Q1. Amit can complete a work in ‘D’ days while Deepak takes ‘D+1’ days to complete the same work. Mohit who is 40% less efficient than Deepak can complete the work with the help of Amit in 10/3 days. In how many days Amit & Deepak together can finish the work?
Q3. Profit earned on selling an article after giving 10% discount is 15% more than the profit earned when same article is sold at 20% discount. A loss of 15% was incurred on marked price by selling the article at Rs.2550. What should be the marked price such that even after giving 30% discount a profit of 40% can be earned?
(a) Rs 2600
(b) Rs 2400
(c) Rs 3000
(d) Rs 2800
(e) Rs 4000
Directions (4–5): Read the given information carefully & answer the questions.
The present age of Veer is 1.5 times the age of Shivam 4 years ago. 5 years hence, ratio of ages of Veer to Ayush is 7 : 6. Anurag is at least 2 years older to Shivam and at most 3 years younger to Veer. Veer is oldest among all. Sum of present ages of Ayush & Shivam is 49 years.
Q4. What can be the present age of Anurag? (in years)
A. 26 B. 27 C. 28 D. 29 E. 30
(a) B, C, D, E
(b) B, C, D
(c) A, B, C, D
(d) A, B, C, D, E
(e) none of these
Q5. Deepak who is 1 year older to Ayush says that after 4 years, ratio of his age to age of Anurag will be 15 : 16. What is difference between present ages of Anurag & Veer?
(a) 4 year
(b) 1 year
(c) 2 years
(d) 3 years
(e) 5 year
Q6. Pipe – P alone & Pipe – Q alone can fill same tank in 24 hours and in 15 hours respectively and another pipe – R alone can empty same tank in 20 hours. If pipe – P, Q & R are opened alternatively for an hour to fill the same tank in such a way that pipe – Q opened in 1st hour and then pipe – R (outlet) and then pipe – P, then find time taken to fill the tank?
(a) 51⅛ hours
(b) 52 hours
(c) 50⅜ hours
(d) 51⅕ hours
(e) 49 hours
Q7. Maanik and Shivam entered into a partnership by investing Rs.20000 and Rs.32000 respectively. After 4 months, Maanik increased his investment by 50% and after another 6 months Shivam increased his investment by 25%. If at the end of the year Shivam got a profit of Rs.30000, then find total profit?
(a) Rs.80000
(b) Rs.77000
(c) Rs.54000
(d) Rs.93000
(e) Rs.12000
Q8. Deepak invested Rs. P for 2 years in scheme – A at the rate of 18% p.a. on CI compounding annually and received a total amount of Rs.83544 from scheme – A. He then invested Rs.(P+X) in another scheme – B for 2 years at the rate 20% p.a. on SI. If he received Rs.30000 as interest from scheme – B, then find X?
(a) Rs 24000
(b) Rs 28000
(c) Rs 12000
(d) Rs 22000
(e) Rs 15000
Q9. Deepak has two solutions – P & Q of wine and rum. Type-P contains 60% wine and type-Q contains 45% wine. If Deepak mixed 35 ml type-P solution with 200 ml type-Q solution to form another solution of wine and rum, then find approximate percentage of rum in the newly formed solution.
(a) 53%
(b) 63%
(c) 61%
(d) 58%
(e) 57%
Q10. If upstream speed of a boat is 60% of downstream speed of the boat and boat takes total 10 hours and 40 minutes to cover 120 km each in downstream and in upstream, then find time taken by same boat to cover 300 km in upstream?
(a) 18⅓ hours
(b) 20⅔ hours
(c) 15⅓ hours
(d) 16⅔ hours
(e) 21⅓ hours
Q11. A shopkeeper manufacture 12 models of cups while 10 models of saucer. In how many ways can a set of 6 pieces each of cup & saucer be completed?
(a) 194040
(b) 190440
(c) 19404
(d) 19040
(e) 646646
Q12. Interest earned by Ramesh on Rs 10000 for 2 years at R% p.a. simple interest is how much more/less than interest earned by him on Rs 8000 for 2 years at (R+10)% p.a. compounding annually. If Rs 2000 is invested at 2R% p.a. simple interest for a year, then it would fetch an interest of Rs 400.
(a) Rs 1220
(b) Rs 1000
(c) Rs 1520
(d) Rs 930
(e) Rs 1140
Q13. Ram & Mohan entered into a partnership with capitals in ratio 5 : 7 respectively. After 6 months, Gita joined them with Rs 5000. After another 3 months, Ram withdrew 40% of what he had invested earlier. At the end of year, Mohan get Rs 2800 out of total profit of Rs 5600. Find difference in amount invested by Ram & Mohan in the starting.
(a) Rs 1800
(b) Rs 2000
(c) Rs 5000
(d) Rs 1000
(e) Rs 800
Q14. Total age of a family of eight people is 231 years. Three years later, one member died at the age of 60 years and a child was born during the same year. After another three years, one more member died, again at 60, and a child was born during the same year. Find the average age of all the members of the family, after another 4 years later?
(a) 23.275 years
(b) 22.475 years
(c) 21.675 years
(d) 22.275 years
(e) 23.875 years
Q15. A shopkeeper while purchasing sugar from the wholesaler, manages to receive 25% more sugar than the quantity for which he pays. While selling sugar to the customers he sold 16⅔% less than the quantity for which the customers pay. If he claims to sell sugar at the cost price, then find his net profit percentage?
(a) 150%
(b) None of these
(c) 60%
(d) 37.5%
(e) 47.5%
Solutions