Quiz Discussion

If \(a = \frac{{\sqrt 5 + 1}}{{\sqrt 5 - 1}}   \) and \(b = \frac{{\sqrt 5 - 1}}{{\sqrt 5 + 1}},\)   the value of \(\left( {\frac{{{a^2} + ab + {b^2}}}{{{a^2} - ab + {b^2}}}} \right)\)   is ?

 

Course Name: Quantitative Aptitude

  • 1]

    3/4

  • 2]

    4/3

  • 3]

    3/5

  • 4]

    5/3

Solution
No Solution Present Yet

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# Quiz
1
Discuss

R is a positive number. It is multiplied by 8 and then squared. The square is now divided by 4 and the square root is taken. The result of the square root is Q. What is the value of Q ?

  • 1] 3R
  • 2] 4R
  • 3] 7R
  • 4] 9R
Solution
2
Discuss

How many two-digit numbers satisfy this property. : The last digit (unit's digit) of the square of the two-digit number is 8 ?

  • 1] 1
  • 2] 2
  • 3] 3
  • 4] None of these
Solution
3
Discuss

If \(\sqrt 5 = 2.236, \)   then the value of \(\frac{{\sqrt 5 }}{2} - \frac{{10}}{{\sqrt 5 }} + \sqrt {125} \)   is equal to :

 

  • 1] 5.59
  • 2] 7.826
  • 3] 8.944
  • 4] 10.062
Solution
4
Discuss

\(1728 \div \root 3 \of {262144} \times ? - 288\)      = 4491

 

  • 1] 148
  • 2] 156
  • 3] 173
  • 4] 177
Solution
5
Discuss

The value of \(\sqrt {0.000441} \)  is = ?

 

  • 1] 0.00021
  • 2] 0.0021
  • 3] 0.021
  • 4] 0.21
Solution
6
Discuss

Find the cube root of 2744.

  • 1]

    14

  • 2]

    13

  • 3]

    12

  • 4]

    11

Solution
7
Discuss

Given \(\sqrt 5 = 2.2361,   \sqrt 3 = 1.7321{ \text{,}}   then \frac{1}{{\sqrt 5 - \sqrt 3 }}\)   is equal to ?

 

  • 1] 1.98
  • 2] 1.984
  • 3] 1.9841
  • 4] 2
Solution
8
Discuss

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

 

  • 1]

    \(16 - \sqrt 3 \)

  • 2]

    \(4 - \sqrt 3 \)

  • 3]

    \(2 - \sqrt 3 \)

  • 4]

    \(2 + \sqrt 3 \)

Solution
9
Discuss

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
Solution
10
Discuss

One-fourth of the sum of prime numbers, greater than 4 but less than 16, is the square of = ?

  • 1] 3
  • 2] 4
  • 3] 5
  • 4] 7
Solution
# Quiz