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19 Mar 2019, 18:14
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[GMAT math practice question]
The point (p,q) lies in which quadrant of the x-y plane?
1) (p+1, q) lies in the 2nd quadrant
2) (q-1, p) lies in the 4th quadrant
=>
Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution.
The first step of the VA (Variable Approach) method is to modify the original condition and the question. We then recheck the question.
Condition 1) tells us that p + 1 < 0 and q > 0, which is equivalent to p < -1 < 0 and q > 0. Thus, (p, q) is in the 2nd quadrant.
Condition 1) is sufficient.
Condition 2) tells us that q - 1 > 0 and p < 0, which is equivalent to p < 0 and q > 1 > 0. Thus, (p, q) is in the 2nd quadrant.
Condition 2) is sufficient.
Therefore, D is the answer.
Answer: D
FYI, Tip 1) of the VA method states that D is most likely to be the answer if conditions 1) and 2) provide the same information.
The point (p,q) lies in which quadrant of the x-y plane?
1) (p+1, q) lies in the 2nd quadrant
2) (q-1, p) lies in the 4th quadrant
=>
Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution.
The first step of the VA (Variable Approach) method is to modify the original condition and the question. We then recheck the question.
Condition 1) tells us that p + 1 < 0 and q > 0, which is equivalent to p < -1 < 0 and q > 0. Thus, (p, q) is in the 2nd quadrant.
Condition 1) is sufficient.
Condition 2) tells us that q - 1 > 0 and p < 0, which is equivalent to p < 0 and q > 1 > 0. Thus, (p, q) is in the 2nd quadrant.
Condition 2) is sufficient.
Therefore, D is the answer.
Answer: D
FYI, Tip 1) of the VA method states that D is most likely to be the answer if conditions 1) and 2) provide the same information.
21 Mar 2019, 18:28
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[GMAT math practice question]
If n, n/3 and n/4 are positive integers, and n is less than or equal to 100, how many values of n are possible?
A. 6
B. 7
C. 8
D. 9
E. 10
=>
The condition n/3 is a positive integer tells us that n is a positive multiple of 3.
The condition n/4 is a positive integer tells us that n is a positive multiple of 4.
Thus, n is a positive multiple of 12.
The number of positive multiples of 12 less than or equal to 100 is 8 since 100 = 12*8 + 4.
Therefore, the answer is C.
Answer: C
If n, n/3 and n/4 are positive integers, and n is less than or equal to 100, how many values of n are possible?
A. 6
B. 7
C. 8
D. 9
E. 10
=>
The condition n/3 is a positive integer tells us that n is a positive multiple of 3.
The condition n/4 is a positive integer tells us that n is a positive multiple of 4.
Thus, n is a positive multiple of 12.
The number of positive multiples of 12 less than or equal to 100 is 8 since 100 = 12*8 + 4.
Therefore, the answer is C.
Answer: C
25 Mar 2019, 18:19
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[GMAT math practice question]
If m and n are prime numbers, what is the value of m+n?
1) 15≤m<n≤20
2) mn = 323
=>
Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution.
The first step of the VA (Variable Approach) method is to modify the original condition and the question. We then recheck the question.
Condition 1)
15≤m<n≤20 tells us that m = 17 and n = 19. So, m + n = 17 + 19 = 36.
Condition 1) is sufficient since it yields a unique solution.
Condition 2)
mn=323 tells us that m = 17 and n = 19, or m = 19 and n = 17.
In both cases, m + n is 36.
Condition 2) is sufficient since it yields a unique solution.
Therefore, D is the answer.
Answer: D
If m and n are prime numbers, what is the value of m+n?
1) 15≤m<n≤20
2) mn = 323
=>
Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution.
The first step of the VA (Variable Approach) method is to modify the original condition and the question. We then recheck the question.
Condition 1)
15≤m<n≤20 tells us that m = 17 and n = 19. So, m + n = 17 + 19 = 36.
Condition 1) is sufficient since it yields a unique solution.
Condition 2)
mn=323 tells us that m = 17 and n = 19, or m = 19 and n = 17.
In both cases, m + n is 36.
Condition 2) is sufficient since it yields a unique solution.
Therefore, D is the answer.
Answer: D
