SSC CGL Tier-2 13th September 2019 Maths

Instructions

For the following questions answer them individually

Question 21

S is the incenter of $$\triangle PQR$$. If $$\angle PSR = 125^\circ$$, then the measure of $$\angle PQR$$ is:

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Question 22

The value of $$0.4\overline{7} + 0.5\overline{03} - 0.3\overline{9} \times 0.\overline{8}$$ is:

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Question 23

If in $$\triangle ABC$$, D and are the points on AB and BC respectively such that DE $$\parallel$$ BC, and AD : AB = 3: 8, then (area of $$\triangle BDE$$) : ( area of quadrilateral DECA) = ?

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Question 24

Monika spends 72% of her income. If her income increases by 20% and savings increase by 15%, then her expenditure increases by: (correct to 1 decimal place)

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Question 25

A. B and C started a business with their capitals in the ratio 2 : 3 : 5. A increased his capital by 50% after 4 months, B increased his capital by $$33\frac{1}{3}\%$$ after 6 months and C withdrew 50% of his capital after 8 months, from the start of the business. If the total profit at the end of a year was ₹86,800,then the difference between the shares of A and C in the profit was:

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Question 26

The graph of the equations $$5x - 2y + 1 = 0$$ and $$4y - 3x + 5 = 0$$, interest at the point $$P(\alpha, \beta)$$, What is the value of $$(2\alpha - 3\beta)$$?

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Question 27

An article was sold at a profit of 14%. Hadit been sold for ₹121 less, a loss of 8% would have been incurred. If the same article would have been sold for ₹536.25, then the profit/loss per cent would have been:

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Question 28

A shopkeeper allows 18% discount on the marked price of an article and still makes a profit of 23%. If he gains ₹18.40 on the sale of the article, then what is the marked price of the article?

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Question 29

The value of $$\frac{\sec^2 \theta}{\cosec^2 \theta} + \frac{\cosec^2 \theta}{\sec^2 \theta} - (\sec^2 \theta + \cosec^2 \theta)$$ is:

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Question 30

The given graph shows the weights of students in a school on a particular day.

The number of students weighing less than 50 kg is what per centless than the number of students weighing 55 kg or more?

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