SSC CGL Tier-2 13th September 2019 Maths

Instructions

For the following questions answer them individually

Question 71

Study the following bar graph and answer the question given.

The total production of motorcycles of companies C, D and E is what per cent less than the total demand of motor cycles of all the companies during five years?

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Question 72

A, B and C started a business, Thrice the investment of A is equalto twice the investment of B and also equal to four times the investment of C, If C’s share out of the total profit is ₹4,863,then the share ofA in the profit is:

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Question 73

Two positive numbers differ by 2001, When the larger number is divided by the smaller number, the quotient is 9 and the remainder is 41. The sum of the digits ofthe larger number is:

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Question 74

Let $$x = \sqrt[6]{27} - \sqrt{6\frac{3}{4}}$$ and $$y = \frac{\sqrt{45} + \sqrt{605} + \sqrt{245}}{\sqrt{80} + \sqrt{125}}$$, then the value of $$x^2 + y^2$$ is:

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Question 75

If $$(5x + 2y) : (10x + 3y) = 5 : 9$$, then $$(2x^2 + 3y^2) : (4x^2 + 9y^2) = ?$$

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Question 76

The average of 18 numbers is 37.5. If six numbers of average X are added to them, then the average of all the numbers increases by one, The value of x is:

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Question 77

In an office, $$\frac{5}{8}$$ of the total number of employees are males and the rest are females. $$\frac{2}{5}$$ of the number of males are non technical workers while $$\frac{2}{3}$$ of the number of females are technical workers, What fraction of the total number of employees are technical workers?

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Question 78

A solid cylinder of base radius 12 cm and height 15 cm is melted and recast into m toys each in the shape of a right circular cone of height 9 cm mounted on a hemisphere of radius 3 cm. The value of n is:

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Question 79

In $$\triangle ABC, D$$ and $$E$$ are the points on $$AB$$ and $$AC$$ respectively such that $$AD \times AC = AB \times AE.$$ If $$\angle ADE = \angle ACB + 30^\circ$$ and $$\angle ABC = 78^\circ$$, then $$\angle A = ?$$

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Question 80

P and Q are two points on the ground on either side of a pole. The angles of elevation of the top of the pole as observed from P and Q are $$60^\circ$$ and $$30^\circ$$, respectively and the distance between them is $$84\sqrt3$$ m. What is the height (in m) of the pole?

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