SSC CHSL 20th October 2020 Shift-1

Instructions

For the following questions answer them individually

Question 51

The given pie-chart represents the percentage of students enrolled in five different sports. The total number of students is 2800.

If 24 students playing cricket are shifted to Kabaddi, then find the new ratio of the number of students in Cricket to those in Kabaddi.

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Question 52

Malti bought a TV for ₹ 8,800 including GST at 10%. What is the original cost of the TV?

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Question 53

If $$x^3+y^3=16$$ and $$x+y=4$$, then the value of $$x^4+y^4$$ is:

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Question 54

If $$\frac{4}{3}\left(x^2+\frac{1}{x^2}\right)=110\frac{2}{3}$$, find $$\frac{1}{9} \left(x^3 - \frac{1}{x^3}\right)$$, where $$x$$ > 0.

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Question 55

A is point at a distance 26 cm from the centre O of a circle of radius 10 cm. AP and AQ are the tangents to the circle at the point of contacts P and Q. If a tangent BC is drawn at a point R lying on the minor arc PQ to intersect AP at B and AQ at C, then the perimeter of $$\triangle$$ABC is:

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Question 56

Evaluate: $$[7 + 7 \times (7 + 7 \div 7)] + 7 \div 7$$.

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Question 57

ABC and BDE are two equilateral triangles such that D is the mid-point of BC. If the area of triangle ABC is 136 cm$$^2$$,
then the area of triangle BDE is equal to:

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Question 58

If $$\cos3\theta=\sin(\theta-34^{\circ})$$, then the value of $$\theta$$ as an acute angle is:

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Question 59

Rahul and Mithun travel a distance of 30 km. The sum of their speeds is 70 km/h and the total time taken by both to travel the distance is 2 hours 6 minutes. The difference between their speeds is:

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Question 60

Study the given bar chart and answer the question that follows.
Production of Fertilizers by a Company (in 10,000 tonnes) Over the Years

What was the approximate percentage increase in the production of fertilizers from 1998 to 1999?

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