average Model Questions & Answers, Practice Test for ibps clerk mains
The average of five numbers is 34.4. The average of the first and the second number is 46.5. The average of the fourth and the fifth number is 18. What is the third number ?
Answer: (e)
Third number
= 5 × 34.4 – 2 × 46.5 – 2 × 18
= 172 – 93 – 36 = 43
If 6 years are subtracted from the present age of Gagan and the remainder is divided by 18, then the present age of his grandson Anup is obtained. If Anup is 2 years younger to Madan whose age is 5 years, then what is Gagan’s present age?
Answer: (a)
Anup's age = (5 – 2) years = 3 years.
Let Gagan's age be x years.
Then, ${x - 6}/18 = 3$
⇔ x – 6 = 54 ⇔ x = 60.
Find the average of the following set of numbers 132, 148, 164, 128, 120, 136
Answer: (a)
Avg. = ${132 + 148 + 164 + 128 + 120 + 136}/6$
= 138
The average of 5 consecutive numbers A, B, C, D and E is 48. What is the product of A and E?
Answer: (e)
Let A = x
According to the question
x + x +1 + x + 2 + x + 3 + x +4
= 5 × 48
5x + 10 = 240
5x = 230
∴ x = 46
∴ E = 46 + 4 = 50
∴ A × E = 46 × 50 = 2300
In a family, a couple has a son and daughter. The age of the father is three times that of his daughter and the age of the son is half of his mother. The wife is nine years younger to her husband and the brother is seven years older than his sister. What is the age of the mother?
Answer: (d)
Let the mother's age be y years.
∴ The age of father = (y + 9) years
The age of son = $y/2$ years
The age of daughter = $(y/2 - 7)$ years
Now according to the given condition,
$(y + 9) = 3(y/2 - 7)$
⇒ $y + 9 = {3y - 42}/2$
⇒ 2y + 18 = 3y – 42
⇒ y = 60 years
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