SSC CGL 6 June 2019 Shift-1
For the following questions answer them individually
If $$12 \cot^2 \theta - 31 \cosec \theta + 32 = 0, 0^\circ < \theta < 90^\circ$$, then the value of $$\tan \theta$$ will be:
The income of A is 50% more than that of B. If the income of A is increased by 40% and the income of B is increased by 90%, then the percentage increase in their combined income will be:
The table shows the production of different types of cars by a company (in thousands) in 5 years.
The average production of type D cars in 5 years is what percent less than the production of type E cars in 2018? (Correct to one decimal place)
What is the ratio of the total production of type C cars in 2015 and type D cars in 2017 taken together to the total production of type B cars in 2016 and type A cars in 2017 taken together?
For the following questions answer them individually
When x is subtracted from each of 21, 22, 60 and 64, the numbers so obtained, in this order, are in proportion. What is the mean proportional between (x + 1) and (7x + 8) ?
The value of $$\sqrt{\sec^2 \theta + \cosec^2 \theta} \times \sqrt{\tan^2 \theta - \sin^2 \theta}$$ is equal to:
If $$(8x^3 - 27y^3) \div (2x — 3y) = (Ax^2 + Bxy + Cy^2)$$, then the value of (2A + B - C) is:
If ab + bc + ca = 8 and $$a^2 + b^2 + c^2 = 20$$, then possible value of $$\frac{1}{2}(a + b + c)[(a - b)^2 + (b - c)^2 + (c - a)^2]$$ is:
The volume of a metallic cylindrical pipe is 7480 cm$$^3$$ . If its length is 1.4 m and its external radius is 9 cm, then its thickness (given $$\pi = \frac{22}{7}$$) is:
