Quiz Discussion

\(\frac{{{{\left( {a - b} \right)}^2} - {{\left( {a + b} \right)}^2}}}{{ - 4a}}{ \text{ = }}\frac{x}{y}\)     On simplifying the given equations, which of the following equations will be obtained ?

• 1] xy = b
• 2] bx = y
• 3] ab = x
• 4] yb = x
• 5] ay = x

Simplify : \({ \text{8}}\frac{1}{2} - \left[ {3\frac{1}{4} + \left\{ {1\frac{1}{4} - \frac{1}{2}\left( {1\frac{1}{2} - \frac{1}{3} - \frac{1}{6}} \right)} \right\}} \right]\)

• 1]

  \(4\frac{1}{2}\)

• 2]

  \(4\frac{1}{6}\)

• 3]

  \(9\frac{1}{2}\)

• 4]

  \(\frac{2}{9}\)

\(\frac{3}{7}{ \text{of }} 455 + \frac{5}{8}{ \text{of}}456 = ?\)

• 1] 448
• 2] 464
• 3] 476
• 4] 480
• 5] None of these

1 - [5 - {2 + (- 5 + 6 - 2) 2}] is equal to:

• 1] -4
• 2] 2
• 3] 0
• 4] 2

5 - [4 - {3 - (3 - 3 - 6)}] is equal to:

• 1] 10
• 2] 6
• 3] 4
• 4] 0

\(\left( {\frac{{785 \times 785 \times 785 + 435 \times 435 \times 435}}{{785 \times 785 + 435 \times 435 - 785 \times 435}}} \right)\)       simplifies to = ?

• 1] 350
• 2] 785
• 3] 1220
• 4] 1320

(4 / 5) × ? × (3 / 7) = (16 / 105)

• 1]

  8/9

• 2]

  5/7

• 3]

  4/9

• 4]

  3/7

\({ \text{If }}x = \frac{1}{{2 + \frac{1}{2}}}{ \text{ then }}\frac{1}{x} = ?\)

• 1]

  2/5

• 2]

  5/2

• 3]

  3/5

• 4]

  1/2

(36.14)^2 – (21.28)^2 =?

• 1]

  850

• 2]

  860

• 3]

  865

• 4]

  853

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

• 1] ± 2
• 2] 1, 2
• 3] 2, 3
• 4] ± 1