SSC CGL Tier-2 13th September 2019 Maths

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?

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:

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:

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:

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

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:

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?

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:

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 $$\angle A = ?$$

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?