averages Model Questions & Answers, Practice Test for ssc chsl tier 1
The total of the ages of a class of 75 girls is 1050, the average age of 25 of them is 12 yre and that of another 25 is 16 yr. Find the average age of the remaining girls.
Answer: (c)
Average age of the remaining girls.
= ${1050 - (25 × 12 + 25 × 16)}/25$
= ${1050 - (300 + 400)}/25$
= ${1050 - 700}/25$ = 14 years
After 5 yrs, the age of a father will be thrice the age of his son, whereas five years ago, he was 7 times as old as his son was. What are their present ages?
Answer: (c)
Son's age = ${5(7 - 1) + 5(3 - 1)}/{7 - 3}$ = 10 yrs
From the first relationship of ages, if F is the age of the father then F + 5 = 3 (10 + 5)
∴ F = 40 yrs
A cricketer has completed 10 innings and his average is 21.5 runs. How many runs must he make in his next innings so as to raise his average to 24?
Answer: (c)
Total of 10 innings
= 21.5 × 10 = 215
Suppose he needs a score of x in 11th innings;
then average in 11 innings
= ${215 + x}/11 = 24$
or, x = 264 – 215 = 49
The average weight of 15 girls, was recorded as 54 kg. If the weight of the teacher was added, the average increased by two kg. What was the teacher's weight?
Answer: (d)
Wt. of teacher
= (1 × 54) + (2 × 16)
= 54 + 32 = 86
The average weight of a group of 75 girls was calculated as 47 kgs. It was later discovered that the weight of one of the girls was read as 45 kgs., whereas her actual weight was 25 kgs. What is the actual average weight of the group of 75 girls? (Rounded off to two digits after decimal)
Answer: (b)
Additional weight = 45 – 25 = 20 kg.
∴ Actual average weight
= 47 – $20/75$ = 46.73 kg.
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