SSC CGL 4th March 2020 Shift-3

Instructions

For the following questions answer them individually

Question 51

The given table represents the production of different types of motorcycles (in thousands)over a period of six years.
Study the table carefully and answer the question that follows.

During 2015, the production of which type of motorcycle was more than 25% of the total production of all types of motorcycles in 2017?

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Question 52

The average age of a number of persons in a group was calculated as 35 years, which was 2.5 years more than the correct average as there was an error in recording the age of two persons as 38.5 years and 40 years instead of 29 years and 22 years respectively. The number of persons in the group was:

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Question 53

If $$\sec \theta + \tan \theta = p, 0^\circ < \theta < 90^\circ$$, then $$\frac{p^2 - 1}{p^2 + 1}$$ is equal to:

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Question 54

The chords AB and CD ofa circle intersect at E. IfAE = 12 cm, BE = 20.25 cm and CE = 3 DE,thenthe length (in cm) of CE is:

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Question 55

If x + y + z = 3, and $$x^2 + y^2 + z^2 = 101$$, then what is the value of $$\sqrt{x^3 + y^3 + z^3 - 3xyz}$$?

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Question 56

If $$12x^2 - 21x + 1 = 0, $$ then what is the value of $$9x^2 + (16x^2)^{-1}$$?

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Question 57

A sum of ₹ x was divided between A, B, C and D in the ratio $$\frac{1}{3} : \frac{1}{5} : \frac{1}{6} : \frac{1}{9}$$. If the difference between the shares of B and D is ₹832, then the value of x is:

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Question 58

The area of a field in the shape of a regular hexagon is $$2400 \sqrt{3} m^2$$. The cost of fencing the field at ₹16.80/metre is:

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Question 59

Places A and B are 144 km apart. Two cars start simultaneously, one from A and the other from B. If they move in the same direction, they meet after 12 hours, but if they move towards each other they meet after $$\frac{9}{8}$$ hours. The speed (in km/h)of the car moving at a faster speed, is:

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Question 60

A, B and C donate 8%, 7% and 9%,of their salaries, respectively to a charitable trust. The salaries of A and B are same and the difference between their donations is ₹259. Thetotal donation of A and B is ₹1,185 more than that of C. The total donation ofA and C is what percentage ofthe total salaries of A, B and C? (Correct to one decimalplace)

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