SSC CHSL 12th August 2021 Shift-1

A sum of ₹ $$x$$ is divided among A, B and C such that the ratio of the shares of A and C is 8 : 7 and that of B and is 3 : 2. If the difference between the shares of A and B is ₹240, then what is the value of $$x$$ ?

If a pair of shoes marked at ₹350 is offered at ₹308, then what will be the discount percentage?

In $$\triangle ABC, AD$$ is the bisector of $$\angle A$$ meeting BC at D. If AB = 15 cm, BC = 10 cm and the length of BD is 2 cm less than that of DC, then the length of AC is:

Simplify the following expression.
$$\frac{13\frac{7}{9} \div \frac{2}{3} of \frac{1}{3} + \frac{2}{3} \times 3}{\frac{7}{5} of 325 - 20 + 7}$$

The value of $$\cosec (58^\circ + \theta) - \sec(32^\circ - \theta) + \sin 15^\circ \sin 35^\circ \sec 55^\circ \sin 30^\circ \sec 75^\circ$$ is:

Some persons went on an outstation tour. The histogram shows their ages.

How many persons are less than 20 years of age?

Study the given graph and answer the question that follows.

The total production of paper by company B in 2015 and 2017 to 2019 was what percentage less than 90% of the total production of paper by company A in 2014 to 2019 (correct to one decimal place)?

In $$\triangle ABC, D$$ and E are points on AB and BC, respectively, such that DE is parallel to AC. If DE = 3 cm, AC = 5 cm and the area of trapezium ACED = 32 cm$$^2$$, then what will be the area of $$\triangle BDE$$?

Study the given pie chart and answer the question that follows.
Total number of students admitted in a college = 700.
Distribution of the percentage of students in various courses.

Percentage-wise distribution of the number of boys

The ratio of the total number of girls admitted in B.Sc. Maths to the total number of students admitted in B.Sc. Maths is:

In a circle with centre O and radius 6.5 cm, a chord AB is at a distance 2.5 cm from the centre. If tangents at A and B intersect at P, then find the distance of P from the centre.