SSC Selection Post 2021 Higher Secondary Level Question Paper (15 Mar, 2022) (Shift 2)

If cos
2
θ−sin
2
θ−3cosθ+2=0, 0
∘
<θ<90
∘
, then what is the value of
2
1+
5

​
cosθ+tanθ
​
?

Study the given graph and answer the following question.
Suppose the total production of barley over 4 years is 500 tonnes, and the average production of wheat, rice, and barley in 2017 is 120 tonnes.

45% of the total production of barley in the given 4 years is what per cent more than the average production (per year) of wheat, rice and barley in 2017?

The length of a wire (in m) of 0.5mm radius that can be drawn after melting a solid copper sphere of diameter 12cm is:

The average of a set of 20 consecutive integers is 21.5. What is the smallest integer in the set?

In ΔABC, AB and AC are produced to points D and E, respectively. If the bisectors of ∠CBD and ∠BCE meet at point O such that ∠BOC=76
∘
, then ∠A= ?