1 .
A and B can complete a piece of work in 8 and 10 days respectively. However they work alternately one day each with A beginning the work. In how much time will the work be completed ?
$4 \over 5$ days
5$4\over 5$ days
8$4 \over 5$
6$4\over 5$

2 .
If the numberator of a fraction is increased by 800% and the denominator is increased by 300%. The resultant fraction is 1 $2\over7$ . What was the original fraction ?
$4 \over 7$
$11 \over 7$
$7 \over 11$
$4 \over 11$

3 .
The distance between places A and B is 999 kms. An express train leaves place A at 6 am and Runs at a speed of 55.5 km/hr. The train stops on the one the way for 1 hours 20 minutes. It reaches B at
1 : 20 am
12 : 00 pm
6 : 00 pm
11 : 00 pm

4 .
The angle of elevation of the top of a building from the top and bottom of a tree are xand y respectively. If the height of the tree is hmetres, then the height of the building is
$h cotx \over cot x - cot y$
$h cot^2 x \over cot x - cot y$
$h cotx \over cot x + cot y$
$h cot^2 x \over cot x + cot y$

5 .
If sin sec(30° + $\alpha$ ) = 1 and 0° < $\alpha$ < 60°, then the value of sin$\alpha$ + cos2$\alpha$ is -
1
$2 + \sqrt 3 \over 2\sqrt 3$
0
$\sqrt 2$

6 .
Pipe A can fill a tank in 10 hours, pipe B in 15 hours and pipe C can empty it in 20 hours. If all the 3 pipes are open together when will the tank be filled ?
5 hours
4$8 \over 13$ hours
8$4 \over 7$ hours
7 hours

7 .
X and Y can complete a job in 12 days. X alone can complete it in 16 days. Both of them work together for 4 days and then X left the work. How long will it take for Y to complete the remaining work ?
32 days
48 days
20 days
36 days

8 .
The marked price of an article is Rs. 150. If he allows a discount of 10%, he still gains a profit of 25%. The cost price of the article is
Rs.54
Rs.102
Rs.108
Rs.100

9 .
After allowing a discount of 12%, a trader made a profit of 10%. What profit percentage he would have got , if t here was no discount ?
22%
25%
21%
27%

10 .
If the simple interest on a sum of money at 5% per annum for 3 years is Rs. 1200. The compound interest on the same sum for the same period at the same rate is
Rs.1261
Rs.1263
Rs.1265
Rs.1267