26/03/2020 Algebra(Study by Topics Senior Class Test) 26/03/2020 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. If xy + 1 = y² and z= (1/x) - (1/xy), express z in terms of y 1/ y-1 1 + y 1/ y+1 1/ x-y None 2. What is the common factor to the expressions y²-y, 2y²+y-1 and y²-1 ? y none y-1 y+1 None 3. Given that A varies inversely as B, and B varies directly as the square of C, and A = 1 when C = 3, find the value of A when C = 1/3 1/27 27 81 1/9 None 4. Solve the inequality:18 < x² - 3x x > -3 or x > 6 x < -3 or x < 6 -3 < x < 6 x 6 None 5. The real numbers m which satisfy the inequality (3/5)m + 3 > (2/3 )m - 4 are (m : m > 7) (m : m < 7) (m : m < 105) (m : m > 105) None 6. Solve the equation 3x + 10 = x² -5 or -2 5 or -2 -5 or 2 5 or 2 None 7. What is the least possible value of 9/(1 + 2y²) if 0 ≤ y ≤ 2? 0 9 2 1 None 8. Z is partly constant and partly varies inversely as the square of D. When D = 1, Z = 11 and when D = 2, Z = 5. Find the value of Z when D = 4 5.5 5 3.5 2 None 9. The 11th term of the A.P 15, 9, 3, -3, ... is -45 -51 75 51 None 10. Solve for y: 25^{y} + 3(5^{y}) = 4 -4 or 1 1 or 4 1 0 None 11. The roots of the equation2y² - 3y - 2 = 0 are -2,1 -2, 1/2 -2, 2 -1/2, 2 None 12. One of the roots of the equation x² + kx - 15 = 0 is 3. The value of K is -5 -2 2 5 None 13. The 8th term of the A.P. -4, -2, 0... is 8 10 -10 12 None 14. If y is negative, for what range of values of y is y + 1/3 > 1/y + 3 ? -2 < y < -1 3 < y < 4 -4 < y < -3 -3 < y < 0 None 15. The 5th and 10th terms of an A.P are 0 and 10 respectively. the 20th is 36 30 20 40 None 16. The length of a rectangle exceeds its width by 2cm. If the area of the rectangle is 80cm², the length of the rectangle is 5 cm 8 cm 10 cm 16 cm None 17. The seventh term of the G.P 16/9, -8/3, 4, ... is 16 -9/2 -32/3 81/4 None 18. 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 : 2 decreased in the ratio 4 : 1 increased in the ratio 1 : 4 None 19. The cost(y) of feeding n people for a week is given as y = 250 + 80n, where y is expressed in dollar ($). What is the cost of feeding two persons? $80 $410 $160 $660 None 20. The values of p and q in the G.P 10, p, q, -5/4 are respectively -5/2, 5 -5, 5/2 5/2, -5 5, -5/2 None 21. The largest root of the equation (x - 1)² = 4x - 7 is 2 7 4 6 None 22. The first term of an AP is -1 and the common difference is 0.5. The 6th term is 2.5 1.0 1.5 0.5 None 23. Solve the inequality 12y² < y + 1 -1/4 < y < 1/3 - 1/4 < y < -1/3 -1/3 < y < 1/4 1/4 < y < 1/3 None 24. Given that a+b = 3/2 and a-b = 5/2, the value of 2b + a is 1 1/2 -2 2/3 None 25. If 4x - 2 = 3x -5, the value of 7x is -21 -3 -49 7 None 1 out of 25 Time's upTime is Up!