1. The decimal expansion of the rational number , will terminate after how many places of decimal? a) 1 b) 2 c)3 d) 4 2. The radius of a solid hemispherical toy is 3.5cm.Its total surface area is a) 460cm2 b)260cm2 c)360cm2 d) 560cm2 3. The HCF of smallest prime number and the smallest composite number is a) 2 b) 3 c) 4 d) 1 4. The sum of the zeroes of the quadratic polynomial 3x2—x – 4 a) − b) c)− d) 5. The radius of the largest right circular cone that can be cut out from a cube of edge 4.2cm is a) 4.2cm b) 2.1cm c) 8.1cm d) 1.05cm 6. A quadratic polynomial with 0 , √ as the sum and product of its zeroes is a)x2— √ b)x2 + √ c) x2 + 5 d)x2 - 5 7. The number of zeroes that polynomial f(x) = (x—2 )2 + 3 can have is a)1 b) 2 c)3 d) 0 8. If LCM(91,26) = 182, then the HCF of 91 and 26 is a) 26 b)13 c) 7 d)9 SECTION B ( 6 X2= 12 ) 9. Find the HCF of 658, 1128 by Euclid’s division algorithm. 10. Form a quadratic polynomial whose zeroes are 11. Two cubes each with 6cm edge are joined end to end. Find the surface area of the resulting cuboid
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Answer:
Using Formula (x+a)(x+b) = x
2
+(a+b)x+ab
Writing 33 as 30+3 and 27 as 30−3
⇒ (30+3)(30−3) = 30
2
+[3+(−3)]30+(3)(−3)
= 900+[(0)30]−9
= 891
Hence the answer is 891
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