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LTI Aptitude Quiz-1

Question 1

Time: 00:00:00

In the World cup T20 match of India vs Pakistan which happened on 23rd October, as these two countries had the greatest rivalry of all time . 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 2

Time: 00:00:00

The mean of 30 records is 36. It was later discovered that one of the records was incorrectly taken as 23 in place 48. 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 3

Time: 00:00:00

Dev's current average of runs is 64. He wanted it to be 66 and this could have been achieved if he had scored 22 runs more in all his innings put together. How many innings has he played till now?

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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, Rishabh needs to score 22 runs more to increase average.
2N = 22
N = 11 = Number of innings

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Question 4

Time: 00:00:00

Average of 16 numbers is 8. If 2 is added to every number, the new average will be:

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Answer: Option C
Explanation:
Average of 16 numbers = 8
Thus, total of 16 numbers = 16 * 8 = 128
When 2 is added to every number then total of 16 numbers increases by 16 * 2 = 32
Thus, new total of 16 numbers = 128 + 32 = 160
New average of 16 numbers = 160 / 16 = 10

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Question 5

Time: 00:00:00

In a virtual dimension, the Virat Kohli family consists of two grandparents, two parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family?

256/9

222/7

226/7

297/7

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Answer: Option B
Explanation:
Required average=(67*2+35*2+6*3)/(2+2+3)
=(134+70+18)/7
=222/7

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Question 6

Time: 00:00:00

Before becoming playing for the national cricket team, Mahendra singh Dhoni was a railway ticket collector and didn’t make as much money doing that, so he used to buy groceries on sale. The grocer store he bought from had a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?

4991

5991

6001

6991

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Answer: Option A
Explanation:
Total sale for 5 months = Rs. (6435 + 6927 + 6855 + 7230 + 6562) = Rs. 34009.
Required sale = Rs. [ (6500 x 6) - 34009 ]
= Rs. (39000 - 34009)
= Rs. 4991.

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Question 7

Time: 00:00:00

The average of 21 numbers is zero. Of them, at the most, how many may be greater than zero?

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Answer: Option D
Explanation:
Average of 21 numbers = 0.
Sum of 21 numbers (0 x 21) = 0.
It is quite possible that 20 of these numbers may be positive and if their sum is a then the 21st number is (-a).

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Question 8

Time: 00:00:00

The typical weight When a new player replaces one of the eight members of the Indian Kho Kho squad, who is competing in the World Kho Kho Championship, their combined weight climbs by 2.5 kg. How much might the new person weigh?

76.5

None of the above

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Answer: Option C
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 9

Time: 00:00:00

The average weight of the U16 Cricket team which got selected to play for India consists of 16 boys and their average weight is 50.25 kg and the remaining 14 boys which couldn’t qualify the criteria had average weight of 45.15 kg. Find the average weights of all the boys in the class.

48.55

38.44

32.64

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Answer: Option C
Explanation:
Required average =(50.25 x 16 + 45.15 x 8)/(16+14)
=1165.20/30
=38.84

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Question 10

Time: 00:00:00

The New York Public Library is a public library system in New York City. With nearly 53 million items and 92 locations, the New York Public Library is the second largest public library in the United States and 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:

250

276

280

285

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Answer: Option D
Explanation:
Since the month begins with a Sunday, to there will be five Sundays in the month.
Required average=(510*5+240*25)/30
=8550/30
=285

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