GRE - Quantitative Reasoning - Number Theory
m = 1032 2
When m is divided by 11, the remainder is r.
Quantity A: r
Quantity B: 3
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
For each integer n > 1, let A(n) denote the sum of the integers from 1 to n. For example, A(100) = 1 + 2 + 3 + … + 100 = 5,050. What is the value of A(200)? (more)
For each integer n > 1, let A(n) denote the sum of the integers from 1 to n. For example, A(100) = 1 2 3 … 100 = 5,050. What is the value of A(200)?
If j and k are integers and j — k is even, which of the following must be even?
C) j 2k
D) jk j
E) jk — 2j
Given j - k is even
=> either both j and k are odd or both are even
Option A - Incorrect because k will be odd if j is odd and k will be even if j is even
Option B. Incorrect because if j,k are odd, the product is odd, if they are even product is even
Option C. Incorrect j + 2k = j - k + 3k = even + 3k dependent on value of k
Option D. jk + j = j ( k + 1), if j is odd, k will be odd -> k + 1 will be even, hence j (k+1) will be even
If j is even j (k+1) will always be even
Correct option D.