SSC Selection Post 2024 Graduate Level Question Paper (26-Jun-202..

If cos2θ=0, where θ is an acute angle, then find the value of sin(75
∘
−θ).

A thief steals an item and escapes, running at 13.5km/h. A policeman arrives at the spot of the crime after 8 minutes and immediately starts chasing the thief. 28 minutes after the policeman started to chase the thief, there is still a gap of 540m between the two. At what distance from the spot of the crime would the policeman catch up with the thief, and what is the speed (in km/h) at which the policeman ran?

If x+
x
1
​
=15, then the value of (x
2
+
x
2

1
​
) is:

On two items of equal prices, T gets 12% profit on one item and incurs 8% loss on other. What is his overall profit or loss percentage?

30 persons working 10 hours a day can do 5 units of work in 12 days. How many people are required to do 8 units of that work in 16 days if they work for 8 hours a day?