Toper MCQs

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

1 acre is equal to ________square foot?

1 acre is equal to ________square foot?
A. 45434 square foot
B. 34343 square foot
C. 43572 square foot
D. 43560 square foot

View Answer
D. 43560 square foot

Acre, the unit of land measurement in the British Imperial and United States Customary systems, equal to 43,560 square feet, or 4,840 square yards. One acre is equivalent to 0.4047 hectares (4,047 square meters).

Suppose Arif can read 39 pages of a book in half an hour. How long will It take her to finish a book that is 1287 pages?

Suppose Arif can read 39 pages of a book in half an hour. How long will It take her to finish a book that is 1287 pages?

A. 16 Hours
B. 16.5 Hours
C. 17 Hours
D. 15.5 Hours

View Answer
B. 16.5 Hours

Arif can Read 39 pages in 30 minutes.
How much time is required to read 1287 pages?
39 page read time = 30 minute
01 page read time=30/39=0.76923 minute
1287 pages read time=0.769*1287=990 minute
990 conversion into hours = 990/60 = 16.5 Hours

Another Simple Explanation:

39 pages for a half hour equals 78 pages per hour and if the book has 1287 pages then 1287 pages divided by 78 pages per hour gives you 16.5.