Quiz Discussion

The least number that must be subtracted from 63522 to make the result a perfect square is = ?

• 1] 18
• 2] 20
• 3] 24
• 4] 30

If \(\left( {x - \frac{1}{x}} \right){ \text{ = }}\sqrt {21} { \text{,}} \)    then the value of \(\left( {{x^2} + \frac{1}{{{x^2}}}} \right) \left( {x + \frac{1}{x}} \right)\) is = ?

• 1] 42
• 2] 63
• 3] 115
• 4] 120
• 5] 125

(9.0 / 2 * 27 / 9 ) / (18/7.5 * 5.0 / 4) = ?

• 1]

  5.5

• 2]

  4.0

• 3]

  4.5

• 4]

  3.0

If \(\frac{{x + 1}}{{x - 1}}{ \text{ = }}\frac{a}{b}  \)    and \(\frac{{1 - y}}{{1 + y}}{ \text{ = }}\frac{b}{a}{ \text{,}} \) then the value of \(\frac{{x - y}}{{1 + xy}}\)   = ?

• 1]

  \(\frac{{2ab}}{{{a^2} - {b^2}}}\)

• 2]

  \(\frac{{{a^2} - {b^2}}}{{2ab}}\)

• 3]

  \(\frac{{{a^2} + {b^2}}}{{2ab}}\)

• 4]

  \(\frac{{{a^2} - {b^2}}}{{ab}}\)

\(\sqrt {\frac{{{{\left( {0.03} \right)}^2} + {{\left( {0.21} \right)}^2} + {{\left( {0.065} \right)}^2}}}{{{{\left( {0.003} \right)}^2} + {{\left( {0.021} \right)}^2} + {{\left( {0.0065} \right)}^2}}}}\)

• 1] 0.1
• 2] 10
• 3] 102
• 4] 103

Simplify : \(\frac{{ - \frac{1}{2} - \frac{2}{3} + \frac{4}{5} - \frac{1}{3} + \frac{1}{5} + \frac{3}{4}}}{{\frac{1}{2} + \frac{2}{3} - \frac{4}{3} + \frac{1}{3} - \frac{1}{5} - \frac{4}{5}}}\)

• 1]

  -3/10

• 2]

  -10/3

• 3]

  -2

• 4]

  1

A body of 7300 troops is formed of 4 battalions so that 1/2 of the first, 2/3 of the second, 3/4 of the third and 4/5 of the fourth are all composed of the same number of men. How many men are there in the second battalion?

• 1] 1500
• 2] 1600
• 3] 1800
• 4] 2400

Simplification of \(\frac{{{{\left( {3.4567} \right)}^2} - {{\left( {3.4533} \right)}^2}}}{{0.0034}} = ?\)

• 1] 6.91
• 2] 7
• 3] 6.81
• 4] 7.1

The lowest temperature in the night in a city is one third more than 1/2 the highest during the day. Sum of the lowest temperature and the highest temperature is 100 degrees. Then what is the lowest temperature?

• 1] 30 degrees
• 2] 40 degrees
• 3] 36 degrees
• 4] None of these

Supply the two missing figures in order indicated by x and y in the given equation, the fractions being in their lowest terms.

• 1] 3, 1
• 2] 3, 3
• 3] 4, 1
• 4] 5, 3