61. If three sides of a rectangular park have a total length 400 ft, then the area of the park is maximum when the length (in ft) of its longer side is
Answer: 200
Explanation:Here is no explanation for this answer
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Green Valley Motor
62. Let P be an interior point of a right-angled isosceles triangle ABC with hypotenuse AB. If the perpendicular distance of P from each of AB,BC,and CA is 4(_/2-1) cm,then the area, in sq cm, of the triangle ABC is
Answer: 16
Explanation:Here is no explanation for this answer
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Green Valley Motor
63. Let f(x) = x^2 and g(x) = 2^x for all real x. Then the value of f(f(g(x)) + g(f(x)) ) at x = 1 is
Answer: 36
Explanation:Here is no explanation for this answer
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Green Valley Motor
64. How man Y different pairs(a,b) of positive integers are there such that a<=b and 1/a+1/b = 1/9?
Answer: 3
Explanation:Here is no explanation for this answer
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Green Valley Motor
65. In how many ways can 8 identical pens be distributed among Amal, Bimal, and Kamal so that Amal gets at least 1 pen, Bimal gets at least 2 pens, and Kamal gets at least 3 pens7
Answer: 6
Explanation:Here is no explanation for this answer
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Green Valley Motor
66. if a1 = 1/(2*5, a2 = 1/(5*8), a3 = 1/(8*11), …. Then a1 + a2 + a3 + …. + a100
Answer: 25/151
Explanation:Here is no explanation for this answer
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Green Valley Motor
67. Let a1, a2, a3n be an arithmetic progression with a1 = 3 and a2 =7. if a1 + a2 + … +a3n = 1830, then what is the smallest positive integer m such that m(a1 + a2 + …. + an) > 1830.
Answer: 9
Explanation:Here is no explanation for this answer
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Green Valley Motor
68. f(x) = (5x+2)/(3x-5) and g(x) = x^2 - 2x - 1, then the value of g(f(f(3))) is.
Answer: 2
Explanation:Here is no explanation for this answer
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Green Valley Motor
69. In how many ways can 7 identical erasers be distributed among 4 kids in such a way that each kid gets at least one eraser but nobody gets more than 3 erasers?
Answer: 16
Explanation:Here is no explanation for this answer
Workspace
Green Valley Motor
70. If the square of the 7th term of an arithmetic progression with positive common difference equals the product of the 3rd and 17th terms, then the ratio of the first term to the common difference is
Answer: 2:3
Explanation:Here is no explanation for this answer
Workspace
Green Valley Motor
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