averages Model Questions & Answers, Practice Test for ssc cgl tier 1 2023
ssc cgl tier 1 2023 SYLLABUS WISE SUBJECTS MCQs
Number System
Ratio Proportion & Partnership
Averages
Percentages
Profit & Loss
Time & Work
Time & Distance
Simple Interest & Compound Interest
Mensuration: Area & Volumes
Algebraic Expressions
Linear Equations
Squareroots & Cuberoots
The average score of a cricketer for 13 matches is 42 runs. If his average score for the first 5 matches is 54, then what is his average score (in runs) for last 8 matches?
Answer: (a)
Let $M_1 , M_2 , M_3 , ..................... M_13$ are 13 matches played by cricket players.
${M_1 + M_2 + M_3 + M_4 + M_5 + M_6 + M_7 + M_8 + M_9 + M_10 + M_11 + M_12 + M_13}/13 = 42$ ....(1)
${M_1 + M_2 + M_3 + M_4 + M_5}/5$ = 54 ... (2)
From eqns. (1) and (2)
270 + $M_6 + M_7 + M_8 + M_9 + M_10 + M_11 + M_12 + M_13$ = 42 × 13 = 546
or, ${M_6 + M_7 + M_8 + M_9 + M_10 + M_11 + M_12 + M_13}/8$
= $276/8$ = 34.5
The average age of 80 boys in a class is 15. The average age of a group of 15 boys in the class is 16 and the average age of another 25 boys in the class is 14. What is the average age of the remaining boys in the class ?
Answer: (b)
Average age of the remaining boys
= ${(80 × 15) - (15 × 16 + 25 × 14)}/40$
= ${1200 - 590}/40 = 15.25$
The average age of a group of persons going for picnic is 16 years Twenty new persons with an average age of 15 years join the group on the spot due to which their average age becomes 15.5 years The number of persons initially going for picnic is
Answer: (a)
Let the initial number of persons be x.
Then, 16x + 20 × 15 = 15.5 (x + 20)
⇔ 0.5x = 10 ⇔ x = 20.
One year ago, Preeti was four times as old as her daughter Sonal. Six years hence, Preeti’s age will exceed her daughter’s age by 9 years. The ratio of the present ages of Preeti and her daughter is :
Answer: (d)
Let the ages of Preeti and Sonal 1 year ago be 4x and x years respectively.
Then, [(4x + 1) + 6] – [(x + 1) + 6] = 9
⇔ 3x = 9 ⇔ x = 3.
∴ Required ratio = (4x + 1) : (x + 1) = 13 : 4.
Find the average of following set of numbers, 76, 48, 84, 66, 70, 64
Answer: (a)
Avg. = ${76 + 48 + 84 + 66 + 70 + 64}/6$ = 68
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