SSC GD 12th Jan 2023 Shift 1

The product of 2 numbers is 6750 and their LCM is 450. If difference between the numbers is equal to their HCF, then find the smaller number.

Akash travels the distance from his home to school in three equal parts on his bicycle at a speed of 5 km/h, 10 km/h and 15 km/h, respectively. What is the average speed of Akash going from his home to school?

A number is decreased from 200 to 150. Find the decrease percentage.

Two athletes A and B are running on a circular track of length 1800 m from the same starting point at the same starting time,at the speeds of 9 m/s and 6 m/s, respectively. At how many distinct points will they meet while running in opposite directions?

Which of the given pairs form a co-prime numbers pair?

If 3:5 = x:75 , then what is the value of x?

Aarav and Durga together can do a piece of work in 33 days. They worked together for 15 days and then Aarav left the work and Durga alone finished the remaining work in 30 days.
Find the number of days in which Aarav alone can do the total work.

Rs.12,600 is divided among 15 labourers. There are 7 men, 3 women and 5 boys. If each woman receives three times as much as each boy, and each man receives seven times as much as each boy, the share of each woman is ________.

A cylinder has a diameter of 14 cm, and its curved surface area is 220 $$cm^{2}$$ . The volume of the cylinder is:

X gets on a lift at the ground floor which goes up at speed of 30 floors per minute whereas Y gets on another lift at the same time on the 50th floor which goes down at the speed of 45 floors per minute. At which floor will their paths cross? (lifts are moving without stopping at any floor)