SSC CGL Tier-2 11th September 2019 Maths

Instructions

For the following questions answer them individually

Question 21

Ina school, $$\frac{4}{9}$$ of the numberof students are girls and the rest are boys. $$\frac{3}{5}$$ of the number of boys are below 12 years of age and $$\frac{5}{12}$$ of the number of girls are 12 years or above 12 years of age. If the number of students below 12 years of age is 480, then $$\frac{5}{18}$$ of the total number of students in the school will be equal to:

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Question 22

$$\frac{(2 \sin A)(1 + \sin A)}{1 + \sin A + \cos A}$$ is equal to:

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Question 23

A and B can do a piece of work in 6 days and 8 days, respectively. With the help of C, they completed the work in 3 days and earned ₹1,848. What was the share of C ?

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Question 24

If $$x + y  + z = 11, x^2 + y^2  + z^2 = 133$$ and $$x^3 + y^3 + z^3 = 881$$, then the value of $$\sqrt[3]{xyz}$$ is:

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Question 25

The given pie chart shows the breakup of total number of the employees of a company working in different offices (A, B, C, D and E).
Total No. of employees = 2400

What is the number of offices in which the number of employees of the company is between 350 and 650?

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Question 26

Pipes A, B and C can fill a tank in 30 h, 40 h and 60 h respectively. Pipes A, B and C are opened at 7 a.m., 8 a.m., and 10 a.m., respectively on the same day. When will the tank be full?

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Question 27

If the radius of a right circular cylinder is decreased by 20% while its height is increased by 40%, then the percentage change in its volume will be:

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Question 28

The number of students in a class is 75, out of which $$33\frac{1}{3}\%$$ are boys and the rest are girls. The average score in mathematics of the boys is $$66\frac{2}{3}\%$$ more than that of the girls. If the average score of all the students is 66, then the average score of the girls is:

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Question 29

A shopkeeper allows 28% discount on the marked price of an article and still makes a profit of 20%. If he gains ₹30.80 on the sale of one article, then what will be the cost price of the article?

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Question 30

In $$\triangle ABC, \angle A = 52^\circ$$ and O is the orthocenter of the triangle (BO and CO meet AC and AB at E and F respectively when produced). If the bisectors of $$\angle OBC$$ and $$\angle OCB$$ meetat P, then the measure of $$\angle BPC$$ is:

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