SSC CGL 16th August 2021 Shift-3
For the following questions answer them individually
The average height of some studentsin a groupis 156 cm.If 5 students of average height 160 cm join the group. then the averageheight ofall the students in the group increases by 0.8 cm. Whatis the numberof students in the group, initially?
In $$\triangle ABC, DE \parallel AB$$, where D and E are the points on sides AC and BC, respectively. If AD = x-3, AC = 2x, BE = x-2 and BC = 2x + 3, then what is the value of x?
The data given in the table shows the number of boys and girls enrolled in three different streams in a school over 5 years.
By what percent is the total number of boys in Arts stream more than the total number of boys in Science stream in the years 2012 to 2020?
A certain sum amounts to ₹291600 in 2 years and to ₹314928 in 3 years on compound interest compounded annually. How much will be the simple interest (in ₹) on ₹40000 at the same rate for 2 years?
The following Bar Graph represents the Production of Fertilizers by Company A and Company B (in 10000 tonne) Over the Years from 2005 to 2010. The X-axis represents the years, and the Y-axis
represents the Production of Fertilizers (in 10000 tonne).
(Note: The data shown below is only for mathematical exercise. They do not represent the actual figures of the companies)
What is the average production (in 10000 tonne) of fertilizers in 2008, 2009 and 2010 of Company A?
If $$\sin \left(\frac{2A + B}{2}\right) = \cos \left(\frac{2A - B}{2}\right) = \frac{\sqrt{3}}{2}, 0^\circ < \frac{2A + B}{2} < 90^\circ$$ and $$0^\circ < \frac{2A + B}{2} < 90^\circ$$ then find the value of $$\sin[3(A - B)]$$.
The given bar graph shows the imports and exports (in crore 2) of steel for 5 years from 2014 to 2018.
What is the ratio of average export to average import over the five years?
In a factory, there are 39 workers who have been categorised into five groups (A, B, C, D, E) on the basis of the range of their daily wages (in multiples of ₹100), It is ensured that the daily wage of no worker is an exact multiple of ₹100. The distribution is presented through the given histogram.
If two Managers are engaged to supervise the workers, with daily wages ranging between ₹700 and ₹800, then what will be the average daily wage (nearest to a ₹) of all members of staff of the factory?
A shopkeeper allows 16% discount on every item. Even after giving the discount, he makes a profit of 8%. If he gives 8% discount instead of 16% on an item marked for ₹1800, then what will be his profit percent? (correct to 2 decimal places)
If $$x + y = 2$$ and $$\frac{1}{x} + \frac{1}{y} = \frac{18}{5}$$, then the value of $$(x^3 + y^3)$$ is:
