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Data Sufficiency Flashcards

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  1. What is the LCM of two numbers? Statement I: The two numbers are 12 and 18. Statement II: Their HCF is 6. Which is sufficient?

    Answer: Statement I alone

    Statement I alone is sufficient because LCM(12, 18) = 36 can be computed directly from the two numbers.

  2. Is triangle ABC right-angled? Statement I: AB² + BC² = AC². Statement II: Angle B = 90°. Which is sufficient?

    Answer: Either statement alone

    Both statements independently confirm a right-angled triangle—via the Pythagorean theorem and via direct angle measurement.

  3. What is the average of five numbers? Statement I: Sum of five numbers is 125. Statement II: The middle number is 25. Which is sufficient?

    Answer: Statement I alone

    Average = Sum ÷ Count = 125 ÷ 5 = 25, so Statement I alone is sufficient.

  4. What is the ratio of boys to girls in a class? Statement I: There are 30 boys and 20 girls. Statement II: Girls are 40% of the class. Which is sufficient?

    Answer: Either statement alone

    Statement I gives ratio 30:20 = 3:2 and Statement II gives boys = 60%, girls = 40%, also ratio 3:2; either alone is sufficient.

  5. What is the circumference of a circle? Statement I: The diameter is 14 cm. Statement II: The area is 154 cm². Which is sufficient?

    Answer: Either statement alone

    Statement I gives C = πd = 44 cm directly; Statement II gives r from area, then C = 2πr = 44 cm; either alone is sufficient.

  6. What is the discount amount? Statement I: Marked price is $500. Statement II: Discount rate is 20%. Which is sufficient?

    Answer: Both statements together

    Discount amount = 20% of $500 = $100, which requires both the marked price and the discount rate.

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