Quiz Discussion

The simplified value of

• 1] 3
• 2] 2
• 3] 6
• 4] 4

There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:

• 1] 20
• 2] 80
• 3] 100
• 4] 200
• 5] None of these

If x = a + m, y = b + m, z = c + m, then the value of $\frac{{{x^2} + {y^2} + {z^2} - yz - zx - xy}}{{{a^2} + {b^2} + {c^2} - ab - bc - ca}}$       is = ?

• 1]

  1

• 2]

  $\frac{{x + y + z}}{{a + b + c}}$

• 3]

  $\frac{{a + b + c}}{{x + y + z}}$

• 4]

  Not possible to find

$\frac{{{{\left( {3\frac{2}{3}} \right)}^2} - {{\left( {2\frac{1}{2}} \right)}^2}}}{{{{\left( {4\frac{3}{4}} \right)}^2} - {{\left( {3\frac{1}{3}} \right)}^2}}}\div\frac{{3\frac{2}{3} - 2\frac{1}{2}}}{{4\frac{3}{4} - 3\frac{1}{3}}}$   = ?

• 1]

  37/97

• 2]

  74/97

• 3]

  $1\frac{{23}}{{74}}$

• 4]

  None of these

If 12 + 22 + 32 + . . . . . + p2 = $\left[ {\frac{{{ \text{p}}\left( {{ \text{p}} + 1} \right)\left( {2{ \text{p}} + 1} \right)}}{6}} \right]{ \text{,}}$     then 12 + 32 + 52 + . . . . . + 172 is = ?

• 1] 969
• 2] 1785
• 3] 980
• 4] 1700