# 2017 SSC CGL 10 Aug Shift-3

Instructions

For the following questions answer them individually

Question 81

The average runs conceded by a bowler in 5 matches is 45 and 15.75 in other 4 matches. What is the average runs conceded by the bowler in 9 matches?

Question 82

A person bought pens at 25 for a rupee and sold at 15 for a rupee. What is his profit percentage?

Question 83

80 litre mixture of milk and water contains 10% milk. How much milk (in litres) must be added to make water percentage in the mixture as 80%?

Question 84

A bus starts running with the initial speed of 21 km/hr and its speed increases every hour by 3 km/hr. How many hours will it take to cover a distance of 252 km?

Question 85

A sum of Rs 400 becomes Rs 448 at simple interest in 2 years. In how many years will the sum of Rs 550 amounts to Rs 682 at the same rate?

Question 86

What is the value of $$\frac{1+x}{1-x^4}\div\frac{x^2}{1+x^2}\times x(1-x)$$ ?

Question 87

If $$x+\frac{1}{x}=17$$, then what is the value of $$\frac{x^4+\frac{1}{x^2}}{x^2-3x+1}$$ ?

Question 88

What is the value of x in the equation $$\sqrt{\frac{1+x}{x}}-\sqrt{\frac{x}{1+x}}=\frac{1}{\sqrt{6}}$$ ?

Question 89

If $$2[x^2+\frac{1}{x^2}]-2[x-\frac{1}{x}]-8=0$$, then what are the two values of $$x-\frac{1}{x}$$ ?

Question 90

In ΔABC, ∠BAC = 90° and AD is drawn perpendicular to BC. If BD = 7 cm and CD = 28 cm, then what is the length (in cm) of AD?

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