SSC CGL Tier-2 29th January 2022 Maths

A loan is to be returned in two equal yearly instalments. If the rate of interest is 10% p.a. compounded annually and each instalment is ₹5,808. then 60% of the total interest (nearest to a ₹) charged in this scheme is:

The curved surface area and the volume of a cylindrical objet are 88 $$cm^{2}$$ and 132 $$cm^{3}$$, respectively. The height (in cm) of the cylindrical objet is:
(Take $$\pi=\frac{22}{7}$$)

In $$\triangle$$LMN , $$LM = 5\sqrt{2}$$ cm, LN = 13 cm and $$\angle LMN = 135^\circ$$. What is the lenth (in m) of MN?

Study the given graph and answer the question that follows.

What is the ratio of the total production of fertilisers by country X in 2017 and country Y in 2020 to the production of fertilisers by country Z in 2019?

S and T are points on the sides PQ and PR . respectively, of $$\triangle$$PQR such that PS $$\times$$ PR = PQ $$\times$$ PT . If $$\angle Q = 96^\circ$$ and $$ \angle PST = \angle PRQ + 34^{\circ}$$, then $$\angle$$QPR = ?

In 6 minutes, $$\frac{4}{13}$$ of a bucket ia filled. How much time will it take to the remaining bucket?

$$\left(\frac{\tan^{3}\theta}{\sec^{2}\theta}+\frac{\cot^{3}\theta}{\csc^{2}\theta}+2\sin\theta\cos\theta\right)\div\left(1+\csc^{2}\theta+\tan^{2}\theta\right), 0^\circ < \theta < 90^\circ$$, is equal to:

If the sum of two positive numbers is 65 and the square root of their product is 26, then the sum of their reciprocals is:

The ratio of the distance between two places A and B to the distance between places B and C is 3 : 5. A man travels from A to B at a speed of x km/h and from B to C at a speed of 50 km/h. If his average speed for the entire journey is 40 km/h, then what is the value of (x - 10) : (x + 1 )?

A and B can do a work in $$26\frac{2}{3}$$ days. Band C together can complete the same work in 48 days, while A and C together can complete the same work in 30 days. How long (in days) will A alone take to complete 60% of the work?