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- Question
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
- 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.
- 1. 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
- 2. 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
- 3. 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
- 4. Which of the following is not a leap year?
Options- A. 700
- B. 800
- C. 1200
- D. 2000 Discuss
- 5. On 8th Dec, 2007 Saturday falls. What day of the week was it on 8th Dec, 2006?
Options- A. Sunday
- B. Thursday
- C. Tuesday
- D. Friday Discuss
- 6. 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
- 7. 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 Discuss
- 8. 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
- 9. 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
- 10. 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
Average problems
Search Results
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: 700
Explanation:
The century divisible by 400 is a leap year.
∴ The year 700 is not a leap year.
Correct Answer: Friday
Explanation:
The year 2006 is an ordinary year. So, it has 1 odd day.
So, the day on 8th Dec, 2007 will be 1 day beyond the day on 8th Dec, 2006.
But, 8th Dec, 2007 is Saturday.
∴ 8th Dec, 2006 is Friday.
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: 54.68
Explanation:
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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).
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