D) 4(cos6 A – sin6 A)
 
Answer & Explanation Answer: D) 4(cos6 A – sin6 A)

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Q:

Which of the following will yield a reclining decimal?

A) 6024 B) 3024
C) 9024 D) 12024
 
Answer & Explanation Answer: C) 9024

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Q:

If  tan2A / (secA -­ 1)2 = x, then the value of x is

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

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Q:

The bus fare between two cities is increased in the ratio 25:29. Find the increase in the fare, if the original fare is Rs. 625

A) Rs 725 B) Rs 145
C) Rs 290 D) Rs 100
 
Answer & Explanation Answer: D) Rs 100

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Q:

The distance between two places A and B is 60 km. Two cars start at the same time from A and B, travelling at a speed of 35km/h and 25km/h, respectively. If the cars run in the same direction, then they will meet after ( in hours)

A) 6.5 B) 6.2
C) 6 D) 6.52
 
Answer & Explanation Answer: C) 6

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Q:

Which one is the largest among the fractions (5/113), (7/120), (13/145) and (17/160)?

A) 5/113 B) 7/120
C) 13/145 D) 17/160
 
Answer & Explanation Answer: D) 17/160

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