Quantitative: Number Properties Flashcards
7 cards from real GMAT practice questions. Tap to flip, then mark Knew It or Still Learning โ missed cards come back until you master them.
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If n^2 is even, what can be concluded about n?
Answer: n is even
If n were odd then n^2 would be odd, so an even n^2 forces n to be even.
How many integers between 1 and 100 inclusive are divisible by 7?
Answer: 14
The multiples are 7 through 98, and 98/7 = 14, giving 14 integers.
What is the units digit of 4^15?
Answer: 4
Units digits of 4^n alternate 4,6,4,6; odd exponents give 4, so 4^15 ends in 4.
Which of the following is divisible by 11?
Answer: 121
121 = 11 * 11, so it is divisible by 11.
If x and y are integers and xy is odd, then:
Answer: Both x and y are odd
A product is odd only when every factor is odd, so both x and y must be odd.
The number 2^5 * 3^2 has how many positive divisors?
Answer: 18
Add one to each exponent: (5+1)(2+1) = 6*3 = 18 divisors.
What is the sum of the first 5 prime numbers?
Answer: 28
The first five primes are 2, 3, 5, 7, 11, which sum to 28.