Aptitude and Reasoning Questions

Q:

4 hrs after a goods train passed a station, another train travelling at a speed of 60 km/hr following that goods train passed through that station. If after passing the station the train overtakes the goods train in 8 hours. What is the speed of the goods train?

A) 40 km/hr B) 48 km/hr
C) 60 km/hr D) 32 km/hr
 
Answer & Explanation Answer: A) 40 km/hr

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Filed Under: Problems on Trains
Exam Prep: Bank Exams

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Q:

If (cotA - cosecA)2 = x, then the value of x is

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

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If secA = x, then the value of x is

A) √(1 -­ cot2A) B) √(1 -­ tan2A)
C) √(1 + cot2A) D) √(1 + tan2A)
 
Answer & Explanation Answer: D) √(1 + tan2A)

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

Which of the following quadratic equations has real roots?

A) 4x2 - 7x + 5 = 0 B) 5x2 - 11x + 7 = 0
C) 5x2 - 11x + 8 = 0 D) 2x2 - 7x + 5 = 0
 
Answer & Explanation Answer: D) 2x2 - 7x + 5 = 0

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Q:

The value of x for which the expressions 15 ­ 7x and 15x + 7 become equal is _____.

A) -4/11 B) 11/4
C) -11/4 D) 4/11
 
Answer & Explanation Answer: D) 4/11

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If y=2-x1+x, then what is the value of 1y+1 + 2y+1y2-1 ?

A) (1+x)(2-x)2x-1 B) (1-x)(2+x)x-1
C) (1+x)(2-x)1-2x D) (1+x)(1-2x)2-x
 
Answer & Explanation Answer: C) (1+x)(2-x)1-2x

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Q:

In the following questions, relationship between different elements are shown in the statements. These statements are followed by two conclusions. Give answer

Statements: K>L = M<=N, O < L>=P

Conclusions:

I.K>=O

II.N>=O

A) if only conclusion I is true. B) if only conclusion II is true.
C) if either conclusion I or II is true. D) if neither conclusion I nor II is true.
 
Answer & Explanation Answer: D) if neither conclusion I nor II is true.

Explanation:

I. K>=L>O, So K>=O is not true

II. O< L = M<=N, So N>=O is not true.

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Filed Under: Statement and Conclusions
Exam Prep: Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

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Q:

The mean of 14 observations is 11. One more observation is included and the new mean becomes 12. The 15th observation is

A) 20 B) 24
C) 26 D) 28
 
Answer & Explanation Answer: C) 26

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Filed Under: Average
Exam Prep: Bank Exams

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