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June 24 Quant Thread………post answers with explanion plz

1. Given a equation of circle x^2 + y^2 = 49 with two points A(4a, 3) and B(0, -b) on the circle.
Col A: Distance between points A & B
Col B: 12
2. In a survey of 200 people, 15% don’t have driving licence, 10% were charged for parking ticket one or more time and 78% neither [...]

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Written by gretoefl8 on July 1st, 2009 with 48 comments.
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1. Given a equation of circle x^2 + y^2 = 49 with two points A(4a, 3) and B(0, -b) on the circle.
Col A: Distance between points A & B
Col B: 12

2. In a survey of 200 people, 15% don’t have driving licence, 10% were charged for parking ticket one or more time and 78% neither had licence nor were charged for parking ticket one or more time. What are the number of people who don’t have licence and also were charged for parking ticket one or more time?

3. What is remainder when 123^4 – 123^3 + 123^2 – 123 is divided by 122?

4. Given that the range of 6 consecutive positive numbers is 6.8 and of 7 consecutive numbers is 13.2. If none of these numbers in the two groups are same, what would be the range of the 13 numbers?

5. Given a pentagon, with its five angles mentioned as x, x, x, 2x-90, 80. Find x?

6. Given two lines equations M and N as 3x^2+y-3=0 & 3x^2-y+3=0
Col A: slope of line M
Col B: slope of line N

7. Col A: (0.9/1.1)^2 + (1.1/0.9)^2
Col B: 2

8. A salesman gets 12% commission on the sales up to $ 500 and he gets 20% commission on the further sales amount on that day. If the salesman’s total commission is $380 on that day, then how much amount did he sell on that day?
9. If the Arithematic mean of a list of 65 items is ‘p’ and arithematic mean of a list of 92 items ‘n’. When the the two lists are combined the average mean is 84 then what is the value of p/n?
10. Given that x>y and xy

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Written by gretoefl8 on July 1st, 2009 with 48 comments.
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48 comments

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Get your own gravatar by visiting gravatar.com gretoefl8
#1. July 1st, 2008, at 6:04 PM.

10. Given that x>y and xy

Get your own gravatar by visiting gravatar.com prabin
#2. July 1st, 2008, at 9:20 PM.

B. coz solving for a and b, putting the points in the equation,we get a^2=5/2 and b=7. using the distance formula we get the distance between A and B sq. root of 140.

Get your own gravatar by visiting gravatar.com sanghi
#3. July 1st, 2008, at 9:31 PM.

1—-d
2—6
3—-remainder is 0….
hhey dudes….if any one wanna know the solution of evry question……visit…….drrajusgre.com……and on to the the forums there………

Get your own gravatar by visiting gravatar.com bhavin
#4. July 1st, 2008, at 9:59 PM.

1).. col A
2)3%
3)0
4) not at all sure… may be cant be determined..
5)108
7)B
8)2100
9)1

dont knw.. abt sixth one too! correct me if i m wrng somewhr!!

Get your own gravatar by visiting gravatar.com bhavin
#5. July 1st, 2008, at 10:00 PM.

hey… d ans of 5th is.. 110.. lol

Get your own gravatar by visiting gravatar.com Sweta
#6. July 1st, 2008, at 10:57 PM.

Can someone please explain the solution for 2nd question?? Bhavin, Sanghi… please explain

Get your own gravatar by visiting gravatar.com harini
#7. July 1st, 2008, at 11:01 PM.

1) col A
3) 0
4) I THINK MORE DATA SHOULD BE GIVEN
6)COL B;
7)COL A;
9)8/19

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#8. July 1st, 2008, at 11:59 PM.

hey anybody exp;ain first one?

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#9. July 2nd, 2008, at 12:16 AM.

see shweta… wt i think is…. those who dont hav license.. n wre charged… be x so..also we hav.. a total of.. 200 pl.. and of that..only 22 % wre involved.. in so we hav.. 44 ppl..
now..
we hav.
15%-x% .. for those who dnt hav liscence..
x% for.. both
10%-x%= for those.. who are chargged.
adding all this… we sould get.. 44… (22% of 200)
so we hav..
25%-x%=22%
x=3% of the total…
ie 3 % of 200
ie.. 6..
my first ans was wrng… its 6..

Get your own gravatar by visiting gravatar.com Aroha
#10. July 2nd, 2008, at 10:38 AM.

Can someone plz explain 1,4 and 9

Get your own gravatar by visiting gravatar.com Rumi
#11. July 2nd, 2008, at 12:34 PM.

1)colB
2)6
3)0
4)cant be determined
5)110
6)what is the answer?
7)colA
8)2100
9)please explain the answer

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#12. July 2nd, 2008, at 9:14 PM.

6……itss simple…hiw can u fnd…slope fr a second degree equation,,,,,,is simply…d….

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#13. July 2nd, 2008, at 9:18 PM.

If the Arithematic mean of a list of 65 items is ‘p’ and arithematic mean of a list of 92 items ‘n’. When the the two lists are combined the average mean is 84 then what is the value of p/n?

arithmetic mean……fr p..items is…65p…..
arithmetic mean fr….n items…is….92n…
avg=p items+n items/p+n
84=65p+92n/p+n
crss multiply….
19p=8n….
p/n=8/19…………..

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#14. July 3rd, 2008, at 8:59 AM.

1. col b
2. pls explain
3. 123^3+123

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#15. July 3rd, 2008, at 9:02 AM.

4. pls explain
5. 110
6. col b
7. col a
8. 2100
9. pls explain
10.not enough detail.
if any one require explanation of the question whose ans given buy
me u can mail me on dentpratik@yahoo.co.in

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#16. July 3rd, 2008, at 10:02 AM.

1) b
2) 6
3) 123[123^2+1]
5) 110
6) d
7) a
8) 2100
9 p/n = 8 /19
10) could the question be clear

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#17. July 3rd, 2008, at 2:54 PM.

9) still not sure about your equation and answer
i came up till 65*p +92*n = (84)*(92+65)
where 92 and 65 are items
i think more info is required because number of items(65,92)
doesn’t tell us anything about there individual mean(p,n)

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#18. July 4th, 2008, at 10:02 AM.

can any one explain 4 and 8

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#19. July 5th, 2008, at 12:28 AM.

comm. on 500 is 12% i.e. 500*12/100=60
now comm. left =380-60=320
so this left amnt of comm. is 20% of ‘X’ i.e. X*20/100=320
x=1600
TOTAL IS 1600+500=2100

Get your own gravatar by visiting gravatar.com gre n gre
#20. July 5th, 2008, at 12:29 AM.

ANS OF QUES 8th is above

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#21. July 6th, 2008, at 10:26 AM.

can any one explain to how solve 3rd

Get your own gravatar by visiting gravatar.com Mahesh
#22. July 18th, 2008, at 1:50 AM.

9) I guess all of you are wrong regarding 9th question :

there are two equations , solving which u will get the answer :

1) (65p + 92n)/(65+92) = 84

2) (p + n)/2 = 84

Solving this we get p/n = 1

Get your own gravatar by visiting gravatar.com karthik
#23. July 1st, 2009, at 10:34 PM.

hi sanghi
i got into that site forums but cud not find any answers or replies to the blogs..appreciate if u can help
kartik

Get your own gravatar by visiting gravatar.com nil
#24. July 1st, 2009, at 11:43 PM.

1. A
as the point lies on the circle then two points should satisfy the equation of circle. So, for A(4a,3) it is (4a)^2+(3)^2=49
or a^2=5/2

for B(0, -b) it is (0)^2+(b)^2=49
or b^2=49
or b=7(taken +ve value only)

Now, distance between two points is: square root of [(4a-0)^2+{3-(-b)}^2]=square root of 140…so <12

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#25. July 1st, 2009, at 11:53 PM.

3.reminder is (123^2X124)

[123^4 – 123^3 + 123^2 – 123]=123^3(123-1)+123(123-1)
=(123-1)(123^3+123)
=122(123^2X124)

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#26. July 1st, 2009, at 11:54 PM.

3.ups…reminder is 0

Get your own gravatar by visiting gravatar.com nil
#27. July 1st, 2009, at 11:55 PM.

2.
and
4.
plz explain

Get your own gravatar by visiting gravatar.com nil
#28. July 2nd, 2009, at 12:02 AM.

Sum of Interior Angles= 180(n-2)
for pentagon total is 180 X (5-2)=540 degree

now given x+x+x+2x-90+80=540
or 5x=550
or x=110

Get your own gravatar by visiting gravatar.com nil
#29. July 2nd, 2009, at 12:07 AM.

slope of line N>M

slope(m)=(y1-y2)/(x1-x2)

for M: two solutions are (1,0)and(0,3)…so m=-3
for N: two solutions are (1,6)and(0,3)…so m=3

Get your own gravatar by visiting gravatar.com nil
#30. July 2nd, 2009, at 12:10 AM.

7. colA

Get your own gravatar by visiting gravatar.com nil
#31. July 2nd, 2009, at 12:13 AM.

8.
comm. on 500 is 12% i.e. 500*12/100=60
now comm. left =380-60=320
so this left amnt of comm. is 20% of ‘X’ i.e. X*20/100=320
x=1600
TOTAL IS 1600+500=2100

see:gre n gre

Get your own gravatar by visiting gravatar.com nil
#32. July 2nd, 2009, at 12:18 AM.

9.can’t be solved

Get your own gravatar by visiting gravatar.com nil
#33. July 2nd, 2009, at 12:26 AM.

plzzzzzz help:no 2 and 4

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#34. July 2nd, 2009, at 1:45 AM.

hi nil,
ques no 3
hw did u get remainder 0 from )(123^3+123)

Get your own gravatar by visiting gravatar.com C. Chu
#35. July 3rd, 2009, at 5:04 AM.

1) is (B). Here is my explanation. Please correct me if I’m wrong.

Point A: Apply vector algebra/Pythagoreus to find that 49 = 16a^2 + 9, a = +/-sqrt(5/2).

Clearly b is +/-7 since we are told the point is on the circle and it lives on the y-axis.

The problem of finding the distance between two points can be reduced to the problem of finding the magnitude of the sum of the vectors whose start points are on the origin. In this case, draw a line starting from the origin to (4a,3) and another from the origin to (0,-b).

To add the vector and , we simply add the components to get . The magnitude of this vector is |||| = sqrt((4a)^2 + (3-b)^2).

4a is squared, so it makes no difference if a is greater or less than 0. Thus the above expression reduces to sqrt(40 + (3-b)^2).

Plugging in -7 for b, we get sqrt(40 + (3 – (-7))^2) = sqrt(40+100) = sqrt(140) < (sqrt(144) == 12).

Plugging in +7 for b, we get sqrt(40 + (3 – 7)^2 = sqrt(40+16) = sqrt(56) < (sqrt(144)==12).

Thus, 12 is always larger, Column B is the correct answer.

Get your own gravatar by visiting gravatar.com C. Chu
#36. July 3rd, 2009, at 5:06 AM.

Whoa, my vector notation got chomped. That should be (4a,3-b) in the |||| signs (should read ||(4a,3-b)|| but with angle brackets)

Get your own gravatar by visiting gravatar.com hemanshu_abbey
#37. July 3rd, 2009, at 2:02 PM.

1. Given a equation of circle x^2 + y^2 = 49 with two points A(4a, 3) and B(0, -b) on the circle.
Col A: Distance between points A & B
Col B: 12
Ans is (B) If points lie on circle then it should satisfy the equation solve for a and b and apply distance formula

Get your own gravatar by visiting gravatar.com hemanshu_abbey
#38. July 3rd, 2009, at 2:48 PM.

2. Ans is 6
don’t have driving licence(15%)=30(may or may not have been charged)
Charged for parking ticket(10%)= 20(may or may not have license)
The number of people who don’t have licence and also were charged should certainly be less than 20. Let it be x

neither had licence nor were charged(78%)= 156
200-156= 44 (people who were charged or not having license)

44= 30+20 -x (venn diagram thing)
x=6

Get your own gravatar by visiting gravatar.com hemanshu_abbey
#39. July 3rd, 2009, at 2:51 PM.

3. Ans is 0

123^4 – 123^3 + 123^2 – 123

123^3 (123-1) + 123 ( 123-1)

(123^3+123)(122)

Get your own gravatar by visiting gravatar.com hemanshu_abbey
#40. July 3rd, 2009, at 2:58 PM.

4. Question not clear
Range means avergae or what???

Get your own gravatar by visiting gravatar.com hemanshu_abbey
#41. July 3rd, 2009, at 3:01 PM.

5. 110

(n-2)*180= sum of all interior angles n=5 here
sum of all angles= 5x-10=540
x=110

Get your own gravatar by visiting gravatar.com hemanshu_abbey
#42. July 3rd, 2009, at 3:02 PM.

6. Wrong question as equation of line should be of the form y=mx +c
second degree equation is absurd!!

Get your own gravatar by visiting gravatar.com hemanshu_abbey
#43. July 3rd, 2009, at 3:05 PM.

7. Col A

Col A: (0.9/1.1)^2 + (1.1/0.9)^2
This is of the form x+1/x which is always greater than 2

Get your own gravatar by visiting gravatar.com hemanshu_abbey
#44. July 3rd, 2009, at 3:09 PM.

8.2100
Let total sales be X

12%*500+ 20%*(X-500)=380

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#45. July 3rd, 2009, at 3:11 PM.

9. 8/19
84= (65p+92n)/(p+n)

Get your own gravatar by visiting gravatar.com karthik
#46. July 4th, 2009, at 5:59 AM.

hw did u get remainder 0 from(123^3+123)

Get your own gravatar by visiting gravatar.com gill
#47. July 4th, 2009, at 6:23 AM.

please some one make me clear about this sign ( ^ ) what does mean if it is asked to apply on whateverr the no. as in question no. 1

Get your own gravatar by visiting gravatar.com C. Chu
#48. July 4th, 2009, at 7:13 AM.

gill:

^ should be read as “to the power of”. So x^2 is x to the power of 2, or x-squared.

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