2017 SSC CGL 09 Aug Shift-2

Instructions

For the following questions answer them individually

Question 91

PQRS is a cyclic quadrilateral and PQ is the diameter of the circle. If ∠RPQ = 38°, then what is the value (in degrees) of ∠PSR?

Question 92

Smaller diagonal of a rhombus is equal to length of its sides. If length of each side is 6 cm, then what is the area $$(in cm^2)$$ of an equilateral triangle whose side is equal to the bigger diagonal of the rhombus?

Question 93

In the given figure. PR and ST are perpendicular to tangent QR. PQ passes through centre 0 of the circle whose diameter is 10 cm. If PR = 9 cm. then what is the length (in cm) of ST? 


Question 94

What is the simplified value of (sec A + cos A)(sec A - cos A)?

Question 95

What is the simplified value of $$(\frac{cosecA}{cotA+tanA})^2$$ ?

Question 96

What is the simplified value of $$\frac{tanA}{1-cotA}+\frac{cotA}{1-tanA}-\frac{2}{sin2A}$$ ?


Instructions

The table given below shows the percentage of literate people in 6 cities. This table also shows the ratio of males to females among literate people. 



% of literate people of any city = (Literate people of the city / Total population of the city) x 100 

Question 97

If the total population of City 4 is 600000, then how many literate people are there in city 4?

Question 98

Total population of City 6 is 200000 and the total population of City 2 is 220000. What is the respective ratio of literate males of City 2 and literate females of City 6?

Question 99

If there are 259210 literate females in City 5, then what is the total population of City 5?


Question 100

The population of the 6 cities are 250000, 200000, 220000, 300000, 150000 and 400000 respectively. Which is the correct order of the number of literate people in these cities?

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