10 Must Know Problems CDS 2 2017 Exam: Topic Algebra Polynomials

In this article we are sharing 10 Must Know Problems CDS 2 2017 Exam: Topic Algebra Polynomials. 10 Must Know Problems CDS 2 2017 Exam:...

In this article we are sharingย 10 Must Know Problems CDS 2 2017 Exam: Topic Algebra Polynomials.

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10 Must Know Problems CDS 2 2017 Exam: Topic Algebra Polynomials

10 Must Know Problems CDS 2 2017

1.ย If the expressionย ร‚ยซmath xmlns=ร‚ยจhttp://www.w3.org/1998/Math/MathMLร‚ยจร‚ยปร‚ยซmsupร‚ยปร‚ยซmiร‚ยปxร‚ยซ/miร‚ยปร‚ยซmnร‚ยป3ร‚ยซ/mnร‚ยปร‚ยซ/msupร‚ยปร‚ยซmoร‚ยป+ร‚ยซ/moร‚ยปร‚ยซmnร‚ยป3ร‚ยซ/mnร‚ยปร‚ยซmsupร‚ยปร‚ยซmiร‚ยปxร‚ยซ/miร‚ยปร‚ยซmnร‚ยป2ร‚ยซ/mnร‚ยปร‚ยซ/msupร‚ยปร‚ยซmoร‚ยป+ร‚ยซ/moร‚ยปร‚ยซmnร‚ยป4ร‚ยซ/mnร‚ยปร‚ยซmiร‚ยปxร‚ยซ/miร‚ยปร‚ยซmoร‚ยป+ร‚ยซ/moร‚ยปร‚ยซmiร‚ยปpร‚ยซ/miร‚ยปร‚ยซ/mathร‚ยปย contains (x+6) as a factor, the value of P is
a.ย 132
b.ย 141
c.ย 144
d.ย 151
Answer.ย c
2.ย The H.C.F ofย ย ร‚ยซmath xmlns=ร‚ยจhttp://www.w3.org/1998/Math/MathMLร‚ยจร‚ยปร‚ยซmoร‚ยป(ร‚ยซ/moร‚ยปร‚ยซmsupร‚ยปร‚ยซmiร‚ยปxร‚ยซ/miร‚ยปร‚ยซmnร‚ยป4ร‚ยซ/mnร‚ยปร‚ยซ/msupร‚ยปร‚ยซmoร‚ยป-ร‚ยซ/moร‚ยปร‚ยซmsupร‚ยปร‚ยซmiร‚ยปyร‚ยซ/miร‚ยปร‚ยซmnร‚ยป4ร‚ยซ/mnร‚ยปร‚ยซ/msupร‚ยปร‚ยซmoร‚ยป)ร‚ยซ/moร‚ยปร‚ยซ/mathร‚ยปย andย ร‚ยซmath xmlns=ร‚ยจhttp://www.w3.org/1998/Math/MathMLร‚ยจร‚ยปร‚ยซmoร‚ยป(ร‚ยซ/moร‚ยปร‚ยซmsupร‚ยปร‚ยซmiร‚ยปxร‚ยซ/miร‚ยปร‚ยซmnร‚ยป6ร‚ยซ/mnร‚ยปร‚ยซ/msupร‚ยปร‚ยซmoร‚ยป-ร‚ยซ/moร‚ยปร‚ยซmsupร‚ยปร‚ยซmiร‚ยปyร‚ยซ/miร‚ยปร‚ยซmnร‚ยป6ร‚ยซ/mnร‚ยปร‚ยซ/msupร‚ยปร‚ยซmoร‚ยป)ร‚ยซ/moร‚ยปร‚ยซ/mathร‚ยปย is
a.ย NurWfhfoB0AAAAAElFTkSuQmCC
b.ย 7S2MNBEAAAAASUVORK5CYII=
c.ย jbP7A4PArFNd1pzWAAAAAElFTkSuQmCC
d.ย i0daR3+PSvaasDavWfuLs7WUZeQmepnnQAAAAASUVORK5CYII=
Answer.ย a
3.ย The LCM ofย ย ร‚ยซmath xmlns=ร‚ยจhttp://www.w3.org/1998/Math/MathMLร‚ยจร‚ยปร‚ยซmoร‚ยป(ร‚ยซ/moร‚ยปร‚ยซmsupร‚ยปร‚ยซmiร‚ยปxร‚ยซ/miร‚ยปร‚ยซmnร‚ยป3ร‚ยซ/mnร‚ยปร‚ยซ/msupร‚ยปร‚ยซmoร‚ยป-ร‚ยซ/moร‚ยปร‚ยซmsupร‚ยปร‚ยซmiร‚ยปxร‚ยซ/miร‚ยปร‚ยซmnร‚ยป2ร‚ยซ/mnร‚ยปร‚ยซ/msupร‚ยปร‚ยซmoร‚ยป-ร‚ยซ/moร‚ยปร‚ยซmnร‚ยป2ร‚ยซ/mnร‚ยปร‚ยซmiร‚ยปxร‚ยซ/miร‚ยปร‚ยซmoร‚ยป)ร‚ยซ/moร‚ยปร‚ยซ/mathร‚ยปย andย ร‚ยซmath xmlns=ร‚ยจhttp://www.w3.org/1998/Math/MathMLร‚ยจร‚ยปร‚ยซmoร‚ยป(ร‚ยซ/moร‚ยปร‚ยซmsupร‚ยปร‚ยซmiร‚ยปxร‚ยซ/miร‚ยปร‚ยซmnร‚ยป3ร‚ยซ/mnร‚ยปร‚ยซ/msupร‚ยปร‚ยซmoร‚ยป+ร‚ยซ/moร‚ยปร‚ยซmsupร‚ยปร‚ยซmiร‚ยปxร‚ยซ/miร‚ยปร‚ยซmnร‚ยป2ร‚ยซ/mnร‚ยปร‚ยซ/msupร‚ยปร‚ยซmoร‚ยป)ร‚ยซ/moร‚ยปร‚ยซ/mathร‚ยปย is
a.ย BSc+t15FOiKAAAAAAElFTkSuQmCC
b.ย TnJme0riE1udAAAAAElFTkSuQmCC
c.ย BrAAAAAElFTkSuQmCC
d.ย wAAAABJRU5ErkJggg==
Answer.ย c
4.ย ร‚ยซmath xmlns=ร‚ยจhttp://www.w3.org/1998/Math/MathMLร‚ยจร‚ยปร‚ยซmoร‚ยป(ร‚ยซ/moร‚ยปร‚ยซmiร‚ยปaร‚ยซ/miร‚ยปร‚ยซmoร‚ยป+ร‚ยซ/moร‚ยปร‚ยซmnร‚ยป1ร‚ยซ/mnร‚ยปร‚ยซmsupร‚ยปร‚ยซmoร‚ยป)ร‚ยซ/moร‚ยปร‚ยซmnร‚ยป4ร‚ยซ/mnร‚ยปร‚ยซ/msupร‚ยปร‚ยซmoร‚ยป-ร‚ยซ/moร‚ยปร‚ยซmsupร‚ยปร‚ยซmiร‚ยปaร‚ยซ/miร‚ยปร‚ยซmnร‚ยป4ร‚ยซ/mnร‚ยปร‚ยซ/msupร‚ยปร‚ยซ/mathร‚ยปย is divisible by
a.ย 
b.ย Rnj6OLzqwPlL0ZopmCmwZgpmCtDgWQusb8HVj8qsJIq1AAAAAElFTkSuQmCC
c.ย 
d.ย 
Answer.ย d
5.ย The factors(s) of 5px – 10qy + 2rpx = 4qry is/are
a.ย only (5+2r)
b.ย only (px-2qy)
c.ย Both (5+2r) and (px-2qy)
d.ย Neither (5+2r) and (px-2qy)
Answer.ย c
6.ย One of the factors of the polynomialย ร‚ยซmath xmlns=ร‚ยจhttp://www.w3.org/1998/Math/MathMLร‚ยจร‚ยปร‚ยซmsupร‚ยปร‚ยซmiร‚ยปxร‚ยซ/miร‚ยปร‚ยซmnร‚ยป4ร‚ยซ/mnร‚ยปร‚ยซ/msupร‚ยปร‚ยซmoร‚ยป+ร‚ยซ/moร‚ยปร‚ยซmnร‚ยป7ร‚ยซ/mnร‚ยปร‚ยซmsupร‚ยปร‚ยซmiร‚ยปxร‚ยซ/miร‚ยปร‚ยซmnร‚ยป3ร‚ยซ/mnร‚ยปร‚ยซ/msupร‚ยปร‚ยซmoร‚ยป+ร‚ยซ/moร‚ยปร‚ยซmnร‚ยป5ร‚ยซ/mnร‚ยปร‚ยซmsupร‚ยปร‚ยซmiร‚ยปxร‚ยซ/miร‚ยปร‚ยซmnร‚ยป2ร‚ยซ/mnร‚ยปร‚ยซ/msupร‚ยปร‚ยซmoร‚ยป-ร‚ยซ/moร‚ยปร‚ยซmnร‚ยป6ร‚ยซ/mnร‚ยปร‚ยซmiร‚ยปxร‚ยซ/miร‚ยปร‚ยซmoร‚ยป+ร‚ยซ/moร‚ยปร‚ยซmnร‚ยป81ร‚ยซ/mnร‚ยปร‚ยซmoร‚ยป=ร‚ยซ/moร‚ยปร‚ยซmnร‚ยป0ร‚ยซ/mnร‚ยปร‚ยซ/mathร‚ยปย is
a.ย x+2
b.ย x-2
c.ย x+3
d.ย x-3
Answer.ย d
7.ย Which is the HCF of the polynomialsย ร‚ยซmath xmlns=ร‚ยจhttp://www.w3.org/1998/Math/MathMLร‚ยจร‚ยปร‚ยซmsupร‚ยปร‚ยซmiร‚ยปxร‚ยซ/miร‚ยปร‚ยซmnร‚ยป3ร‚ยซ/mnร‚ยปร‚ยซ/msupร‚ยปร‚ยซmoร‚ยป+ร‚ยซ/moร‚ยปร‚ยซmnร‚ยป8ร‚ยซ/mnร‚ยปร‚ยซmoร‚ยป,ร‚ยซ/moร‚ยปร‚ยซmoร‚ยปร‚ยงnbsp;ร‚ยซ/moร‚ยปร‚ยซmsupร‚ยปร‚ยซmiร‚ยปxร‚ยซ/miร‚ยปร‚ยซmnร‚ยป2ร‚ยซ/mnร‚ยปร‚ยซ/msupร‚ยปร‚ยซmoร‚ยป+ร‚ยซ/moร‚ยปร‚ยซmnร‚ยป5ร‚ยซ/mnร‚ยปร‚ยซmiร‚ยปxร‚ยซ/miร‚ยปร‚ยซmoร‚ยป+ร‚ยซ/moร‚ยปร‚ยซmnร‚ยป6ร‚ยซ/mnร‚ยปร‚ยซmoร‚ยปร‚ยงnbsp;ร‚ยซ/moร‚ยปร‚ยซmiร‚ยปaร‚ยซ/miร‚ยปร‚ยซmiร‚ยปnร‚ยซ/miร‚ยปร‚ยซmiร‚ยปdร‚ยซ/miร‚ยปร‚ยซmoร‚ยปร‚ยงnbsp;ร‚ยซ/moร‚ยปร‚ยซmsupร‚ยปร‚ยซmiร‚ยปxร‚ยซ/miร‚ยปร‚ยซmnร‚ยป3ร‚ยซ/mnร‚ยปร‚ยซ/msupร‚ยปร‚ยซmoร‚ยป+ร‚ยซ/moร‚ยปร‚ยซmnร‚ยป2ร‚ยซ/mnร‚ยปร‚ยซmsupร‚ยปร‚ยซmiร‚ยปxร‚ยซ/miร‚ยปร‚ยซmnร‚ยป2ร‚ยซ/mnร‚ยปร‚ยซ/msupร‚ยปร‚ยซmoร‚ยป+ร‚ยซ/moร‚ยปร‚ยซmnร‚ยป4ร‚ยซ/mnร‚ยปร‚ยซmiร‚ยปxร‚ยซ/miร‚ยปร‚ยซmoร‚ยป+ร‚ยซ/moร‚ยปร‚ยซmnร‚ยป8ร‚ยซ/mnร‚ยปร‚ยซmoร‚ยป?ร‚ยซ/moร‚ยปร‚ยซ/mathร‚ยป
a.ย G7ge1wAAAAASUVORK5CYII=
b.ย 
c.ย 
d.ย ATRB6Y2ZfXA1IGpTRnYVO4vFpqGbwyZHpcAAAAASUVORK5CYII=
Answer.ย a
8.ย If two factors ofย ร‚ยซmath xmlns=ร‚ยจhttp://www.w3.org/1998/Math/MathMLร‚ยจร‚ยปร‚ยซmsupร‚ยปร‚ยซmtextร‚ยปaร‚ยซ/mtextร‚ยปร‚ยซmtextร‚ยป4ร‚ยซ/mtextร‚ยปร‚ยซ/msupร‚ยปร‚ยซmsupร‚ยปร‚ยซmtextร‚ยป-2aร‚ยซ/mtextร‚ยปร‚ยซmtextร‚ยป3ร‚ยซ/mtextร‚ยปร‚ยซ/msupร‚ยปร‚ยซmsupร‚ยปร‚ยซmtextร‚ยป-9aร‚ยซ/mtextร‚ยปร‚ยซmtextร‚ยป2ร‚ยซ/mtextร‚ยปร‚ยซ/msupร‚ยปร‚ยซmtextร‚ยป+2a+8ร‚ยซ/mtextร‚ยปร‚ยซ/mathร‚ยปย are (a+1) and (a-1), then what are the other two factors?
a.ย (a-2) and (a+4)
b.ย (a+2) and (a+4)
c.ย (a+2) and (a-4)
d.ย (a-2) and (a-4)
Answer.ย b
9.ย If (x – 6) is the HCF ofย ย ร‚ยซmath xmlns=ร‚ยจhttp://www.w3.org/1998/Math/MathMLร‚ยจร‚ยปร‚ยซmsupร‚ยปร‚ยซmtextร‚ยปxร‚ยซ/mtextร‚ยปร‚ยซmnร‚ยป2ร‚ยซ/mnร‚ยปร‚ยซ/msupร‚ยปร‚ยซmtextร‚ยป-2x-24ร‚ยซ/mtextร‚ยปร‚ยซmoร‚ยปร‚ยงnbsp;ร‚ยซ/moร‚ยปร‚ยซmoร‚ยปร‚ยงamp;ร‚ยซ/moร‚ยปร‚ยซmoร‚ยปร‚ยงnbsp;ร‚ยซ/moร‚ยปร‚ยซmsupร‚ยปร‚ยซmtextร‚ยปxร‚ยซ/mtextร‚ยปร‚ยซmnร‚ยป2ร‚ยซ/mnร‚ยปร‚ยซ/msupร‚ยปร‚ยซmtextร‚ยป-kx-6ร‚ยซ/mtextร‚ยปร‚ยซ/mathร‚ยป, then what is the value of k?
a.ย 3
b.ย 5
c.ย 6
d.ย 8
Answer.ย b
10.ย If the expressionย ร‚ยซmath xmlns=ร‚ยจhttp://www.w3.org/1998/Math/MathMLร‚ยจร‚ยปร‚ยซmsupร‚ยปร‚ยซmtextร‚ยปxร‚ยซ/mtextร‚ยปร‚ยซmnร‚ยป3ร‚ยซ/mnร‚ยปร‚ยซ/msupร‚ยปร‚ยซmsupร‚ยปร‚ยซmtextร‚ยป+4xร‚ยซ/mtextร‚ยปร‚ยซmnร‚ยป2ร‚ยซ/mnร‚ยปร‚ยซ/msupร‚ยปร‚ยซmtextร‚ยป+4x+kร‚ยซ/mtextร‚ยปร‚ยซ/mathร‚ยปย has (x+4) as a factor, then what is the value of k?
a.ย -16
b.ย 16
c.ย 32
d.ย -32
Answer.ย b
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