For the following questions answer them individually
In a college election, the winning secretarial candidate got 69% of the votes and won 342 votes more than his rival. The total number of smdenrs in the college is:
The average weight of a certain number of children in a group was 31 kg. If 11 children of average weight 32.5 kg joined the group, then the average weight of all the children would increase by 0.25 kg. The number of children initially in the group was:
Find the value of $$3 + \left(1 + \frac{1}{2} - \left\{3 - \left(8 \div 2\right)\right\} + \frac{1}{3} + \frac{2}{5}\right)$$
Pipe A is a filling pipe while B and C are emptying pipes. Pipe A alone can fill the tank in 10 hours and pipe B alone can empty two-third part of the tank in 20 hours. If all the three pipes are opened together, the tank is completely filled in 40 hours. In how many hours can C alone empty two-third part of the tank?
A person walking at a speed of 7.2 km/h and crosses a bridge in 25 minutes. Find the length of the bridge (in metres).
From a basket full of eggs, 20% of the eggs broke, 8% were rotten and 24% were kept aside for baking a cake. The remaining 12 eggs were consumed by some people. How many eggs were there in the basket initially?
Amarnath invested a sum of ₹22,500. At what rate of simple interest per annum will he obtain a total amount of ₹28,800 at the end of 4 years?
A certain sum of money amounts to ₹12,144 at simple interest in 4 years and to ₹3,984 in $$6\frac{1}{2}$$ years. The rate of interest is: