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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

Which of the following relation is CORRECT?

 

I. (√15 + √7) < (2√22)

II. (√17 + √5) < (√20 + √2)

 

A) Only I B) Only II
C) Neither I nor II D) Both I and II
 
Answer & Explanation Answer: A) Only I

Explanation:
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Filed Under: Square Roots and Cube Roots
Exam Prep: Bank Exams

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Q:

Two trains running in opposite directions cross a pole placed on the platform in 47 seconds and 31 seconds respectively. If they cross each other in 33 seconds, what is the ratio of their speeds?

A) 1:7 B) 7:1
C) 2:3 D) 3:2
 
Answer & Explanation Answer: A) 1:7

Explanation:

Let the speed of the trains be x and y respectively
length of train1 = 47x
length of train2 = 31y
Relative speed= x + y
Time taken to cross each other = 33 s
=> 47x+31yx+y= 33
=> (47x + 31 y) = 33(x + y)
=> 14x = 2y
=> x/y = 2/14 = 1/7

 = 1:7

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Filed Under: Time and Distance
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

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Q:

Odd man out of the series - 15, 19, 27, 38, 55, 75?

A) 27 B) 38
C) 55 D) 75
 
Answer & Explanation Answer: B) 38

Explanation:

The given series is 15, 19, 27, 38, 55, 75

15

15 + 4 = 19

19 + 8 = 27

27 + 12 = 39

39 + 16 = 55

55 + 20 = 75

 

Hence, the odd number in the given series is 38.

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

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Q:

Dianna deposits $725 into a savings account that pays 2.3% simple annual interest. How much interest will Dianna earn after 18 months?

A) 23.01 B) 24.01
C) 25.01 D) 26.01
 
Answer & Explanation Answer: C) 25.01

Explanation:

I = Prt

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams
Job Role: Bank PO

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Q:

A boat covers 63 km upstream in 9 hours and covers the same distance downstream in 7 hours . What is the speed (in km/ hr) of the boat in still water?

A) 8.7 B) 8.5
C) 7 D) 8
 
Answer & Explanation Answer: D) 8

Explanation:
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Filed Under: Boats and Streams

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Q:

A train 150 m long is running with a speed of 68 km/h. In what time will it pass a man who is running at 8 km/ h in the same direction in which the train is going?

A) 8 sec B) 8.5 sec
C) 9 sec D) 9.5 sec
 
Answer & Explanation Answer: C) 9 sec

Explanation:

Relative speed = 68-8 = 60 km/hr = 60 X 5 / 18 m/s = 50/3 m/s

Total distance = 150 m

Time taken to pass a man running in same direction = 150 X 3/50 = 9 seconds

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Filed Under: Problems on Trains
Exam Prep: Bank Exams

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Q:

A farmer buys a goat and a sheep for Rs 3500. He sold the sheep at a profit of 20 percent and the goat at a loss of 10 percent. If he sold both the animals at the same price, then the cost price (in Rs) of the cheaper animal was?

A) 2000 B) 1500
C) 1750 D) 2250
 
Answer & Explanation Answer: B) 1500

Explanation:
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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

K, L and M can do a piece of work in 20, 30 and 60 days respectively. In how many days can K do the total work if he is assisted by L and M on every third day ?

A) 15 days B) 13 days
C) 12 days D) 10 days
 
Answer & Explanation Answer: A) 15 days

Explanation:

In one day work done by K = 1/20

Work done by K in 2 days = 1/10

 

Work done by K,L,M on 3rd day =1/20 + 1/30 + 1/60 = 1/10

Therefore, workdone in 3 days is = 1/10 + 1/10 = 1/5

 

1/5th of the work will be completed at the end of 3 days.

The remaining work = 1 - 1/5 = 4/5

1/5 of work is completed in 3 days

Total work wiil be done in 3 x 5 = 15 days.

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Filed Under: Time and Work
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

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