SSC CGL Tier 1 :: QA Test 83
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SSC CGL Tier 1 Quantitative Aptitude Questions and Answers Online Test 83

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Exercise

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