SSC CGL 6th Dec 2022 Shift-1

The mean proportional of a and b is c. What is the mean proportional of $$a^{2}c$$ and $$b^{2}c$$?

Find the area of the sector of a circle with radius 4cm and angle $$30^{\circ}$$.

$$\frac{\cos 20^{\circ}}{\sin 70^{\circ}} + \frac{\cos \theta}{\sin (90^{\circ} - \theta}$$

A boat racer can row $$21\frac{3}{2}$$ km/h in still water. If the speed of river is 12.5km/hr, it takes him 40 minutes to row to a place and back, how far off is the place (consider up to two decimals)?

The number of mobiles sim - card owners in 4 states/UT are given in the bar diagram. Study the diagram and answer the question.

The average of sim-card sold in the four States/UT in lakhs is:

A solid hemisphere has radius 21 cm. It is melted to form a cylinder such that the ratio of its curved surface area to total surface area is 2 : 5. What is the radius (in cm) of its base(take $$\pi = \frac{22}{7}$$)?

A, B and C can do a piece of work in 11 days, 20 days and 55 days respectively. If B works daily and is supported by A and C on alternate days beginning with A, then in how many days will the work be finished?

A number n when divided by 6, leaves a remainder 3. What will be the remainder when ($$n^{2} +5n+ 8$$) is divided by 6?

What will be the value of $$\sin 10\theta - 4/3 \sin^{3} 10 \theta$$?

Successive discounts of 18% and 22% are equal to a single discount of ______.