QuizSagar
4 years ago Like 232906
Questions 823
Contests 7
Find the generating function for sequences 0,4,4,4,..
- 4x/(1-x)
- 4x/(1+x)
- 4/(1-x)
- 4/(1+x)
- option1
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We know 1/(1-x)=1+x+x^2+x^3x+...
4x/(1-x)= 4x+4x^2+4x^3+...
Therefore sequence generated by 4x/(1-x) is 0,4,4..
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Find the generating function for sequences 4,-4,4,-4
- 1/(1+x)
- 1/(1-x)
- 4/(1+x)
- 4/(1-x)
- option4
Clear All
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The number of positive numbers which divides either 600 or 900 are.
- 24
- 30
- 48
- 66
- option2
Clear All
No. of Integer divided 600=24
No. of Integer divided 900=24
& No. of Integer divided 600 & 900 =18
No. of Integer divided 600 or 900= 24+24-18=30
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The number of positive numbers which divides either 60 or 90 are.
- 16
- 24
- 30
- 40
- option1
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No. of Integer divided 60=12
No. of Integer divided 90=12
& No. of Integer divided 60 & 90 =8
No. of Integer divided 60 or 90= 12+12-8=16
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A group (M.*) is said to be abelian if
- Z*(x*y)=(Z*x)*y
- (x+y)=x
- (x*y)=(y*x)
- (y*x)=(x+y)
- option3
Clear All
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A group (M.*) is said to be semi-group if
- Z*(x*y)=(Z*x)*y
- (x+y)=x
- (x*y)=(y*x)
- (y*x)=(x+y)
- option1
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Let G be set of all positive regional number and * be the binary operation on G defined by a*b=a+b and (G, *) is an abelian group. Which is the following is not true.
- e=0
- (a ^ - 1) = - a
- (-1/3 ^ - 1) = 1/3
- -1/3 ^ - 1) = 3
- option4
Clear All
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XYZ travels from Agra to Delhi in 5 different ways. But he is allowed to return to Agra by any way except the one he used earlier. In how many ways can he complete his journey?
- 60
- 5^5
- 20
- 25
- option3
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From Agra to Delhi there are 5 ways.
But He allowed to return to Agra By any way except the one is used earlier = (5-1) = 4
Total way = 5*4= 20
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XYZ travels from Agra to Delhi in 5 different ways. He allowed to return back to Agra in any ways. In how many ways can he complete his journey?
- 60
- 5^5
- 20
- 25
- option4
Clear All
From Agra to Delhi there are 5 ways.
But He allowed to return to Agra By any way = 5
Total way = 5*5= 25
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In how many different ways can the letters of the word 'Women' be arranged in such a way that the vowels always come together?
- 4!
- 4! * 2!
- 5! * 2!
- 3! * 2!
- option2
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There are 5 letter in 'Women' in which 3 is consonant and 2 vowel.
Total way to arrange consonant: 3!
Total way to arrange vowel: 2!
Total way to arrange consonant and vowel: (3+1)!. because we consider all vowel as a group so that all vowel come together
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