SSC MTS 2021 Question Paper Shift 1 (Oct 5th)

If x and y are two numbers having opposite signs, and $$x^{2}:y^{2}=16:81$$, then what is the value of $$\frac{3x+4y}{2x-3y}$$?

The value of $$1\frac{4}{11}\div$$ {[$$\frac{11}{80}\div\frac{3}{4}(\frac{1}{4}-\frac{1}{3}\times\frac{1}{5})\div1\frac{5}{6}$$]+$$\frac{9}{11}$$} is:

In a $$\triangle ABC, \angle BAC=90^{0},AD$$ is drawn perpendicular from A on BC. Which among the following is the mean proportional between BD and BC?

Two containers have mixtures of milk and water, Respectively, in the ratios, 3:2 and 6:5. In what ratio should the contents be mixed so that the ratio of milk to water in the final mixture is 4:3?

The are of square is S, and that of the aquare formed by joining the mid-points of the given square is A. The value of $$\frac{A}{S}$$ is equal to:

What is the median of distribution: 34, 22, 13, 11, 27, 19, 25, 16?

The speed of wind during a storm is $$10^{5}$$mm per sec. How long (in seconds) will it take a dust particle suspended in air to travel 1km?

Two friends, one of whom is thrice as the other, working together, can complete a work in 6 days. In how many days will the less efficint among the two be able to complete twice the quantum of work?

Due to some crisis, Some people from State A migrate to State B, and thereby the population of the second State increased by 19.86%. However, at a later stage, all of them returned to State A. Then by what percentage (correct up to two decimal places) did the population of state B decrease?

A retailer opens her outlet on all seven days of the week. It is observed that her average sales for Saturdays and Sundays combined is ₹300, and ₹200 for the remaining five days combined. For a month starting on a saturday, it was found that the total sales were ₹7000. Which among the following months it could be?