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Question 1:

Two trains whose lengths are 450 metres and 300 metres are moving towards each other at the speed of 162 km/hr and 108 km/hr respectively. If distance between trains is 300 metres, then in how much time, these trains will cross each other?

Question 2:

$\frac{\sin 2 \theta-\sin \theta}{1+\cos 2 \theta-\cos \theta}=\ldots \ldots$

Question 3:

What is the compound interest occurred on an amount of Rs. 12000 at the rate of $9 \%$ per annum at the end of 2 years?

Question 4:

A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days A alone can finish the remaining work?

Question 5:

₹8,505 is divided among $P, Q$ and $R$ with their shares in the ratio of $1 \frac{1}{3}: 1$ $\frac{3}{4}: 2 \frac{1}{6}$. What is the difference of $P$ and $R$ 's shares (in ₹ )?.

Question 6:

Find the greatest number of four digits which is divisible by 14,30 and 42 .

Question 7:

The HCF of 3073,1756 and 4829 is $x$. The product of the digits of $x$ is:

Question 8:

The salaries of Ravi and Sumit are in the ratio 4: 5. If the salary of each is increased by ₹ 6,000 the new ratio becomes 35: 40. What will be Sumit's increased salary?

Question 9:

A field is in the form of a rectangle of length $18 \mathrm{~m}$ and width $15 \mathrm{~m}$ deep, in a corner of the field a pit is dug of area $7.5 \times 6$ and $0.8 \mathrm{~m}$ deep and the earth taken out is evenly spread over the remaining area of the field. The level of the field raised is:

Question 10:

If the simple interest on a certain sum of money borrowed for 4 years at $8.5 \%$ per annum exceeds the simple interest on the same sum for 3 years at $10.5 \%$ per annum by Rs. 1000 , then the sum borrowed is: