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Ans: a
365 / 52 = 7 with remainder 1
365 days= 52 full weeks and extra day
∴ P(Monday) = 1/7
Ans : a
tan 60 =150/x
→ x = 150/√3
tan 45 = 150/(x+y)
→ x + y= 150
Solving, y = 150( 1 - 1/√3)
∴ distance = 150( 1 - 1/√3) * 1/1000 km
time = 2/ 60 hour
Speed = distance / time
calculating, speed = 1.9 km/hr
Ans: e
tan θ = 3/4
Divide each term of the equation by Cos θ, you'll get:
(4 tan θ - 3) / (4 tan θ + 3)
substituting, you get 0
Ans: c
Actual New
r 1/2 .r
h h
V(new) : Vol(actual)
= [1/3 π (1/2 .r)2 . h] : [1/3 .pi π. r2 . h]
= (1/2 .r)2 : r2
=1 : 4
a) A true; R false
R: partly false Congruent shapes have both same shape AND SIZE.
equ 1: y=x/m + 3/m
equ 2: y= -2x/3 +7/3
Slope of perpendicular line: -1/(-2/3)= 3/2
Slopeof equ1: 3/2
Comparing: 3x/2 = x/m
Gives m=2/3
Ans: d : Both are false.
A) solving x=6, NOT 5.
R) Bisects; but not at right angles (unless it is a square)
Dividend% of NV = Return% of MV
15% of 40 = 12% of x
x = Rs 50