SSC Selection Post 2021 Graduation Level Question Paper (08 Feb, 2022) (Shift 3)

To do a certain work, A is 40% more efficient than B. Working together, they can do the same work in 15 days. A started the work and left after 15 days. B and C together completed the remaining work in next 10 days. C alone can do one-third of the original work in:

If
secθ−tanθ
secθ+tanθ
​
=
3
5
​
, 0
∘
<θ<90
∘
, then what is the value of (cscθ+cosθ+cotθ)?

A sum of Rs. 6,300 is divided among A, B, C and D such that the ratio of the combined share of A and D to the combined share of B and C is 11:10 and the ratio of the shares of B and D is 8:9. If C receives Rs. 1,560, then what is the difference (in Rs.) between the shares of A and B?

The cost price of two articles A and B is the same. Article A is sold at a loss of 24% and article B is sold for Rs. 270 more than the selling price of A. If the net profit by selling both the articles is 12%, then what is the selling price (in Rs.) of article B?

A race track is in the shape of a ring whose inner and outer circumferences are 880 m and 1012 m, respectively. What is the area (in m
2
) of the track? (Take π=
7
22
​
)