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. The roots of the equation ay² + by + c = 0 are 1/2 and -3. The values of a, b and c are, respectively 2, 5, 3 1, 5, 3 2, -5, -3 2, 5, -3 2. A G.P has a common ratio of 3.If the difference between the 1st term and 5th term is 160, the 5th term is 162 180 160 120 3. Find the sum to infinity of the series 1 + 7/10 + (7/10)² + (7/10)³ + ... 7 5 10/3 27/10 4. A G.P has 6 and 24 as its 2nd and 4th terms respectively. The sum of the first four terms is 60 66 40 45 5. 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 6. 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 58 67 76 49 7. One of the roots of the equation:x² + 9 = 0 3 -9 none of these -3 8. What is the common factor to the binomial expressions 4x²-9y², 8x³+27y³ and (4x+6y)² ? 2x+3y 2x-3y 4x+6y 4x-6y 9. If y is negative, for what range of values of y is y + 1/3 > 1/y + 3 ? -2 < y < -1 -4 < y < -3 -3 < y < 0 3 < y < 4 10. The 11th term of the A.P 15, 9, 3, -3, ... is 51 75 -51 -45 11. For what range of values of y is y - 1 > 4(y + 2)? 2 < y < 3 y > -3 y < -3 -3 < y < -2 12. Solve the equation:6(y - 4) + 3(y + 7) = 6 0 3/2 2/3 1 13. If (x - 3) < x/3,then x is x > -9 x < 9 x < 3 x < 9/2 14. A mother is now twice as old as her daughter. Ten years ago the mother was four times as old as her daughter. The present ages of the daughter and the mother are, respectively 20, 40 15, 30 25, 50 30, 60 15. One of the roots of the equation x² + kx - 15 = 0 is 3. The value of K is -2 -5 2 5 16. If a = 2 and b = 3, solve for y in the equation a/(a-y) = b/(y-b) 12/5 2/3 7/3 12 17. If 4x - 2 = 3x -5, the value of 7x is -3 7 -21 -49 18. Evaluate: 27.63² - 22.37² 189.0 27.7 263.0 241.3 19. Solve the equation 3x + 10 = x² 5 or -2 5 or 2 -5 or -2 -5 or 2 20. The roots of the equation2y² - 3y - 2 = 0 are -1/2, 2 -2, 2 -2,1 -2, 1/2 21. Factorize: a² + 4a - 192 (a-12)(a+16) (a-48)(a+4) (a-4)(a+48) (a-12)(a-16) 22. If 4/3, m, 1, n form a G.P, the product of m and n is 4/3 3/4 1 9/16 23. What is the least possible value of 9 / (1 + 2y²) if 0 ≤ y ≤ 2 ? 2 1 9 0 24. The first term of an AP is -1 and the common difference is 0.5. The 6th term is 1.0 0.5 2.5 1.5 25. What must be added to the expression y² - 18y to make it a perfect square? 36 81 9 2 1 out of 25 Time is Up! Time's up