If 52272 = p2 q3 r4, where p, q and r are prime numbers, then the value of (2p…
2019
If 52272 = p2 q3 r4, where p, q and r are prime numbers, then the value of (2p + q - r) is
- A.
21
- B.
22
- C.
23
- D.
29
Attempted by 26 students.
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Correct answer: C
Factorize 52272 as 2^4 x 3^3 x 11^2. Matching 52272 = p^2 q^3 r^4 gives p = 11, q = 3 and r = 2. Therefore 2p + q - r = 22 + 3 - 2 = 23.