area of rug = 1/2*9*12
let dimensions of rug are a &b, which are in the ration of the floor
=> a/9=b/12
=> a=3*b/4
area or rug = a*b=54
solve this u'll get long side =option D
Given a square with vertex ‘O’ and centre ‘C’, when rotated by 45degree with respect to vertex ‘O’ the centre is changed to ‘C1’.
Col A: Distance between centre’s ‘C’ & ‘C1’
Col B: {5*sqrt (2)}/2
oc= 5sqrt(2)/2
oc1= 5 sqrt(2)/2
angle coc1= 45
sin(45)= oc/cc1=1/sqrt(2)=> cc1=5
ColA > ColB
A crate measures 8 feet by 16 feet by 24 feet on the inside. A stone
pillar in the shape of a right circular cylinder must fit into the
crate for shipping so that it rests upright when the crate on at least
one of its six sides. what is the radius, in feet, of the pillar with
the largest volume that could still fit in the crate? (Contributed by:
EastHaven)
a) 4
b) 8
c) 12
d) 16
e) 24
??
Roy is now 4 years older than Erik and half of that amount older than
Iris. If in 2 years, Roy will be twice as old as Erik, then in 2 years
what would be Roy's age multiplied by Iris's age?
a) 8
b) 28
c) 48
d) 50
e) 52
??
Two equations are given
ax + by = c
ix + ky = j (Replacing a, b, c, i, k, j by some numbers)
1. The lines are parallel
2.They intersect at 90 deg
3.They intersect.
Which of the following are true
A. 1and 2
B. 2 and 3
C. 1, 2 and 3
& so on……..
My Ans If 1 is true then 2&3 cannot be possible
If 2 is true then 1 is not possible and 3 is true
If 3 is true then option 1 is not possible but option may or may not be true
=> If 2 is true then 3 is obviously true
Given a square with vertex ‘O’ and centre ‘C’, when rotated by 45degree with respect to vertex ‘O’ the centre is changed to ‘C1’.
Col A: Distance between centre’s ‘C’ & ‘C1’
Col B: {5*sqrt (2)}/2
I am getting Ans A
If B is 1m to the east of A, C is 1m to the north of B, D is 1m to the east of C, E is 2m to the north of D, F is 1m to the east of E, then what is the shortest distance between A and F?
Ans 3*sqrt(2)
Two parallel lines L1 and L2 are cut by a transversal at B and A respectively. E is a point on L2 such that angle BAE = 58. C is a point on L1 on the other side of transversal as E such that BC = CA.
Col A: Angle BCA
Col B: 60
Ans A