SSC CHSL 15th April 2021 Shift-1

Study the given pie chart and answer the question that follows.
The pie chart represents the popularity of ice-cream flavours among families in the year 2019.

In 2019, if 20% of the ‘Other’ category was Anjeer flavour and 4082 people preferred Anjeer flavour, then how many people were surveyed?

If $$\theta$$ is an acute angle and $$\sin \theta = \cos \theta$$, then the value of $$2 \tan^2 \theta + \sin^2 \theta - 1$$ is equal to:

Rakeshsold a car for ₹5,00,000 at a 28% profit. At what price should hesell it to get a 32% profit?

The value of $$25 + 184 \div [150 - \left\{9 \times 9 + (83 - 4 \times 15)\right\}]$$ is:

In a class, 60% of the students are girls and the rest are boys. 45% of the girls pass an examination and 40% of the boys failed. If the number of girls who failed is 66, the number of boys who passed the examination is:

$$\triangle ABC \sim \triangle PQR$$. The perimeters of $$\triangle ABC$$ and $$\triangle PQR$$ are 72 cm and 43.2 cm, respectively. What is the ratio of the area of $$\triangle ABC$$ to the area of $$\triangle PQR$$?

If $$x + y + z = 5, \frac{1}{x} + \frac{1}{y} + \frac{1}{z} = 0, xyz = 12$$ and $$x^3 + y^3 + z^3 = 151$$, then the value of $$(x^2 + y^2 + z^2)$$ is:

AB is a diameter ofa circle with centre O. If C is any point on the circle such that $$\angle BAC = 42^\circ$$, then find the measure of $$\angle BOC$$,

Study the graph and answer the question that follows.
The given chart represents the demand and production of leather bags of five companies U, V, X, Y and Z.

If the production of leather bags by company is equal to 'm' times of the production of leather bags by company X. then the value of 'm' is:

$$\triangle ABC \sim \triangle EDF$$, Area DEF = 49 : 4. If AB, AC, BC are, respectively, 10 cm, 14 cm, 21 cm, then what is the length (in cm) of EF?