BPSC PRELIMS MATH QUIZ -3

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Question 1:

A train can cover a distance in 12 hours moving at a speed of $85 \mathrm{~km} / \mathrm{hr}$. By what percent should it increase its speed to cover the same distance in $7 \frac{1}{2}$ hours?

Question 2:

A sum of money at rate of 10.5 %  p.a compounded annually, gives $11161.7625$ rupees as compound interest in 2 years. Find the sum. (in rupees)

Question 3:

A boat goes upstream at a speed which is $66 \frac{2}{3} \%$ of its speed in downstream. If the speed of boat in downstream is $21 \mathrm{~km} / \mathrm{hr}$, then find the time taken by boat to cover $105 \mathrm{~km}$ in still water. (in hours)

Question 4:

The cost price of an article is $75 \%$ of its marked price. How much percent does a shopkeeper gain if he gives a discount of $18 \%$ on the article?

Question 5:

A does $\frac{3}{5}$ of work in 12 days then B joined him and together they completed the remaining work in 5 days. In how many days can B alone finish $45 \%$ of the whole work?

Question 6:

What should come in place of question mark (?) in the following question?

$1598-726+1123-329=?+966$

Question 7:

Ratio of speed of a boat in upstream  to its speed in downstream is $3: 7$. If speed of boat in still water is $35 \mathrm{~km} / \mathrm{hr}$, then, find the distance covered by the boat in upstream in 8 hours ? (in km)

Question 8:

$2 \cos \theta+\sec \theta-2 \sqrt{2}=0$, where $\theta$ is an acute angle. Find the value of $\theta$.

Question 9:

What is the smallest number by which if 675 is multiplied, the product becomes a perfect cube?

Question 10:

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