The words Socialist, Secular and Integrity were added in the Preamble of the Indian Constitution by which amendment?
If x + \( \frac{1}{x} \)= 8, then the value of x³ +\( \frac{1}{x^3} \) is:
The following table shows the marks of five students in five different subjects in a school examination. Each subject carries a maximum of 100 marks. Study the table and answer the question.
| Subject | Students | ||||
| Rohan | Mohan | Radha | Ali | Johan | |
| Mathematics | 70 | 88 | 70 | 90 | 95 |
| Statistics | 74 | 78 | 75 | 70 | 85 |
| Hindi | 65 | 78 | 76 | 53 | 50 |
| English | 60 | 64 | 70 | 65 | 85 |
| Social Science | 58 | 54 | 62 | 46 | 66 |
Who among them has achieved the second highest aggregated marks?
The correct relation between v, u, and f for a spherical mirror is:
\( \frac{1}{f} \)=\( \frac{1}{v} \) −\( \frac{1}{u} \)
v = u + f
\( \frac{1}{f} \) + \( \frac{1}{u} \) =\( \frac{1}{v} \)
\( \frac{1}{f} \) = \( \frac{1}{u} \) + \( \frac{1}{v} \)