CAT 1997QA Question 27

Number TheoryEasy

P, Q and R are three consecutive odd numbers in ascending order. If the value of three times P is 3 less than two times R, find the value of R.

Answer & solution

Correct answer: 9

  • A

    5

  • B

    7

  • 9

  • D

    11

Solution

As P, Q and R are consecutive odd numbers, Q = P + 2 and R = P + 4. Now 3P = 2(P + 4) – 3. On solving this equation, we get P = 5.

Therefore, R = 5 + 4 = 9

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CAT 1997 QA Q27: P, Q and R are three consecutive odd numbers in ascending order. If the value of three times P is 3 less than — Solution | TheCATExam