UP POLICE MATHS QUIZ-26

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Question 1:

The ratio of speeds of two cars of $10: 11$. If the first car travels a distance of $500 \mathrm{kms}$ in 10 hours, what is the speed of the second car?

Question 2:

The marked price of a toy was Rs 1800. Two successive discounts of $20 \%$ and $15 \%$ were given during the sale. What will be the selling price of the toy?

Question 3:

Darbhanga has a population of 80,000. At the end of the year it was observed that male population increased by 20% and female population increased by 40% due to which total population of Darbhanga increased by 35%. Find the number of females.

Question 4:

Aman, Shubham and vikash can fill a tank in 20 days, 30 days and 15 days respectvely. In how many days Shubham and vikash together can fill the whole tank?

Question 5:

Rishika and Akash invested some money in partnership. Rishika invested Rs. 1875 and got Rs. 225. If Akash as his share from the profit earned Rs. 288, then what amount did Akash invest?

Question 6:

At what, rate per annum will RS. 32000 yield a compound interest of Rs.5044 in 9 months interest being compounded quarterly?

Question 7:

Simplify the expression:

$ 4 \times 2 \div(2+4 \times 2 \div 4)+7-6 $

Question 8:

Speed of a boat in still water is $8 \mathrm{~km} / \mathrm{h}$ and speed of stream is $4 \mathrm{~km} / \mathrm{h}$. Find time taken by boat to cover $30 \mathrm{~km}$ going downstream and returning in opposite direction.

Question 9:

Arrange the numbers in descending order.

$ \frac{2}{23}, \frac{5}{45}, \frac{6}{28}, \frac{3}{13} $

Question 10:

If $(10 x+5):(42 x+8)$ is the triplicate ratio for $5: 8$, find $x^{3}$