Wednesday, October 10, 2007

October threads....

1)what is the median of a given data


2)wat is the area of unshaded region... 7 circles are inscribed in a circle and diameter of larger circle is given

3)ax=-a......by=b.......which is greater x or y

4)x+y+z=3......wat is mean of 3x-6, 2y+3, 2-x, z

5)2 questions on geometry of triangles these were tough
-

6)trapezium with sides 3,5,6 is given asked to find perimeter

7)1/9+1/10+1/11+1/12+1/13+1/14+1/15)........7/12.....which one is greater

8). a pentagon with angles =x,x,x,2x-90,80 what is x

9) 90n, find n such that 90n is a perfect cube root

10) there r more than 1200 men and women. ration of men to women 2:3. aand there n more men than women, find n

11)trains 100 m and 150m in lenght long are goig in same direction on parrelel tracks.faster train speed is 60 km ph and slower train speed 42 km ph.at wht time faster train over take slower train

12)COL A : 3^50/4^50

COL B: 6^25/8^25
ans is b

13) a car goes around a circle of radius of 14km in the first round it travels with a speed of 11km/hr in sud sequent rounds its speed increases by 11km/hr in each round how much time does the car take to cover a dist of 440km

a)14*8/5 b)15*14/18 c)18*4/15 d)4*15/18 e)7*4/15

14)a sqaure with a smaller square drawn inside it such that the vertices of the smaller square are on mid points of he larget square. similarly aone more square is drawn inside the smaller square . whats the length of smaller square in therms of larger square

ans) lenght of smallest square is half of the length of largest square

15)wht are the maximum number of right angels a quadrilateral can have if no two sides in are equal...

16) *AN EMERGENCY VEHICLE TRAVELS 10 MILES AT A SPEED OF 50MPH HOW FAST MUST THE VEHICLE TRAVEL ON THE RETURN TRIP IF THE ROUND TRIP TRAVEL TIME IS TO BE 20 MIN.?
A)55MPH
B)60MPH
C)65MPH
D)70MPH
E)75MPHd

17) square of (a) - 10a +25 = b

cola 0

colb least possibe value for b

18) Remainder when 7^548 is divided by 9?

19) Probability of locus of a point in a recangle divided by a line segment

20) prob of sm eventE was 0.3 and prob of sm event Fwas 0.4.prob that either
E or F occurs either Eand F both occur is sm num,ber 0.smthin
A B
Prob that both E and F occur 0.2 or so

i marked D

21) A rectangle wid one side 5 and square wid one side 4 are inscribed in same circle...what is area of the rectangle?

22)n is divisible by 11... 100<500>

25).When 30 gallons water poured in to cylinder

whose sides are perpendicular to base, water level

rises 0.5 ft, if 7.5 gallons occupy 1cu.ft space what

is the area of base of tank?
Ans: 8sq.ft

26). A wooden cube whose edge is 3 inch is painted

red,cut into 27 pieces of 1 inch edge. Find total

surface area of unpainted?

27). -1<0>Col a: I -x-1/2 I
Colb: I x-1/2 I
Ans: B

28). n is a +ve integer.what is the least value of n if

90n is a perfect cuberoot.
Ans: 300

29). A line with slope -1/2 was given.Two points

(3,y) &(1,2) line on the small line.What is the value

of y?
Ans: 1

30). Cola: 2z/root2
Colb: zroot2
Ans is c i.e,both da columns r equal

31). Remainder when 7^548 is divided by 9?

32). A box contain 10 bulbs, out of which 2 are

defective. 3 bulbs r choosen at random frm this

box.the probability that atleast one of these is

defective.
Ans: 8/15.

33). Units digits of
Cola Colb
(14)^14 (16)^16 Ans: C, i.e both the columns r

equal

34). 8,9,11,12,12, 14,15,15, 15,18
if one 15 is also added....which one will be most

affected?
a. mean b.median c.mode d.range e.none of these
Ans: b

35). What is the prob.. that particular year b/n 1987

and 1992 has 53 Sunday
Ans. 2/7.


36))2X+3Y=4 what is the X- intercept of the line
Sol: 2X/4 + 3Y/4 = 1
X/2 + Y/4/3 = 1
Therefore the X- intercept is 2


37)The Three vertices of a parallelogram is given as

(0,0) (1,2) (3,3) and asked to find out
the fourth vertices.
Sol: The answer is (2,1) , Figure is given and by

that it is very easy to answer that
question


38)A circle is drawn inside an other circle, the

center of both circles are the same, the
radius of the first circle is X and the radius of the

second circle is X+Y,we are asked to
find out the probability that if a point is taken

from the circle the point should lie in
the smaller circle of radius X.
Sol: Area of smalle

39.) If x and y are positive integers and x+y<3>

40.) if the average(arithmetic mean) of a,b,c,-5,-10 is s and the average of a,b,c,5,10 is t
t then s-t is:
ans: -6

41.) 2!+4!+6!+8!+10!( I am not sure whether the unit's place or the tenth's place was asked....)
ans: 6

43.) Another question was there it was almost impossible to solve. 'n' is an integer between 10 and 100. When n is divided each divided 4,6,7 the remainder was 2.
Col A Col B
n 11
ans: a

44.) Another problem was given as (7^4 )(84^-6)
The options were given had to given its equivalent (You can getting the solution just by splitting 84 into 12 and 7...
ans: (7^-2*12^-6)


45)what is the minimum value of n such that 90n is a perfect cube? Ans : 300 ( but do check the options)

46)-1 < a1 =" 10" a2 =" 100" a3=" a2*a1" a4 =" a3*a2" people =" 52.." a =" 7^5" b =" (7^4" 3 ="[7^4" 3 ="7^4" 3 ="7^4">

53) col a col b
(1/10000)^-5 10000^5

54)90n, find n such that 90n is a perfect cube root3

55)1200 men:women 5:3 and n more than women find n
cola colb
n 350

56)-1<0,-1<0>

57)average number of stucents who attend each course is 32and 7 students attend two of the courses and nine students all the three courses and asked about some combinations
i cant able to recollect thae question exactlybut i calculated that problem as
7c2*9c3

58)1,2,2,3,3,3,4,4,4,4,5..wich is the 100th term

59)-what is the median of a given data-wat is the area of unshaded region... 7 circles are inscribed in a circle and diameter of larger circle is given-

60)ax=-a......by=b.......which is greater x or y-

61)x+y+z=3......wat is mean of 3x-6, 2y+3, 2-x, z-

62) questions on geometry of triangles these were tough-trapezium with sides 3,5,6 is given asked to find perimeter-

63)/9+1/10+1/11+1/12+1/13+1/14+1/15)........7/12.....which one is greater

64) a pentagon with angles =x,x,x,2x-90,80 what is x

65)90n, find n such that 90n is a perfect cube root3. there r more than 1200 men and women. ration of men to women 2:3. aand there n more men than women, find n

66)x+2)^(x+2)<-1cola xcolb -131.x ^-2 = 1/1+y^2 which is bigger x^2 or y?32..x^-2= 1/(y+1)cola: x2 colb: y 67)the perimeter of a rectangle is 92 sq feet. if the legth of the rectange is 1 greater than twice the breadth of the rectangle, wat is the legth of the rectangle. 68)a shopkeeper had T bananas. he sold 60 bananas on the first day at $0.40. If he wanted to sell the remaining bananas on the second day and earn the same total as the previous day at what price should he sell them each. 69) modulus(n-5)<3 tn=" the" t1="7" t2="4" t3="2" t4="t5=" t1="66">

70)2)X1, x2......x6 are numbers such that every number is 1/2 less than previous numberif x2+x4+x6=42x1+x3+x5= ?
a) 24b) 42c) 84d) 104


71) 0.5*0.3= 15*10^n
cola n
colb -2

72)No. of articles sold 15, 10, 30, 45 Price per unit (in dollars) 10.15, 18.5, 14, 12What is the approximate average price per unit?26.A bus departed to ny at 10.47 a.m and arrieved from ny at 3.37 pm on same day.the dist is btw two cities 290 miles.wht app average speed of bus

73)the difference btw compound intrest and simple intreset on certain sum of money in 2 yrs at 8% is $8.find the sum.

74)which of the set of vertices can form a square ...
1. (0,0), (0,4), (4,0)
2. (2,4), (2, -4) , (-2,4)
3. (0,0), (4,0), (2,2)

75)there r 1200 men and women. ratio of men to women 3:5. and there n more men than women, find n

76)-1 <>