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 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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50 Comments Post a Comment
  1. joshua says:

    3rd question remainder is 1

  2. joshua says:

    Q:1
    12 is always greater than the distance between two given points.
    solution;
    First find the value of a and -b using the formula, sqrt of x-0^2+y-0^2=r.
    You will get a=2sqrt10 and b=7 or -b= -7
    plug in these values in distance formula of coordinate system. you will get sqrt of 140 which is less than 12.

  3. C. Chu says:

    gill:

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

  4. gill says:

    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

  5. karthik says:

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

  6. hemanshu_abbey says:

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

  7. hemanshu_abbey says:

    8.2100
    Let total sales be X

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

  8. hemanshu_abbey says:

    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

  9. hemanshu_abbey says:

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

  10. hemanshu_abbey says:

    5. 110

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

  11. hemanshu_abbey says:

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

  12. hemanshu_abbey says:

    3. Ans is 0

    123^4 – 123^3 + 123^2 – 123

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

    (123^3+123)(122)

  13. hemanshu_abbey says:

    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

  14. hemanshu_abbey says:

    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

  15. C. Chu says:

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

  16. C. Chu says:

    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.

  17. karthik says:

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

  18. nil says:

    plzzzzzz help:no 2 and 4

  19. nil says:

    9.can’t be solved

  20. nil says:

    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

  21. nil says:

    7. colA

  22. nil says:

    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

  23. nil says:

    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

  24. nil says:

    2.
    and
    4.
    plz explain

  25. nil says:

    3.ups…reminder is 0

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