Quiz Discussion

\({ \text{If }}\left( {{n^r} - tn + \frac{1}{4}} \right)\)     be a perfect square, then the values of t are = ?

• 1] ± 2
• 2] 1, 2
• 3] 2, 3
• 4] ± 1

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

• 1]

  \(1\frac{{11}}{{17}}\)

• 2]

  \(1\frac{{5}}{{7}}\)

• 3]

  \(1\frac{{6}}{{17}}\)

• 4]

  \(1\frac{{21}}{{17}}\)

The simplification of \(\left( {\frac{{75983 \times 75983 - 45983 \times 45983}}{{30000}}} \right)\)yields the result = ?

• 1] 121796
• 2] 121866
• 3] 121956
• 4] 121966

(4/9) × 1701 + (2/11) × 1386 = ?

• 1]

  180

• 2]

  1080

• 3]

  1008

• 4]

  1800

(4 / 5) × ? × (3 / 7) = (16 / 105)

• 1]

  8/9

• 2]

  5/7

• 3]

  4/9

• 4]

  3/7

Direction: In the question given below the given mathematical symbols are changed from '+' to '÷', '-' to '×', '÷' to '-' and from '×' to '+', then choose your answers from the following options.

• 1] -13
• 2] -3
• 3] 4
• 4] 7

The value of \(\frac{{{x^2} - {{\left( {y - z} \right)}^2}}}{{{{\left( {x + z} \right)}^2} - {y^2}}}{ \text{ + }}\frac{{{y^2} - {{\left( {x - z} \right)}^2}}}{{{{\left( {x + y} \right)}^2} - {z^2}}} +\frac{{{z^2} - {{\left( {x - y} \right)}^2}}}{{{{\left( {y + z} \right)}^2} - {x^2}}}\)   is = ?

• 1] -1
• 2] 0
• 3] 1
• 4] None of these

The value of x in the equation  = 5     is?

• 1] 21
• 2] 27
• 3] 35
• 4] 42

\(\frac{1}{{1 + {2^{a - b}}}} + \frac{1}{{1 + {2^{b - a}}}}\)     is equal to = ?

• 1] a - b
• 2] b - a
• 3] 1
• 4] 0

(36.14)^2 – (21.28)^2 =?

• 1]

  850

• 2]

  860

• 3]

  865

• 4]

  853