DELHI POLICE QUANT QUIZ-8

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Question 1:

The average of 14 numbers is $73.5$. If two numbers 60 and 63 are replaced by 58 and 70 and one more number $x$ is included, then the average of the numbers now increases by $1.5$. What is the value of $x$ ?

Question 2:

By selling an article for $\frac{9}{16}$ of its selling price, the trader incurs a loss of $25\%$. If that article is sold for $15\%$ less than its original selling price, what will be the profit percentage?

Question 3:

A sum of money, compounded annually, doubles itself in 5 years at compound interest. In how many years will it become four times?

Question 4:

The volume of a cone is $144 \pi$ cm$^{3}$. If its height is twice the radius of its base, then what will be the curved-surface area (in cm$^2$) of the cone?

Question 5:

In an examination, Radha scored $20 \%$ of marks and failed by 10 marks. Seeta scored $30 \%$ of marks, which is 20 marks more than the pass mark. The total marks of the examination are:

Question 6:

The value of $(0.5 \overline{8} \div 0 . \overline{53}) \times \frac{5}{33}+\frac{10}{21} \div 1 \frac{1}{14}$ of $\frac{5}{3}-\frac{5}{3} \times \frac{1}{10}$ is:

Question 7:

In an examination, Radha scored $20 \%$ of marks and failed by 10 marks. Seeta scored $30 \%$ of marks, which is 20 marks more than the pass mark. The total marks of the examination are:

Question 8:

A person covered a certain distance at some speed. Had he moved 6 km/h faster, he would have taken 30 minutes less. If he had moved 4 km/h slower, he would have taken 30 minutes more. What is his original speed (in km/h) ?

Question 9:

In a class, 20% of the students are under 10 years of age. The number of students who are more than 10 years old is one third of the number of students who are 10 years old. If there are 24 students who are 10 years old, then how many students are there in the class?

Question 10:

A can do a work in 40 days and B can do the same work in 50 days. They worked together for 5 days and then B left the work. In how many days will A finish of remaining work?