NPAT Common 2020 QP2

The value of $$\frac{0.\overline{0.9}\times 0.\overline{7}}{0.\overline{63}\times 3.\overline{6}}+0.\overline{27}(0.8\overline{3}\div 0.1\overline{6})$$ is:

What 1s the value of $$\frac{4\times(2.83)^{2}-3\times2.96\times2.22}{(2-0.78)\times(5.05)}=$$ ?

The sum of the first 10 terms of the series $$\frac{7}{3}+\frac{7}{15}+\frac{1}{5}+\frac{1}{9}+... \text{ }is\text{ } \frac{a}{b}$$,where HCF(a b) = 1. What is the value of |a-b| ?

Let $$x=\sqrt{-4\sqrt{2}+\sqrt{17(-\sqrt{2})^{2}+2}}$$. If $$\frac{1}{x}=a+b\sqrt{2}$$, then what is the value of (a - b)?

In a year, out of 160 games to be played, a cricket team wants to win 80% of them. Out of 90 games already played, the success rate is $$66\frac{2}{3}$$%. What should be the success rate for the remaining games in order to reach the target?

A shopkeeper has two varieties of rice A and B. By selling A at ₹75 per kg, he loses 20%; and by selling Bat ₹90 per kg, he gains 25%. If he mixes A and B in the ratio 4: 5 and sells the mixture at ₹ll0.25 per kg, then his profit percentage is:

Shikha sells an article for ₹253, after giving 12% discount on its marked price. Had she not given any discount, she would have earned a profit of 25% on the cost price. What is the cost price of the article?

The ratio of the number of boys and the girls in a group is 5 : 8. If 4 more girls join the group and 5 boys leave the group, then the ratio of the number of boys to the number of girls becomes 1 : 2. Originally, what was the difference between the number of boys and girls in the group?

A person borrows a sum of ₹10,920 at 10% p.a. compound interest and promises to pay it back in two equal annual instalments. The interest to be paid by him under this instalment scheme is:

Two persons A and B start moving at the same time towards each other from points x and y, respectively. After crossing each other, A and B now take $$4\frac{1}{6}$$ hours and 6 hours, respectively, to reach their respective destinations. If the speed of A is 72 km/h, then the speed (in km/h) of B is: