A tap can filla tank in 25 minutes and another tap can empty it in 50 minutes. If both the taps are opened together simultaneously the tank will be filled in

Solution
When both the taps are opened together, part of the tank filled in
1 minute = ^{1}⁄_{25}  ^{1}⁄_{50}
\(\frac{21}{50}=\frac{1}{50}\)
Hence the tank will be filled in
50 minutes
A sum of money becomes Rs.8820 in 2 years and Rs. 9261 in 3 years at the same rate of compound interest. The rate of interest per annum is

Solution
\(A=p\left ( 1+\frac{r}{100} \right )^{n}\)
\(\Rightarrow 9261 =p\left ( 1+\frac{r}{100} \right )^{3}........(1)\)
\(8820 =P\left ( 1+\frac{r}{100} \right )^{2}.........(2)\)
By (1) ÷ (2)
\(\frac{9261}{8820}=1+\frac{r}{100}\)
\(\Rightarrow r=\left ( \frac{9261}{8820}1 \right )\times 100\)
\(=\frac{441}{8820}\times 100=5\)%
A train running at 72 kmph crosses a 200m long platform in 22 seconds. The length of the train is

Solution
Speed of train=72 kmph
= 72 × ^{5}⁄_{18}m/sec.
= 20 m/sec.
Let the length of train be x m.
According to the question,
\(\frac{Length of (platform + train)}{Speed}=Time\)
⇒\(\frac{200 +x}{20}=22\)
⇒ 200 +X = 440
⇒ x=440200
= 240 metre
A 70 litres mixture of milk and water contains 20% of water. What quantity of additional water be mixed so that the water content in the mixture becomes 30%?

Solution
Quantity of water in original mixture = 20%
= 70 × ^{20}⁄_{100} = 14 litres
Now let. adding x litre of water will give 30% mixture.
\(\frac{14+ x}{70 + x}=\frac{30}{100}=\frac{3}{10}\)
⇒ 140 + 10 x = 210 + 3x
⇒ 7x= 70
⇒ x =^{70}⁄_{7} = 10 litres
The headquarters of International Monetary Fund is located at

Solution
Washington
The place of highest rainfall in the world is

Solution
Masinram
The unit of electric charge is

Solution
Unit of electric change is coulomb while that of electric current is ampere.
In a certain code SEEMA means 43. In the same code AMRiTA means

Solution
SEEMA = 19 + 5 + 5 + 13 + 143
∴ AMRITA= 1+13 + 18 + 9 + 20 +1= 62
Ramesh Starts from his house in a car and goes 20 km to the west and then turns left to travel 15km. He again turns left to travel 35 km. He again turns left to move 15 km. How far is Ramesh from his house?

Solution
BC=AD=35km
Required distance
= DO = 35  20 =15 km
Directions :Choose the correct relation in the following Venn Diagrams.
Women Manager Pleader

Solution