Question 66

Logical Reasoning Puzzles Easy

A, B, C, D, E, F and G are seven girls having different amount of money from among Rs. 10, 20, 40, 60, 80, 120 and 200 with them. They had 3 chocolates, 2 toffees and 2 lollipops together, each one having one of these seven items. <br />B and F do not have chocolates and they have Rs. 200 and Rs. 80 respectively.  <br />C has Rs. 60 with her and G has an amount which is neither Rs. 40 nor Rs. 120.  <br />A has Rs. 10 and does not have a toffee.<br />The girl having Rs. 40 with her is the only one other than A to have the same type of item.  <br />E and the girl having Rs. 20 with her have the same kind of item. <br />n Which of the following girls have chocolates with them?

(A) F, C, G
(B) C, G, E
(C) C, G, D
(D) G, D, E
View Dynamic Solution & Explanation
Correct Solution: Option B

Step-by-step Solution:

Quick Solution

This is a matrix puzzle. We can solve it by filling in a table with the information from each clue.



1. Initial Information

  • Girls: A, B, C, D, E, F, G
  • Money: 10, 20, 40, 60, 80, 120, 200
  • Items: 3 Chocolates, 2 Toffees, 2 Lollipops


2. Step-by-Step Deductions

  1. From Clues 1, 2 & 3:
    We can directly fill in some money amounts and restrictions:
    • A has Rs. 10 (and not a Toffee).
    • B has Rs. 200 (and not a Chocolate).
    • C has Rs. 60.
    • F has Rs. 80 (and not a Chocolate).
  2. From Clue 4 ("...only one other than A to have the same type of item"):
    This means exactly two girls share an item type. The only items with a count of two are Toffees and Lollipops. Since we know A doesn't have a Toffee, A must have a Lollipop. The girl with Rs. 40 has the other Lollipop.
  3. Finding the Remaining Money:
    The amounts left are Rs. 20 and Rs. 120. Clue 2 says G doesn't have Rs. 40 or Rs. 120. Therefore, G must have Rs. 20. This means E must have Rs. 120, and by elimination, D must be the girl with Rs. 40.
  4. Placing the Final Items:
    • A and D have the two Lollipops.
    • B and F cannot have Chocolates, so they must have the two remaining Toffees.
    • This leaves only the three Chocolates for the remaining three girls: C, E, and G. This is also consistent with Clue 5 ("E and the girl with Rs. 20 [who is G] have the same kind of item").


3. Final Table

GirlMoneyItem
A10Lollipop
B200Toffee
C60Chocolate
D40Lollipop
E120Chocolate
F80Toffee
G20Chocolate


Final Answer: The girls who have chocolates with them are C, G, E.