X paid ₹ 47 for certain cups of tea and coffee. If tea costs ₹ 5 per cup and coffee costs ₹ 8 per cup, which one of the following statements is correct ?
He drank 8 cups of tea and coffee.
He drank the same number of cups of tea and coffee.
He drank more tea than coffee.
He drank more coffee than tea.
Answer is Right!
Answer is Wrong!
This question was previously asked in
UPSC CISF-AC-EXE – 2017
We can try possible values for c:
If c=0, 5t = 47 (not possible for integer t)
If c=1, 5t = 47 – 8 = 39 (not possible for integer t)
If c=2, 5t = 47 – 16 = 31 (not possible for integer t)
If c=3, 5t = 47 – 24 = 23 (not possible for integer t)
If c=4, 5t = 47 – 32 = 15 => t = 3. This is a valid integer solution (t=3, c=4).
If c=5, 5t = 47 – 40 = 7 (not possible for integer t)
If c=6, 5t = 47 – 48 = -1 (not possible for non-negative t)
The only valid solution is t=3 cups of tea and c=4 cups of coffee.
Based on this solution:
A) Total cups = 3 + 4 = 7, not 8. (Incorrect)
B) Number of tea cups (3) is not the same as coffee cups (4). (Incorrect)
C) He drank 3 cups of tea and 4 cups of coffee. 3 is not more than 4. (Incorrect)
D) He drank 4 cups of coffee and 3 cups of tea. 4 is more than 3. (Correct)