Q1. Average of four numbers is 64. If 3 is added to first number, multiplied to second, subtracted from the third and divided to last one then all the values are same. Find the difference between 2nd highest and the smallest number?
Q7. Ratio of volume of conical tent to total surface area of hemispherical bowl is 8 : 1. Radius of bowl and tent is equal and slant height of tent is 75cm. If radius of conical tent is equal to side of a cube, then find curved surface area of cube.
(a) 1576 cm²
(b) 1764 cm²
(c) 1852 cm²
(d) 1690 cm²
(e) 1512 cm²
Q9. ‘A’ purchased two beds at same price. He further sold one bed to ‘B’ at 60% profit and other bed to ‘C’ at 20% profit. ‘C’ further sold the bed to ‘D’ at 20% less than the average of cost price of bed for ‘B’ & ‘C’. If D incurred 25% loss by selling the bed to ‘E’ at Rs.2100, then find the difference between the cost price of a bed for ‘A’ and ‘D’.
Q10. Aman invested Rs.(X + 2500) at 20% p.a. CI for 2 years and Rs.X at 30% p.a. SI for 2 years. If compound interest is Rs.60 more than simple interest, then find X.
Q11. A, B and C invested Rs.5000, Rs.10000 and Rs.20000 in a partnership business respectively. After ‘x’ months A doubled his investment and after ‘y’ months B increased his investment by 50%. If at the end of the year they distributed the profit earned in the ratio 10 : 15 : 24, then find (x+y).
Q12. Vessel-A and vessel-B contains mixture of petrol and diesel in the ratio of 11:7 and 7:5 respectively. 40% & 50% mixtures from vessel-A and vessel-B respectively are taken out and mixed in another vessel-C. If total quantity of petrol and diesel in vessel-C is 285 liters and 195 liters respectively, then find initial quantity of vessel-A is what percent of initial quantity of vessel-B?
Q13. There is a certain sum of money from which Anmol takes 20%, Golu takes 50% of the remaining, Yash takes Rs.1200 less than the amount taken by Golu and Shivam takes rest amount. If Anmol got Rs.400 less than Yash, then find amount taken by Golu is how much more than amount taken by Shivam.
Q14. Pankaj and Suresh invested capital in the ratio of 4 : 3 in a partnership business. Pankaj and Suresh left the business after 5 months and after 10 months respectively. Raju joined the business with Rs.50000 when Suresh left, and they wind up the business after 1 year. If at the end of one-year profit sharing ratio of Pankaj, Suresh & Raju is 2 : 3 : 1, then find the difference between the capital invested by Pankaj and Suresh?