2017 SSC CGL 08 Aug Shift-2

Instructions

For the following questions answer them individually

Question 81

5 years ago the average age of a family which includes father, mother and a son was 35 years. 3 years ago the average age of father and mother was 46 years. What is the present age (in years) of the son?

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Question 82

The cost price of 60 articles is same as the selling price of x articles. If there is a profit of 20%, then what is the value of x?

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Question 83

A person scores 45% of the total marks in the exam and still fails by 40 marks. The passing percentage of the exam is 55%. What is the maximum marks of the exam?

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Question 84

A man starts running from point P at 11:00 a.m. with a speed of 10 km/hr. He runs for 2 hours and then takes a 1 hour rest. He continues this process till he is caught by another man who starts at 2:00 p.m. from point P and runs non-stop at a speed of 15 km/hr towards the first man. At what time (in p.m.) will the first man be caught?

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Question 85

The difference of compound interest and simple interest for 3 years and for 2 years are in ratio 23 : 7 respectively. What is rate of interest per annum (in %)?

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Question 86

If $$\dfrac{x^{2}}{yz}+\dfrac{y^{2}}{zx}+\dfrac{z^{2}}{xy}=3$$, then what is the value of $$(x+y+z)^{3}$$ ?

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Question 87

If $$\frac{x^\frac{1}{4}}{x^\frac{-1}{4}}=2$$, then what is the value of $$x^{81}+\frac{1}{x^{81}}$$ ?

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Question 88

If a(a + b + c) = 45, b(a + b + c) = 75 and c(a + b + c) = 105, then what is the value of $$(a^{2}+b^{2}+c^{2})$$ ?

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Question 89

If $$x^{2}+\frac{1}{x^{2}}=1$$, then what is the value of $$x^{48}+x^{42}+x^{36}+x^{30}+x^{24}+x^{18}+x^{12}+x^{6}+1$$?

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Question 90

In the given figure, PQRS is a trapezium in which PMIISN, NR = 9 cm, PS = 12 cm, QM= NR and NR = SN. What is the area $$(in cm^{2})$$ of trapezium? 

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