ssc cgl tier 1 :: quantitative aptitude :: qa test 83

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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$4\over 5$ View Answer Discuss in Forum

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 ?
$4 \over 7$
$11 \over 7$
$7 \over 11$
$4 \over 11$ View Answer Discuss in Forum

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 View Answer Discuss in Forum

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
$h cotx \over cot x - cot y$
$h cot^2 x \over cot x - cot y$
$h cotx \over cot x + cot y$
$h cot^2 x \over cot x + cot y$ View Answer Discuss in Forum

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
$\sqrt 2$ View Answer Discuss in Forum

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 View Answer Discuss in Forum

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 View Answer Discuss in Forum

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 View Answer Discuss in Forum

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% View Answer Discuss in Forum

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 View Answer Discuss in Forum ssc online