Quantitative Aptitude - Arithmetic Ability Questions

Q:

A train 110 metres long is running with a speed of 60 kmph . In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?

A) 5 sec B) 6 sec
C) 7 sec D) 10 sec
 
Answer & Explanation Answer: B) 6 sec

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Filed Under: Problems on Trains
Exam Prep: Bank Exams

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Q:

If tan(A/2) = x, then the value of x is

A) (1 - cosA)/sinA B) (1 + cosA)/sinA
C) √[(1 - cosA)/sinA] D) √[(1 + cosA)/sinA]
 
Answer & Explanation Answer: A) (1 - cosA)/sinA

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Q:

A boy spends Rs 20 to purchase toffees at Rs 1 each. Next day, he purchased some toffees for Rs 40 with a discount of 50 paise per toffee. What is the average price per toffee (in paise)?

A) 45 B) 60
C) 40 D) 55
 
Answer & Explanation Answer: B) 60

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Filed Under: Average
Exam Prep: Bank Exams

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Q:

A person driving at the speed of 40 kmph reaches office 1 minute early while he reaches 3 minutes late if driving at 36 kmph. What is the distance in km that she is covering?

A) 24 B) 28
C) 32 D) 30
 
Answer & Explanation Answer: A) 24

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

Δ DEF is right angled at E. If m∠D = 45%., then Cosec F =

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

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If x = cosecθ - sinθ and y = secθ - cosθ, then the relation between x and y is

A) x2+ y2+ 3 =1 B) x2y2 (x2+ y2+3)=1
C) x2 (x2+ y2 - 5)=1 D) y2 (x2+ y2 - 5)=1
 
Answer & Explanation Answer: B) x2y2 (x2+ y2+3)=1

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

Two men are on opposite sides of a tower. They measure the angles of elevation of the top of the tower as 30 ̊ and 45 ̊ respectively. If the height of the tower is 50 m, the distance between the two men is (Take √3 = 1.73)

A) 136.5 m B) 50 √3 m
C) 100 √3 m D) 135.5 m
 
Answer & Explanation Answer: A) 136.5 m

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Filed Under: Height and Distance
Exam Prep: Bank Exams

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Q:

If Cot θ = 21/20, then what is the value of Cosec θ?

A) 21/29 B) 29/21
C) 20/29 D) 29/20
 
Answer & Explanation Answer: D) 29/20

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Filed Under: Simplification
Exam Prep: Bank Exams

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