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
3rd question remainder is 1
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.
gill:
^ should be read as “to the power of”. So x^2 is x to the power of 2, or x-squared.
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
hw did u get remainder 0 from(123^3+123)
9. 8/19
84= (65p+92n)/(p+n)
8.2100
Let total sales be X
12%*500+ 20%*(X-500)=380
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
6. Wrong question as equation of line should be of the form y=mx +c
second degree equation is absurd!!
5. 110
(n-2)*180= sum of all interior angles n=5 here
sum of all angles= 5x-10=540
x=110
4. Question not clear
Range means avergae or what???
3. Ans is 0
123^4 – 123^3 + 123^2 – 123
123^3 (123-1) + 123 ( 123-1)
(123^3+123)(122)
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
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
Whoa, my vector notation got chomped. That should be (4a,3-b) in the |||| signs (should read ||(4a,3-b)|| but with angle brackets)
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.
hi nil,
ques no 3
hw did u get remainder 0 from )(123^3+123)
plzzzzzz help:no 2 and 4
9.can’t be solved
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
7. colA
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
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
2.
and
4.
plz explain
3.ups…reminder is 0