Quantitative Aptitude Test 58 Quantitative Aptitude Please enter your email: 1. 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: 525 cm/s 425 cm/s 325 cm/s 625 cm1s 2. The factors of a^{3} + 4a^{2} – 11a – 30 are: (a + 2) (a + 3) (a – 5) (a + 2) (a – 3) (a – 5) (a – 2) (a + 3) (a + 5) (a + 2) (a – 3) (a + 5) 3. If 3^{x} – 3^{x-1} = 18, then the value of x^{x} is equal to: 27 8 3 216 4. 3^{x} = 5^{y} = 45^{z}, then x + y +z =0 2/z = 1/y – 1/x 2/z = 1/x – 1/z 2/x = 1/z – 1/x 5. When x^{5} – 5x^{4} + 9x^{3} – 6X^{2} – 16x + 13 is divided by x^{2} – 3x + a, the quotient and the remainder are x^{3} – 2x^{2} + x + 1 and -15x + 11, respectively. The value of a is equal to: 2 4 1 3 6. If x^{1/3} + y^{1/3} + Z^{1/3} = 0, then the value of (x+y+z)^{3} will be: 3x^{1/3}. y^{1/3}. z^{1/3} 0 27x.y.z 9x^{2/3}. y^{2/3}.z^{2/3} 7. 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: 35.2 cm 22.5 cm 30.5 cm 32.5 cm 8. If 2x – ky + z = 0 is a factor of 9y^{2} – Z^{2} – 2xz + 6xy, then the value of k is equal to: 1 -3 3 -1 9. 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: 9435 sq. cm 9535 sq. cm 9635 sq. cm 9735 sq. cm 10. If x = 3 – Ö5 then the value of x^{2} + 16/x^{2} is equal to: 10 28 24 26 Loading … Question 1 of 10 Previous PostVocabulary Sentence Completion 14 Next PostPMP Sample Test 34