Quantitative Aptitude
\[
\cos^{2} 35^\circ + \cos 55^\circ \cdot \sin 35^\circ + \frac{\tan 34^\circ}{\cot 56^\circ} = \; \_\_\_\_\_
\]
If a-b= 2 and a3 - b3 = 80, then what will be the value of ab?
If \(
\frac{1}{x^{2} + a^{2}} = x^{2} - a^{2}
\) then the value of x is
The following table shows the shares traded on Mumbai, Rajasthan, Uttar Pradesh and Uttarakhand stock exchanges.
| Name of the company | Mumbai | Uttarakhand | Rajasthan | Uttar Pradesh | ||||
| High | Low | High | Low | High | Low | High | Low | |
| Aata tea | 540 | 395 | 450 | 4255 | 320 | 510 | 440 | 310 |
| Kolgate | 34 | 57 | 60 | 42 | 25 | 60 | 20 | 70 |
| Jmbuja cement | 150 | 155 | 120 | 125 | 160 | 135 | 145 | 170 |
The average of the high rates of the states to all the four stock exchanges to kolzate is
The speed of a boat in still water is \(
5\frac{1}{3}
\) km/h. It is found that the boat takes thrice as much time to row up than it does to row down the same distance in the river stream. Find the speed of the river stream.
If the ratio of area of two similar triangles is √3:√2 then what is the ratio of the corresponding sides of the two triangles?
9:4
3:2
\(
\sqrt[3]{3} : \sqrt[3]{2}
\)
\(
\sqrt[4]{3} : \sqrt[4]{2}
\)