Average MCQs for Competitive Examination
Solve the following problems.
Q. 61
The average monthly salary of all the employees in an industry is Rs 12, 000. The average salary of male employees is Rs 15, 000 and that of female employees is Rs 8, 000. What is the ratio of male employees to female employees?
(A) 5 : 2
(B) 3 : 4
(C) 4 : 3
(D) 2 : 5
Answer: (C) 4 : 3
Explanation: N/A
Q. 62
A librarian purchased 60 storybooks for his library. But he found that he could get 4 extra books by spending Rs 336 more and then the overall average price per book would be reduced by Re 1. The previous average price of each book was:
(A) Rs 84
(B) Rs 83
(C) Rs 68
(D) Rs 100
Answer: (D) Rs 100
Explanation: N/A
Q. 63
In a class, the average height of all students is ‘a’ cm. Among them, the average height of 10 students is ‘b’ cm and the average height of the remaining students is ‘c’ cm. Find the number of students in the class. (a > c; b > c)
(A) a(a – b)/(a – c)
(B) (b – c)/(a – c)
(C) (b – c)/(10(a – c))
(D) 10(b – c)/(a – c)
Answer: (D) 10(b – c)/ (a – c)
Explanation: N/A
Q. 64
The average temperature for Monday, Tuesday, Wednesday and Thursday was 48°. The average temperature for Tuesday, Wednesday, Thursday and Friday was 52°. If the temperature on Monday was 42°, then the temperature on Friday was:
(A) 58°
(B) 56°
(C) 52°
(D) 50°
Answer: (A) 58°
Explanation: N/A
Q. 65
The average of marks obtained by 100 candidates in a certain examination is 30. If the average marks of passed candidates is 35 and that of the failed candidates is 10, what is the number of candidates who passed the examination?
(A) 60
(B) 70
(C) 80
(D) 90
Answer: (C) 80
Explanation: N/A
Q. 66
A cricketer, whose bowling average was 12.4 runs/wicket takes 5 wickets for 22 runs in a match, thereby decreases his average by 0.4. The number of wickets, taken by him before this match was
(A) 78
(B) 87
(C) 95
(D) 105
Answer: (C) 95
Explanation: No. of wickets taken before the match = x (suppose)
Then 12.4x + 22 = (x + 5) * 12
hence x = 95
Q. 67
The batting average for 40 innings of a cricket player is 50 runs. His highest score exceeds his lowest score by 172 runs. If these two innings are excluded, the average of the remaining 38 innings is 48 runs. The highest score of the player is
(A) 165
(B) 170
(C) 172
(D) 174
Answer: (D) 174
Explanation: Highest score = Lowest score + 172
40 * 50 = 38 * 48 + (Higest score + Lowest score)
Highest score + Lowest score = 176
solving, we have highest score = 174 and lowest score = 2
Q. 68
Three years ago, the average age of a family of 5 members was 17 years. A baby having been born, the average age of the family is the same today. The present age of the baby is
(A) 2 years
(B) 2.4 years
(C) 3 years
(D) 1.5 years
Answer: (A) 2 years
Explanation: Present age of the baby = 17 * 6 – (85 + 15) = 2 years
Q. 69
The average age of the boys in a class is 18 years. The average age of the girls in that class is 12 years. If the ratio of the number of boys and girls in that class 3 : 2. Then the average age of the class is
(A) 15.6 years
(B) 16.5 years
(C) 15 years
(D) 16 years
Answer: (A) 15.6 years
Explanation: N/A
Q. 70
A man spends in 8 months as he earns in 6 months. He saves Rs 6000 in a year. His average monthly income is
(A) Rs 2400
(B) Rs 2000
(C) Rs 2150
(D) Rs 1800
Answer: (B) Rs 2000
Explanation: Monthly income = x (suppose)
Income in a year = 12x
Expense in a year = (6x * 12)/8 = 9x
12x – 9x = 6000
x = 2000
Q. 71
A and B have their annual average income Rs 80,000. B and C have their annual average income Rs 75,000. C and A have their annual average income Rs 78,000. The annual income of A is
(A) Rs 81, 000
(B) Rs 82, 000
(C) Rs 83, 000
(D) Rs 84, 000
Answer: (C) Rs 83, 000
Explanation: N/A
Q. 72
The average (arithmetic mean) amount of savings of ten students is Rs 600. Three of the students have no savings at all and each of the others have at least Rs 250 including Nihar, who has exactly Rs 1300. The largest amount, that anyone student could’ve saved is
(A) Rs 3250
(B) Rs 3450
(C) Rs 3650
(D) Rs 3850
Answer: (B) Rs 3450
Explanation: Total savings = 600 * 10 = 6000
3 students have no savings, hence no of students having savings = 7
Nihar’s savings = 1300; If every other 6 has at least Rs 250, total = 6 * 250 = 1500
Remaining =(6000 – 1300 – 1500) = 3200
Therefore the largest amount that any student could’ve saved is = 3200 + 250 = 3450
Q. 73
The average temperature of Monday, Tuesday, Wednesday and Thursday is 60°. The average temperature for Tuesday, Wednesday, Thursday and Friday is 63°. If the ratio of temperature for Monday and Friday is 21 : 25, then what is the temperature of Friday?
(A) 70°
(B) 73°
(C) 75°
(D) 78°
Answer: (C) 75°
Explanation: N/A
Q. 74
The average weight of 3 men A, B and C is 84 kg. Another man D joins the group and the average now becomes 80 kg. If another man E whose weight is 3 kg more then that of D replaces A, then the average weight of B, C, D and E becomes 79 kg then weight of A is
(A) 72 kg
(B) 74 kg
(C) 75 kg
(D) 76 kg
Answer: (C) 75 kg
Explanation: N/A
Q. 75
Three Science classes A, B and C take a Life Science test. The average score of class A is 83. The average score of class B is 76. The average score of class A and B is 79 and the average score of class B and C is 81. Then the average score of classes A, B and C is
(A) 81.5
(B) 81
(C) 80.5
(D) 80
Answer: (A) 81.5
Explanation: N/A
Q. 76
The average weight of the first 11 persons among 12 persons is 95 kg. The weight of the 12th person is 33 kg more than the average weight of all the 12 persons. The weight of the 12th person is
(A) 128.75 kg
(B) 128 kg
(C) 131 kg
(D) 97.45 kg
Answer: (C) 131 kg
Explanation: N/A
Q. 77
The average of the largest and smallest 3 digit numbers formed by 0, 2 and 4 would be
(A) 312
(B) 213
(C) 222
(D) 303
Answer: (C) 222
Explanation: N/A
Q. 78
If the average of eight consecutive even numbers be 93, then the greatest number among them is
(A)100
(B) 86
(C) 102
(D) 98
Answer: (B) 86
Explanation: N/A
Q. 79
A man spends Rs 1800 monthly on an average for the first four months and Rs 2000 monthly for the next eight months and saves Rs 5600 a year. His average monthly income is
(A) Rs 2000
(B) Rs 2200
(C) Rs 2400
(D) Rs 2600
Answer: (C) Rs 2400
Explanation: N/A
Q. 80
A student finds the average of ten 2-digit numbers. If the digits of one of the numbers is interchanged, the average increases by 3.6. The difference between the digits of the 2-digit numbers is
(A) 4
(B) 3
(C) 2
(D) 5
Answer: (A) 4
Explanation: Let the Number that is interchanged is 10x + y, after the interchange the number = 10y + x
Hence 10x + y – 10y – x = 3.6 * 10
Solving we have (x – y) =4