AUGUST THREAD - upto 18&19

1) The vertices of square S are (-1,-2), (-1, 1), (2,-2) and (2, 1)
what is the point where the diagonals of the square S meet?
Ans: (1/2, -1/2)

2) series 1) 1, 1, 11
series 2) 2,2,22
col A-->std. deviation of series 1
col B-->std. deviation of series 2

3) Z= [(123) ^4]-[(123) ^3] + [(123) ^2]-(123) if z is divided by 122 what is the remainder?

4) For road widening the length of a rectangular plot is decreased by 15% and its breadth is increased by 15%.
Col A-->area of the original plot
col B-->area of the changed plot

5) k is a +ve integer. The function f(x) is defined as f(x) = remainder when x is divided by k ==> f(x) = x%k, then what is the value of k, if f (k+25) =3

6) two cylindrical containers are there. One with internal radius 3 inches other with internal radius 6 inches. The 3 inch cylinder is of 10 inch height of which upto 9 inches was filled with a liquid. What would be the depth of the the liquid in the 2nd container if 1st container is emptied into the second container (previously empty)
Ans: 2.25 inches

7) xy>0
col a :--> y
col b :--> 0
Ans: D

8) A ladder of 5 ft length is in a slant position against a wall. The base of the ladder is
pulled y ft away from the wall and so the top of the ladder moved x ft towards the ground.
Col a :--->x
col b :--->y

9) for road widening the length of a rectangular plot is decreased by 15% and its breadth is increased by 15%.
Col A-->area of the original plot
col B-->area of the changed plot

10) Col A col B
2^7 *5^4 10^4*2^3

11) The vertices of square S are (-1,-2), (-1, 1), (2,-2) and (2, 1) what is the point where the diagonals of the square S meet?
Ans: (1/2, -1/2)

12) Set --11, 1, 11 set2--- 2,2,22
cola s.d of first set
colB s.d. of other set

13) A () B=-A^2B then find 2()-1

14) In a plane, given l and n lines are parallel. Given n equation as 2y+3x=4
then what is the slope of m?

15) A circle is inscribed in a square.
col A colB
diameter of circle diagonal of square

16)a@b is defined as - (a to the power -2b) so what is the value of 3@2
a) 12 b)-81 c) 1/81 d)-1/81 e)-12
ans is -1/81

17) circle and line lie on the same plane, line l passes through the centre of the circle
cola col b
no. of points the line 2 intersects with the circle

18) A ladder of 5 ft length is in a slant position against a wall. The base of the ladder is
pulled y ft away from the wall and so the top of the ladder moved x ft towards the ground.
Col a :--->x
col b:--->y
Ans: D

19) The vertices of square S are (-1,-2), (-1, 1), (2,-2) and (2, 1)
what is the point where the diagonals of the square S meet?
Finding mp of 1 and 3
-1+2/2 -2-2/2
=1/2 =-2
(1/2,-2)

20) they have given 3 bags all have red and white marbles: in first bag 4r n 6w second bag : 5r , 6w and third bag 5 red 5 w , they asked: if one marble is taken from first bag and transfer to second bag what is the probability that it is red?( they gave numbers to the bag so no need of third bag it is just for confusion)
the ans is :(4c1/10c1 * 6c1/12c1)+ (6c1/10c1 * 5c1/12c1)