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Question 1:

Suraj travels 124 km at a speed of 31 km/h by bus, 96 km at a speed of 16 km/h using a car, and another 105 km at 7 km/h by car. Find his average speed for the entire distance travelled.

Question 2:

The ratio of boys and girls in a school is $6 : 7$ . If the total number of students in the school is $3289$, then what is the number of girls?

Question 3:

In a bag, white mobile covers and black mobile covers are in the ratio of 4 : 7. If there are 280 black mobile covers, then how many white mobile covers are there in the bag?

Question 4:

The price of an article increases by 5% every year. If the difference between its price at the end of the second and the third year is Rs.52.50, then what will be its price at the end of the first year.

Question 5:

If the difference between two numbers is 5 and the difference between their cubes is 1850 , then the difference between their squares is:

Question 6:

A man takes 16 days to complete a project. A woman does the same work in 12 days. They started the work together on alternate days and the man worked on the first day. How much time will they take to complete the work?

Question 7:

What is the least 6-digit number that is divisible 71 ?

Question 8:

Simplify the following expression.

$\left(3 \frac{2}{3} \text { of } \frac{3}{4}-\frac{1}{4} \text { of } \frac{4}{3}\right) \div\left(\frac{1}{4} \div \frac{3}{2}\right)+1 \frac{1}{2}$

Question 9:

An article is sold for Rs. 372 after two successive discounts of $25 \%$ and $38 \%$ on its marked price. Total discount (in Rs.) is:

Question 10:

If $x-y-z=0$, then the value of $\left(x^{2}+y^{2}+z^{2}\right) \div\left(y^{2}+x z\right)$ is: