Number properties

How Many Trailing Zeros Does 100! Have?
Step-by-Step Explanation
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GMAT Focus Edition QUANTITATIVE QUESTION. Problem Solving Word Problems. Number properties If the product of a positive integer x and 377,910 is divisible by 3,300, what is the least possible value of x ?
A. 10
B. 11
C. 55
D. 110
E. 330
Answer D
Explanation by Claudio Hurtado Coach GMAT FOCUS QUANT (+56 945 517 215) If X * 377,910 (multiplication of X and 377,910) is divisible by 3,300, then all the prime factors that compose 3,300 must be in "X" (an integer) or in (...)

1) If the remainder is 1 when m is divided by 2 and the remainder is 3 when n is divided by 4, which of the following must be true?
(A) m is even
(B) n is even
(C) m + n is even
(D) mn is even
(E) m/n is even
2) The remainder when m is divided by 5 is 2, and the remainder when m is divided by 3 is 2. If m > 2, what is the least possible value of m?
(A) 5
(B) 7
(C) 15
(D) 17
(E) 27
3) When x is divided by 2, remainder is 1 and y is divided by 8, remainder is 2. Which of (...)

If x and y are positive integers for which (2expx)(3expy)=1296, what is the value of x+y?
Note that 1296=6exp4=(2exp4)(3exp4), so x=y=4 and x+y=8. Final Answer: The final answer is 8.

If k is an integer and (0.0025)(0.025)(0.00016) × 10expk x (0.008) x (0,00625) x (0,4) is an integer, what is the least possible value of k?

GMAT QUANT Problem Solving Level 700 plus, Composition of integers, properties numbers.
AB + CD = AAA, where AB and CD are two-digit numbers and AAA is a
three digit number; A, B, C, and D are distinct positive integers. In the
addition problem above, what is the value of C?
(A) 1
(B) 3
(C) 7
(D) 9
(E) Cannot be determined
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