20 Questions MCQ Test Quantitative Techniques for CLAT - Test: Average- 1
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Average score of Rahul, Manish & Suresh is 63. Rahul's score is 15 less than Ajay and 10 more than Manish. If Ajay scored 30 marks more than the average score of Rahul, Manish & Suresh, what is the sum of Manish's and Suresh's score?
Detailed Solution for Test: Average- 1 - Question 4
Let score of Rahul, Manish, Suresh, Ajay be r, m, s, a respectively
Average score of Rahul, Manish & Suresh is 63
⇒ Total score of Rahul, Manish & Suresh = 3 x 63 = 189
⇒ r + m + s = 189 — (i)
Rahul's score is 15 less than Ajay and 10 more than Manish
r = a - 15 —(2)
r = m + 10 — (3)
Ajay scored 30 marks more than the average score of Rahul, Manish & Suresh
⇒ 3a = r + m + s + 90 ----(4)
Using the value of r + m + s from (i) in (4)
3a = 189 + 90
a = 93
Using the value of a in (2)
r = 93 - 15
r = 78
Using the value of r in (i)
78 + m + 3 = 189
m + s = 111
i.e., sum of Manish's and Suresh's score = 111
Average age of 54 girls in a class was found to be 10 years. It was later on realised that the actual age of one of the girls in the class was 8 years but it was wrongly taken as 18. The actual average age of the girls in the class is
Detailed Solution for Test: Average- 1 - Question 7
Summation of ages of 54 girls= 54*10= 540 since 18 is mistakely taken in place of 8 so total summation of ages of girls after correction= 540-18+8= 530 Now the actual average age of the girls = 530/54 =9.81
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