BPSC PRELIMS BOOSTER MATH QUIZ

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Question 1:

Pipe A and Pipe B can fill a tank in 4 and 16 hours respectively. In how many hours they together can fill the tank.

Question 2:

What is the HCF of $\frac{15}{14}, \frac{12}{35}$ and $\frac{40}{49}$ ?

Question 3:

The HCF of two numbers is 6 and the LCM is 108, if one number is 12 then find the other number.

Question 4:

The LCM of 60 and 54 is.

Question 5:

What is the value of

$72 \div[38-\{30-(31-60 \div 4 \times 5)\}]=$

Question 6:

If a rope 154 meters long is divided in the ratio 9:5, then what will be the length (in metres) of the shorter piece?

Question 7:

A sphere of radius $9 \mathrm{~cm}$ is moulded to form a cylinder of radius $3 \mathrm{~cm}$. Find the height of the cylinder.

Question 8:

A man on a tour travels the first $120 \mathrm{~km}$ at $60 \mathrm{~km} / \mathrm{h}$ and the next $12 \mathrm{~km}$ at $80 \mathrm{~km} / \mathrm{h}$. What is the average speed of the journey?

Question 9:

A can complete a task in 8 days while B can complete it in 12 days. In how many days can C complete the task if all 3 of them together can complete it in 3 days?

Question 10:

At what rate will a sum of Rs. 1000 amounts to Rs. $1102.50$ in 2 years at compound interest?