SSC MTS 20th October 2021 Shift-3

A solid right circular cone is cut into two parts by a plane parallel to its base and at a point one-third vertically below its vertex. What is the ratio of the volume of the smaller cone to that of the whole cone?

The value of $$\frac{13}{70}\div\left[\frac{4}{5}\left(\frac{1}{3}-\frac{1}{4}\times\frac{1}{5}\right)\div2\frac{5}{6}\right]-1\frac{9}{28}$$ is:

The ratio of the number of students in Science to that in Humanities, in Grade 12 of 360 students, is 2 : 3. When some new students are admitted, the number of Science students increase by 18 and the ratio of the Science students to Humanities students changes to 3 : 5. What is the number of new Humanities students admitted?

The capacities of three containers P, Q and R are in the proportion of 5 : 4 : 8. They are completely filled with a mixture of milk and water in the proportions of 1 : 4. 2 : 3 and 3 : 5, respectively. If the mixtures of all the three containers are mixed together, then what will be the proportion of milk to water in the final mixture?

The given bar graph represents the sales of automobiles (in ₹ crores) by five companies A, B, C, D and E in the years 2007-2008 and 2008-2009.
Study the bar graph and answer the question that follows.

(Note : The data shown below is only for mathematical exercise. It does not represent the actual figures of the companies)

What is the percentage difference (correct to two places of decimals) of the combined sales of the
five companies in 2008-2009 compared to the combined sales of the five companies in 2007-2008?

The Supreme Court of India was established on:

Which city bagged the first rank as the cleanest city of India under Swachh
Survekshan League 2020?

Which of the following is NOT an instrument of the monetary policy of the Reserve
Bank of India?

Who is the chairperson of the Rajya Sabha?

Mahendragiri is the highest peak in the: