20 questions in the pattern of MAH MBA CET, NMAT and SNAP. Each question is marked with the exams it suits. Answer it, then open the step-by-step solution.
A shop's sales for five months were Rs. 7100, Rs. 8700, Rs. 5500, Rs. 6500, Rs. 5300. What must its sale be in the sixth month for an average of Rs. 7600 over six months?
Required total = 6 × 7600 = 45600. Five-month total = 33100.
Sixth month = 45600 − 33100 = 12500.
The average age of 21 students is 13 years. If the teacher's age is included, the average increases by 2 years. What is the teacher's age?
New total = 22 × 15 = 330; old total = 273.
Teacher = 330 − 273 = 57.
A person travels from A to B at 30 km/h and returns at 45 km/h. What is the average speed for the whole journey?
Average speed for equal distances = 2ab/(a + b) = 2 × 30 × 45/75 = 36 km/h.
4 years ago the average age of a family of 6 members was 25 years. A baby has since been born, and the average age of the family is the same today. How old is the baby?
Today the 6 members total 150 + 6 × 4 = 174.
With the baby: 7 × 25 = 175. Baby = 1 year.
The average of 11 results is 67. The average of the first six is 62 and that of the last six is 69. What is the sixth result?
First six total = 372; last six total = 414; together they count the 6th result twice.
6th = 372 + 414 − 737 = 49.
The average of 9 consecutive even numbers is 48. What is the largest of them?
For consecutive numbers the average is the middle value, 48.
The numbers are 40, 42, 44, 46, 48, 50, 52, 54, 56.
The average marks of a class of 51 students is 58. The average of 34 of them is 70. What is the average of the remaining students?
Total = 51 × 58 = 2958; the 34 students total 2380.
Remaining average = (2958 − 2380)/17 = 34.
The average marks of a class of 33 students is 56. The average of 22 of them is 67. What is the average of the remaining students?
Total = 33 × 56 = 1848; the 22 students total 1474.
Remaining average = (1848 − 1474)/11 = 34.
The average weight of 12 people increases by 3 kg when a person weighing 49 kg is replaced by a new person. What is the weight of the new person?
Total change = 12 × 3 = 36 kg.
New person = 49 + 36 = 85 kg.
The average of 8 consecutive even numbers is 53. What is the smallest of them?
For consecutive numbers the average is the middle value, 53.
The numbers are 46, 48, 50, 52, 54, 56, 58, 60.
The average age of 37 students is 17 years. If the teacher's age is included, the average increases by 1/2 years. What is the teacher's age?
New total = 38 × 17.5 = 665; old total = 629.
Teacher = 665 − 629 = 36.
A shop's sales for five months were Rs. 5400, Rs. 6600, Rs. 4500, Rs. 6000, Rs. 8900. What must its sale be in the sixth month for an average of Rs. 7200 over six months?
Required total = 6 × 7200 = 43200. Five-month total = 31400.
Sixth month = 43200 − 31400 = 11800.
The average marks of 45 students in section A is 59 and of 18 students in section B is 66. What is the average of all the students?
Total = 45 × 59 + 18 × 66 = 3843.
Average = 3843/63 = 61.
The average of A and B is 32.5, of B and C is 49.5, and of A and C is 35. What is the average of A, B and C?
A + B = 65, B + C = 99, A + C = 70. Adding: 2(A + B + C) = 234.
A + B + C = 117; average = 39.
The average weight of 10 people decreases by 1/2 kg when a person weighing 75 kg is replaced by a new person. What is the weight of the new person?
Total change = 10 × 1/2 = 5 kg.
New person = 75 − 5 = 70 kg.
A batsman scored 116 runs in his 20th innings and thereby increased his average by 4. What is his average after the 20th innings?
Let the old average be A. 19A + 116 = 20(A + 4).
So A = 116 − 20 × 4 = 36; new average = 40.
The average marks of 25 students in section A is 69 and of 25 students in section B is 65. What is the average of all the students?
Total = 25 × 69 + 25 × 65 = 3350.
Average = 3350/50 = 67.
A batsman scored 159 runs in his 15th innings and thereby increased his average by 8. What is his average after the 15th innings?
Let the old average be A. 14A + 159 = 15(A + 8).
So A = 159 − 15 × 8 = 39; new average = 47.
A person travels from A to B at 30 km/h and returns at 90 km/h. What is the average speed for the whole journey?
Average speed for equal distances = 2ab/(a + b) = 2 × 30 × 90/120 = 45 km/h.
The average of A and B is 29.5, of B and C is 41, and of A and C is 33.5. What is the average of A, B and C?
A + B = 59, B + C = 82, A + C = 67. Adding: 2(A + B + C) = 208.
A + B + C = 104; average = 34 2/3.
These are original practice questions written by Target Campus in the pattern and difficulty of MAH MBA CET, NMAT, SNAP and other MBA entrance tests. They are not previous-year papers.
Preparing for MAH CET, SNAP or NMAT? Courses, live classes and mocks by Dr. Kiran Derle at Target Campus.
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