Quantitative Aptitude - Arithmetic Ability Questions

Q:

Mahesh rows to the place 80 km away and back in 20 hours. He finds that he can row 8 km downstream in the same time as 4 km upstream. The speed of the boat in stillwater is

A) 9 kmph B) 7 kmph
C) 2 kmph D) 5 kmph
 
Answer & Explanation Answer: A) 9 kmph

Explanation:
If Mahesh moves 8 km downstream in X hours

Downstream speed = 8/X kmph

upstream speed = 4/X kmph

Now 80/(8/X) + 80/(4/X)=20

X=2/3

downstream Speed = 8/(2/3)= 12 kmph

upstream Speed = 4/(2/3)= 6 kmph

Rate of the stream = (12+6)/2= 9 kmph

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Filed Under: Boats and Streams
Exam Prep: Bank Exams

10 2566
Q:

If 3A = 6B = 9C; What is A : B : C

A) 6 : 3 : 1 B) 6 : 3 : 2
C) 9 : 3 : 6 D) 9 : 3 : 1
 
Answer & Explanation Answer: B) 6 : 3 : 2

Explanation:
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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

2 2561
Q:

A & B together finish a job in 24 days, while A, B & C together can finish the same job in 8 days. C alone will finish the job in

A) 12 days B) 14 days
C) 16 days D) 24 days
 
Answer & Explanation Answer: A) 12 days

Explanation:
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Filed Under: Time and Work
Exam Prep: Bank Exams

6 2557
Q:

The average age of Hari, his wife and their two children is 23 years. His wife is just 4 years younger than Hari and his wife was 20 years old when their daughter was born. He was 28 years old when their son was born. What is the sum of the age of Hari and his daughter is?

A) 53 years B) 55 years
C) 56 years D) 50 years
 
Answer & Explanation Answer: D) 50 years

Explanation:
H+W+S+D/4 = 23
H= W+4

D =W-20 = H-24

S = H-28

H+H-4+H-24+H-28/4 = 23

H =37 D =13

H + D = 50

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Filed Under: Problems on Ages
Exam Prep: Bank Exams

1 2557
Q:

A bus starts running with the initial speed of 21 km/hr and its speed increases every hour by 3 km/hr. How many hours will it take to cover a distance of 252 km?

A) 3 B) 5
C) 8 D) 10
 
Answer & Explanation Answer: C) 8

Explanation:
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Filed Under: Time and Distance
Exam Prep: Bank Exams

3 2556
Q:

P and Q invested some money in a business in the ratio of 4 : 7 respectively. After 6 months P withdraws his capital. If they receive profits in the ratio of 4 :21, then for how many months did Q invest in the business?

A) 12 B) 15
C) 18 D) 21
 
Answer & Explanation Answer: C) 18

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Filed Under: Partnership
Exam Prep: Bank Exams , CAT

2 2552
Q:

Priya’s age was cube of an integral number (different from 1) four years ago and square of an integral number after four years. How long should she wait so that her age becomes square of a number in the previous year and cube of a number in the next year?

A) 7 years B) 12 years
C) 14 years D) 21 years
 
Answer & Explanation Answer: C) 14 years

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Filed Under: Problems on Ages
Exam Prep: Bank Exams

8 2549
Q:

In a 900 meters race, Sathish beats Kiran by 270 meters and Rahul by 340 meters. By how many meters does Kiran beat Rahul in the same race?

A) 140 B) 20
C) 100 D) 70
 
Answer & Explanation Answer: C) 100

Explanation:
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Filed Under: Time and Distance
Exam Prep: Bank Exams

19 2547