SSC CGL 13th August 2021 Shift-1

Study the following table and answer the question:
Number of cars sold by dealers A, B, C, D & E during first six months of 2018.

The ratio of the total number of cars sold by dealer B in January. April and June to the total number of cars sold by dealers A and D in March is:

Let $$\triangle ABC \sim \triangle PQR$$ and $$\frac{ar(\triangle ABC)}{ar(\triangle QPR)} = \frac{144}{49}$$. If AB = 12 cm, BC = 7 cm and AC = 9 cm, then PR(in cm) is equal to:

If $$\frac{\cos^2 \theta}{\cot^2 \theta + \sin^2 \theta - 1} = 3, 0^\circ < \theta < 90^\circ$$, then the value of $$(\tan \theta + \cosec \theta)$$ is:

If $$8(x + y)^3 - 27(x - y)^3 = (5y - x)(Ax^2 + By^2 + Cxy)$$, then what is the value of $$(A + B - C)$$?

If $$x + y = 4$$ and $$\frac{1}{x} = \frac{1}{y} = \frac{16}{15}$$, then what is the value of $$(x^3 + y^3)$$?

$$\triangle ABC \sim \triangle PQR$$. The areas of $$\triangle ABC$$ and $$\triangle PQR$$ are 64 cm$$^2$$ and 81 cm$$^2$$, respectively and AD and PT are the medians of $$\triangle ABC$$ and $$\triangle PQR$$, respectively. If PT = 10.8 cm, then AD =?

A chord 21 cm long is drawn in a circle of diameter 25 cm. The perpendicular distance of the chord from the centre is:

Study the table and answer the question.
Table shows District-wise data of the number of primary school teachers posted in schools of a city.

What is the ratio of the number of male teachers to the number of female teachers in the city?

X, Y are two points in a river. Points P and Q divide the straight line XY into three equal parts. The river flows along XY_andthe time taken by a boat to row from X to Q and from Y to Q are in the ratio 4 : 5. Theratio of the speed of the boat downstream to that of the river current is equal to:

When x is subtracted from each of 19, 28, 55 and 91. the numbers so obtained in this order are in proportion. What is the value of x?