Q1. A mixture contains milk and water in the ratio of 9 : 2. 44 lit of mixture is taken out and 12 lit of water is added to it, such that ratio of milk to water becomes 3:1. Now another mixture of 64 lit having milk and water in ratio of 3:5 is added to it. Find ratio of milk to water in the final mixture?
(a) 32 : 17
(b) 34 : 19
(c) 7 : 4
(d) 24 : 11
(e) 33 : 19
Q2. Ratio of present age of Simmi & Rimmi is 4 : 3 while ratio of age of Simmi 6 years later to present age of Rina is 3 : 1. Ratio of present age of Rimmi to present age of Rina is 2 : 1. Find average of present age of all the three (in years).
(a) 37
(b) 36
(c) 32
(d) 34
(e) 38
Q3. A shopkeeper sells an article at Rs. 720 by making a profit of x% and on interchanging selling price with cost price, it would have a loss of y%. Find the selling price if an article was sold at y% profit whose cost price is Rs.720 (given x : y = 9 : 7)
(a) Rs. 810
(b) Rs. 800
(c) Rs. 1100
(d) Rs. 880
(e) Rs. 660
Q4. There are two rectangular fields of same area. The length of first rectangular field is a% less than the length of the second field and breadth of the first field is (4a)% greater than the breadth of the second field. Find the value of ‘a’ if a is non-zero number.
(a) 60
(b) 75
(c) 80
(d) 90
(e) None of these
Q5. A sum is divided between Aman and Vikash in the ratio of 3 : 5. Aman purchased a motorbike from his money which depreciates 20% per annum while Vikash invested his amount in a scheme which offers compound interest at 20% per annum. By what percentage, the total sum will change after two years?
(a) 12%
(b) 14%
(c) 16%
(d) 18%
(e) 20%
Directions (6-10): Read the following table and line graph carefully and answer the following questions.
Following table shows the time taken by five persons to complete a work on Monday and Ratio of Time taken by these five persons to complete the work on Monday to the time taken to complete the work on Wednesday is also given.
Line graph shows the efficiency (as a percentage) of these five persons on Tuesday with respect to that on Monday.
Q6. Gaurav, Abhishek and Neeraj work in a rotation to complete the job on Tuesday with only 1 person working in a minute. Who should start the job so that the job is completed in the least possible time?
(a) Gaurav
(b) Abhishek
(c) Neeraj
(d) Any one of three
(e) Can’t determine
Q8. On Tuesday, Abhishek, Shailesh and Neeraj work in a rotation in this order to complete the job with only 1 person working in a minute. They earned a total of 875 Rs. Find the share of Shailesh.
(a) 41 Rs.
(b) 31 Rs.
(c) 51 Rs.
(d) 49 Rs.
(e) None of these
Q10. On Wednesday, all of them started the work together. After working for 2 minutes Gaurav left. All except Gaurav worked for another 3 minutes and then all left except Arunoday. In how much time Arunoday will complete the remaining work? (find the approximate value)
(a) 86 minutes
(b) 81 minutes
(c) 96 minutes
(d) 56 minutes
(e) 79 minutes
Solutions