averages Model Questions & Answers, Practice Test for ssc cgl tier 1
ssc cgl tier 1 SYLLABUS WISE SUBJECTS MCQs
Computation of whole numbers, decimals, fractions and relationships between numbers
Percentage
Averages
The average of five numbers is 281. The average of the first two numbers is 280 and the average of the last two numbers is 178.5. What is the third number ?
Answer: (b)
According to question
Third number = (281 × 5) – [(2 × 280) + (2 × 178.5)
or, 560 + x + 357 = 1405
or, x = 1405 – 917 = 488
The average weight of 45 students in a class was calculated as 36 kg. It was later found that the weight of two students in the class was wrongly calculated. The actual weight of one of the boys in the class was 32 kg. but it was calculated as 34 kg, and the weight of another boy in the class was 45 kg. whereas it was calculated as boy in the class was 45 kg. whereas it was calculated as 40 kg. What is the actual average weight of the 45 students in the class ? (Rounded off to two digits after decimal)
Answer: (b)
Average = ${(45 × 36) + 32 - 34 + 45 - 40}/45$
= ${1620 + 3}/45$ = 36.07 kg
The present ages of three persons are in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).
Answer: (a)
Let their present ages be 4x, 7x and 9x years respectively.
Then, (4x – 8) + (7x – 8) + (9x – 8) = 56 ⇔ 20x = 80 ⇔ x = 4.
∴ Their present ages are 16 yrs, 28 yrs. and 36 yrs. respectively.
A person invested part of Rs. 45000 at 4% and the rest at 6%. If his annual income from both are equal, then what is the average rate of interest?
Answer: (a)
Let a person invest 4% of x.
According to question
∴ ${x × 4}/100 = (45000 - x)/100 × 6$
⇒ 2x = 45000 × 3 – 3x
⇒ $x = {45000 × 3}/5$ = Rs. 27000
Another part is Rs. 18000.
Let r = Average rate of interest
Interest for 1st part in one year = ${27000 × 4}/100$ = Rs. 1080
Similarly, interest for rest part in one year = 1080
∵ Total interest = Rs. 2160
∴ ${45000 × r}/100$ = 2160
⇒ r = $216/45$ = 4.8%
The average weight of students in a class is 43 kg. Four new students are admitted to the class whose weights are 42 kg, 36.5 kg, 39 kg and 42.5 kg respectively. Now the average weight–of the students of the class is 42.5 kg, The number of students in the beginning was
Answer: (b)
Let the no. of students in the beginning be x.
According to question
⇒ ${43x + 42 + 36.5 + 38 + 42.5}/(x + 4) = 42.5$
⇒ ${43x + 160}/(x + 4) = 42.5$
⇒ 43x + 160 = 42.5 x + 170
⇒ 0.5x = 10 ⇒ x = 20
So, option (c) is correct.
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