averages Model Questions & Answers, Practice Test for ssc cgl tier 1

Question :21

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

Question :22

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

Question :23

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.

Question :24

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%

Question :25

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.

ssc cgl tier 1 IMPORTANT QUESTION AND ANSWERS
Averages ssc cgl tier 1 question answer with explanation PDF

Recently Added Subject & Categories For All Competitive Exams

100+ Quadratic Equation Questions Answers PDF for Bank

Quadratic Equation multiple choice questions with detailed answers for IBPS RRB SO. more than 250 Attitude practice test exercises for all competitive exams

03-Jul-2024 by Careericons

Continue Reading »

IBPS Aptitude Linear Equations MCQ Questions Answers PDF

Linear equations multiple choice questions with detailed answers for IBPS RRB SO. more than 250 Attitude practice test exercises for all competitive exams

03-Jul-2024 by Careericons

Continue Reading »

New 100+ Compound Interest MCQ with Answers PDF for IBPS

Compound Interest verbal ability questions and answers solutions with PDF for IBPS RRB PO. Aptitude Objective MCQ Practice Exercises all competitive exams

02-Jul-2024 by Careericons

Continue Reading »

100+ Mixture and Alligation MCQ Questions PDF for IBPS

Most importantly Mixture and Alligation multiple choice questions and answers with PDF for IBPS RRB PO. Aptitude MCQ Practice Exercises all Bank Exams

02-Jul-2024 by Careericons

Continue Reading »