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HSBC Averages Questions and Answers Quiz-1

Question 1

Time: 00:00:00

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?

6.25

6.5

6.75

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Explanation:

Explanation:

Required run rate =( 282 - (3.2 x 10))/40 = 250 = 6.25

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Question 2

Time: 00:00:00

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?

28 4/7 years

31 5/7 years

32 1/7 years

None of these

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Explanation:
Required average
= (67 x 2 + 35 x 2 + 6 x 3)/(2+2+3)

= (134 + 70 + 18 )/7

= 222/7

= 31 5/7 years.

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Question 3

Time: 00:00:00

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?

Rs. 4991

Rs. 5991

Rs. 6001

Rs. 6991

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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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Question 4

Time: 00:00:00

he average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?

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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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Question 5

Time: 00:00:00

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:

17 kg

20 kg

26 kg

31 kg

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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.

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Question 6

Time: 00:00:00

The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class.

47.55 kg

48 kg

48.55 kg

49.25 kg

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Explanation:
Required average
= (50.25 x 16 + 45.15 x 8)/(16+8)
= (804 + 361.20)/24

= 1165.20/24

= 48.55

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Question 7

Time: 00:00:00

The average age of P, Q, R and S is 30 years. How old is R?

I.

The sum of ages of P and R is 60 years.

II.

S is 10 years younger than R.

I alone sufficient while II alone not sufficient to answer

II alone sufficient while I alone not sufficient to answer

Either I or II alone sufficient to answer

Both I and II are not sufficient to answer

Both I and II are necessary to answer

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Explanation:

P + Q + R + S = (30 x 4)

P + Q + R + S = 120 .... (i)

I. P + R = 60 .... (ii)

II. S = (R - 10) .... (iii)

From (i), (ii) and (iii), we cannot find R.

Correct answer is (D)

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Question 8

Time: 00:00:00

How many candidates were interviewed everyday by the panel A out of the three panels A, B and C?

I. The three panels on average interview 15 candidates every day.

II. Out of a total of 45 candidates interviewed everyday by the three panels, the number of candidates interviewed by panel A is more by 2 than the candidates interviewed by panel c and is more by 1 than the candidates interviewed by panel B.

I alone sufficient while II alone not sufficient to answer

II alone sufficient while I alone not sufficient to answer

Either I or II alone sufficient to answer

Both I and II are not sufficient to answer

Both I and II are necessary to answer

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Explanation:

I. Total candidates interviewed by 3 panels = (15 x 3) = 45.

II. Let x candidates be interviewed by C.

Number of candidates interviewed by A = (x + 2).

Number of candidates interviewed by B = (x + 1).

x + (x + 2) + (x + 1) = 45

3x = 42

x = 14

Hence, the correct answer is (B).

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Question 9

Time: 00:00:00

What is the average age of children in the class?

I. The age of the teacher is as many years as the number of children.

II. Average age is increased by 1 year if the teacher's age is also included.

I alone sufficient while II alone not sufficient to answer

II alone sufficient while I alone not sufficient to answer

Either I or II alone sufficient to answer

Both I and II are not sufficient to answer

Both I and II are necessary to answer

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Explanation:

Let there be x children.

I gives, age of teacher = x years.

II gives, average age of (x + 1) persons = (x + 1) years.

Teacher's age = (x + 1) (x + 1) - x² = (x² + 1 + 2x) - x² = (1 + 2x)

Thus, teacher's age cannot be obtained.

Correct answer is (D)

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Question 10

Time: 00:00:00

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?

23 years

24 years

25 years

None of these

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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.

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