2017 SSC CGL 10 Aug Shift-2

Instructions

For the following questions answer them individually

2017 SSC CGL 10 Aug Shift-2 - Question 91


In triangle ABC, ∠ABC = $$15^o$$ .D is a point on BC such that AD = BD. What is the measure of ∠ADC (in degrees)?

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2017 SSC CGL 10 Aug Shift-2 - Question 92


The length of diagonal of a square is $$9\sqrt2$$ cm. The square is reshaped to form an equilateral triangle. What is the area (in cm2) of largest incircle that can be formed in that triangle?

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2017 SSC CGL 10 Aug Shift-2 - Question 93


The length of the common chord of two intersecting circles is 12 cm. If the diameters of the circles are 15 cm and 13 cm, then what is the distance (in cm) between their centers?

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2017 SSC CGL 10 Aug Shift-2 - Question 94


What is the simplified value of $$sec^4 θ - sec^2 θ tan^2 θ$$ ?

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2017 SSC CGL 10 Aug Shift-2 - Question 95


What is the simplified value of (sin A - cosec A)(sec A - cos A) (tan A + cot A)?

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2017 SSC CGL 10 Aug Shift-2 - Question 96


If $$\frac{1}{cos\theta}-\frac{1}{cot\theta}=\frac{1}{p}$$, then what is the value of cos θ?

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Instructions

The table given below represents the production and sales of wheat in 4 different countries A, B, C and D over a period of 4 years. At the end of year 2010 A, B, C and D had a stock of 5200, 3500, 7835 and 1956 (in '000 quintals) of wheat respectively. For any given year, the stock of wheat is calculated as: Stock of year (n + 1) = stock at end of year (n) + production in year (n + 1) — sales in year (n + 1) And, Surplus of year (n) = production in year (n) — sales in year (n) 


2017 SSC CGL 10 Aug Shift-2 - Question 97


What is the surplus (in '000 quintals) of country A of years 2013 and 2014 taken together?

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2017 SSC CGL 10 Aug Shift-2 - Question 98


What is the stock (in '000 quintals) of country C at end of the 4 year period?

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2017 SSC CGL 10 Aug Shift-2 - Question 99


What is the difference (in '000 quintals) in average production and average sales respectively of country C in the given four years?

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2017 SSC CGL 10 Aug Shift-2 - Question 100


What can be said about total surplus of country B and country D over the 4 years?

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