CAT 2003 Slot 2 — QA Question 25
Answer the following question based on the information given below.
Consider three circular parks of equal size with centres at A1, A2 and A3 respectively. The parks touch each other at the edge as shown in the figure (not drawn to scale). There are three paths formed by the triangles A1A2A3, B1B2B3 and C1C2C3, as shown. Three sprinters A, B, and C begin running from points A1, B1 and C1 respectively. Each sprinter traverses her respective triangular path clockwise and returns to her starting point.
Using only 2, 5, 10, 25 and 50 paise coins, what will be the minimum number of coins required to pay exactly 78 paise, 69 paise and Rs 1.01 to three different persons?
Answer & solution
19
- B
20
- C
17
- D
18
Case1: To pay 78 paise using minimum number of coins:
78 = 1(50) + 2(10) + 4(2), i.e. a total of 7 coins were used
Case 2: To pay 69 paise using minimum number of coins:
69 = 1(50) + 1(10) + 1(5) + 2(2), i.e. a total of 5 coins were used
Case 3: To pay 101 paise using minimum number of coins:
101 = 1(50) + 1(25) + 2(10) + 3(2), i.e. a total of 7 coins were used
∴ Minimum coins used were 7 + 5 + 7 = 19 coins
Hence, option (a).