MCQs Global

A cricketer has a certain average for 10 innings

A cricketer has a certain average for 10 innings. In the eleventh inning, he scored 108 runs, thereby increasing his average by 6 runs. His new average is_____________?
A. 48 runs
B. 52 runs
C. 55 runs
D. 60 runs

View Answer
A. 48 runs

Let the average for 10 innings be x. Then,

(10x + 108)/11 = x + 6
= 11x + 66 = 10x + 108
= x = 42.
New average = (x + 6) = 48 runs

The average age of a husband, wife, and their child 3 years ago

The average age of a husband, wife, and their child 3 years ago was 27 years and that of a wife and the child 5 years ago was 20 years. The present age of the husband is___________?
A. 35 years
B. 30 years
C. 40 years
D. None of these

View Answer
C. 40 years

27×3+3×3=90 husband, wife and child
20×2+5×2=50 wide n child
Hsbnd age= 90-50
= 40 yrs

 

The arithmetic mean of the scores of a group ?

The arithmetic mean of the scores of a group of students in a test was 52. The brightest 20% secured a mean score of 80 and the dullest 25% a mean score of 31. The mean score of the remaining 55% is___________?
A. 45
B. 50
C. 51.4 approx.
D. 54.6 approx.

View Answer
C. 51.4 approx

Let the required means score be x. Then,

20 * 80 + 25 * 31 + 55 * x = 52 * 100
= 1600 + 775 + 55x = 5200
= 55x = 2825
= x = 565/11 = 51.4.

The total number of workers in the workshop is__________________?

The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is__________________?
A. 20
B. 21
C. 22
D. 23

View Answer
B. 21

Let the total number of workers be x. Then,

8000x = (12000 * 7) + 6000(x – 7)
= 2000x = 42000
= x = 21

The average age of students in a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ratio of the number of boys to the number of girls in the class is___________?

The average age of students in a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ratio of the number of boys to the number of girls in the class is___________?
A. 1:2
B. 2:3
C. 3:4
D. 3:5

View Answer
B. 2:3
Let the ratio be k: 1. Then,
k * 16.4 + 1 * 15.4 = (k + 1) * 15.8
= (16.4 – 15.8)k = (15.8 – 15.4)
= k = 0.4/0.6 = 2/3
Required ratio = 2/3 : 1 = 2:3

 

The average of women and child workers in a factory was 15%yr. The average age of all the 16 children was 8yr and the average age of women workers was 22 yrs if ten women workers were married then the number of unmarried women workers was________?

The average of women and child workers in a factory was 15%yr. The average age of all the 16 children was 8yr and the average age of women workers was 22 yrs if ten women workers were married then the number of unmarried women workers was________?
A. 16
B. 12
C. 8
D. 6

View Answer
D. 6

Let the number of women workers be x
According to the question 22*x+16*8 = 15(16+x)

=> 22x+128 =240 +15x

=> 22x-15x = 240 -128

=> 7x=112

Therefore, x=112/7 =16

Therefore, Unmarried women workers =(16-10) = 6

A person travels from x to y at a speed of 40 km/h and returns by increasing his speed by 50%. What is his average speed for both trips?

A person travels from x to y at a speed of 40 km/h and returns by increasing his speed by 50%. What is his average speed for both trips?
A. 36km/h
B. 45km/h
C. 48km/h
D. 50km/h

View Answer
C. 48km/h

Speed of person from x to y =40 km/h

Speed of person from y to x =(40×150)/100 = 60km/h

Since the distance travelled is the same

Therefore, Average Speed = (2x40x60)/40+60 = 48km/h

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___________?

The average weight of A, B, and C is 45 kg. If the average weight of A and B is 40 kg and that of B and C is 43 kg, then the weight of B is___________?
A. 17 kg
B. 20 kg
C. 26 kg
D. 31 kg

View Answer
D. 31 kg

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

If the average marks of three batches of 55, 60, and 45 students respectively 50, 55, 60, then the average marks of all the students is__________?

If the average marks of three batches of 55, 60, and 45 students respectively 50, 55, 60, then the average marks of all the students is__________?
A. 53.33
B. 54.68
C. 55
D. None of these

View Answer
B. 54.68

Required average = (55 x 50 + 60 x 55 + 45 x 60) / (55 + 60 + 45)
= (2750 + 3300 + 2700) /160
= 54.68 is correct Answer