average Model Questions & Answers, Practice Test for ibps clerk prelims
Average of two numbers is 14.5 and square root of their product is 10. What are the numbers?
Answer: (a)
Let numbers be a and b
∴ ${a + b}/2$ = 14.5
a + b = 29 ...(1)
$√{ab}$ = 10
ab = 100 ...(2)
By equation (1) and (2)
a = 25, b = 4
∴ Numbers are 25, 4
The average age of Mr. and Mrs Sinha at the time of their marriage in 1972 was 23 years On the occasion of their anniversary in 1976, they observed that the average age of their family had come down by 4 years compared to their average age at the time of their marriage. This was due to the fact that their son Vicky was born during that period. What was the age of Vicky in 1980?
Answer: (b)
Sum of ages of Mr. and Mrs. Sinha in 1972 = 46 years
Sum of age of their family in 1976 = 19 × 3 = 57 years
Sum of ages of Mr. and Mrs. Sinha in 1976 = (46 + 8) years = 54 years
∴ Age of Vicky in 1980 = 57 – 54 + 4 = 7 years.
The average of three numbers 70, *7 and 5* is 57. If * represents the same digit, then it must be
Answer: (a)
Average = ${70 + *7 + 5*}/3$
⇒ 57 = ${70 + *7 + 5*}/3$
⇒ 171– 70 = *7 + 5*
⇒ *7 + 5* = 101
Then, the sum of these two numbers should be equal to 101.
Therefore by looking options * must be 4.
The average monthly salary of employees, consisting of officers and workers, of an organisation is Rs. 3000. The average salary of an officer is Rs. 10,000 while that of a worker is Rs. 2000 per month. If there are total 400 employees in the organisation, find the number of officers.
Answer: (b)
Let the number of officers be x.
Number of workers = 400 – x
⇒ 10000 × x + 2000(400 – x) = 3000(400)
⇒ 10000x + 800000 – 2000x = 12,00,000
⇒ 4x = 600 – 400 = 200
⇒ x = 50
∴ Number of officers = 50
The sum of five numbers is 290. The average of the first two numbers is 48.5 and the average of last two numbers is 53.5. What is the third number?
Answer: (e)
Third number = 290
– (48.5 × 2) – (53.5 × 2)
= 290 – 97 – 107= 86
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