26/03/2020Algebra(Study by Topics Senior Class Test) 0Comments by Gate Academy Please, fill out the information below to continue. Note: This is a sample test, and you can only take it for a limited period, after which you will be required to subscribe to a plan NAME EMAIL PHONE NUMBER 1. The value of the expression (9/4) x³ - (9/2) x² - (8/27) x^{-3 }when x = - 2/3 is 7/3 6 -5/3 -20/32. Q is jointly proportional to the cube of X and the fourth power of Y. If X is halved and Y is doubled, then the value of Q is left unchanged increased in the ratio 1 : 4 increased in the ratio 1 : 2 decreased in the ratio 4 : 13. P is directly proportional to M and inversely proportional to N. If P = 9 when M = 24 and N = 8, find the value of P when M = 5 and N = 6 18/5 5/4 11 5/24. The sum of the ages of a father and his daughter is 85 years. Five years ago, the father was exactly four times as old as his daughter. The present age of the father is 53 yr. 57 yr. 65 yr. 61 yr.5. Given that a² + b² + c² = 50 and a = 5, √b = 2, find c 2 5.7 4.2 36. The 11th term of the A.P 15, 9, 3, -3, ... is 51 75 -51 -457. The 23rd term of the sequence 4, 7, 10, ... is 70 67 92 738. Find the real numbers n satisfying n(3/n) + n > 2 n < 1 n > -1 All real numbers n > 29. If z ∝ 1/y² and z = 4 when y = 3, find the value of z when y = 2 1 3 18 910. Factorize: a² + 4a - 192 (a-12)(a+16) (a-12)(a-16) (a-4)(a+48) (a-48)(a+4)11. The 2nd and 5th terms of a G.P are 2/3 and 1/12 respectively. The 1st term is 1/2 7/3 4/3 5/312. Solve the equation: 6z² - 7z - 5 = 0 z = 1/3 or 5/2 z = 5/3 or -1/2 z = -5/3 or 1/2 z = 1/2 or -5/213. The sum of the digits in a 2-digit number is 13. With the digits interchanged, the new number exceeds the original number by 27. The original number is 67 49 76 5814. One of the roots of the equation x² + kx - 15 = 0 is 3. The value of K is -5 5 -2 215. When the price of eggs was raised by £2 an egg, the number of eggs which can be bought by Tara for £120 is reduced by 5. What is the present price that Tara would buy an egg? £10 £6 £7 £816. Factorize: 6a-5-a² (a-5)(a-1) -(a+3)(a+2) (5-a)(a-1) -(5-a)(1-a)17. Evaluate: (xy² - yz²) (x²z - xyz) when x = 2, y = -2 and z = -½ -34 -28 -30 018. Solve the equation:5x² = 3x x = 0 or 5 x = 0 or 3/5 x = 3 or 5 x = 0 or 319. A motorist drove a distance of 90km at constant speed for the first 40km and then drove 20km/hr faster for the rest of the journey. If the whole journey took him one hour, his average speed for the first 40km was 70 km/hr 60 km/hr 40 km/hr 80 km/hr20. If (x - 3) < x/3,then x is x > -9 x < 3 x < 9 x < 9/221. For what range of values of y is y - 1 > 4(y + 2)? 2 < y < 3 -3 < y < -2 y < -3 y > -322. The following are factors of 2x² - 2 except 2x+1 x-1 2x-2 x+123. Solve the inequality:3x + 3 > 9 x > 3 x > 2 x > 4 x > 624. If x varies directly as the square root of n, and x = 9 when n = 9, the value of x when n = 16/9 is 4 9/4 16/9 3/225. The length of a rectangle exceeds its width by 2cm. If the area of the rectangle is 80cm², the length of the rectangle is 10 cm 8 cm 5 cm 16 cm26 out of 25Time is Up!