Q1. The volume of a solid cylinder with height 784 cm is 246400 cm³. The radius of cylinder is—
Q3. If x² – 4x + 1 = 0, then find x^(-1) (x^8+1)(x^(-3) )=?
Q4. If A had worked alone he would have taken 63 hours to do the task. What is B’s share, if A and B together on a task finishing it in 36 hours and they get paid Rs. 5,950 for it?
Q5. The volume of conical tent is 4620 m³ and its base area is 1386 m². The height of the tent is—
(a) 11 m
(b) 10 m
(c) 12 m
(d) 14 m
Q6. If it takes 42 days for a pond to get filled with rain water. If the level of water doubles each day. Then how long would it take to fill 1/16 of pond.
(a) 38 days
(b) 39 days
(c) 32 days
(d) 8 days
Q7. In what ratio should coffee costing Rs. 2800/kg be mixed with coffee costing Rs. 1750/kg so that the cost of the mixture is Rs. 2150/kg.
(a) 8 : 13
(b) 13 : 8
(c) 7 : 5
(d) 5 : 7
Q8. Ram and Pankaj started a partnership business investing in the ratio of 7 : 42. Atul joined them after 5 months with an amount equal to 2/21 th of Pankaj. What was their profit (in Rs.) at the end of the year if Atul got Rs. 5060 as his share?
(a) 1, 10, 420
(b) 1, 11, 320
Q9. The average of 27 numbers is zero, out of them how many may be greater than zero, at the most?
Q10.A fraction is greater than twice its reciprocal by 7/15. What is the fraction?
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