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

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 ?

A. $4 \over 5$ days

B. 5$4\over 5$ days

C. 8$4 \over 5$

D. 6$4\over 5$

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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 ?

A. $4 \over 7$

B. $11 \over 7$

C. $7 \over 11$

D. $4 \over 11$

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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

A. 1 : 20 am

B. 12 : 00 pm

C. 6 : 00 pm

D. 11 : 00 pm

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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

A. $h cotx \over cot x - cot y$

B. $h cot^2 x \over cot x - cot y$

C. $h cotx \over cot x + cot y$

D. $h cot^2 x \over cot x + cot y$

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

A. 1

B. $2 + \sqrt 3 \over 2\sqrt 3$

C. 0

D. $\sqrt 2$

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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 ?

A. 5 hours

B. 4$8 \over 13$ hours

C. 8$4 \over 7$ hours

D. 7 hours

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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 ?

A. 32 days

B. 48 days

C. 20 days

D. 36 days

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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

A. Rs.54

B. Rs.102

C. Rs.108

D. Rs.100

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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 ?

A. 22%

B. 25%

C. 21%

D. 27%

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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

A. Rs.1261

B. Rs.1263

C. Rs.1265

D. Rs.1267

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