Aptitude and Reasoning Questions

Q:

If y=2secθ and x=3tanθ then x29-y24 is

A) 0 B) -1
C) 2 D) 1
 
Answer & Explanation Answer: B) -1

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Q:

A boat covers 143 km upstream in 13 hours and the same distance downstream in 11 hours. What is the speed (in km/hr) of the boat in still water?

 

A) 10 B) 12
C) 14 D) 8
 
Answer & Explanation Answer: B) 12

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Filed Under: Boats and Streams
Exam Prep: Bank Exams

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Q:

The mean of the 5 smallest numbers from a group is 15 while the mean of all the 13 members of the group taken together is 17. What is the mean of the 8 largest numbers?

A) 18.50 B) 17.75
C) 18.75 D) 18.25
 
Answer & Explanation Answer: D) 18.25

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Filed Under: Average
Exam Prep: Bank Exams

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Q:

If 22, x, 88 are in a continued proportion, find the value of x.

A) 22 B) 33
C) 44 D) 36
 
Answer & Explanation Answer: C) 44

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

The addition of a rational number and its reciprocal is 61/30. Calculate the number.

A) 5/6, 6/5 B) 5/6, 7/5
C) 7/6, 6/5 D) 7/6, 7/5
 
Answer & Explanation Answer: A) 5/6, 6/5

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

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Q:

What is the value of tan 7π/4?

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

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

The sum of all prime numbers between 18 and 32 is:

A) 99 B) 100
C) 102 D) 97
 
Answer & Explanation Answer: C) 102

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

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Q:

What is the value of [(cos 3θ + 2cos 5θ + cos 7θ)÷(cos θ + 2cos 3θ + cos 5θ)] + sin 2θ tan 3θ?

A) cos 2θ B) sin 2θ
C) tan 2θ D) cot θ sin 2θ
 
Answer & Explanation Answer: A) cos 2θ

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Filed Under: Simplification
Exam Prep: Bank Exams

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