If \( \left( 3y - \frac{3}{y} \right) = 5,\) find the value of \(
\left( y^{2} + \frac{1}{y^{2}} \right).
\)
\( \frac{47}{9} \)
\( \frac{43}{9} \)
\( \frac{41}{9} \)
\( \frac{49}{9} \)
The wages (in ₹) earned by a labourer in twelve months of a year are shown in the following bar graph.
What is the average wage (in ₹) received by the labourer in the first five months of the year (given bar chart)?
If P cos α = 3 and 4tan α = Q, then what is the relation between P and Q, which is independent of α?
\(
\frac{9}{p^{2}} + \frac{16}{q^{2}} = 1
\)
\(
\frac{9}{p^{2}} - \frac{16}{q^{2}} = 1
\)
\(
\frac{p^{2}}{9} - \frac{q^{2}}{16} = 1
\)
\(
\frac{p^{2}}{9} + \frac{q^{2}}{16} = 1
\)
Simplify the following expression:
- \( \frac{31}{232} \)
\( \frac{41}{232} \)
-\( \frac{31}{233} \)
\( \frac{31}{232} \)
General English
Select the most appropriate ANTONYM of the given word.
Innate
Select the most appropriate option to substitute the underlined segment in the given sentence.
They are the people which are looking to expand their horizons in the fast growing tourism industry.
who is looking to expand
which looked to expand
that are looked to expand
who are looking to expand