Quantitative Aptitude - Arithmetic Ability Questions

Q:

If a * b = 2a - 3b + ab, then 3 * 5 + 5 * 3  is equal to : 

A) 22 B) 23
C) 24 D) 25
 
Answer & Explanation Answer: A) 22

Explanation:

3 * 5 + 5 * 3 = (2 * 3 - 3 * 5 + 3 * 5) + ( 2 * 5 - 3 * 3 + 5 * 3)

                    = (6 + 10 - 9 + 15) = 22.

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Filed Under: Simplification

88 39025
Q:

One side of a rectangular field is 15m and one of its diagonal is 17m. Find the area of field?

A) 110 B) 120
C) 130 D) 140
 
Answer & Explanation Answer: B) 120

Explanation:

Other side = [(17 x 17) - (15 x 15)] = (289 - 225) = 8m
Area = 15 x 8 =120 sq. m

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

73 39010
Q:

A sequence a, ax, ax2, ......, axn, has odd number of terms. Then the median is

 

A) axn2+1 B) axn2-1
C) axn-1 D) axn2
 
Answer & Explanation Answer: D) axn2

Explanation:
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Filed Under: Probability
Exam Prep: Bank Exams

9 39005
Q:

Find the average of first 20 multiples of 9.

 

A) 94.8 B) 94.7
C) 94.6 D) 94.5
 
Answer & Explanation Answer: D) 94.5

Explanation:
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Filed Under: Average
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1 38955
Q:

A Shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net Profit or loss that he makes? 

A) 4% B) 5%
C) 6% D) 8%
 
Answer & Explanation Answer: A) 4%

Explanation:

SP of first article = Rs.1000

 

Profit = 20%

 CP = SP x 100100+P% = Rs. 25003

SP of Second Article = Rs.1000

 Loss = 20%

 CP = SP x 100100-L% = Rs. 1250

 

So, Total SP = Rs.2000; Total CP = Rs.6250/3

 

As the CP is more than SP, he makes a loss.

 

Loss = CP - SP = (6250/3) - 2000 = Rs.(250/3)

 

So, Loss Percent = Lossx100/CP = 4%

 

 

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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79 38872
Q:

A contractor undertakes to do a piece of work in 40 days. He engages 100 men at the begining and 100 more  after 35 days and completes the work in stipulated time. If he had not  engaged  the additional men, how many days  behind schedule would it be finished?

A) 3 B) 5
C) 6 D) 9
 
Answer & Explanation Answer: B) 5

Explanation:

[(100 x 35) + (200 x 5)]men can finish the work in 1 day 

Therefore, 4500 men can finish the work in 1 day. 100 men can finish it in  4500/100= 45 days.

This is 5 days behind Schedule

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Filed Under: Chain Rule

64 38841
Q:

Consider the following grouped frequency distribution:

  x           f

0-10       8

10-20     12

20-30     10

30-40      p

40-50      9

 

If the mean of the above data is 25.2, then what is the value of p?

 

A) 9 B) 10
C) 11 D) 12
 
Answer & Explanation Answer: C) 11

Explanation:
Mean = (sum of fixi/ (sum of f) = (8*5 + 12*15 + 10*25 + P*35 +9*45) / (8+12+10+P+9) = 25.2
(875 + 35P)/(39+P) = 25.2
P = 11
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0 38776
Q:

A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A ?

A) Rs. 240 B) Rs. 75
C) Rs. 125 D) Rs. 354
 
Answer & Explanation Answer: A) Rs. 240

Explanation:

The ratio of A & B investments = (3x8 + 2x4):(4x8 + 5x4)

=> 8:13

=> 8/21 x 630 = 240.

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Filed Under: Partnership
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16 38567