SSC CGL 4th March 2020 Shift-1

Instructions

For the following questions answer them individually

Question 51

In $$\triangle ABC, \angle A = 90^\circ$$, M is the midpoint of $$BC$$ and $$D$$ is a point on $$BC$$ such that $$AD \perp BC$$. If $$AB = 7$$ cm and $$AC = 24$$ cm, then $$AD : AM$$ is equal to:

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Question 52

On simplification, $$\frac{x^3 - y^3}{x[(x + y)^2 - 3xy]} \div \frac{y[(x - y)^2 + 3xy]}{x^3 + y^3} \times \frac{(x + y)^2 - (x - y)^2}{x^2 - y^2}$$ is equal to:

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Question 53

If $$5x + \frac{1}{3x} = 4$$, then whatis the value of $$9x^2 + \frac{1}{25x^2}$$?

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Question 54

The given table represents the number of computers sold by four dealers A, B, C and D during the first six months of 2016. Study the table carefully and answer the question that follows.

The total number of computers sold by dealer A during February to June is what percentage more than the total number of computers sold byall the dealers in June? (Correct to one decimal place)

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Question 55

The average of twelve numbers is 45.5. The averageof the first four numbers is 41.5 and that of the next five numbers is 48. The $$10^{th}$$ numberis 4 more than the $$11^{th}$$ number and 9 more than the $$12^{th}$$ number. Whatis the average of the $$10^{th}$$ and $$12^{th}$$ numbers?

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Question 56

The value of $$\frac{\tan 30^\circ \cosec 60^\circ + \tan 60^\circ \sec 30^\circ}{\sin^2 30^\circ + 4 \cot^2 45^\circ - \sec^2 60^\circ}$$ is:

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Question 57

Sonu saves 15% of her income. If her income increases by 20% and she still saves the same amount as before, then what is the percentage increase in her expenditure? (correct to one decimal place)

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Question 58

When 732 is divided by a positive integer x, the remainder is 12. How many values of x are there?

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Question 59

The circumference of the base of a conical tent is 66 m.If the height of the tent is 36 m, what is the area (in m$$^2$$) of the canvas used in making the tent?(Take $$\pi = \frac{22}{7}$$)

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Question 60

If a + b + c = 11, ab + bc + ca = 3 and abc = —135, then what is the value of $$a^3 + b^3 + c^3$$?

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