Aptitude and Reasoning Questions

Q:

If θ be positive acute angle and 5cosθ + 12sinθ = 13, then the value of cosθ is

A) 12/13 B) 5/13
C) 5/12 D) 1/5
 
Answer & Explanation Answer: B) 5/13

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Q:

In ΔDEF measure of angle E is 90°. If cosD = 8/17, and DE = 16cm, then what is the length (in cm) of side DF?

 

A) 30 B) 20
C) 26 D) 34
 
Answer & Explanation Answer: D) 34

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Filed Under: Area
Exam Prep: Bank Exams

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Q:

On walking 100 metres towards a building in a horizontal line, the angle of elevation of its top changes from 45 to 60 deg. What will be the height (in metres) of the building?

A) 50(3 + √3) B) 100(√3 + 1)
C) 150 D) 100√3
 
Answer & Explanation Answer: A) 50(3 + √3)

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Filed Under: Height and Distance
Exam Prep: Bank Exams

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Q:

Δ LMN is right angled at M. If m∠N = 45°, what is the length of MN (in cm), if NL = 9√2 cm?

A) 9√2 B) 9/√2
C) 18 D) 9
 
Answer & Explanation Answer: D) 9

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Filed Under: Area
Exam Prep: Bank Exams

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Q:

A piece of paper is folded and punched as shown in the below figure. Then which image indicates when it is opened?

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

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Filed Under: Image Analysis
Exam Prep: Bank Exams

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Q:

Two numbers are 10% and 20% lesser than a third number respectively. By how much percent is the second number should be enhanced to make it equal to the first number?

A) 10 B) 15
C) 12.5 D) 8
 
Answer & Explanation Answer: C) 12.5

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Filed Under: Numbers
Exam Prep: Bank Exams

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Q:

A train left 1 hour later than the scheduled time but in order to reach its destination 200 km away in time, it had to increase its usual speed by 10 km/hr. What is the usual speed (in km/hr) of the train?

A) 38 B) 42
C) 45 D) 40
 
Answer & Explanation Answer: D) 40

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Filed Under: Problems on Trains
Exam Prep: Bank Exams , CAT

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Q:

A shopkeeper by selling 21 Nike shoes, earns a profit equal to the selling price of 5 Nike shoes. His profit percentage is

A) 31.25 percent B) 23.8 percent
C) 47.6 percent D) 16.35 percent
 
Answer & Explanation Answer: A) 31.25 percent

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Filed Under: Percentage
Exam Prep: Bank Exams

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