GMAT Overall (Correct Answers)
An argument is made up of premises (data) and a conclusion which was drawn on the
basis of these premises. Correct AnswersAn argument is comprised of:
Premise(s) - factual data or a given;
Conclusion - statement, opinion, or judgment based on the premise(s). The conclusion
may be logical (Example 1) or flawed (Example 2):
1. All cars have wheels. Therefore, John's car has wheels.
Ballparking π≅3+ will become extremely useful when solving geometry questions
involving circles. Correct AnswersReplace π with ≅3+, or " a little more than 3"
the only way to add or subtract powers is by extracting a common factor. Correct
Answers--> 2·3m·31 - 3m = 135
31 is essentially 3, so
--> 2·3·3m - 3m = 135
--> 6·3m - 3m = 135
Now, extract 3m as a common factor. 3m needs to be multiplied by 6 to reach in 6∙3m,
and by 1 to reach 3m:
--> 3m·(6-1) = 135
--> 3m∙5 = 135
Divide by 5, and:
--> 3m = 135/5 = 27
Yes/No Data Sufficiency
- Issue
- Plug In
- Plug Into Stem
- DOZEN F Correct Answers- Issue: Figure out the issue before diving deeper into the
stmt.
- Yes/No or must be:
- Definite "yes" or "no" = Sufficient (S)
- "maybe" = Insufficient (IS)
-Plug in
- Find #'s that don't contradict the stmts.
- Regard the stmts as facts.
- Once you find the # that completes the stmt, plug that into the ? stem. Test for Y/N.
- "Is it true for any #?". DOZEN F
DOZEN F Correct AnswersDifferent
One
Zero
Equal #'s for different variables
Negative
Factors
Anything raised to the power of 1 equals Correct Answersitself.
423 raised to 1 = 423
, 1 raised to any power equals Correct Answers= 1
1 raised to 3 = 1
Any number (except 0) raised to the power of 0 equals Correct Answers= 1
423 raised to 0 = 1
0 raised to any power (except 0) equals Correct Answers= 0
0 raised to 423 = 0
When dividing powers of the same base, ????? the exponents Correct Answerssubtract
the exponents.
a^5 / a ^3 = a^5-3 = a^2
reverse
3^x - 2 = 3^x / 3^2
any number raised to a negative power = Correct Answersthe inverse.
2^-2 = 1 / (2^2) = 1/ 4
is (y) to the power of (-x) negative?
stmt: Y is positive Correct AnswersNo. There is no power that can turn a positive base
into a negative result.
plug in 2 for y and -3 for x
2 to the power of -3 = 1 / (2 to the power of 3) = 1/8 = positive
is y to the power of (x) negative?
stmt: x is even. Correct AnswersNo. An even power will always be non-negative.
plug in -3 for y and 2 for x
-3 to the power of 2 = (-3)(-3) = 9 (non-negative)
is (y) to the power of (-x) positive?
stmt: y is negative
stmt: x is odd Correct AnswersNo. An odd power will maintain the bases original sign.
plug in -2 for y and 3 for x
-2 to the power of -2 = 1/-2 to the power of 3 =
1 / (-2)(-2)(-2) = 1/-8
An even power will always be non-negative.
(y) to the power of (-x)
If y=-3 and x=2, then y to -x = (-3) to -2 = 1/(-3) to 2 = 1/9, which is positive Correct
AnswersAn odd power will maintain the base's original sign.
An argument is made up of premises (data) and a conclusion which was drawn on the
basis of these premises. Correct AnswersAn argument is comprised of:
Premise(s) - factual data or a given;
Conclusion - statement, opinion, or judgment based on the premise(s). The conclusion
may be logical (Example 1) or flawed (Example 2):
1. All cars have wheels. Therefore, John's car has wheels.
Ballparking π≅3+ will become extremely useful when solving geometry questions
involving circles. Correct AnswersReplace π with ≅3+, or " a little more than 3"
the only way to add or subtract powers is by extracting a common factor. Correct
Answers--> 2·3m·31 - 3m = 135
31 is essentially 3, so
--> 2·3·3m - 3m = 135
--> 6·3m - 3m = 135
Now, extract 3m as a common factor. 3m needs to be multiplied by 6 to reach in 6∙3m,
and by 1 to reach 3m:
--> 3m·(6-1) = 135
--> 3m∙5 = 135
Divide by 5, and:
--> 3m = 135/5 = 27
Yes/No Data Sufficiency
- Issue
- Plug In
- Plug Into Stem
- DOZEN F Correct Answers- Issue: Figure out the issue before diving deeper into the
stmt.
- Yes/No or must be:
- Definite "yes" or "no" = Sufficient (S)
- "maybe" = Insufficient (IS)
-Plug in
- Find #'s that don't contradict the stmts.
- Regard the stmts as facts.
- Once you find the # that completes the stmt, plug that into the ? stem. Test for Y/N.
- "Is it true for any #?". DOZEN F
DOZEN F Correct AnswersDifferent
One
Zero
Equal #'s for different variables
Negative
Factors
Anything raised to the power of 1 equals Correct Answersitself.
423 raised to 1 = 423
, 1 raised to any power equals Correct Answers= 1
1 raised to 3 = 1
Any number (except 0) raised to the power of 0 equals Correct Answers= 1
423 raised to 0 = 1
0 raised to any power (except 0) equals Correct Answers= 0
0 raised to 423 = 0
When dividing powers of the same base, ????? the exponents Correct Answerssubtract
the exponents.
a^5 / a ^3 = a^5-3 = a^2
reverse
3^x - 2 = 3^x / 3^2
any number raised to a negative power = Correct Answersthe inverse.
2^-2 = 1 / (2^2) = 1/ 4
is (y) to the power of (-x) negative?
stmt: Y is positive Correct AnswersNo. There is no power that can turn a positive base
into a negative result.
plug in 2 for y and -3 for x
2 to the power of -3 = 1 / (2 to the power of 3) = 1/8 = positive
is y to the power of (x) negative?
stmt: x is even. Correct AnswersNo. An even power will always be non-negative.
plug in -3 for y and 2 for x
-3 to the power of 2 = (-3)(-3) = 9 (non-negative)
is (y) to the power of (-x) positive?
stmt: y is negative
stmt: x is odd Correct AnswersNo. An odd power will maintain the bases original sign.
plug in -2 for y and 3 for x
-2 to the power of -2 = 1/-2 to the power of 3 =
1 / (-2)(-2)(-2) = 1/-8
An even power will always be non-negative.
(y) to the power of (-x)
If y=-3 and x=2, then y to -x = (-3) to -2 = 1/(-3) to 2 = 1/9, which is positive Correct
AnswersAn odd power will maintain the base's original sign.
