International Maths Olympiad Forum By SOF Olympiad Trainer - Page 102

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Subject :IMO    Class : Class 2

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Subject :IMO    Class : Class 2

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Subject :IMO    Class : Class 6

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Subject :IMO    Class : Class 6

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Subject :IMO    Class : Class 10

State 'T' for true and 'F' for false and select the CORRECT option.
I. If a quadratic polynomial f(x) is a square of a linear polynomial, then its two zeroes are coincident.
II. If a quadratic polynomial f(x) is not factorisable into linear factors, then it has no real zero.
III. If graph of quadratic polynomial ax2 + bx + c cuts positive direction of y-axis, then the sign of c is positive.
IV. If fourth degree polynomial is divided by a quadratic polynomial, then the degree of the remainder is 2.

I II III IV
A F F T T
B T T T F
C F T T F
D T T T T


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Subject :IMO    Class : Class 4

Match the following and select the correct option.

Column A Column B
P. CDV + CLX (i) DXX
Q. DLXV - XLV (ii) CCCXCVI
R. CCCXI + DCL (iii) DLXV
S. CMX - DXIV (iv) CMLXI

AP → (iii); Q → (i); R → (iv); S → (ii)
BP → (iv); Q → (ii); R → (iii); S → (i)
CP → (iii); Q → (iv); R → (i); S → (ii)
DP → (ii); Q → (i); R → (iii); S → (iv)


option s does not match

Ans 1:

Class : Class 4
A. P-(iii), Q-(i), R-(iv), S-(ii)

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Subject :IMO    Class : Class 4

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Subject :IMO    Class : Class 3

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Subject :IMO    Class : Class 8

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Subject :IMO    Class : Class 5

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