Quiz Discussion

While solving a mathematical problem, Samidha squared a number and then subtracted 25 from it rather than the required i.e., first subtracting 25 from the number and then squaring it. But she got the right answer. What was the given number ?

• 1] 13
• 2] 38
• 3] 48
• 4] Cannot be determined
• 5] None of these

\(\left( {\frac{{2 + \sqrt 3 }}{{2 - \sqrt 3 }} + \frac{{2 - \sqrt 3 }}{{2 + \sqrt 3 }} + \frac{{\sqrt 3 - 1}}{{\sqrt 3 + 1}}} \right) \)     simplifies to = ?

• 1]

  \(16 - \sqrt 3 \)

• 2]

  \(4 - \sqrt 3 \)

• 3]

  \(2 - \sqrt 3 \)

• 4]

  \(2 + \sqrt 3 \)

\(99 \times 21 - \root 3 \of ? = 1968\)

• 1] 1367631
• 2] 111
• 3] 1366731
• 4] 1367

If a = 0.1039, then the value of \(\sqrt {4{a^2} - 4a + 1} + 3a\)     is:

• 1] 0.1039
• 2] 0.2078
• 3] 1.1039
• 4] 2.1039

The number of digits in the square root of 625685746009 is = ?

• 1] 4
• 2] 5
• 3] 6
• 4] 7

What is the least number to be added to 7700 to make it a perfect square ?

• 1] 77
• 2] 98
• 3] 131
• 4] 221
• 5] None of these

The smallest natural number which is a perfect square and which ends in 3 identical digits lies between ?

• 1] 1000 and 2000
• 2] 2000 and 3000
• 3] 3000 and 4000
• 4] 4000 and 5000

Given \(\sqrt 2 = 1.414.\)   Then the value of \(\sqrt 8\)  + \(2\sqrt {32} \)  -  \(3\sqrt {128}\)  + \(4\sqrt {50}\)   is = ?

• 1] 8.426
• 2] 8.484
• 3] 8.526
• 4] 8.876

If \(x = \frac{{\sqrt 3 + 1}}{{\sqrt 3 - 1}}   \)  \(y = \frac{{\sqrt 3 - 1}}{{\sqrt 3 + 1}}\)and then the value of \(\left( {{x^2} + {y^2}} \right)\)   is?

• 1] 10
• 2] 13
• 3] 14
• 4] 15

Which number should replace both the question marks in the following equation ?/1776=111/?

• 1] 343
• 2] 414
• 3] 644
• 4] 543
• 5] None of these