Q1) Does line k intersect quadrant II?
a. Slope of k is -1/6
b. Y intercept of k is -6
OA is A
Q2) Lines n and p lie in xy plane. Is slope of line n less than slope of line p?
a. Lines n and p intersect at (5, 1)
b. Y-intercept of line n is greater than y intercept of line p
OA is C
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Rahul@gurome
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The answer to this question lies in the facts that:gdk800 wrote:Q1) Does line k intersect quadrant II?
a. Slope of k is -1/6
b. Y intercept of k is -6
- 1. If slope of a line is positive then,
- A) It'll always intersect 1st and 3rd quadrant.
B) It'll intersect 2nd quadrant if the y-intercept is positive.
C) It'll intersect 4th quadrant if the y-intercept is negative.
D) It'll not intersect 2nd or 4th quadrant and pass through origin if y-intercept is zero.
- A) It'll always intersect 2nd and 4th quadrant.
B) It'll intersect 1st quadrant if the y-intercept is positive.
C) It'll intersect 3rd quadrant if the y-intercept is negative.
D) It'll not intersect 1st or 3rd quadrant and pass through origin if y-intercept is zero.
- A) It'll always intersect 1st and 3rd quadrant.
Statement 1: Slope of k is -1/6
As the slope of k is negative it'll always intersect 2nd and 4th quadrant.
Sufficient.
Statement 2: y-intercept of k is -6
If slope of k is negative it'll always intersect 2nd quadrant.
But if slope of k is positive then it'll not intersect 2nd quadrant as the y-intercept is negative.
Not sufficient.
The correct answer is A.
Rahul Lakhani
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Quant Expert
Gurome, Inc.
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On MBA sabbatical (at ISB) for 2011-12 - will stay active as time permits
1-800-566-4043 (USA)
+91-99201 32411 (India)
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Rahul@gurome
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Given: Say equation of the line n is y = nx + a and equation of line p is y = px + b, where n and p are slopes of the lines and a and b are the y-intercepts of the lines respectively.gdk800 wrote:Q2) Lines n and p lie in xy plane. Is slope of line n less than slope of line p?
a. Lines n and p intersect at (5, 1)
b. Y-intercept of line n is greater than y intercept of line p
We need to determine whether n is greater than p or not.
Statement 1: Lines n and p intersect at (5, 1)
Therefore,
- 1 = 5n + a
1= 5p + b
As we don't know the relation between a and b, we can't determine whether n is greater than p or not.
Not sufficient.
Statement 2: Y-intercept of line n is greater than y intercept of line p
Therefore, a > b
This is clearly not enough to determine whether n is greater than p or not.
Not sufficient.
1 & 2 Together: Combining the above relations,
Thus, (n - p) = (b - a)/5 < 0 , as a > b => (b - a) < 0
=> n < p
Sufficient.
The correct answer is C.
Rahul Lakhani
Quant Expert
Gurome, Inc.
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On MBA sabbatical (at ISB) for 2011-12 - will stay active as time permits
1-800-566-4043 (USA)
+91-99201 32411 (India)
Quant Expert
Gurome, Inc.
https://www.GuroMe.com
On MBA sabbatical (at ISB) for 2011-12 - will stay active as time permits
1-800-566-4043 (USA)
+91-99201 32411 (India)
Thanks for the detailed explanations Rahul. Hope you won't mind tackling some more.
Q3: Each employee is either a director or a manager. What % of the employees are directors?
a. The average salary of managers is $5000 less than the average of all employees
b. The average salary of directors is $15000 greater than the average of all employees
[spoiler]OA is C
[/spoiler]
Q4: Sum of positive integers x and y is 72. What is xy?
a. x = y + 1
b. x and y have same tens digit
OA is D
Q3: Each employee is either a director or a manager. What % of the employees are directors?
a. The average salary of managers is $5000 less than the average of all employees
b. The average salary of directors is $15000 greater than the average of all employees
[spoiler]OA is C
[/spoiler]
Q4: Sum of positive integers x and y is 72. What is xy?
a. x = y + 1
b. x and y have same tens digit
OA is D
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clock60
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i am not master in math, but i saw these problems ealier, sothink that can explain at least 1 one
employer=x. directors=y. we need to find y/(x+y), also a-mean salary of all work force
(1) av salary of x=a-5 insuff
(2) av salary of y=a+15 insuff
in common, total=average*number of terms, number of terms here the number of x, or y.average we are given from each st
both. a-av salary of total work force=(total salary of all)/(total number of work force), here we need weighted average
a= ((av salary of x)*x+(av salary of y)*y)/(x+y). we are given the av salary of x and y from st 1 and 2
a=((a-5)*x+(a+15)*y)/(x+y)
ax+ay=ax-5x+ay+15y, cancel ax and ay left with 5x=15y.x=3y. y/(3y+y)=y/4y=1/4-out target both are suff
to understand it better consider example
in 3 days i solved 10 problems , and in the next 5 days i solved 20 problems what is av number of problems solved in a day
a=(3*10+5*20)/(3+5)=16,25
employer=x. directors=y. we need to find y/(x+y), also a-mean salary of all work force
(1) av salary of x=a-5 insuff
(2) av salary of y=a+15 insuff
in common, total=average*number of terms, number of terms here the number of x, or y.average we are given from each st
both. a-av salary of total work force=(total salary of all)/(total number of work force), here we need weighted average
a= ((av salary of x)*x+(av salary of y)*y)/(x+y). we are given the av salary of x and y from st 1 and 2
a=((a-5)*x+(a+15)*y)/(x+y)
ax+ay=ax-5x+ay+15y, cancel ax and ay left with 5x=15y.x=3y. y/(3y+y)=y/4y=1/4-out target both are suff
to understand it better consider example
in 3 days i solved 10 problems , and in the next 5 days i solved 20 problems what is av number of problems solved in a day
a=(3*10+5*20)/(3+5)=16,25
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clock60
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as for the next problem i am not sure in its truth
we are given that x+y=72, and from 1 st x and y are consecutive integers, it happens that one is even and other is odd
so their sum must be odd ( odd +even=odd) but in the condition x+y=72-even???
we are given that x+y=72, and from 1 st x and y are consecutive integers, it happens that one is even and other is odd
so their sum must be odd ( odd +even=odd) but in the condition x+y=72-even???
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goyalsau
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I would recommend you to go through this link, It will be very Helpfulgdk800 wrote:Q1) Does line k intersect quadrant II?
a. Slope of k is -1/6
b. Y intercept of k is -6
OA is A
Q2) Lines n and p lie in xy plane. Is slope of line n less than slope of line p?
a. Lines n and p intersect at (5, 1)
b. Y-intercept of line n is greater than y intercept of line p
OA is C
https://www.mathsisfun.com/data/straight_line_graph.html
Saurabh Goyal
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EveryBody Wants to Win But Nobody wants to prepare for Win.
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EveryBody Wants to Win But Nobody wants to prepare for Win.
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tomada
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Q4 has me intrigued. You said X and Y are both integers, and their sum = 72
In Statement (1), X=Y+1. Plugging into X+Y=72, we get (Y+1) + Y = 72, or 2Y+1 = 72 or 2Y = 71, but then Y is not an integer.
In Statement (1), X=Y+1. Plugging into X+Y=72, we get (Y+1) + Y = 72, or 2Y+1 = 72 or 2Y = 71, but then Y is not an integer.
gdk800 wrote:Thanks for the detailed explanations Rahul. Hope you won't mind tackling some more.
Q3: Each employee is either a director or a manager. What % of the employees are directors?
a. The average salary of managers is $5000 less than the average of all employees
b. The average salary of directors is $15000 greater than the average of all employees
[spoiler]OA is C
[/spoiler]
Q4: Sum of positive integers x and y is 72. What is xy?
a. x = y + 1
b. x and y have same tens digit
OA is D
I'm really old, but I'll never be too old to become more educated.
@tomada: This is exactly what has befuddled me. That is the reason this question is here on the forum. I also want to reconfirm whether its the right question that i have got?
Anyways, i am going to put up few more very soon.
Thanks for your reverts.
Anyways, i am going to put up few more very soon.
Thanks for your reverts.
