Quiz Discussion

Supply the two missing figures in order indicated by x and y in the given equation, the fractions being in their lowest terms.

• 1] 3, 1
• 2] 3, 3
• 3] 4, 1
• 4] 5, 3

The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is:

• 1] Rs. 3500
• 2] Rs. 3750
• 3] Rs. 3840
• 4] Rs. 3900
• 5] None of these

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

• 1] 10
• 2] 12
• 3] 15
• 4] 18

Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:

• 1]

  1/7

• 2]

  1/8

• 3]

  1/9

• 4]

  7/8

• 5]

  None of these

\(\frac{{20 + 8 \times 0.5}}{{20 - ?}}{ \text{ = 12}}\)     Find the value in place of (?)

• 1] 2
• 2] 8
• 3] 18
• 4] None of these

If \(\left( {x + \frac{1}{x}} \right) = 3,\)    then \(\left( {{x^2} + \frac{1}{{{x^2}}}} \right)\)   is = ?

• 1]

  10/3

• 2]

  82/9

• 3]

  7

• 4]

  11

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 \(\left( {4{b^2} + \frac{1}{{{b^2}}}} \right){ \text{ = 2,}} \)    then \(\left( {8{b^3} + \frac{1}{{{b^3}}}} \right)\)   = ?

• 1] 0
• 2] 1
• 3] 2
• 4] 5

If \(\left( {{a^4} + \frac{1}{{{a^4}}}} \right){ \text{ = 1154,}}\)     then the value of \(\left( {{a^3} + \frac{1}{{{a^3}}}} \right)\)   is = ?

• 1] 198
• 2] 200
• 3] 216
• 4] None of these

If \(\frac{a}{b}{ \text{ + }}\frac{b}{a}{ \text{ = 2,}}\)    then the value of (a - b) is = ?

• 1] 1
• 2] 2
• 3] -1
• 4] 0