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SSC CGL Exam Quantitative Aptitude Study Material

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Averages

The average of some naturals number is 15. If 30 is added to first number and 5 is subtracted from the last number the average becomes 17.5 then the number of natural umber is

a) 10
b) 20
c) 30
d) 15

✔Answer

✔Solution

Correct Answer Is : 10

Solution Is :

A boy found that the average of 20 numbers is 35 when he writes a number `61` instead of `16`. The correct average of 20 number is

a) 34.75
b) 37.25
c) 32.75
d) 34.25

✔Answer

✔Solution

Correct Answer Is : 32.75

Solution Is : Correct average = ( 61 - 16/20) = 35 - 45/20 = 35 - 2.25 =32.75

The average run of a player is 32 out of 10 innings. How many runs must he make in the next innings so as to increase his average by 6?

a) 38
b) 98
c) 6
d) 40

✔Answer

✔Solution

Correct Answer Is : 98

Solution Is : Runs scored in the next innings = x(let) According to the question 1032+x=1138 =320+x=418 x=418-320 =98

The average weight of 3 men A,b and C IS 84KG.Another man D joints the group and the average now becomes 8okg. If another man E Whose weight is 3kg more then that of D, replace A, then the average weight of B,C,D E becomes 79kg. Then weight of A is

a) 74kg
b) 72kg
c) 76kg
d) 75kg

✔Answer

✔Solution

Correct Answer Is : 75kg

Solution Is :

The average marks obtained by 15 students including X are 70 and the average marks obtained by 14 students excluding X is 68. What is the marks obtained by X ?

a) 98
b) 78
c) 88
d) None of these

✔Answer

✔Solution

Correct Answer Is : 98

Solution Is : Marks obtained by X. = 150 * 70 - 14 * 68 = 1050-952 =98

Mahendra Singh Dhoni has a certain average of runs for his 8 matches in IPL matches. In the ninth match he scores 100 runs and thereby increases his average by 9 runs His new average of runs is :

a) 20
b) 24
c) 28
d) 32

✔Answer

✔Solution

Correct Answer Is : 28

Solution Is : Let new average be x runs ∴ (x-9) * 8+100 = 9x =>8x-72+100=9x =>9x-8x=28 =>x=28

The average score of three boys in mathematics is 30. When the score of a fourth boy is added to the total score of the three boys, the average is lowered to 25, What is the score of the fourth boy ?

a) 10
b) 15
c) 20
d) 25

✔Answer

✔Solution

Correct Answer Is : 10

Solution Is : Marks obtained by fourth student = 4 * 25 - 3 * 30 = 100-90 = 10

The Average score of a cricketer for 10 matches is 38.9 runs. If the average for the first six matches is 42, find the average of the last four matches:

a) 33.25
b) 33.5
c) 34.25
d) 35

✔Answer

✔Solution

Correct Answer Is : 34.25

Solution Is : Total runs of last four matches = 10 * 38.9-6 * 42 = 389 - 252 = 137 ∴ Required average = 137 /4 =34.25

Average age of 30 boys in a class is 10 years. If however, the age of their teacher is also included, then the average increased, then the average increases by one year. What is the age of the teacher?

a) 38 years
b) 40years
c) 30years
d) 41years

✔Answer

✔Solution

Correct Answer Is : 41years

Solution Is : Teacher`s age = 31 * 11 - 30 * 10 =341-300 =41 years

The average age of a group of 40 students in a bus is 7 years. When the conductor`s age is included the average age is increased by one year, The age of the conductor is :

a) 40 years
b) 45years
c) 48years
d) None of these

✔Answer

✔Solution

SSC CGL Exam Quantitative Aptitude Study Material

Averages

The average of some naturals number is 15. If 30 is added to first number and 5 is subtracted from the last number the average becomes 17.5 then the number of natural umber is

Correct Answer Is : 10

Solution Is :

A boy found that the average of 20 numbers is 35 when he writes a number `61` instead of `16`. The correct average of 20 number is

Correct Answer Is : 32.75

Solution Is : Correct average = ( 61 - 16/20) = 35 - 45/20 = 35 - 2.25 =32.75

The average run of a player is 32 out of 10 innings. How many runs must he make in the next innings so as to increase his average by 6?

Correct Answer Is : 98

Solution Is : Runs scored in the next innings = x(let) According to the question 10*32+x=11*38 =320+x=418 x=418-320 =98

The average weight of 3 men A,b and C IS 84KG.Another man D joints the group and the average now becomes 8okg. If another man E Whose weight is 3kg more then that of D, replace A, then the average weight of B,C,D E becomes 79kg. Then weight of A is

Correct Answer Is : 75kg

Solution Is :

The average marks obtained by 15 students including X are 70 and the average marks obtained by 14 students excluding X is 68. What is the marks obtained by X ?

Correct Answer Is : 98

Solution Is : Marks obtained by X. = 150 * 70 - 14 * 68 = 1050-952 =98

Mahendra Singh Dhoni has a certain average of runs for his 8 matches in IPL matches. In the ninth match he scores 100 runs and thereby increases his average by 9 runs His new average of runs is :

Correct Answer Is : 28

Solution Is : Let new average be x runs ∴ (x-9) * 8+100 = 9x =>8x-72+100=9x =>9x-8x=28 =>x=28

The average score of three boys in mathematics is 30. When the score of a fourth boy is added to the total score of the three boys, the average is lowered to 25, What is the score of the fourth boy ?

Correct Answer Is : 10

Solution Is : Marks obtained by fourth student = 4 * 25 - 3 * 30 = 100-90 = 10

The Average score of a cricketer for 10 matches is 38.9 runs. If the average for the first six matches is 42, find the average of the last four matches:

Correct Answer Is : 34.25

Solution Is : Total runs of last four matches = 10 * 38.9-6 * 42 = 389 - 252 = 137 ∴ Required average = 137 /4 =34.25

Average age of 30 boys in a class is 10 years. If however, the age of their teacher is also included, then the average increased, then the average increases by one year. What is the age of the teacher?

Correct Answer Is : 41years

Solution Is : Teacher`s age = 31 * 11 - 30 * 10 =341-300 =41 years

The average age of a group of 40 students in a bus is 7 years. When the conductor`s age is included the average age is increased by one year, The age of the conductor is :

Correct Answer Is : 48years

Solution Is : Conductor`s age = 41 * 8 - 40 * 7 =328 - 280 =48 years

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Solution Is : Runs scored in the next innings = x(let) According to the question 1032+x=1138 =320+x=418 x=418-320 =98