Quiz Discussion

\(\frac{1}{{\left( {\sqrt 9 - \sqrt 8 } \right)}} -   \frac{1}{{\left( {\sqrt 8 - \sqrt 7 } \right)}} +   \frac{1}{{\left( {\sqrt 7 - \sqrt 6 } \right)}} -   \frac{1}{{\left( {\sqrt 6 - \sqrt 5 } \right)}} +   \frac{1}{{\left( {\sqrt 5 - \sqrt 4 } \right)}}\)   is equal to ?

• 1]

  0

• 2]

  1/3

• 3]

  1

• 4]

  5

The least number of 4 digits which is a perfect square is = ?

• 1] 1000
• 2] 1016
• 3] 1024
• 4] 1036

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

One-fourth of a herd of camels was seen in the forest. Twice the square root of the herd had gone to mountains and the remaining 15 camels were seen on the bank of a river. Find the total number of camels ?

• 1] 32
• 2] 34
• 3] 35
• 4] 36

If 1537* is a perfect square, then the digit which replace * is = ?

• 1] 2
• 2] 4
• 3] 5
• 4] 6

If the product of four consecutive natural numbers increased by a natural number p, is a perfect square, then the value of p is = ?

• 1] 1
• 2] 2
• 3] 4
• 4] 8

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

The greatest four digit perfect square number is = ?

• 1] 9000
• 2] 9801
• 3] 9900
• 4] 9981

By what least number must 21600 be multiplied so as to make it perfect cube ?

• 1] 6
• 2] 10
• 3] 20
• 4] 30

If √x+x/y  = x√x/y  where x and y are positive real numbers, then y is equal to ?

• 1]

  x + 1

• 2]

  x - 1

• 3]

  x² + 1

• 4]

  x² - 1