# ROHRA’S ACADEMY ALGEBRA-2

May 28th, 2015
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1) In some code, letters a, b, c, d and e represents numbers 2, 4,5, 6 and 10. We don’t know which letter represents which number. Consider the following relationships: (i) a + c = e (ii) b – d = d and (iii) e = a = b

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ROHRAS ACADEMY ALGEBRA-2 LEVEL 1Find the remainder when equation(A) is divided by (B):-A B1) x2 + 9x + 18 x + 62) x2 - 14x + 45 x - 93) x2 + 10x + 28 x + 44) x2 - 16x + 40 x - 25) x2 + 15x + 54x + 3Find the roots of the following cubic equations:-1) x3 6x2 + 11x 6 = 02) x3 3x2 + 3x 1 = 03) x3 2x2 + x = 04) x3 2x2 - x 4 = 05) x3 + 6x2 + 11x + 6 = 0 LEVEL 2 1) In some code, letters a, b, c, d and e represents numbers 2, 4,5, 6 and 10. We dont know which letter represents which number. Considerthe following relationships:(i) a + c = e (ii) b d = d and (iii) e = a = bWhich statement below is true?(a) b = 4, d = 2 (b) a = 4, e = 6(c) b = 6, e = 2 (d) a = 4, c = 6 2) What is the minimum value of x for which the expressionx3 7x2 + 11x 5 gives positive values?(a) 5 (b) 8(c) 4 (d) None of these3) Let b be a positive integer and a = b2 b. If b 4, then a2 2ais divisible by:(a) 15 (b) 20(c) 24 (d) None of these4) If u, v, w and m are natural numbers such that um + vm = wm, then one of the following is t

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