Quantitative Aptitude - Arithmetic Ability Questions

Q:

Which one of the following cannot be the square of a natural number?

A) 32761 B) 42437
C) 81225 D) 20164
 
Answer & Explanation Answer: B) 42437

Explanation:

The square of a natural number never ends in 7.
42437 is not the square of a natural number

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Filed Under: Numbers

32 20916
Q:

A candidate got 35% of the votes polled and he lost to his rival by 2250 votes. How many votes were cast ?

A) 7500 B) 6200
C) 5600 D) 4700
 
Answer & Explanation Answer: A) 7500

Explanation:

Let the candidates be A & B
35%-----------A
65%-----------B

Difference of votes (65-35)% = 30%

=>          30% ------- 2250
Then for 100% -------- ?     => 7500

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Filed Under: Percentage
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26 20911
Q:

P and Q can complete a job in 24 days working together. P alone can complete it in 32 days. Both of them worked together for 8 days and then P left. The number of days Q will take to complete the remaining work is ?

A) 56 days B) 54 days
C) 60 days D) 64 days
 
Answer & Explanation Answer: D) 64 days

Explanation:

(P+Q)'s 1 day work = 1/24

P's 1 day work = 1/32

=> Q's 1 day work = 1/24 - 1/32 = 1/96

Work done by (P+Q) in 8 days = 8/24 = 1/3

Remainining work = 1 - 1/3 = 2/3

Time taken by Q to complete the remaining work = 2/3 x 96 = 64 days.

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Filed Under: Time and Work
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22 20872
Q:

A person takes a loan of Rs. 200 at 5% simple interest. He returns Rs.100 at the end of one year. In order clear his dues at the end of 2 years, he would pay : 

A) Rs. 100 B) Rs. 105
C) Rs. 115 D) Rs. 110
 
Answer & Explanation Answer: C) Rs. 115

Explanation:

Amount to be paid = Rs.100+200×5×1100+100×5×1100= Rs. 115.

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Filed Under: Simple Interest
Exam Prep: CAT
Job Role: Bank Clerk

35 20841
Q:

A rectangular parking space is marked out by painting three of its sides.If the length of the unpainted side is 9 feet, and the sum of the lengths of the painted sides is 37 feet, then what is the area of the parking space in square feet?

A) 126sq.ft B) 120sq.ft
C) 130sq.ft D) 135sq.ft
 
Answer & Explanation Answer: A) 126sq.ft

Explanation:

Let l = 9 ft.

Then l + 2b = 37

=> 2b = 37 – l = 37 – 9 = 28

b = 28/2 = 14 ft.

Area = lb = 9 × 14 = 126 sq. ft.

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Filed Under: Area
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16 20821
Q:

A sweet seller sells 3/5th part of sweets at a profit of 10% and remaining at a loss of 5%. If the total profit is Rs 1500, then what is the total cost price of sweets ?

A) Rs.37,500 B) Rs.36,400
C) Rs.37,415 D) Rs.36,500
 
Answer & Explanation Answer: A) Rs.37,500

Explanation:

Assume A be the cost price.

 

Therefore,
35×A×10100 - 25×A×5100 = 1500

 

=>  A = Rs 37,500.

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Filed Under: Profit and Loss
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30 20812
Q:

3 : 12 :: 5 : ?

A) 17 B) 30
C) 26 D) 32
 
Answer & Explanation Answer: B) 30

Explanation:

332 + 3 = 12552 + 5 = 30

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Filed Under: Ratios and Proportions
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79 20789
Q:

If 6 years are subtracted from the present age of Arun and the remainder is divided by 18, then the present age of his grandson Gokul is obtained. If Gokul is 2 years younger to Madan whose age is 5 years, then what is the age of Arun ?

A) 72 years B) 54 years
C) 60 years D) 47 years
 
Answer & Explanation Answer: C) 60 years

Explanation:

Let the Present age of arun is x
Gokul's age = 5-2 = 3
x-6/18 = 3
x-6 = 54
x = 60
Arun's present age = 60 years

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Filed Under: Problems on Ages
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22 20778