Quantitative Aptitude - Arithmetic Ability Questions

Q:

A pump can fill a tank with water in 2 hours. Because of a leak, it took 213 hours to fill the tank. The leak can drain all the water of the tank in:

A) 7 hours B) 8 hours
C) 12 hours D) 14 hours
 
Answer & Explanation Answer: D) 14 hours

Explanation:

If the total area of pump=1 part

The pumop take 2 hrs to fill 1 part 

The pumop take1 hour to fill 1/2 portion 

 

Due to lickage  

The pumop take 7/3 hrs to fill 1 part 

The pumop take1 hour to fill 3/7 portion 

Now the difference of area = (1/2-3/7)=1/14 

 

This 1/14 part of water drains in 1 hour 

Total area=1 part of water drains in (1x14/1)hours= 14 hours 

 

So the leak can drain all the water of the tank in 14 hours. 

Leak will empty the tank in 14 hrs

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Filed Under: Pipes and Cistern
Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

86 27626
Q:

One of the roots of the equation x2 - 6x + k = 0 is x = 2. The other root is

 

A) x = -1 B) x = 4
C) x = -4 D) x = 1
 
Answer & Explanation Answer: B) x = 4

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

1 27623
Q:

The area of a square is 42.25 cm². Find its perimeter (in cm).

 

A) 52 B) 26
C) 28 D) 56
 
Answer & Explanation Answer: B) 26

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

0 27572
Q:

A, B, C subscribe Rs. 50,000 for a business, A Subscribes Rs. 4000 more than B and B Rs. 5000 more thanC. Out of a total profit  of Rs. 35,000, A receives :

A) 14700 B) 15000
C) 12000 D) 13500
 
Answer & Explanation Answer: A) 14700

Explanation:

Let C = x. Then, B = x + 5000  and A =  x + 5000 + 4000 = x + 9000.

So,  x + x + 5000 + x + 9000 = 50000  <=>  3x = 36000  <=>

x = 12000.

A : B : C =  21000 : 17000 : 12000 = 21 : 17 : 12.

A's share = Rs. (35000 * 21/50 ) = Rs. 14,700.

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Filed Under: Partnership

25 27571
Q:

What percent decrease in salaries would exactly cancel out the 20 percent increase ?

A) (16 + 2/3) % B) (15 + 2/3)%
C) (14 +1/3)% D) (13 + 4/5)%
 
Answer & Explanation Answer: A) (16 + 2/3) %

Explanation:

Let the orginal salary = Rs. 100. New's salary = Rs.120.

Decrease on 120 = 20. Decrease on 100 = [(20/120)*100]% = (16 + 2/3) %. 

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Filed Under: Percentage

55 27562
Q:

The wages of labourers in a factory increases in the ratio 22:25 and there was a reduction in the number of labourers in the ratio 15:11. Find the original wage bill if the present bill is Rs. 5000 ?

A) Rs. 5500 B) Rs. 6000
C) Rs. 6200 D) Rs. 6350
 
Answer & Explanation Answer: B) Rs. 6000

Explanation:

The wages of labourers in a factory increases in the ratio 22:25 and there was a reduction in the number of labourers in the ratio 15:11. Find the original wage bill if the present bill is Rs 5000 ?
Ratio of increase of wages = 22:25
Ratio of decrease of labourers = 15:11
Compound ratio of wages of labourers = 22 x 15 : 25 x 11 = 330:275
Final bill = Rs. 5000
For 275 ratio wages = Rs. 5000
For 1 ratio wages = 5000/275
For 330 ratio wages = 5000/275 x 330 = Rs. 6000

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Filed Under: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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69 27539
Q:

If the sum of the interior angles of a regular polygon is 720° then how many sides does it have?

 

A) 8 B) 9
C) 6 D) 10
 
Answer & Explanation Answer: C) 6

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

0 27536
Q:

Select the wrong number from the given series?

 

6, 12, 20, 32, 42, 56, 72

A) 32 B) 20
C) 72 D) 56
 
Answer & Explanation Answer: A) 32

Explanation:
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Filed Under: Odd Man Out
Exam Prep: Bank Exams

0 27515