Mathematics Question and Answer for Exams

If average of 20 observations x₁ , x₂ , ....., x₂₀ is y, then the average of x₁ – 101, x₂ – 101, x₃ – 101, ....., x₂₀ –101 is

12 kg of rice costing 30 per kg is mixed with 8 kg of rice costing 40 per kg. The average per kg price of mixed rice is

Gagan started a business and Michael joined him after 2 months. Gagan spent Rs.15000 while Michael spent Rs.27,000. Their one year profit came out to Rs.5000. How much profit will Gagan get?

A sum of Rs.10600 is divided among P, Q, R in such a way that P gets Rs.1400 more than what Q gets and Q gets Rs.1600 more than what R gets. The ratio of their shares is

The marked price of a Bike was Rs.22500. After allowing two successive discounts, it was sold for Rs.17595. If the second discount was 8%, then what was the first discount?

A double bed is marked at Rs. 7500. The shopkeeper allows successive discounts of 8%, 5% and 2% on it. What is the Net selling price?

The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the number is:

A number divided by 68 gives the quotient 269 and remainder zero. If the same number is divided by 67, the remainder is:

If pq+qr+rp=0 then find the value of $$ {p^{2}\over {p^{2}-qr}}+{q^{2}\over {q^{2}-rp}}+{r^{2}\over {r^{2}-pq}}$$

If $$ {x+{1\over x}=\sqrt{3}}$$ then $$ {x^{48}+x^{378\over7}+x^{726\over11}+x^{60}}$$ is equal to