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WeCP Average Quiz 1

Question 1

Time: 00:00:00

The average of runs of a Sachin in 10 innings was 22. How many runs must he make in his next innings so as to increase his average of runs by 4 ? (Assume he was out in the last match)

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Explanation:

Average = total runs / no.of innings = 22

So, total = Average x no.of innings = 22 x 10 = 220.

Now increase in avg = 4runs. So, new avg = 22+4 = 26runs

Total runs = new avg x new no. of innings = 26 x 11 = 286

Runs made in the 11th inning = 286 - 220 = 66

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Question 2

Time: 00:00:00

Elon Musk is an intelligent person. He runs a company named “Tesla”. “Tesla “ makes electric vehicles. One day he came across a problem. The problem is “ The average weight of 8 persons increases by 2.5 kg when Govind comes in place of one of them weighing 65 kg.Find the weight of Govind ?” What is the answer to this problem?

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Explanation:

Total weight increased = (8 x 2.5) kg = 20 kg.

Weight of new person = (65 + 20) kg = 85 kg.

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Question 3

Time: 00:00:00

The average of five consecutive odd numbers is 53. What is the difference between the highest and lowest numbers :

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Explanation:

Let the numbers be x-4, x-2, x, x+2 and x+4

So, difference between highest and lowest number is (x+4)-(x-4)=8

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Question 4

Time: 00:00:00

Ravi Sastri is an excellent coach. He won many trophies for the team but in Ravi’s childhood Ravi’s marks were wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half. The number of students in the class is :

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Explanation:

Let there be x students in the class.

Total increase in marks = (x * 1/2) = x/2.

x/2 = (83 - 63) => x/2 = 20 => x = 40.

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Question 5

Time: 00:00:00

Ravi Sastri is an excellent coach. He won many trophies for the team. One day he wanted to calculate the mean of some observations. The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is:

42.5

36.5

None of the above

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Explanation:

Correct Sum = (36 * 50 + 48 - 23) = 1825.

Correct mean = = 1825/50 = 36.5

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Question 6

Time: 00:00:00

Rakesh Jhunjhunwala is a great investor. He is very popular among the people. He used to do maths whenever he got free time to sharpen his analytical skills. He made a problem which you have to solve. The problem is “ A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is :

175

215

285

220

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Explanation:

Since the month begins with a Sunday, so there will be five Sundays in the month,

Required average = (510 * 5 + 240 * 25) / 30 = 8550/30 = 285.

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Question 7

Time: 00:00:00

The average age of 5 women is increased by 2 years when two of them whose ages are 19 years and 35 years are replaced by two new women. The average age of the two new women is :

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Explanation:

Total age increased = (5 * 2) years = 10 years.

Sum of ages of two new women = (10+19+.35) years = 64 years

Average age of two new women = (64/2) years = 32 years.

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Question 8

Time: 00:00:00

Elon Musk is an intelligent person. He has a company named “Tesla” which makes Electric vehicles. He also invests in local companies. In one of these companies he noticed that the average salary of all the workers is Rs. 8000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the company is :

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Explanation:

Lot the total number of workers be v Then,

8OOOv = (12000 * 7) + 6000 (v - 7) <=> 2000v = 42000 <=> v = 21.

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Question 9

Time: 00:00:00

Virat Kohli is an excellent cricketer. He holds many records. Virat in his 17th innings made a score of 85 and he was out in that innings and thereby increasing his average by 3. What is his average after the 17th innings ?

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Explanation:

16x + 85 = 17(x + 3)

x = 34 + 3 = 37

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Question 10

Time: 00:00:00

Rakesh Jhunjhunwala is a great investor. He is very popular among the people. He used to do maths whenever he got free time to sharpen his analytical skills. He made a problem which you have to solve. The problem is “10 years ago, the average age of a family of 4 members was 24 years. Two children having been born (with an age difference of 2 years), the present average age of the family is the same. The present age of the youngest child is :”

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Explanation:

Total age of 4 members, 10 years ago = (24 x 4) years = 96 years.

Total age of 4 members now = [96 + (10 x 4)] years = 136 years.

Total age of 6 members now = (24 x 6) years = 144 years

Sum of the ages of 2 children = (144 - 136) years = 8 years.

Let the age of the younger child be x years.

Then, age of the elder child = (x+2) years.

So, x+(x+2) =8 <=> x=3

Age of younger child = 3 years.

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