11th Business Maths Weekly Test - 3 ( Algebra)

MABS Institution

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

Time : 1.30 Hours

Part - A

Multiple Choice Question - Answer All Question

Number of words with or without meaning that can be formed using letters of the word "EQUATION" , with no repetition of letters is

The last term in the expansion of (3 +\(\sqrt{2}\) )⁸ is

81
16
8\(\sqrt{2}\)
27\(\sqrt{3}\)

The number of ways selecting 4 players out of 5 is

The value of (5C_o + 5C₁) + (5C₁ + 5C₂) + (5C₂ + 5C₃) + (5C₃ + 5C₄) + (5C₄ + 5C₅ ) is

2⁶-2
2⁵-1
2⁸
2⁷

13 guests have participated in a dinner. The number of handshakes happened in the dinner is

For all n > 0, nC₁ + nC₂ + nC₃ + ... +nC_n is equal to

2n
2ⁿ- 1
n²
n² - 1

If nC₃ = nC₂, then the value of nC₄ is

The constant term in the expansion of \({ \left( x+\frac { 2 }{ x } \right) }^{ 6 }\)

The number of permutation of n different things taken r at a time, when the repetition is allowed is

rⁿ
n^r
\(\frac { n! }{ (n-r)! } \)
\(\frac { n! }{ (n+r)! } \)

The number of 3 letter words that can be formed from the letters of the word number when the repetition is allowed are

The total number of 9 digit number which have all different digit is

10!
9!
9\(\times\)9!
10\(\times\)10!

If nP_r = 720 (nC_r), then r is equal to

The number of diagonals in a polygon of n sides is equal to

nC₂
nC₂ - 2
nC₂ - n
nC₂ - 1

The greatest positive integer which divide n(n + 1) (n + 2) (n + 3) for n \(\in\) N is

Sum of Binomial co-efficient in a particular expansion is 256, then number of terms in the expansion is

Part - B

Generic 2 - Answer All Question

How many chords can be drawn through 21 points on a circle?

Find 8C₂

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

In how many ways 8 students can be arranged in a line

If nC₄ = nC₆ , find 12C_n

There are 18 guests at a dinner party. They have to sit 9 guests on either side of a long table; three particular persons decide to sit on one side and two others on the other side. In how many ways can the guests to be seated?

Evaluate : 5P₃ and P(8, 5)

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

Expand the following by using binomial theorem.\(\left( x+\frac { 1 }{ y } \right) ^{ 7 }\)

If 15C_3r = 15C_r+3 , find r

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11th Business Maths Weekly Test - 3 ( Algebra)

MABS Institution

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

Part - A

Multiple Choice Question - Answer All Question

Number of words with or without meaning that can be formed using letters of the word "EQUATION" , with no repetition of letters is

The last term in the expansion of (3 +\(\sqrt{2}\) )8 is

The number of ways selecting 4 players out of 5 is

The value of (5Co + 5C1) + (5C1 + 5C2) + (5C2 + 5C3) + (5C3 + 5C4) + (5C4 + 5C5 ) is

13 guests have participated in a dinner. The number of handshakes happened in the dinner is

For all n > 0, nC1 + nC2 + nC3 + ... +nCn is equal to

If nC3 = nC2, then the value of nC4 is

The constant term in the expansion of \({ \left( x+\frac { 2 }{ x } \right) }^{ 6 }\)

The number of permutation of n different things taken r at a time, when the repetition is allowed is

The number of 3 letter words that can be formed from the letters of the word number when the repetition is allowed are

The total number of 9 digit number which have all different digit is

If nPr = 720 (nCr), then r is equal to

The number of diagonals in a polygon of n sides is equal to

The greatest positive integer which divide n(n + 1) (n + 2) (n + 3) for n \(\in\) N is

Sum of Binomial co-efficient in a particular expansion is 256, then number of terms in the expansion is

Part - B

Generic 2 - Answer All Question

How many chords can be drawn through 21 points on a circle?

Find 8C2

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

In how many ways 8 students can be arranged in a line

If nC4 = nC6 , find 12Cn

There are 18 guests at a dinner party. They have to sit 9 guests on either side of a long table; three particular persons decide to sit on one side and two others on the other side. In how many ways can the guests to be seated?

Evaluate : 5P3 and P(8, 5)

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

Expand the following by using binomial theorem.\(\left( x+\frac { 1 }{ y } \right) ^{ 7 }\)

If 15C3r = 15Cr+3 , find r

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The last term in the expansion of (3 +\(\sqrt{2}\) )⁸ is

The value of (5C_o + 5C₁) + (5C₁ + 5C₂) + (5C₂ + 5C₃) + (5C₃ + 5C₄) + (5C₄ + 5C₅ ) is

For all n > 0, nC₁ + nC₂ + nC₃ + ... +nC_n is equal to

If nC₃ = nC₂, then the value of nC₄ is

If nP_r = 720 (nC_r), then r is equal to

Find 8C₂

If nC₄ = nC₆ , find 12C_n

Evaluate : 5P₃ and P(8, 5)

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

If 15C_3r = 15C_r+3 , find r