CSS General Abilities Online Entry Test With Answers

CSS General Abilities Online Entry Test

Sr. # Questions Answers Choice
1 When x > 0, y > 0 and x - y > 0, then : x < y x > y |x/y| = 0 None of these
2 Solution set of |2x| = 6 is : {3, -3} {3} {0, 3} {-3, 0}
3 The number of quadratic equations which are unchanged by squaring their roots is 2 4 5 6
4 x = 3 is solution of the question 3x2 + (k - 1) x + 9 = 0 then k has value 13 -13 11 -11
5 One root of the quadratic equation x2 - 5x+6=0 is 3. Find the other root. 2 -2 1 -1
6 A number consists of two digits whose sum is 10. If 72 be subtracted from the number, the digits are reversed. Find the number. 91 93 95 None of these
7 In an examination, a student attempted 15 questions correctly and secured 40 marks. If there were two types of questions (2 marks and 4 marks questions), how many questions of 2 marks did he attempt correctly ? 5 10 20 40
8 3 chairs and 2 tables cost Rs. 700, while 5 chairs and 3 tables cost Rs. 1100. What is the cost of 2 chairs and 2 tables ? Rs. 300 Rs. 350 Rs. 450 Rs. 600
9 The minimum value of x2 + 8x + 17 is -1 0 1 17
10 A real number is said to be algebraic if it satisfies a polynomial equation with integral coefficients. 2/3 √2 0 π
11 The conditions for the polynomial equation ax2 + bx + c = 0 to be quadratic is a > 0 a < 0 a ≠ 0 a ≠ 0, b ≠ 0
12 Solve: 7x+11y=1, 8x+13y=2. x=-5, y=3 x=-7, y=5 x=-3, y=2 None of these
13 If 4a = 5b, what is the ratio of a to b? 0.8 0.86 1.08 1.16 1.25
14 If 4a = 8b, what is the ratio of a to b ? 1/2 2/3 3/2 2/1 4/1
15 If the sum of two numbers is 13 and the difference of the numbers is 23, what is the product of the numbers ? -90 -23 0 18 36
16 If ax - b = c - dx, what is the value of x in terms of a, b, c, and d? b+c/a+d c-b/a-d b+c-d/a c-b/a+d c/b - d/a
17 Which of the following is a solution of the equation √2x + 5=3 ? 2 4 16 32 This equation has no solution.
18 If x+3/2 + 3x =5(x-3) + x+23/5, what is the value of x ? 3 5 7 9 11
19 If 4x + 13=7 -2x, what is the value of x ? - 10/3 -3 -1 1 10/3
20 What is the value of the following expression ?
(1 + x)(1 + x2)(1 + x4)(1 + x8)(1 - x)
1 + x<sup>16</sup> 1 - x<sup>16</sup> x<sup>16</sup> - 1 x<sup>8</sup> + 1
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