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CTET Solved Paper MCQ - CTET September 2015

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Weight is 50g for 18 sheets of paper.
Number of sheets that will weigh kg
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4x2 + 12xy - 8x + 9y2 - 12y = (ax + by)(ax + by - 4)
⇒ (2x)2 + (3y)2 + 2(2x)(3y) - 4(2x + 3y)
= (ax + by)(ax + by -4)
⇒ (2x + 3y)2 - 4(2x + 3y)
=(ax + by)(ax + by - 4)
⇒ (2x + 3y)(2x + 3y - 4)
= (ax + by)(ax + by - 4)
∴ a=2, b=3
⇒ a2 + b2 = (2) + (3) = 4 + 9 = 13
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(5x + 2 ) × (2x2 - 3x + 5)
= 10x3 - 15x2 + 25x + 4x2 - 6x + 10
= 10x3 - 11x2 + 19x + 10
Coefficient of x2 = -11
Coefficient of x = 19
Sum of coefficients of x2 and x = 19 - 11 = 8
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