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What is the two-digit number? Statement I: The number is divisible by both 7 and 4. Statement II: The number is greater than 50 and less than 60. Which statement(s) are sufficient to answer?

Competition practiceData Sufficiency
  • ABoth statements together are needed (neither alone is sufficient)
  • BStatement I alone is sufficient but Statement II alone is not
  • CStatement II alone is sufficient but Statement I alone is not
  • DEither statement alone is sufficient

Step-by-Step Solution

I gives multiples of 28 (28, 56, 84); II gives 51-59. The only common value is 56, so both are needed.
Answer: A) Both statements together are needed (neither alone is sufficient)

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