Quant Quiz

Q1)-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

Ans.- A
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

Q2)-Average age of boys in a class is 16 years and average age of girls is 15 years, what is the average age of all ?

15.5

15

16

Cant be determined

Ans.- D
As number of girls and boys is not given so result cant be determined

Q3)-A batsman makes a score of 87 runs in the 17th match and thus increases his average by 3. Find his average after 17th match

37

36

39

35

Ans.- C
Let the average after 17th match is x
then the average before 17th match is x-3
so 16(x-3) + 87 = 17x
x = 87 - 48 = 39

Q4)-The average of five consecutive odd numbers is 61. What is the difference between the highest and lowest numbers :

4

8

12

16

Ans.- B
Let the numbers be x, x + 2, x + 4, x + 6 and x + 8.
Then [x + (x + 2) + (x + 4) + (x + 6) + (x + 8) ] / 5 = 61.
or 5x + 20 = 305 or x = 57.
So, required difference = (57 + 8) - 57 = 8

Q5)-Average of five numbers is 27. If one number is excluded the average becomes 25. The excluded number is

35

45

55

65

Ans.- A
Number is (5*27) - (4*25) = 135-100 = 35

Q6)-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?

5.5

5

6.25

7.4

Ans.- C
Runs scored in the first 10 overs = 10 × 3.2 = 32
Total runs = 282
Remaining runs to be scored = 282 - 32 = 250
Remaining overs = 40
Run rate needed =250/40=6.25

Q7)-The average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person ?

70 kg

75 kg

80 kg

85 kg

Ans.- D
Total weight increased = (8 x 2.5) kg = 20 kg.
Weight of new person = (65 + 20) kg = 85 kg.

Q8)-The average age of a class of 39 students is 15 years. If the age of the teacher be included, then the average increases by 3 months. Find the age of the teacher.

20 years

25 years

28 years

30 years

Ans.- B
Total age of 39 students = (39x15) years = 585 years
Average age of 40 persons = 15 years 3 months = 61/4 years
Total age of of 40 persons = (61/4) x 40 years = 610 years
So, age of the teacher = 610 - 585 years = 25 years

Q9)-The average weight of A, B & C is 45 Kg. If the average weight of A and B be 40 Kg and that of B & C be 43 Kg than the weight of B is :

17 kg

20 kg

22 kg

31 kg

Ans.- D
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 equation (ii) & (iii) , we get A+2B+C = 166 ...........(iv)
Subtracting equation (i) from equation (iv),
we get B = 31, So, B's weight = 31 Kg.

Q10)-A pupil's marks were wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half. The number of pupils in the class is :

35

38

40

45

Ans.- C
Let there be x pupils in the class.
Total increase in marks = (x * 1/2) = x/2.
x/2 = (83 - 63) => x/2 = 20 => x = 40.