169+ Problems on Average With Explanation

Q:

The average age of the district level hockey team of eleven is 22 years.The average age gets increased by 1 year when the coach age is also included.what is the age of the coach ?

A) 33 yrs	B) 34 yrs
C) 35 yrs	D) 36 yrs

Answer & Explanation Answer: B) 34 yrs

Explanation:

Total age of players in team = 22 x 11 = 242
When coach is included, total members = 12, Avg age increases by one becomes 23
Total age when coach is included = 23x12 = 276
Age of coach = 276-242 = 34 yrs.

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Q:

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 ?

A) 56	B) 64
C) 87	D) 78

Answer & Explanation Answer: D) 78

Explanation:

Using Trial and error method,

we get the number of girls in the hall = 78

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Q:

Navaneet has thrice the money Poonam has and Poonam has 25% more money than Hebah. If the average money of the three is Rs. 350, What is the amount that Navaneet has ?

A) Rs. 175	B) Rs. 220.75
C) Rs. 218.55	D) Rs. 656.25

Answer & Explanation Answer: D) Rs. 656.25

Explanation:

Assume Hebah has Rs. M

Since 25% more money at Poonam

=> Money at Poonam = M + (25% of M)

=> Money at Poonam = M + 0.25M = Rs. 1.25M

Money with Navaneet is thrice the money with Poonam,

=> Money at Navaneet = 3(1.25M) = Rs. 3.75M

Now, sum of all Money = (M + 1.25M + 3.75M) = Rs. 6M

But given the average of the money is Rs. 350

=> 6M/3 = 350

=> 2M = 350

=> M = 350/2 = Rs. 175

=> Amount of money Navaneet has = Rs. 3.75M = 3.75 x 175 = Rs. 656.25.

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Q:

The average score of boys in an examination in a school is 81 and that of the girls is 83 and the average score of the school is 81.8. Then what will be ratio between the number of girls to the number of boys, in the examination?

A) 3:2	B) 2:3
C) 4:3	D) 3:4

Answer & Explanation Answer: B) 2:3

Explanation:

Let the number of boys = b

Let the number of girls = g

From the given data,

81b + 83g = 81.8(b + g)

81.8b - 81b = 83g - 81.8g

0.8b = 1.2g

b/g = 1.2/0.8 = 12/8 = 3/2

=> g : b = 2 : 3

Hence, ratio between the number of girls to the number of boys = 2 : 3.

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Q:

In a particular week the average number of people who visited the Park is 40. If we exclude the holidays then the average is increased by 16. Further if we exclude also the day on which the maximum number of 112 people visited the Park, then the average becomes 42. The number of holidays in the week is

A) 1	B) 2
C) 3	D) 4

Answer & Explanation Answer: B) 2

Explanation:

Total number of people = 40 * 7 = 280

(7 -n)*(40+16) = 280

(7 -n)*56 = 280

7-n = 5

Number of holidays = 2

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Q:

The average marks of 50 students in an examination was 65. It was later found that the marks of one student had been wrongly entered as 83 instead of 38. The correct average is?

A) 63.9	B) 64.5
C) 64.7	D) 64.1

Answer & Explanation Answer: D) 64.1

Explanation:

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Q:

Find the average of first 50 natural numbers?

A) 25	B) 25.5
C) 26	D) 26.5

Answer & Explanation Answer: B) 25.5

Explanation:

We Know that sum of the n natural numbers = $\frac{n (n + 1)}{2}$

Then sum of 50 natural numbers= $\frac{50 (51)}{2}$ = 1250

Average of the 50 natural numbers = $\frac{1250}{50}$ = 25.5

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Q:

The average of 50 consecutive natural numbers is x. What will be the are average when the next four natural numbers are also included?

A) x + 1	B) x + 2
C) x + 4	D) x + (x/54)

Answer & Explanation Answer: B) x + 2

Explanation:

Sum of n consecutive natural numbers = n(n+1)/2

Average of n consecutive natural numbers = (n+1)/2

For first 50 average = 51/2 = x

Last 50 average = 55/2 = x+2

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