TCS Company Numerical Ability Ratio and Proportion

From each of the two given numbers, half of the smaller number is subtracted. Of the resulting numbers, the largest is three times the smaller one. What is the ratio of the two numbers?

a. 5:4
b. 5:2
c. 3:2
d. 2:1
(E) 7:4

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TCS Other Question

If a+b : b+c : c+a = 6:7:8 and a+b+c = 14, then the value of c is

a. 6
b. 7
c. 8
d. 14
e. None of These
remainder of 6^17+17^6 when divided by 7