SSC CGL 20th April 2022 Shift-3

A ladder of length 3.5 m just reaches the top of a wall. If the ladder makes an angle of $$60^{\circ}$$ with the wall, then what is the height of the wall (in m)?

The following bar graph shows the number of youth (in lakhs) and the number of employed youth (in lakhs) in five states A, B, C, D and E. what is the average number of youth in the five states?

The value of $$\left(\frac{1-\cot \theta}{1-\tan \theta}\right)^{2}$$ + 1, if $$0^{\circ} < \theta < 90^{\circ}$$ , is equal to:

The given bar graph shows the income and expenditure (in crores ₹) of a company over 5 years, from 2014 to 2018.
Study the bar graph and answer the question that follows.

What is the difference (in crores ₹) between the expenditure for the years 2017 and 2018 taken together and the income for the years 2015 and 2016 taken together?

Performance of 1800 students in grades has been shown in the following pie chart.
How many more students have obtained grade B than those who have obtained grade C?

The number of cars passing the road near a colony from 6 am to 12 noon has been shown in the following histogram.
During which hour(s) is the number of cars passed less than the average number of cars passed from 7 am to 12 noon?

If $$\left(4a-3b\right)= 1, ab=\frac{1}{2}$$, where a > 0 and b > 0, what is the value of $$\left(64a^{3}+27b^{3}\right)$$?

A is 25% more than B, and B is 40% less than C. If C is 20% more than D, then A is what percentage less than D?

Three partners shared the profit in a business in the proportion of 9 : 8 : 11 . They invested their capitals for 4 months, 6 months and 18 months, respectively. What was the ratio of their capitals?

An article is sold at a certain price. If it is sold at 70% of this price, then there is a loss of 10%. What is the percentage profit, when it is sold at the original selling price?