11th Business Maths Monthly Test - 3 ( Algebra )

MABS Institution

11th Business Maths Monthly Test - 3 ( Algebra )-Aug 2020

Time : 2.00 Hours

Part - A

Generic 2 - Answer All Question

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

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

Find the number of diagonals that can be drawn by joining the angular points of octagon ?

Find the number of permutations of English vowels A, E, I, 0, U taking two at a time?

Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

If nP_r = 360, find n and r.

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

a) In how many ways can 8 identical beads be strung on a necklace?
b) In how many ways can 8 boys form a ring?

Find the rank of the word 'CHAT' in dictionary.

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

In how many ways 10 identical keys can be arranged in a ring?

Find the number of 4 letter words, with or without meaning, which can be formed out of the letters of the word “ NOTE”, where the repetition of the letters is not allowed.

From a class of 32 students, 4 students are to be chosen for competition. In how many ways can this be done?

If a polygon has 44 diagonals, find the number of its sides.

Part - B

Generic 3 - Answer All Question

Find the Co-efficient of x¹¹ in the expansion of \({ \left( x+\frac { 2 }{ { x }^{ 2 } } \right) }^{ 17 }\)

Find the term independent of x in the expansion of \({ \left( { x }^{ 2 }-\frac { 2 }{ { 3x } } \right) }^{ 9 }\)

Resolve into Partial Fractions:\(\frac { x-4 }{ { x }^{ 2 }-3x+2 } \)

How may different numbers between 100 and 1000 can be formed using the digits 0, 1,2,3,4, 5, 6 assuming that in any number, the digits are not repeated.

Resolve into partial fractions for the following:
\(\frac { { x }^{ 2 }-6x+2 }{ { x }^{ 2 }(x+2) } \)

It the letters of the word are arranged as in dictionary, find the rank of the word "AGAIN".

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

Resolve into Partial Fractions : \(\frac { 5x+7 }{ (x+1)(x+3) } \)

Find the middle terms in the expansion of \({ \left( x+\frac { 1 }{ x } \right) }^{ 11 }\)

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?

From 20 raffle tickets in a hat, four tickets are to be selected in order. The holder of the first ticket wins a car, the second a motorcycle, the third a bicycle and the fourth a skateboard. In how many different ways can these prizes be awarded?

How many 3 digits numbers can be formed if the repetition of digits is not allowed?

Expand (2x + 3y)5 using binomial theorem.

Find the term independent of x in the expansion of \({ \left( 2x-\frac { 1 }{ {2 x^2 }^{ } } \right) }^{ 9 }\)

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11th Business Maths Monthly Test - 3 ( Algebra )

MABS Institution

11th Business Maths Monthly Test - 3 ( Algebra )-Aug 2020

Part - A

Generic 2 - Answer All Question

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

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

Find the number of diagonals that can be drawn by joining the angular points of octagon ?

Find the number of permutations of English vowels A, E, I, 0, U taking two at a time?

Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

If nPr = 360, find n and r.

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

a) In how many ways can 8 identical beads be strung on a necklace? b) In how many ways can 8 boys form a ring?

Find the rank of the word 'CHAT' in dictionary.

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

In how many ways 10 identical keys can be arranged in a ring?

Find the number of 4 letter words, with or without meaning, which can be formed out of the letters of the word “ NOTE”, where the repetition of the letters is not allowed.

From a class of 32 students, 4 students are to be chosen for competition. In how many ways can this be done?

If a polygon has 44 diagonals, find the number of its sides.

Part - B

Generic 3 - Answer All Question

Find the Co-efficient of x11 in the expansion of \({ \left( x+\frac { 2 }{ { x }^{ 2 } } \right) }^{ 17 }\)

Find the term independent of x in the expansion of \({ \left( { x }^{ 2 }-\frac { 2 }{ { 3x } } \right) }^{ 9 }\)

Resolve into Partial Fractions:\(\frac { x-4 }{ { x }^{ 2 }-3x+2 } \)

How may different numbers between 100 and 1000 can be formed using the digits 0, 1,2,3,4, 5, 6 assuming that in any number, the digits are not repeated.

Resolve into partial fractions for the following: \(\frac { { x }^{ 2 }-6x+2 }{ { x }^{ 2 }(x+2) } \)

It the letters of the word are arranged as in dictionary, find the rank of the word "AGAIN".

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

Resolve into Partial Fractions : \(\frac { 5x+7 }{ (x+1)(x+3) } \)

Find the middle terms in the expansion of \({ \left( x+\frac { 1 }{ x } \right) }^{ 11 }\)

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?

From 20 raffle tickets in a hat, four tickets are to be selected in order. The holder of the first ticket wins a car, the second a motorcycle, the third a bicycle and the fourth a skateboard. In how many different ways can these prizes be awarded?

How many 3 digits numbers can be formed if the repetition of digits is not allowed?

Expand (2x + 3y)5 using binomial theorem.

Find the term independent of x in the expansion of \({ \left( 2x-\frac { 1 }{ {2 x^2 }^{ } } \right) }^{ 9 }\)

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

If nP_r = 360, find n and r.

a) In how many ways can 8 identical beads be strung on a necklace?
b) In how many ways can 8 boys form a ring?

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

Find the Co-efficient of x¹¹ in the expansion of \({ \left( x+\frac { 2 }{ { x }^{ 2 } } \right) }^{ 17 }\)

Resolve into partial fractions for the following:
\(\frac { { x }^{ 2 }-6x+2 }{ { x }^{ 2 }(x+2) } \)

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