Basic Maths Mcqs

In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the rate in the remaining 40 overs to reach the target of 282 runs?

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In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the rate in the remaining 40 overs to reach the target of 282 runs?

A. 6.25
B. 6.5
C. 6.75
D. 7
Explanation:
Required run rate
= [282 – (3.2 * 10)]/40 = 250/40 = 6.25

The average of runs of a cricket player of 10 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 4?

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The average of runs of a cricket player of 10 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 4?

A. 2
B. 4
C. 70
D. 76
Explanation:
Average after 11 innings = 36
Required number of runs
= (36 * 11) – (32 * 10) = 396 – 320 = 76

The average of 35 students in a class is 16 years. The average age of 21 students is 14. What is the average age of remaining 14 students?

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The average of 35 students in a class is 16 years. The average age of 21 students is 14. What is the average age of remaining 14 students?

A. 15 years
B. 17 years
C. 18 years
D. 19 years
Explanation:
Sum of the ages of 14 students
= (16 * 35) – (14 * 21) = 560 – 294 = 266
Required average = (266/14) = 19 years

A library has an average of 510 visitors on Sunday and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is___________?

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A library has an average of 510 visitors on Sunday and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is___________?

A. 250
B. 276
C. 280
D. 285
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

A family consists of grandparents, 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?

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A family consists of grandparents, 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?

A. 28 4/7 years
B. 31 5/7 years
C. 32 1/7 years
D. None of these
Explanation:
Required Average = [(67 * 2) + (35 * 2 ) + (6 * 3)]/(2 + 2 + 3)
= (134 + 70 + 18)/7 = 31 5/7 years.

The average of five consecutive odd numbers is 61. What is the difference between the highest and lowest numbers?

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The average of five consecutive odd numbers is 61. What is the difference between the highest and lowest numbers?

A. 2
B. 5
C. 8
D. Cannot be determined
Let the numbers x, x + 2, x + 4, x + 6 and x + 8
Then, [x + (x + 2) + (x + 4) + (x + 6) + (x + 8)]5 = 61
or 5x + 20 = 305 => x = 57
So, required difference = (57 + 8) – 57 = 8

The average of the two-digit numbers, which remain the same when the digits interchange their positions, is__________?

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The average of the two-digit numbers, which remain the same when the digits interchange their positions, is__________?

A. 33
B. 44
C. 55
D. 66
Explanation:
Average = (11 + 22 + 33 + 44 + 55 + 66 + 77 + 88 + 99)/9
= [(11 + 99) + (22 + 88) + (33 + 77) + (44 + 66) + 55]/9
= [(4 * 110) + 55]/9 = 495/9 = 55