Average problems
- 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 ?
Options- A. 74
- B. 79
- C. 72
- D. 60 Discuss
Correct Answer: 74
Explanation:
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.
- 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 ?
Options- A. 22
- B. 36
- C. 32
- D. 26 Discuss
Correct Answer: 36
Explanation:
Total number of students = 54 x 30
When arranged in rows of 45, number of rows formed are,
= 36.
- 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 ?
Options- A. 31( 5/7)
- B. 32 (6/7)
- C. 34(4/7)
- D. 35(4/9) Discuss
Correct Answer: 31( 5/7)
Explanation:
Required average = (67 * 2 + 35 * 2 + 6 * 3) / (2 + 2 + 3)
= (134 + 70 + 18) / 7 = 222 / 7 = 31(5/7) years.
- 4. Of the following, which is greater than ½ ? Indicate ALL such fractions.
Options- A. 2/5
- B. 4/7
- C. 4/9
- D. 5/11 Discuss
Correct Answer: 4/7
Explanation:
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.
- 5. The average of a non-zero number and its square is 11 times the number. The number is ?
Options- A. 22
- B. 21
- C. 11
- D. 17 Discuss
Correct Answer: 22
Explanation:
Let the number be 'x'.
= 11x
= 22x
=> x = 22.
- 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:
Options- A. Rs. 4250
- B. Rs. 4520
- C. Rs. 4060
- D. None of these Discuss
Correct Answer: Rs. 4250
Explanation:
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
- 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 could be the number of three wheelers parked therein ?
Options- A. 48
- B. 41
- C. 45
- D. 43 Discuss
Correct Answer: 48
Explanation:
3X + 4y = 240
by substitute through options 48 is correct
- 8. The mean deviation of the data 3, 10, 10, 4, 7, 10, 5 is :
Options- A. 49/7
- B. 19/7
- C. 50/7
- D. 18/7 Discuss
Correct Answer: 18/7
- 9. The average cost of 5 items in a shopping list is Rs 650. If one more item whose cost is Rs 1400 is added to the list what will be the new average (in Rs)?
Options- A. 775
- B. 875
- C. 725
- D. 825 Discuss
Correct Answer: 775
- 10. 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 ?
Options- A. 79
- B. 77
- C. 76
- D. 73 Discuss
Correct Answer: 79
Explanation:
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.
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