SSC CGL Tier-2 8th August 2022 Maths

Ratio of monthly incomes of A and B is 4 : 5 respectively. Ratio of monthly savings of A and B is 14 : 19 respectively. If the monthly expenditure of A and B is ₹ 1200 each, then what is the difference between the monthly incomes of A and B?

An person 1.8 metre tall is $$30\sqrt{3}$$ metre away from a tower. If the angle of elevation from his eye to the top of the tower is 30 degree, then what is the height (in m)of the tower?

A, B and C staned a business with initial investments of ₹ 20000, ₹ 25000 and ₹ 10000, respectively. After 5 months from start, A invested ₹ 4000 more. After 6 months from sta1t, C invested ₹ 8000 more. After 4 months from start, B withdrew ₹ 8000. At the end of the year, they will receive a profit of ₹ 'x' . In what ratio they will shru·e the profits?

AB is the chord of a circle such that AB = 10 cm. If the diameter of the circle is 20 cm, then the angle subtended by the chord at the centre is __________

If $$\sqrt{3} \tan \theta = 3 \sin \theta$$, then what is the value of $$\sin^2 \theta - \cos^2 \theta$$?

Radius of a large solid sphere is 14 cm. If is melted to form 8 equal small solid sphere. What is the sum of total surface areas of all the 8 small solid spheres? (use $$\pi = \frac{22}{7}$$)

What is the value of $$5 \sin^2 60^\circ + 7 \sin^2 45^\circ + 8 \cos^2 45^\circ$$?

A bus covered a distance of 162 km. If speed of this bus is 15 m/s, then what will be the time taken?

Triangle BAC is similar to triangle PQR. The area of triangle BAC and triangle PQR is 25 cm$$^2$$ and 36 cm$$^2$$ respectively. If BA = 4 cm, then what is the length of PQ?

The ratio of milk to water in a 100 litres mixture is 2: 3. 10 litres of this mixture is withdrawn and replaced with milk. This process is repeated 2 more times. What is the percentage of milk in final mixture?