Answer: C) 48 lit Explanation: Let the amount of juice and water in original mixture '4x' litre and '3x' litre respectively. According to given data, 4x/3x+6 =8/7 28x=24x+48 28x–24x=48 4x = 48 x = 12 Amount of juice = 4x = 4×12 = 48 litre.

Answer: C) 164 Explanation: For a triangle, we need 3 non-collinear points. So with 12 points (when all the 12 are such that any three non-collinear is12C3. But among them 8 points are collinear.   If all these 8 points are different we get 8C3 triangles as they are collinear.   In 12C3 triangles, we do not get 8C3 triangles   Therefore, The number of triangles we get = 12C3-8C3 = 164

Answer: C) 75 Explanation: Here in the given series, it follows a pattern that   77 + 2 = 79   79  - 3 = 76   76 + 5 = 81   81 -  7 = 74   74 + 11 = 85   Consecutive adding and subtracting of prime numbers.   So the wrong number in the given series is 75.

Answer: B) 15.69 cm Explanation: Draw the two chords as shown in the figure. Let O be the center of the circle. Draw OC perpendicular to both chords. That divides the two chords in half.So CD = 10 and AB = 14. Draw radii OA and OD, both equal to radius r.We are given that BC = 5, the distance between the two chords. LetOB = x. We use the Pythagorean theorem on right triangle ABO AO² = AB² + OB² r² = 14² + x² We use the Pythagorean theorem on right triangle DCO DO² = CD² + OC² We see that OC = OB+BC = x+5, so r² = 10² + (x+5)² So we have a system of two equations: r² = 14² + x² r² = 10² + (x+5)² Since both left sides equal r², set the right sidesequal to each other. 14² + x² = 10² + (x+5)² 196 + x² = 100 + x² + 10x + 25 196 = 125 + 10x 71 = 10x 7.1 = x r² = 14² + x² r² = 196 + (7.1)² r² = 196 + 50.41 r² = 246.41 r = √246.41 r = 15.69745202 cm

Answer: A) Rs. 3550 Explanation: Let the cost price of the article be 'P' Then from given data, P + 28P100 = 4544=> 128P = 454400=> P = 3550 Hence, the cost price of the article = P = Rs. 3550

Answer: C) 20 Explanation: We know that  40% = 40100 = 25⇒25 x 244 x ? = 48? = 48 x 5 x 42 x 24 = 20

Answer: C) 48 Explanation: DESIGN = 6 letters   No consonants appear at either of the two ends.  = 2 x 4P4 =  2 x 4 x 3 x 2 x 1=  48

Answer: D) 17.08 cm Explanation: Let the length of the rectangle = L cm   Then the breadth of the rectangle = (L - 10) cm   Perimeter of a rectangle = 2(L + B) cm   => 44 = 2(L + L - 10)   => 44 = 4L - 20   => 4L = 64   => L = 16 cm   => B = L - 10 = 6 cm   Diagonal = L2+B2 = 162+62 = 17.08 cm