Q1. In a bag, there are some red and total 9 black and yellow balls. Probability of selecting two red balls from that bag is 1/7 which is 250% of the probability of selecting two black balls. Find number of yellow balls in that bag if the number of black balls is even.
(e) None of these
Q2. A shopkeeper wants to sell 10 items each at Rs. 60 to earn some profits. But for every Rs. 10 increment in selling price of one item, he left with one unsold item. Find at what selling price, he would be able to maximize his profits (some unsold items, remain with him).
(a) Rs. 75
(b) Rs. 60
(c) Rs. 90
(d) Rs. 80
(e) Rs. 100
Q3. In a university election of two candidates, 80% of the students cast their votes out of which 120 votes are invalid. The winner gets 37.5% of the total students votes and won by only 30 votes. Then find the number of students who don’t cast their votes?
Q4. Tap A and B together can fill a tank in 6 hours while B and C together can fill the same tank in 9 hours. If A fill the tank for 4 hours and C fill the tank for 6hours then the remaining tank is filled by B in 5 hours. Then, find in how many hours tap C alone can fill the tank?
(a) 17.5 hours
(b) 21 hours
(c) 24 hours
(d) 22.5 hours
(e) 27.5 hours
Q5. Average weight of a family of X members is 18 kg. When three men of this family get married, average weight increases by 1kg and when an old man having weight 18kg more than total weight of wife of these three men died, average weight become 16 kg. Find the value of X?
Q6. A bag contains x green balls, 7 blue balls and 8 red balls. When two balls are drawn from bag randomly, then the probability of one ball being green and one ball being red is 4/15. Find value of x (number of green balls cannot be more than 18 balls).
Q7. Breadth of a rectangular park is 12m and ratio of area of rectangular park to perimeter of rectangular park is 42 : 11. If radius of circular park is equal to length of rectangular park and cost of fencing circular park is Rs.20/m, then find total cost of fencing circular park.
Q8. A, B & C entered into a partnership business with capital in the ratio 5 : 8 : 12. After 8 months C withdraws his capital while after 10 months B increased his investment by 25%. If at the end of the year difference between profit share of A and B is Rs.17000, then find profit share of C at the end of the year.
Q9. A vessel contains mixture of petrol and kerosene oil in the ratio 4 : 3. When 105 liters of the mixture is taken out from the vessel and completely replaced by kerosene oil, then the ratio of petrol to kerosene oil in the resulting mixture gets reversed. Find initial quantity of mixture in the vessel.
(a) 350 liters
(b) 500 liters
(c) 420 liters
(d) 240 liters
(e) 560 liters
Q10. B alone can complete a piece of work in 36 days while D alone can complete same piece of work in 25 days. C is 50 % more efficient than B and A is 20% less efficient than C. If all four starts working together (B & C are working with 56% & 20% more efficiency respectively than their usual efficiency), then in how many days the work will be completed?
(a) 12 days
(b) 18 days
(c) 15 days
(d) 6 days
(e) 10 days
Q11. Time taken by boat to cover D km in upstream is 4 hours more than the time taken by same boat to cover D km in downstream. Speed of boat in still water is 250% of speed of stream. If same boat covers 162km in upstream in 9 hours, then find the value of D.
(e) None of the above.
Q12. A salesman purchased 50 laptops from a manufacturer at Rs.36000 each. If salesman marked each laptop 150% above the cost of each laptop and started a scheme – on purchase of every laptop he will give accessories worth Rs.25000 free and 30% discount on marked price of each laptop, then find the amount of profit earned by the salesman on selling all the laptops.
Q13. Ayush invested Rs.P at R% p.a. CI. If compound interest received in second year and third year is Rs.3450 and Rs.3967.5 respectively, then find the value of P.
(e) None of the above.
Q14. Ramesh purchased 4kg rice & 5 kg wheat for Rs.180 and Suresh purchased 2kg rice & 15kg wheat for Rs.290. Then, find per kg price of wheat is what percent of per kg price of rice?
Q15. A spherical ball is melted to form 63 identical cylindrical vessels. If radius of each cylindrical vessel is 33⅓% of radius of spherical ball and height of each cylindrical vessel is 3cm less than radius of each cylindrical vessel, then find radius of spherical ball.