SSC MTS 2021 Question Paper Shift 2 (Oct 12th)
For the following questions answer them individually
What is the average of sixty terms given below?
$$\cos^{2}x$$, $$\cos^{2}2x \cos^{2}3x$$,... $$\cos^{2}30x$$, $$\sin^{2}x$$, $$\sin^{2}2x$$, $$\sin^{2}3x$$,... $$ \sin^{2}30x$$
A wooden piece in the shape of a cuboid is divided into five equal parts by cutting it with four cuts perpendicular to its length,and it turns out that each picece is a cube of volume 27 $$cm^{3}$$. That is the total surface area (in $$cm^{2}$$) of the cuboid?
The number of teachers and students in five school A, B, C, D and E in a city has been depicted through the given bar graph, where the number of students has been prensented as multiples of ten. Study the bar graph and answer the question that follows.
What is the proportion of the student to teacher ratios across the five school A, B, C, D, E?
The difference between a positive number and its reciprocal increases by a foctor of $$\frac{175}{144}$$ when the number is made to increase by 20%. What is the number?
The simple interest earned on a sum is$$\frac{1}{25}$$ of the sum, where the number of years of investment is equal to the rate percentage. For how many years was the sum invested?
Four person P, Q, R, S were engaged for doing a task, with the condition that P; Q; R; S work respectively,on (Mondays, Thursdays); (Tuesdays, Fridays); (Wednesdays, Saturdays); (Sundays). The task was began on a Monday,and got completed on the $$15^{th}$$ day, which was also a Monday.If the efficiencies of P, Q, R, S in respect of doing this task were in the proportion 1 : 2 : 3 : 4,then in how many days could R completed the task,working alone without break?
How many numbers between 500 and 900, both inclusive,are exactly divisible by all the numbers, 12, 15, 20 and 30?
If 24 men can do a work in 15 days by working 12 hours daily,then in how many days will 36 men be able to do double the quantum of work,by working 10 hours daily?
The material of a sphere of radius r is melted and recast into a hollow cylindrical sell of thickness a and outer radius b. What is its length asssuming that no material is lost in recasting?
A lady walks to her office every day from home and maintains a fixed time for the same. On one day she decreases her speed by 20%. By what fraction of her usual time will she be late on that day?
