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Seven chocolates, A, B, C, D, E, F and G, are bought at different costs between Rs. 40 and Rs. 50 (excluding both Rs. 40 and Rs. 50) but not necessarily in the same order. The cost of chocolate C is Rs. 5 less than that of chocolate E. The cost of chocolate A is a prime number. The cost of chocolate F is Rs. 2 more than that of chocolate A. The cost of chocolate F is more than that of chocolate E. The cost of chocolate D is an odd number. The cost of chocolate G is Rs. 3 more than the cost of chocolate D. None of the chocolates cost Rs. 44. The cost of chocolate B is an even number. What is the cost of chocolate E?

Seven chocolates, A, B, C, D, E, F and G, are bought at different costs between Rs. 40 and Rs. 50 (excluding both Rs. 40 and Rs. 50) but not necessarily in the same order. The cost of chocolate C is Rs. 5 less than that of chocolate E. The cost of chocolate A is a prime number. The cost of chocolate F is Rs. 2 more than that of chocolate A. The cost of chocolate F is more than that of chocolate E. The cost of chocolate D is an odd number. The cost of chocolate G is Rs. 3 more than the cost of chocolate D. None of the chocolates cost Rs. 44. The cost of chocolate B is an even number. What is the cost of chocolate E? Correct Answer Rs. 46

Seven chocolates: A, B, C, D, E, F and G.

Cost: 41, 42, 43, 45, 46, 47, 48, and 49 (none of the chocolates cost Rs. 44)

(1) The cost of chocolate C is Rs. 5 less than that of chocolate E, implies C = E - 5.

(2) The cost of chocolate A is a prime number.

(3) The cost of chocolate F is Rs. 2 more than that of chocolate A, implies F = A + 2.

Chocolates

Costs

A

 41, 43, or 47

B

  

C

 43, 42, or 41

D

  

E

 48, 47, or 46
F 43, 45, or 49
G  

 

(4) The cost of chocolate F is more than that of chocolate E, implies F > E. Therefore, the cost of F is 49 and A is 47

(5) The cost of chocolate D is an odd number.

(6) The cost of chocolate G is Rs. 3 more than the cost of chocolate D, implies G = D + 3.

(7) The cost of chocolate B is an even number. Therefore, the final arrangement is as follows:

Chocolates

Costs

A

 47

B

 42

C

 41

D

 45

E

 46
F 49
G 48

 

Hence, the cost of chocolate E is Rs. 46.

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