SSC CHSL 6th August 2021 Shift-2
For the following questions answer them individually
The base of a triangle is equal to the perimeter of a square whose diagonalis $$7\sqrt{2}$$ cm and its height is equal to the side of a square whoseareais 169 cm$$^2$$. The area (in cm$$^2$$) of the triangle is:
A can do a piece of work in 12 days. He worked for 6 days andleft, and then B finished it in 10 days. If both work together, then in how many dayswill they finish the same work?
The 12% interest earned on a sum of money of ₹2,60,000 is to be used for awarding 24 scholarships of equal value every year in a school. Whatis the value (in 2) of each scholarship?
Two numbers are less than a third number by 37% and 30%, respectively. By what percentage is the second number more than the first?
Ifa person sells a ceiling fan for ₹557.75, then he gets a 15% profit. To get a 20% profit, at what amount should he sell the fan?
If $$\left(x^2 + \frac{1}{49 x^2}\right) = 15\frac{5}{7}$$, then what is the value of $$\left(x + \frac{1}{7x}\right)?$$
If $$\sin \theta + \cosec \theta = 7$$, then what is the value of $$\sin^3 \theta + \cosec^3 \theta$$?
If a + b + c = 2 and ab + bc + ca = -1, then the value of $$a^3 + b^3 + c^3 - 3 abc$$ is:
By selling a pen for ₹26, a man loses one-fourteenth of what it costs him. The cost price of the pen is:
Study the line graph and answer the question that follows.
The line graph represents the number of vehicles (in thousands) manufactured by two automobile companies A and B over the years from 2010 to 2015. The X-axis represents the years and the Y-axis represents number of vehicles in thousands.
(The data shown here is only for mathematical exercise. They do not represent the actual figures of the country.)
Company B is projecting an increase in the number of vehicles to be manufactured in 2016 by 70% with respect to its average number of vehicles from 2010 to 2015. What should be the approximate percentage increase in the number of vehicles (in thousands) to be manufactured by Company A in 2016 with respect to the number of vehicles in 2015, so that it is at par with Company B?
