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HirePro Averages Quiz-1

Question 1

Time: 00:00:00

While traveling through Rajdhani Express I found that the distance between two stations Agra City and New Delhi is 778 km. Rajdhani Express covers the journey from Agra City to New Delhi at 80 km per hour and returns back to Agra City with a uniform speed of 56 km per hour. Then what will be the average speed of Rajdhani Express during the whole journey.

67.25 kmph

58 kmph

76.87 kmph

65.90 kmph

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Answer: 65.90
Total distance traveled = 778 x 2 =1556
Total time taken to travel from Agra City to New Delhi = 778/80 = 9.72
Total time taken to travel from New Delhi to Agra City = 778/56 = 13.89
Total time = (9.72+13.89)=23.61
Avg speed = total distance/ total time
Avg speed = 1556/23.61
Avg speed = 65.90

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Question 2

Time: 00:00:00

The average of runs made by KL Rahul in 10 innings was 45. How many runs must he make in his next innings so as to increase his average of runs by 5?

100

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Answer: 100
Explanation:
Average = total runs / no.of innings = 45
So, total = Average x no.of innings = 45 x 10 = 450.
Now increase in avg = 5runs. So, new avg = 45+5 = 50 runs
Total runs = new avg x new no. of innings = 50 x 11 = 550
Runs made in the 11th inning = 550 - 450 = 100

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Question 3

Time: 00:00:00

71 is the average of five successive odd numbers. What is the result of the subtraction of the highest and the lowest number?

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Ans: 8
Sol:
Let us assume the numbers are x, x+2, x+4, x+6, and x+8.
=> [x + (x + 2) + (x + 4) + (x + 6) + (x + 8)] / 5 = 71
=5x + 20 = 355
=>X= 67

Subtracting the two numbers,
= (67 + 8) – 67
= 8

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Question 4

Time: 00:00:00

Average of all prime numbers between 31 to 46

37.8

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Answer: 38
Explanation:
Prime numbers between 31 and 46 are:
31, 37, 41, 43
Average of prime numbers between 31 to 46 will be
((31+37+41+43)/4)=152/4=38

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Question 5

Time: 00:00:00

Walmart is a retail store and is a multinational company.It gives a very tough time to small retail owners who sell their products on their own. A retailer in Chawri bazar sells his articles at Rs. 1100, Rs. 2200, Rs. 990, and Rs. 3300 for 4 consecutive months. He wants to sell his items at an average of Rs. 2497, how many sales he must have in the fifth month?

5925

4895

4995

3985

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Ans: 4895
Sol:
Total sale for 4 months = (1100 + 2200 + 990 + 3300) = 7590
Needed sale = (2497 * 5) – 7590 = 12485 – 7590 = 4895

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Question 6

Time: 00:00:00

In the T20 match of India vs Pakistan which was the finals of the Asia T20 Cup on 15th of September , these two countries had the greatest rivalry of all time and the stadium was packed to the brim. In the first 10 overs of the game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?

6.25

6.5

6.75

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Answer: Option A
Explanation:
Required run rate =(282-(3.2*10))/40
=250/40
=6.25

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Question 7

Time: 00:00:00

At the moment, Virat averages 64 runs each game. He wanted it to be 66, and he could have reached that goal if he had totaled 22 more runs throughout all of his innings. He has played how many innings up to this point?

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Answer: b. 11
Explanation:
Let the number of innings be N.
Since increase in average is by 2 runs (from 64 to 66), runs in each innings would increase by 2 runs
Total increase in runs = 2 x N = 2N
Also, Virat needs to score 22 runs more to increase average.
2N = 22
N = 11 = Number of innings

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Question 8

Time: 00:00:00

Tallying data can be a stressful job when you have to tally from a book to a laptop and can have incorrect entries in it.Such a mistake was made by Ashima, in which the average of 30 records is 36 and was later discovered that one of the records was incorrectly taken as 23 in place 48.Help her find out the correct new mean?

40.36

36.83

30.98

28.78

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Answer: Option B
Explanation:
Correct addition= (36 x 30 + 48 - 23) = 1105.
Correct mean=1105/30=36.83

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Question 9

Time: 00:00:00

There are many places in Delhi where one can buy goods for cheap prices, one such shop is owned by Salu. He is a retail shopkeeper whose shop is in Chawri bazar who sells his items at Rs. 1200, Rs. 2400, Rs. 1270, and Rs. 1300 for 4 consecutive months. After 5 months he wants to sell his items at an average of Rs. 2500,to help him increase his earnings. Suggest him as to how much sale he must have in the fifth month?

6330

2450

11236

6550

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Answer: Option A
Explanation:
Total sale for 4 months = (1200 + 2400 + 1270 + 1300) = 6170
Needed sale = (2500 x 5) – 6170
= Rs. 12500 – 6170
= 6330

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Question 10

Time: 00:00:00

Average of 16 numbers is 9. If 5 is added to every number, the new average will be:

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Answer: 14
Explanation:
Average of 16 numbers = 9
Thus, total of 16 numbers = 16 * 9 = 144
When 2 is added to every number then total of 16 numbers increases by 16 * 5 = 80
Thus, new total of 16 numbers = 144 + 80 = 224
New average of 16 numbers = 224 / 16 = 14

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