26. A regular hexagon ABCDEF has sides of length 2 cm. M is the midpoint of AB. Which of the following line segments have length 131/2 cm? A M B C E D O BD O BE O EM O FM O None of these22. The number of prime values of the polynomial n3 - 10n2 - 84n + 840 where n is an integer is O 0 O O 2 O 4 O infinite29. Triangle ABC is such that its three angles LA, LB, LC are in the ratio 3:4:5. What is the ratio of its three sides BC:CA:AB ? O 31/2 : 41/2 : 51/2 O (1 + 21/2) : 61/2 : (1 + 31/2) O 2 : 61/2 : (1 + 31/2) O 3:4:5 O 61/2 : (1 + 31/2) : (21/2 + 31/2)30. A driver travels an average of k miles a day for the first d days of a journey and then m miles a day for the next b days. The car uses x litres of petrol per 100 miles. How many litres of petrol does the car use for the whole journey ? x(kd + mb)/1 00 (k + m)X/100 100(k + m)/X 100(kd + mb)/X bdkmx/ 1 00 25. Let d(x)=cos4x -sin4x. How many of the functions below are equal to d(x) for all values of x? e(x) = cos(2x) f(x) = 1 - 2sin2x g(x) = (cosx + sinx)(cosx - sinx) h(x) = (1 - sinx)(1 + tanx)(1 + sinx)(1 - tanx) O 0 O O 2 O 3 O 427. If the number n is a perfect square, what is the next perfect square above it? 0 n + "1/2 C n + 2(n)"2 + 1 O n2 + 1 O n2 + n O n2 + 2n + 1 28. What is the area of the largest equilateral triangle which fits inside a square of side a? O (3a4)1/2/4 0 [2(3)\"2 31a2 0 (3a4)1/2/2 O (3a4)1/2 0 [3(3)\"2 3]a2 21. In the diagram below, AB, EF and DC are perpendicular to BC. AEC and BED are straight lines. AB = x, EF = h and DC = y. Then h is: A D X E V B C F O xy/( x + y) O (x2 + y2)/(2x + 2y) O (x3 + 13)/4xy O (x + y)/xy O Not enough information is provided to solve the problem23. 24. A man has a square piece of paper where each side has length 1 m. Two equal circles are to be cut from this paper. What is the radius, in metres, of the largest possible circles? 1/(2 + 21/2) [4 + 2(2)1'2)/1 6 [2(2)\"2 11/7 2112/4 (1 + 2115/3 If 2x 2x -2 = 192, then what is the value of x