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# Aptitude Questions and Answers with Explanation for placement, MBA

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 11 The average monthly income of A and B is Rs. 5050. The average monthly income of B and C is Rs. 6250 and the average monthly income of A and C is Rs. 5200. What is the monthly income of A? A. 2000 B. 3000 C. 4000 D. 5000
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Explanation

Let monthly income of A = a
monthly income of B = b
monthly income of C = c
a + b = 2 × 5050 .... (Equation 1)
b + c = 2 × 6250 .... (Equation 2)
a + c = 2 × 5200 .... (Equation 3)

(Equation 1) + (Equation 3) - (Equation 2)
=> a + b + a + c - (b + c) = (2 × 5050) + (2 × 5200) - (2 × 6250)
=> 2a = 2(5050 + 5200 - 6250).
=> a = 4000.
i.e., Monthly income of A = 4000.

 12 In Kiran's opinion, his weight is greater than 65 kg but less than 72 kg. His brother does not agree with Kiran and he thinks that Kiran's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Kiran? A. 70 kg B. 69 kg C. 61 kg D. 67 kg
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Explanation

Let Kiran's weight = x. Then

According to Kiran, 65 < x < 72 ----(equation 1)

According to brother, 60 < x < 70 ----(equation 2)

According to mother, x ≤ 68 ----(equation 3)

Given that equation 1,equation 2 and equation 3 are correct. By combining these equations,we can write as

65<x≤68

i.e., x = 66 or 67 or 68.

Average of different probable weights of Kiran = (66+67+68)/3=67.

 13 The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class. A. 48.55 B. 42.25 C. 50 D. 51.25
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Explanation

Average weight of 16 boys = 50.25

Total weight of 16 boys = 50.25 × 16

Average weight of remaining 8 boys = 45.15

Total weight of remaining 8 boys = 45.15 × 8

Total weight of all boys in the class = (50.25 × 16)+ (45.15 × 8)

Total boys = 16 + 8 = 24

Average weight of all the boys = [(50.25×16)+(45.15×8)]/24

= [(50.25×2)+(45.15×1)]/3.

= (16.75×2)+15.05.

= 33.5+15.05.

= 48.55.

 14 A library has an average of 510 visitors on Sundays and 240 on other days. What is the average number of visitors per day in a month of 30 days beginning with a Sunday? A. 290 B. 304 C. 285 D. 270
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Explanation

In a month of 30 days beginning with a Sunday, there will be 4 complete weeks and another two days which will be Sunday and Monday.

Hence there will be 5 Sundays and 25 other days in a month of 30 days beginning with a Sunday

Average visitors on Sundays = 510

Total visitors of 5 Sundays = 510 × 5

Average visitors on other days = 240

Total visitors of other 25 days = 240 × 25

Total visitors = (510 × 5) + (240 × 25)

Total days = 30

Average number of visitors per day

= [(510×5)+(240×25)]/30

= [(51×5)+(24×25)]3

= (17×5)+(8×25) = 85+200 = 285.

 15 A student's mark was wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by 1/2. What is the number of students in the class? A. 40 B. 45 C. 30 D. 35
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Explanation

Let the total number of students = x

The average marks increased by 1/2 due to an increase of 83 - 63 = 20 marks.

But total increase in the marks = (1/2)×x=x/2.

Hence we can write as

= x/2=20.

= x=20×2=40.

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