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Placement Questions & Answers :: Green Valley Motor

1. The number of solutions (x,y,z) to the equation x-y-z = 25, where x,y and z are positive integer such that x <=40, y <=12 and z <=12 is

Answer: 99

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2. if 9^(2x-1) - 81(x-1) = 1944, then x is

Answer: 9/4

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3. The value of log0.008 √5 + log√3 81 - 7 is equal to

Answer: 5/6

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4. If x+1=x^2 and x>0, then 2x^4 is

Answer: 7+3_/5

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5. Suppose, log3 x= log12 y = a, where x, y are positive numbers, if G is the geometric mean of x and y, and log6 G is equal to

Answer: a

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6. Let ABC be a right-angled triangle with BC as the hypotenuse. Lengths of AB and AC are 15 km and 20 km, respectively. The minimum possible time, in minutes, required to reach the hypotenuse from A at a speed of 30 km per hour is

Answer: 24

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7. A ball of diameter 4 cm is kept on top of a hollow cylinder standing vertically. The height of the cylinder is 3 cm, while its volume is 9pi cubic centimeters. Then the vertical distance, in cm, of the topmost point of the ball from the base of the cylinder is

Answer: 6

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8. The area of the closed region bounded by the equation I x I + I y I = 2 in the two-dimensional plane is

Answer: 8

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9. A class consists of 20 boys and 30 girls. In the mid-semester examination, the average score of the girls was 5 higher than that of the boys. In the final exam, however, the average score of the girls dropped by 3 while the average score of the entire class increased by 2. The increase in the average score of the boys is

Answer: 9.5

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10. If Fatima sells 60 identical toys at a 40% discount on the printed price, then she makes 20% profit. Ten of these toys are destroyed in fire. While selling the rest, how much discount should be given on the printed price so that she can make the same amount of profit?

Answer: 28%

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