CSS General Abilities Online Entry Test With Answers

CSS General Abilities Online Entry Test

Sr. # Questions Answers Choice
1 If (x - 1) is a factor Ax3 + Bx2 - 36x + 22 and 2B = 64A, find A and B A = 4, B = 16 A = 4, B = 24 A = 4, B = 12 A = 8, B = 16
2 When (x3 - 2x2 + px - q) is divided by x2 - 2x - 3 the remainder is (x - 6). The values of p and q are: p = -2, q = -6 p = 2, q = -6 p = -2, q = 6 p = 2, q = 6
3 Find the factors of (a - b)3 + (b - c)3 + (c - a)3 3(a + b)(b + c)(c + a) 5(a - b)(b - c)(c - a) 3(a - b)(b - c)(c - a) None of these
4 Resolve into factors: 81x2y2 + 108xyz + 36z2. (6xy + 9z)<sup>2</sup> (9xy - 7z)<sup>2</sup> (9xy + 6z)<sup>2</sup> None of these
5 Resolve into factors: (a + b)2 - 14c(a + b) + 49c2. (a - b - 9c)<sup>3</sup> (a + b -7c)<sup>2</sup> (a + b +9c)<sup>2</sup> None of these
6 Resolve into factors: 4x2 + 12xy + 9y2 - 8x -12y (3x + 2y)(4x + 2y - 3) (2x + 3y)(2x + 3y - 4) (2x - 3y)(2x + 3y + 4) None of these
7 Resolve into factors: 16(x-y)2 - 9(x+y))2 (x-5y)(5x-y) (x + 7y)(7x + y) (x - 7y)(7x - y) None of these
8 If 5x2 - 4x - 1 is divided by x - 1, the remainder is 0 2 1 None of these
9 Find the value of k if f(x) = x3 - kx2 + 11x-6 and (x-1) is a factor of f(x). 6 4 8 None of these
10 If (x-2) is a factor of the polynomial x3-2ax2 + ax - 1, find the value of a. 5/6 7/6 11/6 None of these
11 What is the sum of all the numbers less than 50 that are in the region labeled y ? 24 37 47 84 108
12 How many numbers are in the region labeled x ? 4 5 6 7 8
13 A jar contains 20 marbles: 4 red, 6 white, and 10 blue. If you remove marbles one at a time, randomly, what is the minimum number that must be removed to be certain that you have at least 2 marbles of each colour ? 6 10 12 16 18
14 A jar has 5 marbles, 1 of each of the colours red, white, blue, green, and yellow. If 4 marbles are removed form the jar, what is the probability that the yellow one was removed ? 1/20 1/5 1/4 4/5 5/4
15 Let A be the set of primes less than 6, and B be the set of positive odd numbers less then 6. How  many different sums of the form a a + b are possible, if a is in a and b is in B? 6 7 8 9 10
16 There are 100 people on a line. Aviva is the 37th Person and Naomi is the 67th person. If a person on line is chosen at random, what is the probability that the person is standing between Aviva and Naomi ? 1/100 29/100 3/10 31/100 1/2
17 How many four-digit numbers have only even digits ? 96 128 256 500 625
18 Dwight Eisenhower was born on October 14, 1890 and died on March 28, 1969. What was his age, in years, at the time of his death ? 77 78 79 80 81
19 A diner serves a lunch special, consisting of soup or salad, a sandwich, coffee or tea, and a dessert. If the menu lists 3 soups, 2 salads, 7 sandwiches, and 8 desserts, how many different lunches can you choose? (Note: Two lunches are different if they differ in any aspect.) 22 280 336 560
20 Alyssa Completed exercise 6-20 on her math review sheet in 
30 minutes. At this rate, how long in minutes, will it take her to complete exercises 29-57 ?
 56 57 58 60
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