Quantitative Aptitude - Arithmetic Ability Questions

What is the simplified value of (1– sin A cos A)(sin A + cos A)?

If a-b=1 and a3-b3 = 61, then the value of ab will be

There are 90 coins, comprising of 5 and 10 paisa coins. The value of all the coins is Rs. 7. How many 5 paisa coins are there?

According to the will the wealth of Rs 21,25,000 was to be divided between the son and the daughter in the ratio 7/6 : 5/3. How much did the son get (in Rs)?

Tapas, Avi and Rishi shared a cake. Tapa had 1/2 of it, Rishi had 1/3 of it, and Avi had the rest. What was Avi's share of the cake?

In what ratio must a mixture of 20% milk strength be mixed with that of 60% milk strength so as to get a new mixture of 25% milk strength ?

In two types of brass, the ratios of Copper to Zinc are 8:3 and 15:7 respectively. If the two types of brass be melted and mixed in the ratio 5:2 a new type of brass is obtained. The ratio of Copper to Zinc in this new type of brass is

If selling price of 39 articles is equal to the cost price of 42 articles, then what will be the profit percentage?