2017 SSC CGL 11 Aug Shift-3

Instructions

For the following questions answer them individually

2017 SSC CGL 11 Aug Shift-3 - Question 91


If a chord of a circle subtends an angle of 30° at the circumference of the circle, then what is the ratio of the radius of the circle and the length of the chord respectively?

2017 SSC CGL 11 Aug Shift-3 - Question 92


The tangents drawn at points A and B of a circle with centre O, meet at P. If ∠AOB = 120° and AP = 6 cm, then what is the area of triangle (in cm$$^2)$$ APB?

2017 SSC CGL 11 Aug Shift-3 - Question 93


P is a point outside the circle at distance of 6.5 cm from centre O of the circle. PR be a secant such that it intersects the circle at Q and R. If PQ = 4.5 cm and QR = 3.5 cm, then what is the radius (in cm) of the circle?

2017 SSC CGL 11 Aug Shift-3 - Question 94


What is the value of $$[\frac{1}{(1-tan\theta)}]-[\frac{1}{(1+tan\theta)}]$$ ?

2017 SSC CGL 11 Aug Shift-3 - Question 95


If tan θ + cot θ = x, then what is the value of $$tan^4θ + cot^4θ$$ ?

2017 SSC CGL 11 Aug Shift-3 - Question 96


If $$tan^2θ + cot^2θ = 2$$, then what is the value of 2secθ - cosec θ?

Instructions

The table given below represents the amount of education loan (in crores) disbursed by 5 banks of a country over 5 years. 

2017 SSC CGL 11 Aug Shift-3 - Question 97


What is the percentage increase in education loan disbursed by Bank 2 from 2010 to 2014?

2017 SSC CGL 11 Aug Shift-3 - Question 98


Which banks show a continuous trend of increase/decrease in loan amount disbursed over 5 years?

2017 SSC CGL 11 Aug Shift-3 - Question 99


What can be said about the two following ratios?

I. Loan amount disbursed by Bank 1 in 2011/ Loan amount disbursed by Bank 2 in 2014
II. Loan amount disbursed by Bank 3 in 2014/ Loan amount disbursed by Bank 4 in 2011

2017 SSC CGL 11 Aug Shift-3 - Question 100


Which of the following is the correct order of percentage increase in loan amount disbursed by the given banks from 2010 to 2014?

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