1. The slope of the line −5y + 2x − 1 = 0 is

    $\displaystyle {{5}\over{2}}$

    $\displaystyle -{{5}\over{2}}$

    $\displaystyle -{{2}\over{5}}$

    $\displaystyle {{2}\over{5}}$

    $\displaystyle -{{7}\over{5}}$

  2. If y > 0 then $\sqrt{ 49\,y^2 + 576\,y^2} =$

    31y

    625y

    7y

    25y

    y

  3. If $\displaystyle {{x}\over{6}}-2={{9}\over{5}}$, then x = ?

    $\displaystyle x=-{{114}\over{5}}$

    $\displaystyle x={{46}\over{3}}$

    $\displaystyle x=-{{6}\over{5}}$

    $\displaystyle x={{114}\over{5}}$

    $\displaystyle x={{6}\over{5}}$

  4. If a rectangle has vertices (0, −1), (−2, −1), (0, 2), and (−2, 2), then the length of a diagonal is

    $\displaystyle \sqrt{13}$

    3

    13

    $\displaystyle \sqrt{5}$

    5

  5. If $\displaystyle x=-{{2}\over{5}}$ then $\displaystyle x+{{1}\over{x}}+11$ = ?

    $\displaystyle -{{139}\over{10}}$

    $\displaystyle -{{89}\over{10}}$

    $\displaystyle {{81}\over{10}}$

    $\displaystyle {{131}\over{10}}$

    $\displaystyle {{129}\over{10}}$

  6. $\displaystyle -{{a}\over{9\,b}}$    + ${{a}\over{10\,b}}$ = ?

    $\displaystyle {{a}\over{b}}$

    $\displaystyle -{{a}\over{90\,b}}$

    $\displaystyle -{{19\,a}\over{90\,b}}$

    $\displaystyle {{b}\over{a}}$

    $\displaystyle -{{a}\over{90\,b^2}}$


Department of Mathematics
Last modified: 2026-08-15