SSC CHSL 19th April 2021 Shift-2

The perimeters of $$\triangle ABC$$ and $$\triangle DEF$$ are 39.6 cm and 26.4 cm, respectively, and $$\triangle ABC \sim \triangle DEF$$. What is the ratio of the areas of $$\triangle ABC$$ and $$\triangle DEF$$?

By selling an article at $$\frac{7}{12}$$ of its selling price, a man loses 16%. If he sells it at 90% of its original selling price, then what will be the profit percentage?

In $$\triangle PQR, \angle PQR = 135^\circ, PQ = 8\sqrt{2}$$ cm and PR = 17 cm. What is the length(in cm) of QR?

If $$x^2 - 5\sqrt{2} x - 1 = 0$$, then what will be the value of $$x^3 - \frac{1}{x^3}?$$

Pipes A and B can empty a full tank in 36 and 45 minutes, respectively, whereas pipe C alonecan fill the tank in 15 minutes. B and C are opened together for 15 minutes, and then both are turned off and A is opened. Pipe A will empty the tank in (in minutes):

PQRS is a cyclic quadrilateral with QR as the diameterofthe circle. If $$\angle SQR = 24^\circ$$ , then what will be the measure of $$\angle QPS$$?

Trains A and B of 15lengths 329 m and 296 m. respectively, are running in opposite directions on parallel tracks, at the speeds of 85 km/h and 65 km/h, respectively. In what time (in seconds) will they cross each other?

Study the given graph and answer the question the follows.

In 2019, if the production of vehicles of type A increased by the same percentage as that in 2018, over its previous year, then what was the number(in thousands) of vehicles of type A produced in 2019?

Study the given graph which shows the target and actual production of ACs (in thousands) of a factory over five months and answer the question that follows.

The actual production of ACs in February is what per cent less than the average target production of ACs over the period of five months (correct to the nearest integer)?

If $$\sin \theta = \frac{2\sqrt{ab}}{a + b}, a > b > 0$$, then the value of $$\frac{\cos \theta + 1}{\cos \theta - 1}$$ will be :