Simplification MCQ

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• Solve : 128.43 + 30.21 + ? = 173
  ক

  35.66

  খ

  29.66

  গ

  43.66

  ঘ

  24.66

  ঙ

  14.36
• If x + y = 2a, then the value of$$\frac{a}{{x - a}} + \frac{a}{{y - a}}\,{\text{is = ?}}$$
  ক

  2

  খ

  0

  গ

  -1

  ঘ

  1
• 1559.95 - 7.99 × 24.96 - ?² = 1154
  ক

  14

  খ

  24

  গ

  32

  ঘ

  18

  ঙ

  8
• Evaluate : $$\frac{{\left( {923 - 347} \right)}}{?} = 32$$
  ক

  35

  খ

  20

  গ

  18

  ঘ

  15

  ঙ

  40
• 200 ÷ 25 × 4 + 12 - 3 = ?
  ক

  35

  খ

  40

  গ

  30

  ঘ

  41

  ঙ

  50
• If $$\frac{{x + 1}}{{x - 1}}{\text{ = }}\frac{a}{b}$$    and $$\frac{{1 - y}}{{1 + y}}{\text{ = }}\frac{b}{a}{\text{,}}$$    then the value of $$\frac{{x - y}}{{1 + xy}}$$   = ?
  ক

  $$\frac{{2ab}}{{{a^2} - {b^2}}}$$

  খ

  $$\frac{{{a^2} - {b^2}}}{{2ab}}$$

  গ

  $$\frac{{{a^2} + {b^2}}}{{2ab}}$$

  ঘ

  $$\frac{{{a^2} - {b^2}}}{{ab}}$$
• 24.96² ÷ (34.11 ÷ 20.05) + 67.96 - 89.11 = ?
  ক

  884

  খ

  346

  গ

  252

  ঘ

  424

  ঙ

  366
• If $$\frac{a}{b}{\text{ + }}\frac{b}{a}{\text{ = 2,}}$$    then the value of (a - b) is = ?
  ক

  1

  খ

  2

  গ

  -1

  ঘ

  0
• $$\frac{{20 + 8 \times 0.5}}{{20 - ?}}{\text{ = 12}}$$     Find the value in place of (?)
  ক

  2

  খ

  8

  গ

  18

  ঘ

  None of these
• If $$\left( {4{b^2} + \frac{1}{{{b^2}}}} \right){\text{ = 2,}}$$     then $$\left( {8{b^3} + \frac{1}{{{b^3}}}} \right)$$   = ?
  ক

  0

  খ

  1

  গ

  2

  ঘ

  5
• If $$\left( {x + \frac{1}{x}} \right){\text{ = }}\sqrt {13} {\text{,}}$$     then the value of $$\left( {{x^3} - \frac{1}{{{x^3}}}} \right)$$   is = ?
  ক

  26

  খ

  27

  গ

  30

  ঘ

  36
• If $$\left( {{a^4} + \frac{1}{{{a^4}}}} \right){\text{ = 1154,}}$$     then the value of $$\left( {{a^3} + \frac{1}{{{a^3}}}} \right)$$   is = ?
  ক

  198

  খ

  200

  গ

  216

  ঘ

  None of these
• On simplification the value of $${\text{1}} - $$ $$\frac{1}{{1 + \sqrt 2 }}{\text{ + }}$$  $$\frac{1}{{1 - \sqrt 2 }}$$  is = ?
  ক

  $$2\sqrt 2 - 1$$

  খ

  $$1 - 2\sqrt 2 $$

  গ

  $$1 - \sqrt 2 $$

  ঘ

  $$ - 2\sqrt 2 $$
• 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 = ?
  ক

  42

  খ

  63

  গ

  115

  ঘ

  120

  ঙ

  125
• If $$\left( {a + \frac{1}{a}} \right) = 6,$$    then $$\left( {{a^4} + \frac{1}{{{a^4}}}} \right)$$   = ?
  ক

  1154

  খ

  1158

  গ

  1160

  ঘ

  1164
• 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 = ?
  ক

  $$3 - \sqrt 5 $$

  খ

  3

  গ

  $$\sqrt 5 $$

  ঘ

  $$\sqrt 5 - 3$$
• If $$\left( {x + \frac{1}{x}} \right){\text{ = 2,}}$$    then $$\left( {x - \frac{1}{x}} \right)$$   is equal to = ?
  ক

  0

  খ

  1

  গ

  2

  ঘ

  5
• $$\left( {x + \frac{1}{x}} \right)$$ $$\left( {x - \frac{1}{x}} \right)$$ $$\left( {{x^2} + \frac{1}{{{x^2}}} - 1} \right)$$  $$\left( {{x^2} + \frac{1}{{{x^2}}} + 1} \right)$$   is equal to ?
  ক

  $${x^6} - \frac{1}{{{x^6}}}$$

  খ

  $${x^8} - \frac{1}{{{x^8}}}$$

  গ

  $${x^6} + \frac{1}{{{x^6}}}$$

  ঘ

  $${x^8} + \frac{1}{{{x^8}}}$$
• The expression $$\frac{1}{{x - 1}} - $$  $$\frac{1}{{x + 1}} - $$  $$\frac{2}{{{x^2} + 1}} - $$  $$\frac{4}{{{x^4} + 1}}$$  is equal to = ?
  ক

  $$\frac{8}{{{x^8} + 1}}$$

  খ

  $$\frac{8}{{{x^8} - 1}}$$

  গ

  $$\frac{8}{{{x^7} - 1}}$$

  ঘ

  $$\frac{8}{{{x^7} + 1}}$$
• The Value of ($$\sqrt {6} $$ + $$\sqrt {10} $$ - $$\sqrt {21} $$ - $$\sqrt {35} $$) × ($$\sqrt {6} $$ - $$\sqrt {10} $$ + $$\sqrt {21}$$ - $$\sqrt {35} $$) = ?
  ক

  27

  খ

  18

  গ

  40

  ঘ

  10
• The value (1001)³ is = ?
  ক

  1003003001

  খ

  100303001

  গ

  100300301

  ঘ

  103003001
• If $$x = \sqrt 3 {\text{ + }}\sqrt 2 {\text{,}}$$   then the value of $${x^3} - \frac{1}{{{x^3}}}$$   is?
  ক

  $$10\sqrt 2 $$

  খ

  $$14\sqrt 2 $$

  গ

  $$22\sqrt 2 $$

  ঘ

  $$8\sqrt 2 $$
• If $$\frac{p}{a} + \frac{q}{b} + \frac{r}{c} = 1$$     and $$\frac{a}{p} + \frac{b}{q} + \frac{c}{r} = 0$$     where a, b, c, p, q, r are non-zero real numbers, then $$\frac{{{p^2}}}{{{a^2}}} + \frac{{{q^2}}}{{{b^2}}} + \frac{{{r^2}}}{{{c^2}}}$$    is equal to = ?
  ক

  0

  খ

  1

  গ

  3

  ঘ

  9
• The value of $$\frac{{{x^2} - {{\left( {y - z} \right)}^2}}}{{{{\left( {x + z} \right)}^2} - {y^2}}}{\text{ + }}$$   $$\frac{{{y^2} - {{\left( {x - z} \right)}^2}}}{{{{\left( {x + y} \right)}^2} - {z^2}}} + $$   $$\frac{{{z^2} - {{\left( {x - y} \right)}^2}}}{{{{\left( {y + z} \right)}^2} - {x^2}}}$$   is = ?
  ক

  -1

  খ

  0

  গ

  1

  ঘ

  None of these
• The value of $$\frac{{{{\left( {x - y} \right)}^3} + {{\left( {y - z} \right)}^3} + {{\left( {z - x} \right)}^3}}}{{{{\left( {{x^2} - {y^2}} \right)}^3} + {{\left( {{y^2} - {z^2}} \right)}^3} + {{\left( {{z^2} - {x^2}} \right)}^3}}}$$       is = ?
  ক

  0

  খ

  1

  গ

  $${\left^{ - 1}}$$

  ঘ

  $${\left^{ - 1}}$$    
• A teacher wants to arrange his students in an equal number of rows and columns. If there are 1369 students, the number of students in the last row are ?
  ক

  37

  খ

  33

  গ

  63

  ঘ

  47
• What number must be added to the expression 16a² - 12a to make a perfect square ?
  ক

  $$\frac{9}{4}$$

  খ

  $$\frac{{11}}{2}$$

  গ

  $$\frac{{13}}{2}$$

  ঘ

  16
• The greatest 4 digit number which is a perfect square, is = ?
  ক

  9999

  খ

  9909

  গ

  9801

  ঘ

  9081
• $$\frac{{38 \times 38 \times 38 + 34 \times 34 \times 34 + 28 \times 28 \times 28 - 38 \times 34 \times 84}}{{38 \times 38 + 34 \times 34 + 28 \times 28 - 38 \times 34 - 34 \times 28 - 38 \times 28}}$$            is equal to = ?
  ক

  24

  খ

  32

  গ

  44

  ঘ

  100
• $$\left( {\frac{{785 \times 785 \times 785 + 435 \times 435 \times 435}}{{785 \times 785 + 435 \times 435 - 785 \times 435}}} \right)$$       simplifies to = ?
  ক

  350

  খ

  785

  গ

  1220

  ঘ

  1320