If x = 175 + 174 + 17 + 1 and y = 118 – 115 – 113 – 1, then which of the following statements is true?
Explanation:
x = 175 + 174 + 17 + 1 = 174 (17 + 1) + (17 + 1) = (174 + 1) × (17 + 1) Hence, x is a composite number.
y = 118 – 115 – 113 – 1 = (118 – 1) – (115 + 111) = (114 – 1) (114 + 1) – 113 (112 + 1) = (112 - 1) (112 + 1) (114 + 1) – 113 (112 + 1) = (112 + 1)[(112 – 1)(114 + 1) - 113] Hence, y is a composite number.
Hence, option (d).
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