SSC CGL 19th April 2022 Shift-2

X, Y and Z can complete a piece of work in 46 days, 92 days and 23 days, respectively. X started the work. Y joined him after 7 days. If Z joined them after 8 days from the beginning, then for how many days did Y work?

If $$x^{2}-5x - 1 = 0$$, what is the value of $$\frac{x^{6}-x^{4}+x^{2}-1}{x^{3}}$$

Study the given histogram and answer the question that follows.
The histogram represents the percentage of marks obtained by a number of students of a school in the class X Board Examination in 2018. The total number of students = 250 .

The number of students who have obtained less than 50% marks is approximately what percentage less than the number of students who have obtained 90% marks and above?

A car covers a distance of 90 km in 50 min What is its speed (in m/s)?

An article is sold at a profit of $$13\frac{1}{4}$$. Had it been sold for ₹76.70 more, the profit would have been $$16\frac{1}{5}\%$$. 50% of the cost price of the article (in ₹) is:

What is the simplified value of the following?
$$\frac{9\div\frac{3}{7}of\left(9+6\times \overline{4-2}\right)+\left[\frac{1}{5}\div\frac{7}{25}-\left\{\frac{5}{8}+\frac{6}{16}\right\}\right]}{24\div\overline{16-10+36\div\left(5+20\div4-1\right)}}$$

If 8A5146B is divisible by 88 then what is the value of $$A^{8}$$ ?

Find a single discount percentage equivalent to successive discounts of 10%, 20% and 25%.

If $$a^{2} + b^{2}+ 49c^{2} + 18 = 2\left(b + 28c - a\right)$$, then the value of ( 2a - b + 7 c) is:

The following pie-charts show the number of students studying in different departments of an institute during the academic years 2019 and 2020. The total number of students was 2000 and 2400, respectively, in academic years 2019 and 2020.
What is the ratio of the number of students studying science in the year 2019 to that in the year 2020?