Quantitative Aptitude - Arithmetic Ability Questions

Q:

There were 24 studentsina class. One of them, who was 18 years old, left the class and his place was filled up by a new comer.Ifthe average of the class was thereby lowered by 1 month, the age of new comer is-

A) 14 years B) 15 years
C) 16 years D) 17years
 
Answer & Explanation Answer: C) 16 years

Explanation:

Let the age of new comer be x

Avg age decrease by 1/12 year ⇒24 X 1/12 = 18 –x

⇒x=16 years

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Filed Under: Problems on Ages
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Q:

A man starts moving from a place A and reaches the place B in 26 hours. He covers 1/3rd of the distance at the speed of 4 km/hr and covers the remaining distance at the speed of 5 km/hr. What is the distance (in km) between A and B?

A) 45 B) 80
C) 120 D) 90
 
Answer & Explanation Answer: C) 120

Explanation:
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Filed Under: Time and Work
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

Explanation:
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Filed Under: Time and Distance
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Q:

Both A and B together can complete a work in 20 days and B alone can complete the same work in 36 days. In how many days will A alone complete the work?

A) 30 B) 50
C) 45 D) 42
 
Answer & Explanation Answer: C) 45

Explanation:
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Filed Under: Time and Work
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Q:

Find the degree of the polynomial 8x4 + 2x2y3 + 4

A) 4 B) 5
C) 0 D) 1
 
Answer & Explanation Answer: B) 5

Explanation:
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Filed Under: Simplification
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Q:

If 2cosAsinB = x, then the value of x is?

A) sin(A+B) + sin(A­-B) B) cos(A+B) + cos(A­-B)
C) sin(A+B) ­- sin(A-­B) D) cos(A­-B) -­ cos(A+B)
 
Answer & Explanation Answer: C) sin(A+B) ­- sin(A-­B)

Explanation:
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Q:

For triangle ABC, find equation of median AD if co­-ordinates of points A, B and C are (2,­4), (3,0) and (5,­2) respectively?

A) 3x -­ 2y = 14 B) 3x -­ 2y = 2
C) 3x + 2y = 14 D) 3x + 2y = 2
 
Answer & Explanation Answer: A) 3x -­ 2y = 14

Explanation:
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Q:

Δ DEF is right angled at E. If m∠F = 45°, then what is the value of 2 Sin F x Cot F?

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

Explanation:
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