Quantitative Aptitude - Arithmetic Ability Questions

Q:

A laborer is engaged for 30 days on the condition that he receives Rs.25 for each day he works and is fined Rs.7.50 for each day is absent. He gets Rs.425 in all. For how many days was he absent ?

A) 10 days B) 14 days
C) 11 days D) 9 days
 
Answer & Explanation Answer: A) 10 days

Explanation:

For 30 days he receives

30 x 25 = 750
               

Actually he gets 425

Therefore, Fine is 750 - 425 =  325

 

=> No of days absent = 325/(25+7.50)= 10

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5 8534
Q:

If 25% of three-seventh of 26% of a number is 145.5, what is the number?

A) 4987 B) 5784
C) 5223 D) 4741
 
Answer & Explanation Answer: C) 5223

Explanation:

Given, 

 

25% of three-seventh of 26% of a number is 145.5

 

Let the required number be 'N'

 

i.e, 25100x37x26100xN = 145.5

 

N = 145.5x7x1000075x26

 

=> N = 5223.07

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9 8525
Q:

If logx916 = -12, then the value of x?

A) -3/4 B) 3/4
C) 81/256 D) 256/81
 
Answer & Explanation Answer: D) 256/81

Explanation:
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88 8515
Q:

P and Q can do a work in 4 hours and 12 hours respectively. P starts the work at 9am and they work alternately for one hour each. When will the work be completed ?

A) 3 am B) 12 pm
C) 1 pm D) 3 pm
 
Answer & Explanation Answer: D) 3 pm

Explanation:

Work done by P and Q in the first two hours, working alternately

= First hour P + Second hour Q

14+112=13

work is completed in 2 hours

Then, the total time required to complete the work by P and Q working alternately=2 x 3= 6hours

Thus, work will be completed at 3pm.

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10 8511
Q:

A room is 15 feet long and 12 feet broad. A mat has to be placed on the floor of the room leaving 1.5 feet space from the walls. What will be the cost of the mat at the rate of Rs. 3.50 per squire feet?

A) 378 B) 472.5
C) 496 D) 630
 
Answer & Explanation Answer: A) 378

Explanation:

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25 8508
Q:

In a mens hostel, there were 95 students. To accommodate 30 more students the average is decreased by rupees 5. But total expenditure increased by Rs.500. Find the total expenditure of the hostel now ?

A) Rs. 4680 B) Rs. 4420
C) Rs. 4960 D) Rs. 5480
 
Answer & Explanation Answer: A) Rs. 4680

Explanation:

Let the expenditure on the 95 students be 'x'

Then,

95x + 500 = 120(x – 5)
95x + 500 = 120x - 600
120x - 95x = 1100
25x = 1100
=> x = 44

Therefore, total expenditure of the hostel becomes
95 x 44 + 500 = 4680.

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18 8507
Q:

In a college, number of boys is 75% of number of girls. Difference between boys and girls is 35. On a particular day 20% boys were absent, then find the number of boys those who present?

A) 72 B) 84
C) 93 D) 81
 
Answer & Explanation Answer: B) 84

Explanation:

Ratio of girls and boys = 100% : 75% = 4:3

Difference is 1 unit = 35

So, 3 units = 35 x 3 = 105

If 20% absent, that’s mean 80% present.

So, present boys = 80% of 105 = 80×105100 = 84

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18 8498
Q:

A man purchases two articles, on selling one at loss of 20% while the other at a profit of 25%, he gains the overall profit of 5% than find the ratio of their selling price ?

A) 8 : 62.5 B) 55 : 8
C) 8 : 65 D) 64.4 : 9
 
Answer & Explanation Answer: A) 8 : 62.5

Explanation:

                      Article I                   Article II
                         -20                         25%
                                        5%
                         20%                       25%
                     

                          4              :              5

Now, Selling of first article = (4-20%) = 0.8

Selling of second article = (5+25%) =  6.25

Therefore the ratio of selling price = 8 : 62.5

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21 8496