Question 1

A batsman scores 26 runs and increases his average from 14 to 15. Find the runs to be made if he wants top increasing the average to 19 in the same match ?

Accepted Answer

Number of runs scored more to increse the ratio by 1 is 26 - 14 = 12 To raise the average by one (from 14 to 15), he scored 12 more than the existing average. Therefore, to raise the average by five (from 14 to 19), he should score 12 x 5 = 60 more than the existing average. Thus he should score 14 + 60 = 74.

Question 2

When all the students in a school are made to stand in rows of 54, 30 such rows are formed. If the students are made to stand in rows of 45, how many such rows will be formed ?

Accepted Answer

Total number of students = 54 x 30 When arranged in rows of 45, number of rows formed are, 54 x 30 45 = 36.

Question 3

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 ?

Accepted Answer

Required average = (67 * 2 + 35 * 2 + 6 * 3) / (2 + 2 + 3) = (134 + 70 + 18) / 7 = 222 / 7 = 31(5/7) years.

Question 4

Of the following, which is greater than ½ ? Indicate ALL such fractions.

Accepted Answer

One way to deal with fractions is to convert them all to decimals. In this case all you would need to do is to see which is greater than 0.5. Otherwise to see which is greater than ½, double the numerator and see if the result is greater than the denominator. In B doubling the numerator gives us 8, which is bigger than 7.

Question 5

The average of a non-zero number and its square is 11 times the number. The number is ?

Accepted Answer

Let the number be 'x'. x + x 2 2 = 11x x 2 = 22x => x = 22.

Question 6

Amithab's average expenditure for the January to June is Rs. 4200 and he spends Rs.1200 in January and Rs.1500 in july.The average expenditure for the months of febraury to July is:

Accepted Answer

Amithab's total expenditure for Jan - June = 4200 x 6 = 25200 Expenditure for Feb - June = 25200-1200 = 24000 Expenditure for the months of Feb - July = 24000 + 1500 =25500 The average expenditure = 25500/6 = 4250

Question 7

In a cinema hall for the matinee show which started at 2.30 pm and ended at 5.30 pm the vehicle parking lot had only three wheelers (auto rickshaws) and four wheelers. Today the wheels of the vehicles parked was counted and found to be 240. What cou…

Accepted Answer

3X + 4y = 240 by substitute through options 48 is correct

Question 8

Sripad has scored average of 65 marks in three objects. In no subjects has he secured less than 58 marks. He has secured more marks in Maths than other two subjects. What could be his maximum score in Maths ?

Accepted Answer

Assuming Sripad has scored the least marks in subject other than science, Then the marks he could secure in other two are 58 each. Since the average mark of all the 3 subject is 65. i.e (58+58+x)/3 = 65 116 + x = 195 x = 79 marks. Therefore, the maximum marks he can score in maths is 79.

Question 9

The average age of the district level hockey team of eleven is 22 years.The average age gets increased by 1 year when the coach age is also included.what is the age of the coach ?

Accepted Answer

Total age of players in team = 22 x 11 = 242 When coach is included, total members = 12, Avg age increases by one becomes 23 Total age when coach is included = 23x12 = 276 Age of coach = 276-242 = 34 yrs.

Question 10

A cicketer bas a certain average for 10 innings, In the eleventh inning, he scorod 108 runs, thereby increasing his average by 6 runs. His new average is :

Accepted Answer

Let average for 10 innings be x. Then, (10x + 108)/11 = x + 6 => 11x + 66 = 10x + 108 => x = 42. New average = (x + 6) = 48 runs.

Question 11

The average weight of a group of boys is 30 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?

Accepted Answer

Let the number of boys in the group originally be x. Total weight of the boys = 30x After the boy weighing 35 kg joins the group, total weight of boys = 30x + 35 So 30x + 35 + 31(x + 1) = > x = 4.

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