SSC CGL 4 June 2019 Shift-1

Instructions

For the following questions answer them individually

Question 51

A circle is inscribed in a triangle ABC. It touches the sides AB. BC and AC at the points R. P and Q respectively. If AQ = 4.5 cm. PC = 5.5 cm and BR = 6 cm then the perimeter of the triangle ABC is:

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Question 52

The table shows the production of different types of cars (in thousands).


If the data related to the production of cars of type E is represented by a pie chart. then the central angle of the sector representing the data of production of cars in 2013 will be:

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Question 53

A truck covers a distance of 384 km at a certain speed. If the speed is decreased by 16 km/h. it will take 2 hours more to cover the same distance. 75% of its original speed (in km/h) is:

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Question 54

The ratio of the ages of A and B. four years ago. was 4 : 5, Eight years from now, the ratio of the ages of A and B will be 11 : 13. What is the sum of their present ages?

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Question 55

In $$\triangle$$ABC, F and E are the points on sides AB and AC. respectively, such that FE $$\parallel$$ BC and FE divides the triangle in two parts of equal area. If AD $$\perp$$ BC and AD intersects FE at G, then GD : AG = ?

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Question 56

If $$4 - 2 \sin ^2 \theta - 5 \cos \theta = 0, 0^\circ < \theta < 90^\circ$$, then the value of $$ \sin \theta + \tan \theta$$ is:

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Question 57

The table shows the production of different types of cars (in thousands).


What is the ratio of the total production of cars of type A in 2014 and type C in 2013 taken together to the total production of cars of type B in 2016 and type E in 2015 taken together?

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Question 58

If decreasing 120 by x% gives the same result as increasing 40 by x%, then x% of 210 is what percent less than (x+20)%of 180?

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Question 59

If $$(5\sqrt5 x^3 - 81 \sqrt3 y^3) \div (\sqrt5 x - 3\sqrt3 y) = (Ax^2 + By^2 +Cxy)$$,then the value of $$(6A + B - \sqrt{15} C)$$ is:

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Question 60

If a nine-digit number 985x3678y is divisible by 72. then the value of (4x — 3y) is:

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