26/03/2020 Algebra(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. Solve the equation:(log_{3}a) – 6log_{3}a + 9 = 081182792. The 23rd term of the sequence 4, 7, 10, ... is677392703. Find the sum to infinity of the sequence 3, 2, 4/3, 8/9 , ...8109184. 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 is766758495. Factorize: 6a-5-a²-(5-a)(1-a)(5-a)(a-1)(a-5)(a-1)-(a+3)(a+2)6. The roots of the equation2y² - 3y - 2 = 0 are-2,1-1/2, 2-2, 1/2-2, 27. Factorize : Pqx^{2}+ 12y - 4qx - 3pxy(px+q) (x-12y)(qx-4)(px+3y)(px-4)(qx-3y)(px-3y)(qx-4)8. Find the values p and q in the arithmetic progression -12, p, q, 18, ...-1, 80, 91, 11-2, 89. Solve the equation:(a-7) (a+2) = 0a = -4 or 5a = -2 or 7a = -1 or 8a = 2 or -710. The integral values of z which satisfy the inequalitiy -1 < 2z - 5 ≤ 5 are2, 52, 3, 4, 52, 3, 43, 4, 511. The seventh term of the G.P 16/9, -8/3, 4, ... is-9/281/4-32/31612. The 1st and the 11th terms of an A.P. are -5 and 20 respectively. The common difference is5/254313. The 5th and 10th terms of an A.P are 0 and 10 respectively. the 20th is2030364014. The 8th term of the A.P. -4, -2, 0... is1012-10815. The integral values of y which satisfy the inequality -1 < 5 - 2y ≤ 7 are-1, 0, 2, 3-1, 0, 1, 2, 3-1, 0, 1, 20, 1, 2, 316. If 4x - 2 = 3x -5, the value of 7x is7-21-49-317. The value of the expression (9/4) x³ - (9/2) x² - (8/27) x^{-3 }when x = - 2/3 is-5/3-20/37/3618. 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?$410$160$660$8019. Factorize: 5x²+2ax-3a²(5x-a)(x+3a)(x-a)(5x+3a)(x+a)(5x-3a)(5x+a)(x-3a)20. The first term of an AP is -1 and the common difference is 0.5. The 6th term is1.51.02.50.521. If y is negative, for what range of values of y is y + 1/3 > 1/y + 3 ?3 < y < 4-4 < y < -3-2 < y < -1-3 < y < 022. The values of p and q in the G.P 10, p, q, -5/4 are respectively-5/2, 55/2, -55, -5/2-5, 5/223. If y is a positive number, for what values of y is 4 + 3y < 10 ?0 > y > 21 < y < 2y < 20 < y < 224. Solve the equations4m - 3 = 3m + n = 2n + 5m - 12m = 5, n = -2m = -2, n = -5m = 5, n = 2m = 2, n = 525. A G.P has 6 and 24 as its 2nd and 4th terms respectively. The sum of the first four terms is4560406626 out of 25Time is Up!