Sumer's Doubts with solutions...
P1:
g^2<1
-1
I know that the sign changes in inequalities when we multiply with –ve sign but if we solve the
above problem as
g^2-1<0
(g+1)(g-1)<0
g<-1 and g<1
Please explain where i’m making a mistake.
(g+1)(g-1)<0 means -1
The concept has been explained in great detail in the Algebra video; please watch it again.
P2:
Q-13, Pg-34, Math-Stage I
P is a multiple of 7 then it should give a different answer every time but answer is A
You're right; we need to get this corrected in the material. We've made a note of this; thanks for bringing this to our notice.
P3: from Number System I introduction question
83^3743^742
I think answer should be 9 because 3 has a cyclicity of 4 and 3743/4 = 3 and 3^3= 7 and 7^742
gives 2 as remainder and answer should be 9. But right answer is 3 please explain.
The mistake you're committing is in dividing just 3743 by 4 and not 3743^742 by 4. Think, 3%4 = 3 but 3^2%4=1; the power matters
While finding the remainder, divide the entire power by 4
(3743^742)%4
=(3740+3)^742%4
=3^742%4
= 9^371%4
=1^171%4 = 1
Now, 3^1 = 3 remainder.
Don't worry much if you don;t get it; this just a teaser, beyond the GMAT levels.
P4:
Pg-61,62, math stage I
Q- Maximum/Minimum
When we try to solve the below question with similar approach it does not work
Q-In an office where working in at least one department is mandatory, 78% of the employees are
in operations, 69% are in finance and 87% are in HR. What are the maximum percentage of
employees that could have been working in all three departments?
If I take 69% as the max then the total becomes more than 100% please explain.
Please watch the video carefully; the maximum is simply the smallest of all values; the answer to this question is simple 69% as that's the lowest of the three values.
P1:
g^2<1
-1
I know that the sign changes in inequalities when we multiply with –ve sign but if we solve the
above problem as
g^2-1<0
(g+1)(g-1)<0
g<-1 and g<1
Please explain where i’m making a mistake.
(g+1)(g-1)<0 means -1
The concept has been explained in great detail in the Algebra video; please watch it again.
P2:
Q-13, Pg-34, Math-Stage I
P is a multiple of 7 then it should give a different answer every time but answer is A
You're right; we need to get this corrected in the material. We've made a note of this; thanks for bringing this to our notice.
P3: from Number System I introduction question
83^3743^742
I think answer should be 9 because 3 has a cyclicity of 4 and 3743/4 = 3 and 3^3= 7 and 7^742
gives 2 as remainder and answer should be 9. But right answer is 3 please explain.
The mistake you're committing is in dividing just 3743 by 4 and not 3743^742 by 4. Think, 3%4 = 3 but 3^2%4=1; the power matters
While finding the remainder, divide the entire power by 4
(3743^742)%4
=(3740+3)^742%4
=3^742%4
= 9^371%4
=1^171%4 = 1
Now, 3^1 = 3 remainder.
Don't worry much if you don;t get it; this just a teaser, beyond the GMAT levels.
P4:
Pg-61,62, math stage I
Q- Maximum/Minimum
When we try to solve the below question with similar approach it does not work
Q-In an office where working in at least one department is mandatory, 78% of the employees are
in operations, 69% are in finance and 87% are in HR. What are the maximum percentage of
employees that could have been working in all three departments?
If I take 69% as the max then the total becomes more than 100% please explain.
Please watch the video carefully; the maximum is simply the smallest of all values; the answer to this question is simple 69% as that's the lowest of the three values.
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