SSC CGL Tier-2 11th September 2019 Maths

Instructions

For the following questions answer them individually

Question 41

In $$\triangle ABC, AB = 6 cm, AC = 8 cm,$$ and $$BC = 9 cm$$. The length of median $$AD$$ is:

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Question 42

If a nine-digit number 389 x 6378 y is divisible by 72, then the value of $$\sqrt{6x + 7y}$$ will be:

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Question 43

$$\frac{\left(1+\cos\theta\right)^2+\sin^2\theta}{\left(\text{coec}^2\theta-1\right)\sin^2\theta}=$$

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Question 44

When 12, 16, 18, 20 and 25 divide the least number x, the remainder in each case is 4 but x is divisible by 7. What is the digit at the thousands’ place in x ?

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Question 45

If $$(a + b) : (b + c) : (c + a) = 7 : 6 : 5$$ and $$a + b + c = 27$$, then what will be the value of $$\frac{1}{a} : \frac{1}{b} : \frac{1}{c}$$?

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Question 46

PQRS is a cyclic quadrilateral in which PQ = 14.4 cm, QR = 12.8 cm and SR = 9.6 cm. If PR bisects QS, whatis the length of PS?

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Question 47

In what ratio, sugar costing ₹60 per kg be mixed with sugar costing ₹42 per kg such that byselling the mixture at ₹56 per kg there is a gain of 12%?

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Question 48

When an article is sold for ₹355, there is a loss of 29%. To gain 21%,it should be sold for ₹:

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Question 49

$$\left(\frac{1-\tan\theta}{1-\cot\theta}\right)^2+1=$$

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Question 50

$$\sqrt{\frac{\cot\theta+\cos\theta}{\cot\theta-\cos\theta}}$$ is equal to:

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