**Direction (1 –5): Line graph given below shows percentage of a tank filled by each pipe and bar graph shows hours taken by each pipe to do fill that part of tank.**

**Q1. Pipe P and pipe T Start filling the tank together and fill it for ‘t’ hours after that both pipes replaced by R and S, who fill for next (t + 2) hours and 50/9% of total tank still unfilled. If pipe A can fill with the efficiency of (t + 2) unit/hours, then find the time taken by pipe A to fill tank alone?**

(a) 36 hours

(b) 24 hours

(c) 30 hours

(d) 39 hours

(e)45 hours

**Q2. Pipe Q and T start filling tank alternatively starting with pipe Q and fill the tank for 25 hours, after that both are pipe replaced by pipe P and R and both pipe start filling alternatively starting with pipe R. Find in how much time remaining tank will be filled? **

(a) 28⅙ hours

(b) 33⅙ hours

(c) 46⅓ hours

(d) 38⅙ hours

(e) 42⅓ hours

**Q3. Pipe P and S start filling the tank together and fill it for y hours, after that pipe Q fill for (y – 4) hours and remaining tank filled by pipe T in (y – 10) hours. If all four pipes P, Q, S & T for (y – 3) hours together, then what portion of tank will be unfilled? **

(a) 1/36

(b) 1/124

(c) 1/128

(d) 1/144

(e) 1/148

**Q4. If for first 15 hours pipe P start filling with its 25% less efficiency and pipe S fill the tank with 33⅓% more its efficiency together and remaining tank filled by another pipe B in 57 hours. Find in how much time pipe B can fill the tank alone? **

(a) 102 hours

(b) 128 hours

(c) 108 hours

(d) 144 hours

(e) 162 hours

**Q5. Five pipes P and T, Q and R and S work alternatively in such a manner that on first hour P and T fill together, on second hour Q and R fill together and third hour S fill alone, find in how much time whole tank will be filled? **

(a) 54 ¾ hours

(b) 33 ¼ hours

(c) 22 ½ hours

(d) 36 ¼ hours

(e) 42 ¾ hours

**Direction (6 -10): A, B and C are three persons who each invested some amount in three different schemes (X, Y and Z). Data tells about amount invested and time of investment by them. Study the data carefully & answer the following questions.**

Amount invested by A in scheme ‘X’ is 50% of amount invested by C in the same scheme. B invested Rs 40,000 in scheme ‘X’ and time for which he invested in scheme ‘X’ is five months more than time for which A invested in the same scheme. Ratio of amount invested by A and C in Scheme ‘Z’ is same as ratio of amount invested by A and C in scheme ‘X’. B invested 10,000 less in scheme ‘Z’ than that of amount invested by C in scheme ‘Z’.

Time of investment of B and C is same in scheme ‘Y’. Amount invested by B in scheme ‘Y’ is 4% less than amount invested by A in scheme ‘Y’. C invested Rs 50000 more than B in scheme ‘Y’. A invested 40% less in scheme ‘X’ than that of amount invested by him in scheme ‘Y’. Ratio of amount invested by C in scheme ‘X to scheme ‘Y’ is 15 : 22.

Out of total profit earned from scheme ‘Y’, C got 50%. Ratio of profit share of A and B is 3 : 4 in scheme ‘Z’, while time of investment of A and B in scheme ‘Z’ is 4 : 3. C invested for ten months in scheme ‘Z’.

A got 25% of total profit both in scheme ‘Z’ as well as in scheme ‘X’. Time of investment of A in scheme ‘X’ is two months less than that of in scheme ‘Z’. A invested for sixteen months in scheme ‘Y’

**Q6. B and C both invested same amount they invested in scheme ‘Y’ in two different schemes i.e, P1 and P2 respectively. P1 and P2 offers 20% p.a at C.I and 25% p.a at S.I respectively. Find the difference between interest earned by both after two years?**

(a) Rs. 28,800

(b) Rs. 28,900

(c) Rs. 28,000

(d) Rs. 28,100

(e) Rs. 28,600

**Q7. If C earned Rs. 14,490 profits from scheme ‘Z’ and ratio between profit earned by C from scheme Z and X is 9 : 4 , then find total profit earned by A from scheme ‘X’ and ‘Z’ together? **

(a) Rs. 15674

(b) Rs. 13294

(c) Rs. 14324

(d) Rs. 14966

(e) Rs. 15022

**Q8. If scheme ‘Y’ offers S.I. at the rate of 15% p.a, then find interest earned by A? **

(a) Rs 13250

(b) Rs 14500

(c) Rs 14000

(d) Rs 12500

(e) Rs 13750

**Q9. Amount invested by C in scheme ‘Z’ is what percent more than amount invested by A in scheme ‘X’? **

(a) 140%

(b) 100%

(c) 144%

(d) 50%

(e) 20%

**Solutions**