41. The minimum possible value of the sum of the squares of the roots of the equation x^2 + (a+3)x - (a-5) = 0 is
Answer: 3
Explanation:Here is no explanation for this answer
Workspace
Green Valley Motor
42. if 9^(x-1/2) - 9^(2x-2) = 4^x- 3^(2x-3), then x is
Answer: 3/2
Explanation:Here is no explanation for this answer
Workspace
Green Valley Motor
43. if log(2^a * 3^b * 5^c) is the arithmetic mean of lob (2^2 * 3^3 *5), log(2^6 * 3 * 5^7) and log(2 * 3^2 * 5^4), then a equals.
Answer: 3
Explanation:Here is no explanation for this answer
Workspace
Green Valley Motor
44. Bottle 1 contains a mixture of milk and water in 7: 2 ratio and Bottle 2 contains a mixture of milk and water in 9: 4 ratio. In what ratio of volumes should the liquids in Bottle 1 and Bottle 2 be combined to obtain a mixture of milk and water in 3:1 ratio?
Answer: 27 : 13
Explanation:Here is no explanation for this answer
Workspace
Green Valley Motor
45. In a 10 km race, A, B, and C, each running at uniform speed, get the gold, silver, and bronze medals, respectively. I f A beats B by 1 km and B beats C by 1 km, then by how many metres does A beat C?
Answer: 1900
Explanation:Here is no explanation for this answer
Workspace
Green Valley Motor
46. The numbers 1, 2, ..., 9 are arranged in a 3 X 3 square grid in such a way that each number occurs once and the entries along each column, each row, and each of the two diagonals add up to the same value.If the top left and the top right entries of the grid are 6 and 2, respectively, then the bottom middle entry is
Answer: 3
Explanation:Here is no explanation for this answer
Workspace
Green Valley Motor
47. A tank has an inlet pipe and an outlet pipe. If the outlet pipe is closed then the inlet pipe fills the empty tank in 8 hours. If the outlet pipe is open then the inlet pipe fills the empty tank in 10 hours. If only the outlet pipe is open then in how many hours the full tank becomes half-full?
Answer: 20
Explanation:Here is no explanation for this answer
Workspace
Green Valley Motor
48. The manufacturer of a table sells it to a wholesale dealer at a profit of 10%. The wholesale dealer sells the table to a retailer at a profit of 30% Finally, the retailer sells it to a customer at a profit of 50%. If the customer pays Rs 4290 for the table, then its manufacturing cost (in Rs) is
Answer: 2000
Explanation:Here is no explanation for this answer
Workspace
Green Valley Motor
49. The average height of 22 toddlers increases by 2 inches when two of them leave this group. If the average height of these two toddlers is one-third the average height of the original 22, then the average height, in inches, of the remaining 20 toddlers is
Answer: 32
Explanation:Average of 22 people = a/22
Let sum of heights of two people who left = x
From the question,
(a-x)/20 = a/22 + 2
On solving, we get x=a/33
Putting value of x in a, we get the value of a as 660
x=20
Average height of remaining 20 toddlers = (a-x)/20 = 32
Workspace
Green Valley Motor
50. Let AB, CD, EF, GH, and JK be five diameters of a circle with center at 0. In how many ways can three points be chosen out of A, B, C, D, E, F, G, H, J, K, and 0 so as to form a triangle?
Answer: 160
Explanation:Here is no explanation for this answer
Workspace
Green Valley Motor
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