NPAT 27th June 2021 Shift 1

The value of $$\frac{(9\times0.81 - 4 \times 0.64)}{(3\times 0.9 + 2\times0.8)\times(9\times0.81+4\times0.64-12\times0.72)}$$ lies between:

What is the value of $$\frac{(1.5)^{4}+(1.2)^{4}+3.24}{(1.5)^{2}+(1.2)^{2} - 1.8}$$?

The value of $$\sqrt{1+\frac{\sqrt{3}}{2}}-\sqrt{1-\frac{\sqrt{3}}{2}}$$ is:

The sum of the first 20 terms of the series: $$ 2^{2}+5^{2}+8^{2}+...., $$ Is:

A vessel contained a solution of acid and water in which water was 64%. Four litres of the solution were taken out of the vessel and the same quantity of water was added. If the resulting solution contained 30% acid, then the quantity (in litres) of the solution, in the beginning in the vessel, was:

A trader sells an article at a profit of 10%. If he had bought it for 25% less and sold for ₹20 more over the actual selling price, he would have gained 60%. What is the original cost price (in ₹) of the article?

A shopkeeper marks an article at such a price that after giving a discount of $$12\frac{1}{2}$$ on the marked price, he still earns a profit of 15% . If the cost price of the article is ₹385, then the marked price (in ₹) of the article will be:

The ratio of the incomes of A and B in 2019 was 5:4. The ratio of their individual incomes in 2019 and 2020 were 4:5 and 2:3, respectively. If the total income of A and B in 2020 was ₹7,05,600, then what was the income (in ₹) of B in 2020?

A loan of ₹ 1,02,000 is to be paid back in two equal annual instalments. If the rate of interest is 4% p.a., compounded annually, then the total interest charged (in ₹) under this instalment plan is:

A train travelling at a speed of 72 km/h crosses another train, having double its length and travelling in the opposite direction at a speed of 54 km/h, in 12 s. It also passes a tunnel in 40 s. What is the length (in m) of the tunnel?