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- Question
The average weight of 45 passengers in a bus is 52 kg. 5 of them whose average weight is 48 kg leave the bus and other 5 passengers whose average weight is 54 kg join the bus at the same stop. What is the new average weight of the bus?
Options- A. 54.21 kgs
- B. 51.07 kgs
- C. 52.66 kgs
- D. 53.45 kgs
- Correct Answer
- 52.66 kgs
ExplanationGiven total number of passengers in the bus = 45
First average weight of 45 passengers = 52 kgs
Average weight of 5 passengers who leave bus = 48
Average weight of 5 passengers who joined the bus = 54
Therefore, the net average weight of the bus is given by
- 1. A car owner buys petrol at Rs 7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs. 4000 each year ?
Options- A. 6.23
- B. 7.98
- C. 8.97
- D. 9.89 Discuss
- 2. A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is :
Options- A. 285
- B. 290
- C. 297
- D. 305 Discuss
- 3. A student was asked to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and x. He found the mean to be 12. What should be the number in place of x ?
Options- A. 6
- B. 7
- C. 8
- D. 9 Discuss
- 4. The average temperature for Monday, Tuesday, Wednesday and Thursday was 48 degrees and for Tuesday, Wednesday, Thursday and Friday was 46 degrees. If the temperature on Monday was 42 degrees. Find the temperature on Friday ?
Options- A. 34
- B. 36
- C. 38
- D. 40 Discuss
- 5. The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years, The ratio of the number of boys to the number of girls in the class is :
Options- A. 1 : 2
- B. 2 : 3
- C. 3 : 4
- D. 4 : 5 Discuss
- 6. 19 friends went to a restaurant for a combined weekend dinner party. 13 of them spent Rs. 79 each on their dinner and the rest spent Rs. 4 more than the average expenditure of all the 19. What was the total money spent by them?
Options- A. Rs. 1398.96
- B. Rs. 1457.09
- C. Rs. 1662.35
- D. Rs. 1536.07 Discuss
- 7. If the average height of boys in a hall is 180 cm and that of girls is 150 cm. If the average height of the gathering is 165 cm, then find the number of girls present in the hall if the number of boys present in the hall are 78 ?
Options- A. 56
- B. 64
- C. 87
- D. 78 Discuss
- 8. If the mean of a, b, c is M and ab + bc + ca = 0, then the mean of a2+b2+c23 is :
Options- A. M
- B. 3 M^2
- C. 2 (M/3)
- D. M^2 Discuss
- 9. 12 boys decided to constribute Rs. 750 each to an Orphange. Suddenly few of them boys dropped out and consequently the rest had to pay Rs. 150 more. Then the number of boys who dropped out?
Options- A. 4
- B. 6
- C. 2
- D. 3 Discuss
- 10. The average of six numbers is 3.95. The average of two of them is 3.4, while the average of the other two is 3.85. What is the average of the remaining two numbers ?
Options- A. 3.6
- B. 4.6
- C. 6.5
- D. 7.3 Discuss
Average problems
Search Results
Correct Answer: 7.98
Correct Answer: 285
Explanation:
Since the month begins with a Sunday, so there will be five Sundays in the month,
Required average = (510 * 5 + 240 * 25) / 30 = 8550/30 = 285.
Correct Answer: 7
Explanation:
Clearly, we have (3 + 11 + 7 + 9 + 15 + 13 + 8 + 19 + 17 + 21 + 14 + x) / 12 = 12.
or 137 + x = 144 or x = 144 - 137 = 7.
Correct Answer: 34
Explanation:
M + Tu + W + Th = 4 x 48 = 192
Tu + W + Th + F = 4 x 46 = 184
M = 42
Tu + W + Th = 192 - 42 = 150
F = 184 ? 150 = 34
Correct Answer: 2 : 3
Explanation:
Let the ratio be k : 1. Then,
k * 16.4 + 1 * 15.4 = (k + 1) * 15.8
<=> (16.4 - 15.8) k = (15.8 - 15.4) <=> k = 0.4/0.6 = 2/3.
Required ratio = 2/3 : 1 = 2 : 3.
Correct Answer: Rs. 1536.07
Explanation:
Let average expenditure was Rs. R
13 x 79 + 6x(R + 4) = 19R
=> R = Rs. 80.84
Total money = 19 x 80.84 = Rs. 1536.07.
Correct Answer: 78
Explanation:
Using Trial and error method,
we get the number of girls in the hall = 78
Correct Answer: 3 M^2
Explanation:
We have : ( a + b + c) / 3 = M or (a + b + c) = 3M.
Now. .
Required mean = .
Correct Answer: 2
Explanation:
Total money decided to contribute = 750 x 12 = 9000
Let 'b' boys dropped
The rest paid 150/- more
=> (12 - b) x 900 = 9000
=> b = 2
Hence, the number of boys who dropped out is 2.
Correct Answer: 4.6
Explanation:
Sum of the remaining two numbers = (3.95 * 6) - [(3.4 * 2) + (3.85 * 2)]
= 23.70 - (6.8 + 7.7) = 23.70 - 14.5 = 9.20.
Required average = (9.2 / 2) = 4.6.
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