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- Question
If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is:
Options- A. 53.33
- B. 54.68
- C. 55
- D. None of these
- Correct Answer
- 54.68
ExplanationRequired average = ❨ 55 x 50 + 60 x 55 + 45 x 60 ❩ 55 + 60 + 45 = ❨ 2750 + 3300 + 2700 ❩ 160 = 8750 160 = 54.68 - 1. In Arun's opinion, his weight is greater than 65 kg but less than 72 kg. His brother doest not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Arun?
Options- A. 67 kg.
- B. 68 kg.
- C. 69 kg.
- D. Data inadequate
- E. None of these Discuss
- 2. The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
Options- A. 23 years
- B. 24 years
- C. 25 years
- D. None of these Discuss
- 3. A family consists of two grandparents, two 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. 284⁄7 years
- B. 315⁄7 years
- C. 321⁄7 years
- D. None of these Discuss
- 4. On what dates of April, 2001 did Wednesday fall?
Options- A. 1st, 8th, 15th, 22nd, 29th
- B. 2nd, 9th, 16th, 23rd, 30th
- C. 3rd, 10th, 17th, 24th
- D. 4th, 11th, 18th, 25th Discuss
- 5. It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010?
Options- A. Sunday
- B. Saturday
- C. Friday
- D. Wednesday Discuss
- 6. The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is:
Options- A. 17 kg
- B. 20 kg
- C. 26 kg
- D. 31 kg Discuss
- 7. The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is:
Options- A. 3500
- B. 4000
- C. 4050
- D. 5000 Discuss
- 8. The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
Options- A. 0
- B. 1
- C. 10
- D. 19 Discuss
- 9. In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
Options- A. 6.25
- B. 6.5
- C. 6.75
- D. 7 Discuss
- 10. A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
Options- A. Rs. 4991
- B. Rs. 5991
- C. Rs. 6001
- D. Rs. 6991 Discuss
Average problems
Search Results
Correct Answer: 67 kg.
Explanation:
Let Arun's weight by X kg.
According to Arun, 65 < X < 72
According to Arun's brother, 60 < X < 70.
According to Arun's mother, X <= 68
The values satisfying all the above conditions are 66, 67 and 68.
| ∴ Required average = | ❨ | 66 + 67 + 68 | ❩ | = | ❨ | 201 | ❩ | = 67 kg. |
| 3 | 3 |
Correct Answer: 23 years
Explanation:
Let the average age of the whole team by x years.
∴ 11x - (26 + 29) = 9(x -1)
⟹ 11x - 9x = 46
⟹ 2x = 46
⟹ x = 23.
So, average age of the team is 23 years.
Correct Answer: 315⁄7 years
Explanation:
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Correct Answer: 4th, 11th, 18th, 25th
Explanation:
We shall find the day on 1 st April, 2001. 1 st April, 2001 = (2000 years + Period from 1.1.2001 to 1.4.2001)
Odd days in 1600 years = 0
Odd days in 400 years = 0
Jan. Feb. March April
(31 + 28 + 31 + 1) = 91 days ≡ 0 odd days.
Total number of odd days = (0 + 0 + 0) = 0
On 1st April, 2001 it was Sunday.
In April, 2001 Wednesday falls on 4th, 11th, 18th and 25th.
Correct Answer: Friday
Explanation:
On 31 st December, 2005 it was Saturday.
Number of odd days from the year 2006 to the year 2009 = (1 + 1 + 2 + 1) = 5 days.
∴ On 31st December 2009, it was Thursday.
Thus, on 1st Jan, 2010 it is Friday.
Correct Answer: 31 kg
Explanation:
Let A, B, C represent their respective weights. Then, we have:
A + B + C = (45 x 3) = 135 .... (i)
A + B = (40 x 2) = 80 .... (ii)
B + C = (43 x 2) = 86 ....(iii)
Adding (ii) and (iii), we get: A + 2B + C = 166 .... (iv)
Subtracting (i) from (iv), we get : B = 31.
∴ B's weight = 31 kg.
Correct Answer: 4000
Explanation:
Let P, Q and R represent their respective monthly incomes. Then, we have:
P + Q = (5050 x 2) = 10100 .... (i)
Q + R = (6250 x 2) = 12500 .... (ii)
P + R = (5200 x 2) = 10400 .... (iii)
Adding (i), (ii) and (iii), we get: 2(P + Q + R) = 33000 or P + Q + R = 16500 .... (iv)
Subtracting (ii) from (iv), we get P = 4000.
∴ P's monthly income = Rs. 4000.
Correct Answer: 19
Explanation:
Average of 20 numbers = 0.
∴ Sum of 20 numbers (0 x 20) = 0.
It is quite possible that 19 of these numbers may be positive and if their sum is a then 20th number is (-a).
Correct Answer: 6.25
Explanation:
| Required run rate = | ❨ | 282 - (3.2 x 10) | ❩ | = | 250 | = 6.25 |
| 40 | 40 |
Correct Answer: Rs. 4991
Explanation:
Total sale for 5 months = Rs. (6435 + 6927 + 6855 + 7230 + 6562) = Rs. 34009.
∴ Required sale = Rs. [ (6500 x 6) - 34009 ]
= Rs. (39000 - 34009)
= Rs. 4991.
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