SSC CGL Tier-2 11th September 2019 Maths

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:

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:

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?

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?

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:

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

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:

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?

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

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: