# Category: Mathematics

### What is the average of all prime numbers between 30 to 50?

1. 37
2. 37.8
3. 39
4. 39.8

Solution:

Prime Number between 30 to 50 = 31, 37, 41, 43, 47

Sum of prime number = 31 + 37 + 41 + 43 + 47 = 199

Average = 199/5

= 39.8

1. 20
2. 24
3. 22
4. 26

### If 35 laborer’s dig 805 cubic meters of earth in 5 hrs, how much of the earth will 30 laborer’s dig in 6 hours?

1. 726 m3
2. 828 m3
3. 869 m3
4. 1127 m3

Solution:

35 Laborers ⇒ 5hrs (for 805 cubic meters earth)

30 Laboureres ⇒ x

By Cross multiplication 30*5 = 35*x ⇒x=30/7 hrs

805 cubic meters ⇒ 30/7 hrs (for 30 labourers)

y cubic meters ⇒ 6hrs

805*6 = (30/7)*y

⇒ y = 805*6*(7/30)

⇒ y = 1127 cubic meters

1. 3000
2. 2000
3. 1000
4. 750

### If a cube has 3 inches width, 3 inches length and inches height, what would be the volume (in cubic inches) of the cube?

1. 9 cubic inches
2. 15 cubic inches
3. 18 cubic inches
4. 27 cubic inches

1. 4653
2. 4818
3. 4404
4. 4501

### A library received an average of 510 visitors ever Sunday and on other days 240. What is the average number of visitors in a month of 30 days beginning with Sunday?

1. 280
2. 285
3. 290
4. 295

Solution:

average = (vistors* sunday + vistors * otherdays) /30

(510 * 5 + 240 * 25) / 30

= 8550/30

= 285

### A and B can together” finish a work 30 days. They worked together for 20 days and then B left after another 20 days. A finished the remaining work. In how many days A alone can finish the work?

1. 40
2. 50
3. 54
4. 60 Top