A works 5.4 times as fast as B, and A takes 22 days less than B to complete the job when each works alone. Calculate the number of days taken to complete the same job if A and B work together.
\(
4\left(\frac{1}{4}\right)
\)
\(
4\left(\frac{3}{16}\right)
\)
\(
4\left(\frac{7}{32}\right)
\)
\(
4\left(\frac{5}{32}\right)
\)
Two pipes S1 and S2 alone can fill an empty tank in 15 hours and 20 hours respectively. Pipe S3 alone can empty that completely filled tank in 40 hours. Firstly both pipes S1 and S2 are opened and after 2 hours pipe S3 is also opened. In how much time tank will be completely filled after S3 is opened?
\( \frac{90}{17} \) hours
\( \frac{89}{12} \) hours
\( \frac{90}{13} \) hours
\( \frac{92}{11} \) hours
What is the value of \(\left( \frac{1}{a} - \frac{1}{b} - \frac{1}{c} \right)\) if , \(\frac{2a - 5}{a} - \frac{4b - 5}{b} + \frac{6c + 5}{c} = 0\)
\(
\frac{4}{5}
\)
\(
-\frac{8}{5}
\)
\(
\frac{2}{5}
\)
\(
-\frac{12}{5}
\)
The following bar diagram shows the number of students who opted for different subjects in the year 2020 and 2021.
Out of all 5 subjects, what percentage (rounded up to two decimals) of students opted for Biology in 2021?
AB = 28 cm and CD = 22 cm are two parallel chords on the same side of the centre of a circle. The distance between them is 4 cm. The radius of the circle is ___________________ (Consider up to two decimals)
If \(x - \frac{1}{x} = 2\sqrt{2}\), what is the value of \(\left( x^6 + \frac{1}{x^6} \right)\)
To earn a 12% profit, a shopkeeper sells a television fo, Rs.22,400. What should be the selling price (in ₹) of the television if he wants a double profit?