UP CONSTABLE QUANT QUIZ-6

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Question 1:

The HCF and LCM of two natural numbers are 12 and 72 , respectively. What is the difference between the two numbers, if one of the numbers is 24 ?

Question 2:

What is the least number that must be added to 9600 to make if a perfect square?

Question 3:

The ratio of present ages of Prakash and Sohan is 5 : 3. If the present age of Sohan is 27 years, then what will be the age of Prakash after 3 years?

Question 4:

A train 300 meter long passes a stone in 30 second and another train of the same length travelling in opposite direction in 10 seconds. The speed of $2^{\text {nd }}$ train is.

Question 5:

Rama's expenditure and savings are in the ratio $3: 2 .$ His income increases by $10 \%$. His expenditure also increases by $12 \%$. His savings increases by ?

Question 6:

65% of the total candidates who appeared for an examination were boys. 28% of the boys and 16% of the girls failed and 702 boys passed. How many girls passed?

Question 7:

The average of 12 number is 39 . The average of last 5 number is 35 , and that of the first four number is 40 . The fifth number is 10 less than the sixth number and 7 more than the seventh number. The average of the fifth and sixth number is:

Question 8:

The volume of a right circular cone is $924 \mathrm{~cm}^{3}$. If its height is $18 \mathrm{~cm}$, then the area of its base (in $\mathrm{cm}^{2}$ ) is :

Question 9:

A solid metallic right circular cylinder has diameter $20 \sqrt{5} \mathrm{~cm}$ and height $64 / 3 \mathrm{~cm}$. It is melted and recast into a solid sphere. What is the diameter (in $\mathrm{cm}$ ) of the sphere?

Question 10:

A alone can do a piece of work in 24 days. The time taken by A in completing $\frac{1}{3}$ of the work is equal to the time taken by B in completing $\frac{1}{2}$ of the work. At what time will A and B together complete the work ?