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 \(n\in N\).

Comment

Add Comment

InstaQB

Institutions

12th Standard English Medium

12th Standard Tamil Medium

11th Standard English Medium

11th Standard Tamil Medium

10th Standard English Medium

9th Standard English Medium

8th Standard English Medium

7th Standard English Medium

Class XII

Class XI

12Th Standard

11Th Standard

10Th Standard

9Th Standard

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 \(n\in N\).

Comment

Other Study material

11th Business Maths Monthly Test - 3 ( Differentia

11th Business Maths Monthly Test - 4 (Operations R

11th Business Maths Weekly Test - 2 ( Applications

11th Business Maths Weekly Test - 1 ( Applications

11th Business Maths Monthly Test - 4 ( Differentia

11th Business Maths Weekly Test - 4 ( Differential

11th Business Maths Weekly Test - 3 ( Differentia

11th Business Maths Weekly Test -2 ( Differential

11th Business Maths Weekly Test - 1 ( Differential

11th Business Maths Monthly Test - 4 ( Trigonometr

11th Business Maths Monthly Test - 3 ( Trigonometr

11th Business Maths Monthly Test - 2 ( Trigonometr

11th Business Maths Monthly Test - 1 ( Trigonometr

11th Business Maths Weekly Test - 4 ( Trigonometry

11th Business Maths Monthly Test - 1 ( Differentia

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 \(n\in N\).