SSC Selection Post 2020 Matriculation Level Question Paper (09 Nov, 2020) (Shift 1)

Som is slower than Ram, and each travels 150 km. The sum of their speeds is 25 km/h and the sum of the time taken by them is 25 hours. Then, Som's speed is:

If x+y+z=3 and xy+yz+zx=−11, then what is the value of x
3
+y
3
+z
3
−3xyz?

If the selling price of 45 articles is equal to the cost price of 50 articles, the loss or gain percentage is:

Without stopped, a passenger train runs at an average of 120 km/h, whereas with stoppages, it runs at an average speed of 80 km/h. What is the total time taken by the train for stoppages on a route of length 450 km?

The average of n numbers is 42. If 60% of the numbers are increased by 5 each and the remaining numbers are decreased by 10 each. then what will be the average of the numbers so obtained?