
In an equilateral triangle if the midpoints of all
the sides are joined then we get four equilateral triangles of equal
areas.
Area of region TWRP = Area of three equilateral triangles
= 6.25 ´ 3
= 18.75
Ans : D
 On substituting the appropriate values of m and n, m + n^{3}
bears the least value.
e.g. consider m = 1 and n =  2,
n  5m = ( 2)  5 (1) =  2 + 5 = 3
2n  m = 2 ( 2)  (1) =  4 + 1 = 3
n + m = ( 2) + (1) =  3
mn = (1) ´ ( 2) = 2
m + n^{3} = (1) + (2)3 =  1  8 =  9
Ans : E
 Draw EF parallel to AB parallel to CD
Ða = (1) + (2)
(1) = 50
(2) = 35
a = 50
+ 35
= 85
Ans : A
 In one hour the machines working together produce 1350 screws.
\ 1150 screws will be produced in
seconds
i. e. 0.851 or 3067 secs approx.
 Area of a trapezium =
[Sum of parallel sides] ´ distance between
them
=
[2x
+ x] ´ h
=
....(I)
But 2h = 3x
h =
substituting h in equation (I), we get
=
.
=
Ans : B