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Q1. Arun takes 4 more days than Rana to complete a work. Yash is 20% more efficient than Rana and takes 1 less day than Rana takes. Find the number of days taken by all of them to complete twice this work together?
Q2. A man deposited his savings in 3 different schemes X, Y and Z and they offer SI at 10% per annum, SI at 6% per half year and CI at 10% per annum respectively. At the end of two years, total interest obtained by man from all the three schemes is Rs. 2580. Find initially total amount deposited by man, if amount invested in scheme Z is twice of each of scheme X and scheme Y and amount in both X and Y are same (in Rs.)?
Q3. A shopkeeper have 3 juice machines, Ist for fresh oranges, then the remaining pulp(waste other than juice) of Ist machine is used in second and similarly remaining of 2nd machine is used for 3rd. If first machine, squeeze 90% by weight juice, second give 40% by weight and last give 16 ⅔% by weight juice. Find the amount of juice (in ml) obtained by shopkeeper in 1 kg of orange. [Assume 1 gm is equal to 1.05 ml]
Q4. Distance between Delhi and Jaipur is 300 km. Aman starts from Delhi and Rajiv from Jaipur at same time. After two hours, Aman realized he was travelling slow and therefore increased his speed by 25% and meet Rajiv at a point 108 km from Delhi. Find the increased speed of Aman, if Rajiv derived at a constant speed of 75 km/hr.
Q5. Three pipes A, B, C when opened alternatively for 1 minute each, can fill a tank in 18 minutes. Time taken by A alone is 5 minutes more than B and C take together. Find the time taken by B alone to fill the tank, if C is 20% less efficient than B.
Tank filled by them in 1 minute when all of them are opened together = 1/6
Let B and C together takes x minutes
∴ A will take x + 5 minutes
Directions (6-10): Find the wrong number which does not follow the specific pattern in each of the given number series ?
Q6. 5531, 5506, 5425, 5304, 5135, 4910, 4621
Q7. 6, 7, 9, 13, 26, 37, 69
Q8. 1, 3, 10, 36, 152, 760, 4632
Q9. 157.5, 45, 15, 6, 3, 2, 1
Q10. 216, 243, 512, 729, 1000, 1331
Directions (11-15): In these questions, two equations numbered I and II are given. You have to solve both the equations and give answer
Q11. I. 3x² – 11x + 10 = 0
II. 2y²– 3y ─ 2 = 0
Q12. I. x² ─ 9x + 20=0
II. 2y²– 13y + 18 = 0
Q14. I. 5x²-18x+9=0
Q15. I. x²-19x+84=0
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