Quantitative Aptitude Test 58

1. 3^x = 5^y = 45^z, then

2. The factors of a³ + 4a² - 11a - 30 are:

3. If 2x - ky + z = 0 is a factor of
9y² - Z² - 2xz + 6xy, then the value of k is equal to:

4. A circus tent is cylindrical to a height of 3 m and conical above it. If its diameter is 105 rn and slanting height of the cone is 53 m, then the area of the, canvas used is equal to:

5. If 3^x - 3^x-1 = 18, then the value of x^x is equal to:

6. When x⁵ - 5x⁴ + 9x³ - 6X² - 16x + 13 is divided by x² - 3x + a, the quotient and the remainder are x³ - 2x² + x + 1 and -15x + 11, respectively. The value of a is equal to:

7. If x = 3 - Ö5 then the value of x² + 16/x² is equal to:

8. A cylindrical drum of radius 50 cm and height 30 cm is completely filled under a running tap of water in 2 minutes. If the radius of the circular tap is 1 cm, then the velocity of the water flowing through the tap is equal to:

9. A cylindrical vessel 80 cm in diameter is partly filled with water. If a heavy sphere of 60 cm diameter is gently dropped into the vessel, then the water level will rise by another:

10. If x^1/3 + y^1/3 + Z^1/3 = 0, then the value of (x+y+z)³ will be: