SSC CHSL 12th August 2021 Shift-1

Instructions

For the following questions answer them individually

Question 51

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 $$x$$ ?

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Question 52

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

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Question 53

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:

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Question 54

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

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Question 55

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:

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Question 56

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


How many persons are less than 20 years of age?

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Question 57

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)?

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Question 58

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 $$\triangle BDE$$?

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Question 59

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:

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Question 60

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.

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