2017 SSC CGL 12 Aug Shift-2

Instructions

For the following questions answer them individually

Question 91

In triangle ABC, ∠ABC = 90°. BP is drawn perpendicular to AC. If ∠BAP = 30°, then what is the value (in degrees) of ∠PBC?

Question 92

In the given figure, PQRS is a rectangle and PTU is a triangle. If PQ = 11 cm, UR = 8 cm, TR = 1 cm and QT = 3 cm, then what is the length (in cm) of the line joining the mid points of PT and TU? 

Question 93

In the given figure, area of isosceles triangle PQT is $$72cm^2$$. If QT = PQ, PQ = 2 PS and PTIISR, then what is the area $$(in cm^2)$$ of the trapezium PQRS? 


Question 94

What is the simplified value of (cosec A + sin A)(cosec A - sin A)?

Question 95

What is the simplified value of $$\sqrt{\frac{sec\theta}{sec\theta-1}+{\frac{sec\theta}{sec\theta+1}}}$$ ?

Question 96

What is the simplified value of $$[{\frac{cosA}{(1-tanA)}+{\frac{sinA}{(1-cotA)}}}]^2$$ ?


Instructions

The line chart given below shows the per acre yield (in million tonnes) of tea of 7 countries. 

Question 97

What is average per acre yield (in million tonnes) of these 7 countries?

Question 98

What is the respective ratio of average per acre yield of the 3 countries having the highest yield to average per acre yield of the 3 countries having the least yield?

Question 99

Total per acre yield of India and China is what percent of the total per acre yield of the remaining countries?


Question 100

All the countries are arranged in ascending order of per acre yield. If bottom 2 countries increases their per acre yield by 20% and all other countries increase their per acre yield by 10%, then what is the new average per acre yield (in million tonnes)?

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