SSC CGL 12th Dec 2022 Shift-4

A solid metallic sphere of radius 12 cm is melted and recast into a cone having diameter of the base as 12 cm. What is the height of the cone?

The expenditure on the cost of living of a man and his family is 60% of his salary. He gets two increment of 30% and 60% in his salary. If his saving increases by 250% of his initial saving, then the new cost of living expenditure is what percentage (rounded off to the nearest integer) of the increased salary?

If the areas of two isosceles triangles are in the ratio of $$x^2 : y^2$$, then the ratio of their corresponding heights is:

If $$\cos \theta + \cos^2 \theta = 1$$, find the value of $$\sqrt{\sin^4 \theta + \cos^2 \theta}$$

If x = 222, y = 223 and z = 224, then find the value of $$x^3 + y^3 + z^3 - 3xyz$$.

Select the most appropriate option to fill in the blank.
Either he is mad, or he feigns ...............

Select the most appropriate ANTONYM of the underlined word.
Social economics is a meta-discipline in which economics is entrenched in social, political and cultural behaviors.

Select the option that can be used as a one-word substitute for the given group of words.
Having a feeling of guilt

The following sentence has been split into four segments. Identify the segment that contains a grammatical error.
The students usually asks/ for a bonus time of/ thirty minutes for I completing their projects.

Select the correct passive form of the given sentence.
He drank a lot of coffee before the marathon.