Q1. The frequency distribution data is given below. If the average age is 17 years, the value of m is
Age (in years): 8 20 26 29.
(a) 1
(b) 2
(c) 3
(d) 4
(e) None of these
Q2. Average rainfall on Monday, Tuesday, Wednesday and Thursday is 420.5 cm and average on Tuesday, Wednesday, Thursday and Friday is 440.5 cm. If the ratio of rainfall for Monday and Friday is 20 : 21, find the rainfall in cm on Monday and Friday.
(a) 1800, 1890
(b) 1600, 1680
(c) 1700, 1470
(d) 1682, 1762
(e) None of these
Q3. A batsman, in his 12th innings, makes a score of 63 runs and thereby increases his average score by 2. The average of his score after 12 th innings is:
(a) 41
(b) 42
(c) 34
(d) 35
(e) None of these
Q4. A professional institute’s total expenditure on students for a particular course is partly fixed and partly varies linearly with the number of students. The average expense per student is Rs. 615 when there are 24 students and Rs. 465 when there are 40 students. What is the average expense when there are 60 students?
(a) Rs. 370
(b) Rs. 450
(c) Rs. 350
(d) Rs. 420
(e) Rs. 390
Q5. The average age of 80 boys in a class is 15. The average age of a group of 15 boys in the class is 16 and the average age of another 25 boys in the class is 14. What is the average age of the remaining boys in the class?
(a) 15.25
(b) 14
(c) 14.75
(d) Cannot be determined
(e) None of these
Q6. The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is:
(a) 20
(b) 21
(c) 23
(d) 22
(e) None of these
Q7. The average of 7 consecutive numbers is 20. The largest of these numbers is:
(a) 24
(b) 23
(c) 22
(d) 20
(e) None of these
Q8. The average weight of three men A, B and C is 84 Kg. D joins them and the average weight of the four becomes 80 Kg. If E, whose weight is 3 Kg more than that of D, replaces A, the average weight of B, C, D and E becomes 79 Kg. The weight of A is:
(a) 65 Kg
(b) 70 Kg
(c) 75 Kg
(d) 80 Kg
(e) None of these
Q9. Average age of seven persons in a group is 30 years. The average age of five persons of this group is 31 years. What is the average age of the other two persons in the group?
(a) 55 years
(b) 26.5 years
(c) 15 years
(d) 27.5 years
(e) None of these
Q10. 12% of Kaushal’s monthly salary is equal to 16% of Nandini’s monthly salary. Suresh’s monthly salary is half that of Nandini’s monthly salalry. If Suresh’s annual salary is Rs. 1.08 lacs. What is Kaushal’s monthly salary?
(a) Rs. 20000
(b) Rs. 18000
(c) Rs. 26000
(d) Rs. 24000
(e) None of these
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MAHENDRA GURU