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Quantitative: Number Properties Flashcards

7 cards from real GMAT practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Quantitative: Number Properties flashcards as text

  1. What is the greatest common divisor (GCD) of 48 and 60?

    Answer: 12

    48 = 2^4*3 and 60 = 2^2*3*5, so the GCD is 2^2*3 = 12.

  2. What is the least common multiple (LCM) of 9 and 12?

    Answer: 36

    9 = 3^2 and 12 = 2^2*3, so the LCM is 2^2*3^2 = 36.

  3. If an integer is divisible by both 4 and 9, it must also be divisible by:

    Answer: 36

    Since 4 and 9 are coprime, divisibility by both forces divisibility by 4*9 = 36.

  4. Which number is NOT divisible by 3?

    Answer: 451

    The digits of 451 sum to 10, which is not divisible by 3.

  5. If p and q are both prime numbers greater than 2, then p + q is always:

    Answer: Even

    Primes greater than 2 are odd, and the sum of two odd numbers is even.

  6. What is the smallest positive integer with exactly 3 divisors?

    Answer: 4

    A number has exactly 3 divisors only when it is the square of a prime, and the smallest is 2^2 = 4.

  7. What is the remainder when 5^4 is divided by 7?

    Answer: 4

    5^4 = 625, and 7*89 = 623, so the remainder is 625 - 623 = 2.