SSC CGL 5th March 2020 Shift-1

Instructions

For the following questions answer them individually

Question 51

In an examination in which the full marks were 500, A scored 25% more marks than B, B scored 60% more marks than C and C scored 20% less marks than D. If A scored 80% marks, then the percentage of marks obtained by D is:

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Question 52

The given table represents the exports (in ₹crores) of four items A, B, C and D over a period of six years. Study the table and answer the question that follows.

In which year, the exports of item D were 1.4 times the average exports of item B during six years?

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Question 53

If $$x^2 - 2\sqrt{5}x + 1 = 0$$, then what is the value of $$x^5 + \frac{1}{x^5}$$?

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Question 54

Sudha sold an article to Renu for ₹576 at a loss of 20%. Renu spent a sum of ₹224 on its transportation and sold it to Raghu at a price which would have given Sudha profit of 24%. The percentage of gain for Renu is:

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Question 55

If the nine-digit number 708x6y8z9 is divisible by 99, then whatis the value of x + y + z?

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Question 56

The ratio of the ages ofA and B, 8 years ago, was 2 : 3. Four years ago,the ratio of their ages was 5 : 7. What will be the ratio of their ages 8 years from now?

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Instructions

The given table represents the exports (in ₹crores) of four items A, B, C and D over a period of six years. Study the table and answer the question that follows.

Question 57

The total exports of item A from 2012 to 2014 is what percentage less than the total exports ofall the four items in 2015? (Correct to one decimal place)

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Question 58

What is the ratio of the total exports of item A in 2014 and 2015 to the total exports of item C in 2011 and 2015?

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Instructions

For the following questions answer them individually

Question 59

The average of 24 numbers is 56. The average of the first 10 numbers is 71.7 and that of the next 11 numbers is 42. The next three numbers (i.e., $$22^{nd}, 23^{rd}$$ and $$24^{th}$$) are in the ratio $$\frac{1}{2} : \frac{1}{3} : \frac{5}{12}$$. What is the average of the $$22^{nd}  and  24^{th}$$ numbers?

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Question 60

If $$P = \frac{x^3 + y^3}{(x - y)^2 + 3xy}, Q = \frac{(x + y)^2 - 3xy}{x^3 - y^3}$$ and $$R = \frac{(x + y)^2 + (x - y)^2}{x^2 - y^2}$$, then what is the value of $$(P \div Q) \times R$$?

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