Consider the following two statements: Statement (I): The difference, the sum, and the product of two numbers are in the ratio 1: 5: 12. The product of the two numbers is 18. Statement (II): The…
Question and options
Consider the following two statements:
Statement (I): The difference, the sum, and the product of two numbers are in the ratio 1: 5: 12. The product of the two numbers is 18.
Statement (II): The last digit in the decimal representation of 291 is 6.
In light of the given statements, choose the most appropriate answer from the given options.
- Both Statement I and Statement II are true.
- Both Statement I and Statement II are false.
- Statement I is true but Statement II is false.
- Statement I is false but Statement II is true.
Answer and explanation
Correct answer: B - Both Statement I and Statement II are false.
(I) x-y = k, x+y = 5k gives x = 3k, y = 2k; xy = 6k^2 = 12k, so k = 2 and the product = 24, not 18: false. (II) Units digits of 2^n cycle 2,4,8,6; 91 mod 4 = 3, so the last digit is 8, not 6: false.
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