SSC CGL Tier-2 12th September 2019 Maths

The average weight of a certain numberofstudents in a group is 72 kg. If 10 students having an average weight of 78 kg leave and 4 students having an average weightof 80 kg join the group, the average weight of the students in the group decreases by 0.7 kg, The number of students initially in the group is:

If $$\frac{1 + sin \phi}{1 - sin \phi} = \frac{p^2}{q^2}$$, then $$sec \phi$$ is equal to 

The marked price of an article is ₹800 and it is sold at a discount of 19%. If there is a gain of 8%, then by what percent above the cost price was the article marked?

The base of a right prism is a triangle with sides 20 cm, 21 cm and 29 cm. If its volume is 7560 $$cm^3$$, then its lateral surface area (in $$cm^2$$) is:

The expression $$\sqrt{10+2\left(\sqrt{6}-\sqrt{15}-\sqrt{10}\right)}$$ is equal to:

A cylindrical vessel of radius 3.5 m is full of water. If 15400 litres of water is taken out from it, then the drop in the water level in the vessel will be:

The value of $$\frac{ sec\phi\left(1-\sin\phi\right)\left(\sin \phi +\cos \phi \right)\left(\sec \phi +\tan \phi \right)}{ \sin\phi\left(1+\tan\phi\right)+\cos\phi\left(1+\cot\phi\right)}$$ is equal to:

A, B and C start a business. A invests $$33\frac{1}{3} \%$$ of the total capital, B invests 25%of the remaining and C invests the rest. If thetotal profit at the end of a year is ₹1,62,000, then A’s share in profit is:

A solid metallic sphere of radius 8 cm is melted and drawn into a wire of uniform cross-section. If the length of the wire is 24 m, thenits radius (in mm) is:

The sides of a triangle are 56 cm, 90 cm and 106 cm. The circumference ofits circumcircle is: