SSC CGL Tier-2 11th September 2019 Maths

Instructions

For the following questions answer them individually

Question 31

Let $$a, b$$ and $$c$$ be the fractions such that $$a < b < c$$. If $$c$$ is divided by $$a$$, the result is $$\frac{5}{2}$$, Which exceeds b by $$\frac{7}{4}$$. If $$a + b + c = 1\frac{11}{12}$$, then $$(c - a)$$ will be equal to:

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Question 32

The value of $$\frac{(253)^3 + (247)^3}{25.3 \times 25.3 - 624.91  + 24.7 \times 24.7}$$ is $$50 \times 10^k$$, where the value of k is:

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Question 33

Travelling at 60 km/h, a person reaches his destination in a certain time. He covers 60% of his journey in $$\frac{2}{5}th$$ of the time. At what speed (in km/h) should he travel to cover the remaining journey so that he reaches the destination right on time?

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Question 34

Study the graph and answer the question that follows.

What is the ratio of the total number of workers whose daily wages are less than $500 to the total number of workers whose daily wages are ₹600 and above?

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Question 35

The value of $$\frac{(\cos 9^\circ + \sin 81^\circ)(\sec 9^\circ + \cosec 81^\circ)}{\sin 56^\circ sec 34^\circ + \cos 25^\circ \cosec 65^\circ}$$ is:

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Question 36

If $$\left(\sqrt{2} + \sqrt{5} - \sqrt{3}\right) \times k = -12$$ then what will be the value of $$k$$?

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Question 37

If $$\theta$$ lies in the first quadrant and $$\cos^2 \theta - \sin^2 \theta = \frac{1}{2}$$, then the value of $$\tan^2 2\theta + \sin^2 3\theta$$ is:

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Question 38

A sum of ₹18,000 is lent at 10% p.a. compound interest. compounded annually. What is the difference between the compound interest for $$3^{rd}$$ year and $$4^{th}$$ year?

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Question 39

What is the value of $$\cosec(65^\circ + \theta) - \sec(25^\circ - \theta) + \tan^2 20^\circ - \cosec^2 70^\circ $$ ?

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Question 40

The ratio of the income of A to that of B is 5 : 7. A and B save ₹4,000 and ₹5,000 respectively. If the expenditure of A is equal to $$66\frac{2}{3}\%$$ of the expenditure of B, then the total income of A and B is:

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