## Maths Quiz for SSC CGL with Solution

Maths Quiz for SSC CGL

1. Two workers A and B are engaged to do a work. A working alone takes 32 days more to complete the job than if both worked together. If B worked alone, he would take 8 days more to complete the job than they both working together. What time would they take to do the work together?
1. 12 days
2. 16 days
3. 8 days
4. 18 days

2. If 1 x 2 x 3 x............ x n is denoted by n!. Then (8! - 7! - 6!) is equal to
1. 6 x 8 x 6!
2. 7 x 8 x 6!
3. 6 x 7 x 8!
4. 7 x 8 x 7!
3.
1. 0
2. 1
3. -1
4. 2

4. Pragati and Gupta leave points X and Y towards Y and X respectively simultaneously and travel in the same route. After meeting each other on the way, Pragati takes 4 hours to reach her destination, while Gupta takes 9 hours to reach his destination. If the speed of Pragati is 48 km/h. What is the Speed of Gupta?

1. 72 km/h
2. 32 km/h
3. 2 km/h
4. None of these
5. Find the length of the string bound on a cylindrical tank whose base diameter and height are 56/5 cm and 48 cm respectively. The string makes exactly 4 complete turns around the cylinder, while its two ends touch the tank's top and bottom.

1. 75 cm
2. 70 cm
3. 60 cm
4. 80 cm
6.
7. Mr. Kumar drives to work at an average speed of 48 km/hr . The time taken to cover the first 60% of the distance is 10 minutes more than the time taken to cover the remaining distance. How far is his office?

1. 30 km
2. 40 km
3. 45 km
4. 48 km

8.

9. Fresh fruit contains 68% water and dry fruit contains 20% water. How much dry fruit can be obtained from 100 kgs of fresh fruit?

1. 32 kgs
2. 40 kgs
3. 52 kgs
4. 80 kgs

10. Two guns are fired from the same place at an interval of 6 minutes. A person approaching the place observes that 5 minutes 52 seconds have elapsed between the hearing of the sound of the two guns . If the velocity of the sound is 330 m/sec, the man was approaching that place at what speed( in km/hr)?

1. 24
2. 27
3. 30
4. 36

Solutions
1. (2)
2. (1)
3. (1) . When x + (1/x) = 1. The value of X3= -1. Using this, the answer will be 0.
4. (2)
5. (4)
6. (3)

7. (2)
8. (3) 2 cosx  :
9. (3) 52 kgs :
10. (2) 27 km/h :