MPSC PYQ

MPSC Rajyaseva 2020 CSAT — Question 64

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P या नैसर्गिक संख्येल्या 11 ने गुणून त्यात 33 ही संख्या मिळवली. या बेरजेला 9 ने भागले आणि बाकी शून्य मिळाली. दिलेल्या अटींचे समाधान करणारी P ची सर्वात लहान किंमत निवडा.

1)1
2)3
3)6✓ Correct
4)15

11P + 33 must be divisible by 9 with zero remainder. Testing natural numbers in order: P=1 gives 44 (not divisible), P=3 gives 66 (not divisible), P=6 gives 11(6)+33 = 99, and 99 / 9 = 11 exactly. So P=6 is the smallest value that satisfies the condition.

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