SSC CGL Tier-2 12th September 2019 Maths

Instructions

For the following questions answer them individually

Question 1

Two-third of the number of employees of a companyare males andthe rest are females. If $$\frac{3}{8}$$ of the male employees and $$\frac{2}{5}$$ of the female employees are temporary employees and the total number of permanent employees is 740. then $$\frac{7}{15}$$ of the total number of employees exceeds the number of temporary female employees by:

Question 2

Three fractions $$x, y$$ and $$z$$  are such that $$x > y > z$$.When small of them divided by the greatest, the result is $$\frac{9}{16}$$, which exceeds $$y$$ by 0.0625.If $$x + y + z = 1 \frac{13}{24}$$,then the value of $$x + z$$ is

Question 3

If the 11-digit number 5678x43267y is divisible by 72, then the value of $$\sqrt{5x + 8y}$$ is:


Question 4

What is the ratio of the third proportionalto 0.4 and 0.8, to the mean proportional between 13.5 and 0.24?

Question 5

If $$x + \frac{1}{16x} = 3$$ then the value of $$16x^3+\frac{1}{256x^3}$$ is

Question 6

If 60% of a number is 120 more than 20% of the number, then 28% of the number is less than $$33\frac{1}{3}\%$$ of the number by:


Question 7

A sum lent out at simple interest amounts to ₹6076 in 1 year and ₹7504 in 4 years. The sum and the rate of interest p.a. are respectively:

Question 8

In $$\triangle ABC$$, the medians AD, BE and CF meet at O. What is the ratio of the area of $$\triangle ABD$$ tothe area of $$\triangle AOE$$?

Question 9

If $$x + y + z = 2, xy + yz + zx = -11$$ and $$xyz = -12$$, then what is the value of $$\sqrt{x^3 + y^3 + z^3 - 2}$$?


Question 10

The value of ($$1 \frac{1}{3}÷2\frac{6}{7}of 5 \frac{3}{5}$$)÷($$ 6 \frac{2}{5}÷4\frac{1}{2}of 5 \frac{1}{3}$$) $$\times$$ ($$ \frac{3}{4}\times 2\frac{2}{3}÷\frac{5}{9} of $$1$$\frac{1}{5}) = 1 + k$$,where $$k$$ lies between

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