SSC Selection Post 2024 Graduate Level Question Paper (20-Jun-2024) (Shift-3)

Simplify the following expression:
0.7+0.4
0.7
2
+(0.4+0.2)(0.7)+(0.4×0.2)
​

If x
2
−1, 2x and x
2
+1 are the three sides of a right-angled triangle, then which of the following can be its hypotenuse?

Simplify the expression (0.3−0.2)(0.3
2
+0.3×0.2+0.2
2
).

In a 150m race, if R gets a 5m head start, then he would beat S by 35m. If S gets a 25m head start in a 100m race, then ________ would win the race by ___________ metres.

If tanθ+cotθ=2, then find the value of tan
53
θ+cot
38
θ.