average Model Questions & Answers, Practice Test for ibps clerk mains

ibps clerk mains SYLLABUS WISE SUBJECTS MCQs

Number Systems

Average

Question :16

Find the average of the following set of scores. 965, 362, 189, 248, 461, 825, 524, 234

Answer: (b)

Required average

= ${965 + 362 + 189 + 248 + 461 + 825 + 524 + 234}/8$

= $3808/8 = 476$

Question :17

Tanya’s grandfather was 8 times older to her 16 years ago. He would be 3 times of her age 8 years from now. Eight years ago, what was the ratio of Tanya’s age to that of her grandfather?

Answer: (d)

16 years ago, let T = x years and G = 8x years

After 8 years from now,

T = (x + 16 + 8) years and G = (8x + 16 + 8) years.

∴ 8x + 24 = 3(x + 24) ⇔ 5x = 48.

8 years ago, $T/G = {x + 8}/{8x + 8}$

${48/5 + 8}/{8 × 48/5 + 8} = 88/424 = 11/53$

Question :18

The average of 30 observations is 45. If three new observations 42, 44 and 48 be added, find the new average.

Answer: (d)

Total of 30 observation

= 45 × 30 = 1350

Total of 33 observation

= 1350 + 42 + 44 + 48 = 1484

New average = $1484/33 = 44.97$

Question :19

The average age of 60 boys in a class was calculated as 12 years It was later realised that the actual age of one of the boys in the class was 12.5 years but it was calculated as 14 years What is the actual average age of the boys in the class ?

Answer: (d)

Let S be the sum of ages of 60 boys

Then, 12 = $S/60$ ... (1)

New average A = ${S - 14 + 12.5}/60$

= $S/60 - 105/60$

= 12 – 0.025 = 11.975

Question :20

Find the average of the following set of scores : 152, 635, 121, 423, 632, 744, 365, 253, 302

Answer: (e)

Avg. = ${192 + 635 + 121 + 423 + 632 + 744 + 365 + 253 + 302}/9$

= 366$7/9$ = 407.4

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