SSC CHSL 3 July 2019 Shift-1

Instructions

For the following questions answer them individually

Question 51

An article is marked at a price which is 1.2 times its cost price. After allowing a certain discount on the marked price, the profit reduces to 10%. The discount percent is:

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Question 52

If $$x + y + z = 2, xy + yz + zx = -11$$, then the value of $$x^3 + y^3 + z^3 - 3xyz$$ is:

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Question 53

The given Bar Graph presents Different Type of Vehicles (in lakhs) exported by a company in 2016 and 2017.

The average number of all types of vehicles exported by the company in 2016 is what percent less than the number of type B vehicles exported in 2017 ?

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Question 54

If $$\dfrac{(\sin \theta - \cosec \theta )(\cos \theta - \sec \theta)}{\tan^2 \theta - \sin^2 \theta} = r^3,  then  r =$$

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Question 55

The given Bar Graph presents Different Type of Vehicles (in lakhs) exported by a company in 2016 and 2017.

The export of which type of vehicle in 2017 is approximately 18.3% more than the export of same type of vehicle in 2016?

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Question 56

The average weight of the students in a group was 75.4 kg. Later on, four students having weights, 72.9 kg, 73.8 kg, 79.5 kg and 87.4 kg joined the group. As a result, the average weight of all the students in the group increased by 0.24 kg. What was the number of students in the group,initially?

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Question 57

If x is real, and $$x^4 - 5x^2 - 1 = 0$$, then the value of $$\left(x^6 - 3x^2 + \frac{3}{x^2} - \frac{1}{x^6} + 1\right)$$ is:

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Question 58

PQRS is a cyclic quadrilateral. If $$\angle$$P is four times $$\angle$$R and $$\angle$$S is three times $$\angle$$Q, then the sum of $$\angle$$Q and $$\angle$$R is:

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Question 59

The simplified value of $$3 \times 2 \div 3  of  2 \times 3 \div (5 + 5 \times 5 \div 5  of  5 - 5 \div 10  of  \frac{1}{5})$$ is:

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Question 60

A 360 m longtrain running at a uniform speed, crosses a platform in 55 seconds and a man standing on the platform in 24 seconds. What is the length (in metre) of the platform?

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