average Model Questions & Answers, Practice Test for ibps so prelims
The population of a state increased from 100 million to 169 million in two decades. What is the average increase in population per decade?
Answer: (a)
The difference of population in two decades
= 169 – 100 = 69 million
∴ Increase in population in first decade
= $69%/2$ = 34.5%
Let a, b, c, d, e, f, g be consecutive even numbers and j, k, l, m, n be consecutive odd numbers. What is the average of all the numbers ?
Answer: (d)
when a, b, c, d, e, f, g are consecutive even no then no or
d – 6, d – 4, d – 2, d + 2, d + 4, d + 6
Total = 7d
Similarly,
When J, K, L, m and n be consecutive odd no. then
numbers are l – 4, l – 2, l, l + 2, l + 4
Total = 5l
Average = ${5l + 7d}/12$
The average weight of 45 students in a class was calculated as 36 kgs. It was later found that the weight of two students in the class was wrongly mentioned. The actual weight of one of the boys in the class was 32 kgs. but it was mentioned as 34 kgs and the weight of another boy in the class was 45 kgs. whereas it was mentioned as 40 kgs. What is the actual average weight of the 45 students in the class? (Rounded off to two-digits after decimal)
Answer: (b)
Actual average weight
= $36 + (32 + 45 - 34 - 40)/45$
= 36 + $3/45$
= 36 + 0.07 = 36.07 kgs.
The average age of 24 students and the class teacher is 16 years If the class teacher’s age is excluded, the average reduces by one year. What is the age of the class teacher?
Answer: (a)
Age of the class teacher = 25 × 16 – 24 × 15
= 400 – 360 = 40 yrs.
If the mean age of combined group of boys and girls is 18 years and the mean of age of boys is 20 and that of girls is 16, then what is the percentage of boys in the group ?
Answer: (a)
Let number of boys and girls be x and y
ATQ ${20x + 16y}/{x + y}$ = 18
20x + 16y = 18x + 18y
2x = 2y ⇒ x = y
i.e. boys are 50% of group
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