1. 7 cannibals of XYZ island, decide to throw a party. As you may be aware, cannibals are guys who eat human beings. The senior among them – Father Cannibal decides that any 6 of them will eat up one cannibal, then out of the remaining six – five of them will eat up one cannibal and so on till one is left. What is the time until one cannibal is left, if it takes one cannibal 3 hours to eat up one cannibal independently?
• 7 hrs 11 min
• 6 hrs 12 min
• 7 hrs 21 min
• 18 hrs 16 min
2. Three articles are purchased for Rs. 1050, each with a different cost. The first article was sold at a loss of 20%, the second at 1/3rd gain and the third at 60% gain. Later he found that their SPs were same. What was his net gain/loss?
• 14.28% gain
• 13% loss
• 12% loss
• 11.11% gain
3. In the figure below, line DE is parallel to line AB. If CD = 3 and AD = 6, which of the following must be true?
• I and II only
• I and III only
• II and III only
• I, II and III
4. In a game of tennis, A gives B 21 points and gives C 25 points. B gives C 10 points. How many points make the game?
• 50
• 45
• 35
• 30
5. What is the value of a if x3 + 3x2 + ax + b leaves the same remainder when divided by (x – 2) and (x + 1)?
• 18
• 3
• -6
• Cannot be determined
6. What is the range of values of k if (1 + 2k)x2 – 10x + k – 2 = 0 has real roots?
• –3 ≤ k ≤ 4.5
• –1.5 ≤ k ≤ 9
• k ≥ 4.5, k ≤ –3
• k ≥ 3, k ≤ –9
7. A square, S1, circumscribes the circum circle of an equilateral triangle of side 10 cm. A square, S2, is inscribed in the in circle of the triangle. What is the ratio of the area of S1 to the area of S2?
• 4:1
• 32:1
• 8:1
• 2:1
8. The sum of the first n terms of an AP is Sn = 4n2 – 2n. Three terms of this series, T2, Tm and T32 are consecutive terms in GP. Find m
• 7
• 10
• 16
• 5
9. Three casks of equal capacities contain three liquids A, B & C in the ratio 1 : 2 : 3, 3 : 4 : 5 & 5 : 6 : 7 respectively. The mixtures from these casks are taken in the ratio 1 : 2 : 3 and poured into a 4th cask with the same capacity as that of the three casks and the cask is completely filled. What is the ratio of the liquids A, B and C in the resulting mixture?
• 25:36:47
• 16:21:26
• 3:4:5
• 1:2:3
10. A trader sells two bullocks for Rs. 8,400 each, neither losing nor gaining in total. If he sold one of the bullocks at a gain of 20%, the other is sold at a loss of
• 20 %
• 18%
• 14%
• 21 %
• None of these