NTPC CBT 2 QUANT QUIZ 1

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Question 1:

A can cultivate $\frac{1}{3}$ rd of a land in 18 days and B can cultivate $\frac{3}{5}$ th of the same land in 27 days. In how many days, working together both farmer can cultivate $\frac{22}{9}$ of the land.

Question 2:

If $x=5-\frac{1}{x}$ then what is value of $x^{2}+\frac{1}{x^{2}}$.

Question 3:

A train travels $600 \mathrm{~km}$ in 5 hours and the next $900 \mathrm{~km}$ in 10 hours. What is the average speed of the train?

Question 4:

The sum of the reciprocals of two alternate natural numbers is $\frac{7}{24}$. What is the sum of the numbers?

Question 5:

An article is sold at $20 \%$ profit instead of $8 \%$ loss, the man gains Rs. 84 more. What is the cost price (in Rs) of that article?

Question 6:

A train 270 metres long is running at a speed of 36 kilometer per hour, then it will cross a bridge of length 180 metres in:

Question 7:

The ratio of two numbers $A$ and $B$ is $2: 3 .$ If 7 is added to the $\mathrm{A}$ and 12 is subtracted from $\mathrm{B}$ , then the ratio of $\mathrm{A}$ and $\mathrm{B}$ becomes $7: 6 .$ The sum of $\mathrm{A}$ and $\mathrm{B}$ is:

Question 8:

The ratio of present age of Ram and Shyam is $6: 5$. After 19 years the ratio of their ages will 11 : 10. What is Ram's present age.

Question 9:

The value of $9 \times[(9-4) \div\{(8 \div 8$ of 4$)+(4 \div 4$ of 2 ) $\}$ ] is:

Question 10:

If $85 \%$ of a number is added to 90, then the result is the number itself. The number is: