If P : Q = 10 :11 and Q : R = 11 : 12, then P + Q : Q + R : R + P is:
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SSC CHSL 26th May 2022 Shift-1
21 : 23 : 22
Correct Answer22 : 21 : 23
Incorrect Answer11 : 12 : 10
Incorrect Answer23 : 22 : 21
Incorrect AnswerExplanation:
- We are given P : Q = 10 : 11, so P/Q = 10/11. Assume P = 10x and Q = 11x.
- Also, Q : R = 11 : 12, so Q/R = 11/12. Assume Q = 11y and R = 12y.
- Match the common term Q: from 11x = 11y, we get x = y.
- So, P = 10y, Q = 11y, R = 12y.
- Now, calculate P + Q = 10y + 11y = 21y.
- Calculate Q + R = 11y + 12y = 23y.
- Calculate R + P = 12y + 10y = 22y.
- Therefore, P + Q : Q + R : R + P = 21 : 23 : 22.
- Option 1 (21 : 23 : 22) is the correct answer.
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