**Q1. Sam is 20% less efficient than Anu & both complete the work together in 20 days. If another person Mohit takes 10 days more than Anu and Sam together to complete the same work. Then find in how many days all three complete the work together?**

(a) 10 days

(b) 18 days

(c) None of these

(d) 12 days

(e) 15 days

**Q2. A, B and C alone can finish a work in 10, 12 and 15 days respectively. They managed to complete ⅓ rd of the work in 3 days. Now they decided to take a leave of 1 day and work alternatively either in pair or individually. Then find the minimum number of days required to finish that task (Given, all of them do not work together)**

**Q3.A contractor gives a contract to ‘X’ for building a wall in 8 days. After 2 days of starting of work he realizes that he will be able to finish 64% of work in the contracted time, so he invite Y and Z due to which they complete the work on 6 ^{th} day from starting. At the end, if ratio of money received by X, Y and Z is 12 : 8 : 5 then find in how many days Z can alone complete the work?**

(a) 15 days

(b) 16 days

(c) 29 days

(d) 20 days

(e) None of these

**Q4. A & B together can complete a work in while B & C together can complete the same work in . A alone starts work and after 8 days B replaced him. B did the work for next 12 days and the remaining work is completed by C in next 5 days, then find time taken by A, B & C together to complete that work, if C work with 50% of his usual efficiency?**

** Q5. A contractor was given a contract of completing a task in 60 days. He hired 40 men for completing the task. At the end of 36 days, he realized that only 50% task has been completed. So, in order to complete the task in the contracted time he hired more men. How many more men are hired by contractor to complete the task in contracted time?**

(a) 20 men

(b) 18 men

(c) 25 men

(d) 12 men

(e) 16 men

**Q6. A & B can complete a piece of work in 20 days. They both start working together and after 8 days, A got ill. Due to A’s sickness, A’s efficiency falls down by 40% and thus the total work completed in 24 days, then find in how many days B alone can complete the remaining work after A got sick.**

(a) 31 days

(b) 34 days

(c) 20 days

(d) 32 days

(e) None of the above.

**Q7. Anurag & Ayush together can do a work in , while Veer alone can do the same work in ______ hours. Anurag & Veer start same work together and after four hours Anurag left the work, while Veer alone worked for three more hours, after that Ayush joined Veer and both complete the remaining work in _____hours. Ayush & Veer can complete the same work together in while efficiency of Anurag is 25% more than Ayush. Find the value of the blanks.**

(a) 20 & 5

(b) 18 & 6

(c) 18 & 5

(d) 18 & 8

(e) 20 & 6

**Q8. Arun daily works for X hours and earns Rs Y per hour. For each hour he works in excess of X hours, he is paid two times of his original rate. One day he works for Z hours and the amount he is paid on that day is Rs 1200 more than his daily amount. Find the possible value of (Z,X) if Y is either 100 or 150?**

**(i)12,8**

**(ii)10,4**

**(iii)9,5**

**(iv)13,7**

**(v)17,13**

(a) Only (i) and (iii)

(b) Only (ii)and (iv)

(c) Only (ii) and (v)

(d) Only (i),(iii) and (v)

(e) All of the above

**Q9. Simple interest for a period of two year is given as Rs. 1800 and the difference between CI and SI for two years is Rs. 270. Find the CI for three years given that sum is same and rate of interest is also same? **

(a) None of these

(b) Rs. 3551

(c) Rs. 3135

(d) Rs. 2721

(e) Rs. 3591

**Q10. Shivam invested Rs 3 lac in a scheme which is providing interest rate of ‘r’% per annum at CI and this scheme doubles the sum invested in which is two times of rate of interest provided by the scheme. Find the total amount received by Shivam at the end of 48 years (in lac)?**

(a) 45

(b) 50

(c) 64

(d) 32

(e) 48

**Q11. Prashant invested certain amount at 12% p.a. SI and at 20% p.a. CI compounding annually for 3 years and 2 years respectively and amount invested by him at SI is Rs.4000 more than amount invested by him at CI. If difference of SI received and CI received is Rs.1040, then find amount invested by him at SI is what percent of amount invested by him at CI.**

(a) 200%

(b) 180%

(c) 150%

(d) 220%

(e) 110%

**Q12. Arun invested Rs. ‘p’ in a scheme for 2 years which offered simple interest at the rate of 22.5% per annum and Pinki invested Rs. (p + 4000) in another scheme for same period of time on C.I. at the rate of 15% per annum. If Arun got Rs 750 more as the interest then find the average of amount invested by them?**

(a) Rs 15,000

(b) Rs 16,000

(c) Rs 14,000

(d) Rs 18,000

(e) Rs 20,000

**Q13. Amar invested a sum of Rs 2000 in a business with Akbar who invested Rs ‘X’. After 4 months, Anthony joined them with Rs ‘2X’. After another 4 months, Amar withdrew half of his investment while Anthony invested Rs ‘X+1000’ more. At the end of the year, Akbar got Rs 18000 out of total profit of Rs 60000. If Amar & Akbar re-entered into another partnership with Rs ‘X+2000’ & Rs ‘X-1000’ respectively then find profit ratio at end of year.**

(a) 3 : 2

(b) 5 : 2

(c) 5 : 4

(d) 4 : 1

(e) None of these

**Q14. A certain amount is invested in a scheme at CI of ‘p’% per annum compounded annually for ‘r’ years. Equal amount is invested in another scheme at CI of ‘q’% per annum compounded half-yearly for the same time period. If the interest earned from both schemes at the end of r years is same then which of the following can be the value of ‘p’ and ‘q’ if both are integers?**

**(i) 20,24**

**(ii) 24,30**

**(iii) 44,40**

**(iv) 21,20**

**(v) 12,16**

(a) Only (ii) and (iv)

(b) Only (i),(ii)and (iv)

(c) Only (ii) and (iii)

(d) Only (iii) and (iv)

(e) Only (i),(ii) and (v)

Q15. A man invested in two different schemes A & B and investment in scheme A is 25% more than that of scheme B. Scheme A offered SI at the rate of (R – 2.5)% for two year while scheme B offered SI at the rate of (R + 5)% for three years and ratio of interest received by man from scheme A to that of scheme B is 5 : 12. Find the interest received by man, if he will invest Rs 2250 at the rate of 2R% per annum on CI for two years?

(a) 920 Rs

(b) 990 Rs

(c) 960 Rs

(d) 900 Rs

(e) 850 Rs

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