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
Explanation:Here is no explanation for this answer
Workspace
Green Valley Motor
2. if 9^(2x-1) - 81(x-1) = 1944, then x is
Answer: 9/4
Explanation:Here is no explanation for this answer
Workspace
Green Valley Motor
3. The value of log0.008 √5 + log√3 81 - 7 is equal to
Answer: 5/6
Explanation:Here is no explanation for this answer
Workspace
Green Valley Motor
4. If x+1=x^2 and x>0, then 2x^4 is
Answer: 7+3_/5
Explanation:Here is no explanation for this answer
Workspace
Green Valley Motor
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
Explanation:Here is no explanation for this answer
Workspace
Green Valley Motor
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
Explanation:Here is no explanation for this answer
Workspace
Green Valley Motor
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
Explanation:Here is no explanation for this answer
Workspace
Green Valley Motor
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
Explanation:Here is no explanation for this answer
Workspace
Green Valley Motor
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
Explanation:Here is no explanation for this answer
Workspace
Green Valley Motor
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%
Explanation:Here is no explanation for this answer
Workspace
Green Valley Motor