11th Business Maths Weekly Test - 2 ( Algebra )

MABS Institution

11th Business Maths Weekly Test - 2 ( Algebra )-Aug 2020

Time : 1.30 Hours

Part - A

Generic 2 - Answer All Question

How many permutations can be made out of the letters of the word "TRIANGLE" beginning with T?

Evaluate the following expression.\(\frac { 7! }{ 6! } \)

ResoIve into partial fractions :\(\frac { 12x-17 }{ (x-2)(x-1) } \)

If nP_r = 720 ; nC_r = 120, find r

Verify that 8C₄+8C₃=9C₄

Evaluate: 8P₃

Find the co-efficient of x⁴⁰ in (1+2x+x²)²⁷

In a railway compartment, 6 seats are vacant on a bench. In how many ways can 3 passengers sit on them?

Evaluate the following using binomial theorem:(101)⁴

If four dice are rolled, find the number of possible outcomes in which atleast one die shows 2.

Part - B

Generic 5 - Answer All Question

Using binomial theorem, find the value of \({ \left( \sqrt { 2 } +1 \right) }^{ 5 }+{ \left( \sqrt { 2 } -1 \right) }^{ 5 }\)

How many code symbols can be formed using 5 out of 6 of the letters of A, B, C, D, E, F so that the letters
a) cannot be repeated
b) can be repeated
c) cannot be repeated but must begin with E
d) cannot be repeated but end with CAB.

A Cricket team of 11 players is to be formed from 16 players including 4 bowlers and 2 wicket-keepers. In how many different ways can a team be formed so that the team contains at least 3 bowlers and at least one wicket-keeper?
How many 6- digit telephone numbers can be constructed with the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 if each numbers starts with 35 and no digit appear more than once?

By the principle of mathematical induction, prove the following.
1³+2³+3³+.......+n³=\(\frac { { n }^{ 2 }(n+1)^{ 2 } }{ 4 } \) for all \(n\in N\).

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11th Business Maths Weekly Test - 2 ( Algebra )

MABS Institution

11th Business Maths Weekly Test - 2 ( Algebra )-Aug 2020

Part - A

Generic 2 - Answer All Question

How many permutations can be made out of the letters of the word "TRIANGLE" beginning with T?

Evaluate the following expression.\(\frac { 7! }{ 6! } \)

ResoIve into partial fractions :\(\frac { 12x-17 }{ (x-2)(x-1) } \)

If nPr = 720 ; nCr = 120, find r

Verify that 8C4+8C3=9C4

Evaluate: 8P3

Find the co-efficient of x40 in (1+2x+x2)27

In a railway compartment, 6 seats are vacant on a bench. In how many ways can 3 passengers sit on them?

Evaluate the following using binomial theorem:(101)4

If four dice are rolled, find the number of possible outcomes in which atleast one die shows 2.

Part - B

Generic 5 - Answer All Question

Using binomial theorem, find the value of \({ \left( \sqrt { 2 } +1 \right) }^{ 5 }+{ \left( \sqrt { 2 } -1 \right) }^{ 5 }\)

How many code symbols can be formed using 5 out of 6 of the letters of A, B, C, D, E, F so that the letters a) cannot be repeated b) can be repeated c) cannot be repeated but must begin with E d) cannot be repeated but end with CAB.

A Cricket team of 11 players is to be formed from 16 players including 4 bowlers and 2 wicket-keepers. In how many different ways can a team be formed so that the team contains at least 3 bowlers and at least one wicket-keeper?

How many 6- digit telephone numbers can be constructed with the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 if each numbers starts with 35 and no digit appear more than once?

By the principle of mathematical induction, prove the following. 13+23+33+.......+n3=\(\frac { { n }^{ 2 }(n+1)^{ 2 } }{ 4 } \) for all \(n\in N\).

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Tamilnadu Stateboardszs - Class

If nP_r = 720 ; nC_r = 120, find r

Verify that 8C₄+8C₃=9C₄

Evaluate: 8P₃

Find the co-efficient of x⁴⁰ in (1+2x+x²)²⁷

Evaluate the following using binomial theorem:(101)⁴

How many code symbols can be formed using 5 out of 6 of the letters of A, B, C, D, E, F so that the letters
a) cannot be repeated
b) can be repeated
c) cannot be repeated but must begin with E
d) cannot be repeated but end with CAB.

By the principle of mathematical induction, prove the following.
1³+2³+3³+.......+n³=\(\frac { { n }^{ 2 }(n+1)^{ 2 } }{ 4 } \) for all \(n\in N\).