Quiz Discussion

To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present ?

• 1] 10
• 2] 35
• 3] 62.5
• 4] Cannot be determined
• 5] None of these

If \(\left( {x - \frac{1}{x}} \right){ \text{ = }}\sqrt {21} { \text{,}} \)    then the value of \(\left( {{x^2} + \frac{1}{{{x^2}}}} \right) \left( {x + \frac{1}{x}} \right)\) is = ?

• 1] 42
• 2] 63
• 3] 115
• 4] 120
• 5] 125

Find the value of \(\sqrt {248 + \sqrt {52 + \sqrt {144} } } = ?\)

• 1]

  -16

• 2]

  \(\pm 16\)

• 3]

  16

• 4]

  16.2

Simplify : \(\frac{{\frac{5}{3} \times \frac{7}{{51}}{ \text{ of }}\frac{17}{5} - \frac{1}{3}}}{{\frac{2}{9} \times \frac{5}{7}{ \text{ of }}\frac{{28}}{5} - \frac{2}{3}}}{\kern 1pt} {\kern 1pt} = ?\)

• 1]

  1/3

• 2]

  1/6

• 3]

  4

• 4]

  2

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

A body of 7300 troops is formed of 4 battalions so that 1/2 of the first, 2/3 of the second, 3/4 of the third and 4/5 of the fourth are all composed of the same number of men. How many men are there in the second battalion?

• 1] 1500
• 2] 1600
• 3] 1800
• 4] 2400

The value (1001)3 is = ?

• 1] 1003003001
• 2] 100303001
• 3] 100300301
• 4] 103003001

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

• 1] 350
• 2] 785
• 3] 1220
• 4] 1320

The simplest value of \(\left( {\frac{1}{{\sqrt 9 - \sqrt 8 }} - \frac{1}{{\sqrt 8 - \sqrt 7 }} + \frac{1}{{\sqrt 7 - \sqrt 6 }} - \frac{1}{{\sqrt 6 - \sqrt 5 }}} \right)\)          is = ?

• 1]

  \(3 - \sqrt 5 \)

• 2]

  3

• 3]

  \(\sqrt 5 \)

• 4]

  \(\sqrt 5 - 3\)

If 37/13 =   where x,y,z are natural member , then find x+y+z are:-

• 1]

  6

• 2]

  7

• 3]

  8

• 4]

  9