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Quantitative Aptitude Quiz For IBPS PO Mains 2022- 12th November

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.

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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%

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