Quantitative Aptitude
If the altitude from two vertices of a triangle to the opposite sides are equal, then the triangle will be:
isosceles triangle
equilateral triangle
scalene triangle
obtuse angle triangle
A secant PAB is drawn from an external point P to the circle with the centre at O, intersecting it at A and B. If OP = 17 cm, PA = 12 cm and PB = 22.5 cm, then the radius of the circle is:
\(\sqrt{23}\) cm
\(\sqrt{21}\) cm
\(\sqrt{17}\) cm
\(\sqrt{19}\) cm
An article costs ₹1,000 for a salesman. He fixes its marked price as ₹1,500. He sells it to a customer at a discount of 20%. He gives a further discount of 10% for each cash payment. Find the percentage of loss or gain that the salesman makes on sale.
Simplify:
626 X 2912 ÷ 8138
The greatest value of sin4θ + cos4θ is ?
The given table shows the expenditure of a company (in lakh rupees) per annum over the years.
| Year | Salary | Fuel and transport | Bonus | Interest on loan | Taxes |
| 2005 | 212 | 78 | 4.00 | 24.6 | 88 |
| 2006 | 225 | 98 | 4.25 | 29.7 | 110 |
| 2007 | 236 | 105 | 4.75 | 36.8 | 125 |
| 2008 | 247 | 125 | 5.55 | 42.3 | 103 |
| 2009 | 295 | 145 | 6.25 | 49.6 | 118 |
| 2010 | 325 | 155 | 6.85 | 58.4 | 135 |
The total expenditure on all these categories in 2006 is what percentage (rounded off to 2 places of decimal) of the total expenditure in 2009?
Simplify \(\dfrac{4x^2 - 49y^2}{2x + 7y} + 7y - 2x\)