SSC CGL 3rd Dec 2022 Shift-1

$$\frac{1}{1+\cos(90^{\circ} - \theta)} + \frac{1}{1-\cos(90^{\circ} - \theta)} $$= __________.

If $$\left(4a + \frac{5}{a} + 5\right)= 14$$, what is the value of $$\left(16a^{2} + \frac{25}{a^{2}}\right)$$

Study the following table and answer the question that follows.

A school has four sections A, B, C and D of Class IX students.

The results of Science and Mathematics examinations are shown in the following table.

What percentage of students of section C Passed in Science but failed in Mathematics?

Ruchi, Khushi and Teju can do a piece of work in 30, 40 and 60 days respectively. In how many days can Ruchi do the work, if she is assisted by both Khushi and Teju on every third day?

If the diameter of a sphere is 3.5 cm, then what is the total surface area of the sphere?

Ram loses $$12\frac{1}{2}$$% of his money and after spending 75% of the remainder, is left wit11 ₹630. How much money did Ram have initially?

If $$X - \frac{1}{x} = 13$$, what will be the value of $$X^{4} - \frac{1}{x^{4}} = 13$$

Study the given chart and answer the question that follows.
The chart shows the quantities of machines (Ml M2, M3) available in different stores (S1 , S2, S3 S4).

Which stores have more number of M2 machines than the average number of M2 machines per store?

If a ∶ b = c ∶ d, then which of the following ratio is equal to a ∶ c?

The factors of $$x^{4} + x^{2} + 25$$ are: