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There is a circular pond and a footpath runs along its boundary. A man walks around it exactly once, keeping close to the edge. His each step is 55 cm long and he takes exactly 440 steps to around once then. The diameter of the pond is
Circumference of the outer edge = 55 x 440 = 24200 cm
We know that c = 2πr
∴ 24200 = 2 x 22/7 x r
⇒ r = 24200 x 7/2 x 22 = 3850 cm
radius of the outer edge or pond = 3850 cm = 3850/100 = 38.5 m
diameter = 38.5 x 2 = 77 m
Choose the numeral pair which is different from others .
Except 9  3, in all other pairs, the first number is four times the second number.
What will be the compound interest on a sum of Rs 25,000 after 3 yrs at the rate of 12 pcpa?
Amount = Rs [25000 x (1 + 12/100 )^{3}]
= Rs (25000 x 28/25 x 28/25 x 28/25 )
= Rs 35123.20
∴ C.I. = Rs (35123.20  25000) = Rs 10123.20
cos 45^{0}cos 60^{0}  sin 45^{0}cos 60^{0} =
If sec^{2}θ + tan^{2}θ = 5/3 , 0^{0} < θ < 90^{0} , then the value of θ is
A ship of mass 15 x 10^{7} kg is at rest on the surface of water. A force of 25 x 10^{4} N pulls it upto a distance of 48 m. Velocity of ship =
F = ma
25 x 10^{4} = 15 x 10^{7} x a
v^{2}  u^{2} = 2aS; u = 0
v^{2} = 2 x 5/3 x 10^{3} x 48 = 0.16
v = √0.16 = 0.4 m ∕ s
Let ABCD be a rectangle such that AB=2 BC. If O is any point on AB such that ∠BOC=∠COD. Then the value of ∠ODC is :
If + means  ,  means ×, × means ÷ and ÷ means + then
15 × 3 ÷ 15 + 5  2 = ?
15 ÷ 3 + 15  5 × 2 = 5 + 15  5 × 2 = 5 + 15  10 = 10
Two pipes A and B can separately fill a cistern in 60 minutes and 75 minute respectively. There is a third pipe at the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 minutes. In how much time can the third pipe alone empty the cistern?
Work done by the third pipe in 1 min. = 1/50  ( 1/60 + 1/75 )
= ( 1/50  3/100 )
=  1/100
Therefore, the third pipe alone can empty the cistern in 100 min
3640 ÷ 14 × 16 + 340
= 260 × 16 + 340
= 4160 + 340 = 4500
A man can reach a certain place in 30 hours. If he reduces his speed by (1/15)th, he goes at 10 km less in that time. Find his speed.
Let the speed be x km/hr
Then 30 x  30 x 14/15 x = 10
⇒ 2x = 10
⇒ x = 10/2 = 5 km/hr
A pump can lift 200 kg of water to a storage tank at height of 37.5 m in 50 s. Assuming that g=10 m/s^{2}, what is the power of the pump?
An industrial electrician attaches exactly seven components— designated S, T, V, W, X, Y, and Z—to a circuit board in exactly seven consecutive steps; exactly one component is attached per step. Each component is attached exactly once, and each is attached either by hand or by machine, but not both.
X is the fourth component attached.
Exactly two components are attached by hand at some time before X is attached.
No component is attached by hand before T is attached.
W is attached at some time before T.
Y is attached at some time after both Z and S.
The sixth component attached is attached by hand.
Q. Which one of the following could be an accurate list, in order, of the first three components attached?
An industrial electrician attaches exactly seven components— designated S, T, V, W, X, Y, and Z—to a circuit board in exactly seven consecutive steps; exactly one component is attached per step. Each component is attached exactly once, and each is attached either by hand or by machine, but not both.
X is the fourth component attached.
Exactly two components are attached by hand at some time before X is attached.
No component is attached by hand before T is attached.
W is attached at some time before T.
Y is attached at some time after both Z and S.
The sixth component attached is attached by hand.
Q. Which one of the following components must be attached by machine?
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