average Model Questions & Answers, Practice Test for ibps clerk mains
Find the average of the following set of scores: 118, 186, 138, 204, 175, 229
Answer: (e)
Required average
= ${118 + 186 + 138 + 204 + 175 + 229}/6$
= $1050/6$ = 175
Find the average of the following set of scores 221, 231, 441, 359, 665, 525
Answer: (a)
Average score
= $1/6 [221 + 231 + 441 + 359 + 665 + 525]$
= $1/6 [2442]$ = 407
The average of four consecutive even number is 9. Find the largest number
Answer: (b)
${x + x + 2 + x + 4 + x + 6}/4 = 9$
4x + 12 = 9 × 4 = 36
4x = 24
$x = 24/4 = 6$
Largest number = x + 6
= 6 + 6 = 12
If the value of 21a + 21b=1134, what is the average of a+b?
Answer: (c)
21a + 21b = 1134
or, 21 (a + b) = 1134
a + b = $1134/21 = 54$
∴ Required average = ${a + b}/2 = 54/2 = 27$
The average age of a couple is 25 years The average age of the family just after the birth of the first child was 18 years The average age of the family just after the second child was born was 15 years The average age of the family after the third and the fourth children (who are twins) were born was 12 years If the present average age of the family of six persons is 16 years, how old is the eldest child ?
Answer: (d)
The total age of the family at the birth of first child = 18 × 3 = 54
While the total age of the couple at marriage = 25 × 2 = 50.
⇒ The years from marriage till the first child's birth
= ${54 – 50}/2$ = 2 years.
The total age of family at the birth of the second child. = 15 × 4 = 60 years.
⇒ Second child was born
= ${60 – 54}/3$ = 2 years after the first.
Similarly the twins were born
= ${(12 × 6) - 60}/4$ = 3 years.
After the second child and today the twins are 4 years old.
(∵ average age of the family became 16 years from 12 years)
∴ Age of eldest son = 4 + 3 + 2 = 9 years.
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