average Model Questions & Answers, Practice Test for ibps so prelims
Average age of 36 children of the class is 15 years. 12 more children joined whose average age is 16 years. What is the average age of all the 48 children together?
Answer: (b)
Required average age = $({15 × 36 + 12 × 16}/{36 + 12})$ years
= $({540 + 192}/48)$ years
= $(732/48)$ years = 15.25 years.
The sum of ages of a father, a mother, a son Sonu and daughters Savita and Sonia is 96 years. Sonu is the youngest member of the family. The year Sonu was born, the sum of the ages of all the members of the family was 66 years. If the father's age now is 6 times that of Sonu's present age, then 12 years hence, the father's age will be
Answer: (d)
Let present age of son is x years
Then, Sum of present age of all 5 members of the family = 96
Now, from question, at the time the son sonu was born i.e. a time before x years, sum of ages of 4 member of the family = 66.
So, 66 + 5x = 96
5x = 30 ⇒ x = 6.
Sonu's present age = 6 years
Sonu's father present age = 6 × 6 = 36 years
12 years hence father's age = 36 + 12 = 48 years
The average of 11 results is 50. If the average of first 6 results is 49 an that of last 6 is 52, find the 6th result.
Answer: (c)
6 × 49 + 6 × 52 – 11 × 50
= 294 + 312– 550 = 56
The average age of a family of five members is 24. If the present age of the youngest member is 8 years, what was the average age of the family at the time of the birth of the youngest member?
Answer: (b)
${120 - 8 × 5}/4 = 20$
The sum of five numbers is 924. The average of first two numbers is 201.5 and the average of last two number is 196. What is the third number ?
Answer: (a)
Third number
= 924 – (2 × 2015 + 2 × 196)
= 924 – (403 + 392)
= 924 – 795 = 129
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