Question
Statements: All schools are colleges. No
college is an institute. Conclusions: I. Some colleges are not institutes. II. Some schools are institutes. In each question below are given two statements followed by two conclusions numbered I and II. You have to take the two given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.Solution
No college is a institute (E) ⇒ I.I. ⇒ Some colleges are not institutes (O). Hence, conclusion I will follow. A + E = E ⇒ I.I. ⇒ O. Hence, conclusion II will not follow. Alternate Method: 
Three Jar of equal volume contains milk mixed with water. The ratio of milk and water are 2:1, 2:3 and 4:5 respectively. Contents of these Jars are pour...
A tank A holds 320 litres of a milk–water mixture in the ratio 13:x. If 50 litres are transferred from A to B and then 15 litres of water are added to...
A merchant combines 9 kg of pulses at Rs. 6 per kg with 3 kg at Rs. 2 per kg. What is the cost price (in Rs.) of the mixture per kg?
Quantity of water in a 300 litres mixture (Milk + Water) is 60 litres less than the quantity of milk in it. Find the quantity of water to be mixed so th...
A container holds a mixture of two liquids, A and B, in the ratio 2:3. If the total volume of the mixture is 70 liters, how many liters of liquid A must...
A vessel contains 200 litres of milk and water in the ratio of 5:3. If 10 litres of milk is added to the mixture, then find the ratio of milk to water i...
A shopkeeper blends 5 kg of coffee at Rs. 12 per kg with 7 kg at Rs. 8 per kg. What is the cost price (in Rs.) of the mixture per kg?
A fuel tank at a depot has a capacity of 500 liters. The attendant sells 50 liters of diesel to one customer and then refills the...
2 Kg of sugar at Rs 30 per Kg is mixed with 3 Kg of 2nd type of sugar to get a mixture costing Rs 46 per Kg. Find the price of the costlier sugar
A shopkeeper blends 10 kg of tea at Rs. 8 per kg with 5 kg of tea at Rs. 4 per kg. What is the cost price (in Rs.) of the mixture per kg?