11th Business Maths Weekly Test - 4 ( Algebra )

MABS Institution

11th Business Maths Weekly Test - 4 ( Algebra )-Aug 2020

Time : 1.30 Hours

Part - A

Generic 3 - Answer All Question

How many five digits telephone numbers can be constructed using the digits 0 to 9 if each number starts with 67 with no digit appears more than once?

If (n + 2)! = 60 (n - 1)! find n.

Resolve into partial factors:\(\frac { x+4 }{ ({ x }^{ 2 }-4)(x+1) } \)

Decompose into Partial Fractions:\(\frac { 5{ x }^{ 2 }-8x+5 }{ (x-2)({ x }^{ 2 }-x+1) } \)

Resolve into partial fractions for the following:
\(\frac { 2x^{ 2 }-5x-7 }{ (x-2)^3 } \)

Let p(n) be the statement "n²+ n is even". If P(k) is true, then show that P(k+1) is true.

Let there be 3 red, 2 yellow and 2 green signal flags. How many different signals are possible if we wish to make signals by arranging all of them vertically on a staff?

Resolve into partial fractions for the following:
\(\frac { 1 }{ (x-1)(x+2)^{ 2 } } \)

Resolve into partial fractions for the following:
\(\frac { 4x+1 }{ (x-2)(x+1) } \)

Find the value of tan \(\left( {{\pi}\over{8}} \right).\)

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11th Business Maths Weekly Test - 4 ( Algebra )

MABS Institution

11th Business Maths Weekly Test - 4 ( Algebra )-Aug 2020

Part - A

Generic 3 - Answer All Question

How many five digits telephone numbers can be constructed using the digits 0 to 9 if each number starts with 67 with no digit appears more than once?

If (n + 2)! = 60 (n - 1)! find n.

Resolve into partial factors:\(\frac { x+4 }{ ({ x }^{ 2 }-4)(x+1) } \)

Decompose into Partial Fractions:\(\frac { 5{ x }^{ 2 }-8x+5 }{ (x-2)({ x }^{ 2 }-x+1) } \)

Resolve into partial fractions for the following: \(\frac { 2x^{ 2 }-5x-7 }{ (x-2)^3 } \)

Let p(n) be the statement "n2 + n is even". If P(k) is true, then show that P(k+1) is true.

Let there be 3 red, 2 yellow and 2 green signal flags. How many different signals are possible if we wish to make signals by arranging all of them vertically on a staff?

Resolve into partial fractions for the following: \(\frac { 1 }{ (x-1)(x+2)^{ 2 } } \)

Resolve into partial fractions for the following: \(\frac { 4x+1 }{ (x-2)(x+1) } \)

Find the value of tan \(\left( {{\pi}\over{8}} \right).\)

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Other Study material

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11th Business Maths Monthly Test - 3 ( Differentia

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11th Business Maths Weekly Test - 2 ( Applications

Tamilnadu Stateboardszs - Class

Resolve into partial fractions for the following:
\(\frac { 2x^{ 2 }-5x-7 }{ (x-2)^3 } \)

Let p(n) be the statement "n²+ n is even". If P(k) is true, then show that P(k+1) is true.

Resolve into partial fractions for the following:
\(\frac { 1 }{ (x-1)(x+2)^{ 2 } } \)

Resolve into partial fractions for the following:
\(\frac { 4x+1 }{ (x-2)(x+1) } \)