Quiz Discussion

If \(x = \sqrt 3 { \text{ + }}\sqrt 2 { \text{,}}   \) then the value of \({x^3} - \frac{1}{{{x^3}}}\)  is?

• 1]

  \(10\sqrt 2 \)

• 2]

  \(14\sqrt 2\)

• 3]

  \(22\sqrt 2\)

• 4]

  \(8\sqrt 2\)

If \(\root 3 \of {{3^n}} { \text{ = 27,}}\)  then the value of n is = ?

• 1] 9
• 2] 6
• 3] 1
• 4] 3

If a - b = 3 and a2 + b2 = 29, find the value of ab = ?

• 1] 10
• 2] 12
• 3] 15
• 4] 18

Assume that \(\sqrt {13} \) = 3.605(approximately) and \(\sqrt {130}\)  = 11.40(approximately) Find the value of: \(\sqrt {1.3}\) + \(\sqrt {1300}\)  + \(\sqrt {0.013}\)

• 1] 36.164
• 2] 36.304
• 3] 37.304
• 4] 37.164

A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?

• 1] 45
• 2] 60
• 3] 75
• 4] 90
• 5] None of these

What number must be added to the expression 16a2 - 12a to make a perfect square ?

• 1]

  9/4

• 2]

  11/2

• 3]

  13/2

• 4]

  16

On simplification the value of \({ \text{1}} - \frac{1}{{1 + \sqrt 2 }}{ \text{ + }}  \frac{1}{{1 - \sqrt 2 }}\)  is = ?

• 1]

  \(2\sqrt 2 - 1\)

• 2]

  \(1 - 2\sqrt 2 \)

• 3]

  \(1 - \sqrt 2 \)

• 4]

  \( - 2\sqrt 2 \)

(98764 + 89881 + 99763 + 66342) ÷ (1186 + ? + 1040 + 1870) = 55

• 1] 2254
• 2] 2354
• 3] 2368
• 4] 2404
• 5] None of these

Find the value of * in the following. \({ \text{1}}\frac{2}{3} \div \frac{2}{7} \times \frac{*}{7} = 1\frac{1}{4} \times \frac{2}{3} \div \frac{1}{6}\)

• 1]

  0.006

• 2]

  1/6

• 3]

  0.6

• 4]

  6

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