Question : In an exam, the sum of the scores of A and B is 120, that of B and C is 130, and that of C and A is 140. Then the score of C is:
Option 1: 65
Option 2: 75
Option 3: 70
Option 4: 60
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Correct Answer: 75
Solution :
Given: A + B = 120 --------------(1)
B + C = 130 -------------(2)
C + A = 140 -------------(3)
By adding (1), (2), and (3) we get:
⇒ 2(A + B + C) = 390
⇒ (A + B + C) = 195 -------------(4)
Subtracting equation(1) from equation(4), we get,
$\therefore$ C = 195 – 120 = 75
Hence, the correct answer is 75.
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