Problem 1 :
Solve the given equation below x + 2 log27 9 = 0
(A) -4/3 (B) 1/2 (C) 2/5
Problem 2 :
In the given, ∠A = 64° , ∠ABC = 58°. If BO and CO are the bisectors of ∠ABC and ∠ACB respectively of ΔABC, find x° and y°
(A) 58, 122 (B) 114, 25 (C) 110, 18
Problem 3 :
Find the number of subsets for the set A = {1, 2, 3, 4, 5}
(A) 11 (B) 22 (C) 32
Problem 4 :
{The number of engineering colleges in Singapore}
The above set is a --------
(A) singleton set (B) infinite set (C) finite set
Problem 5 :
The cardinal number of the set P {0}
(A) 3 (B) 4 (C) 1
Problem 6 :
If A = {1, 2, 3} and B = {2, 3, 4}, find A n B.
(A) {1, 2, 3} (B) {2, 3} (C) {1, 2, 3, 4}
Problem 7 :
The equation x + 3y = 12, 3x + 9y = 24 has ------ solution.
(A) unique (B) infinite (C) no
Problem 8 :
Solve 5x + 3y = 11, 3x + 5y = -3
(A) (1, 2) (B) (0, 3) (C) (4, -3)
Problem 9 :
Find the sum of 2x4 - 3x2 + 5x + 3 and 4x + 6x3 - 6x2 - 1
(A) 2x4 + 6x3 - 9x2 + 9x + 2
(B) 4x4 + 6x3 - 9x2 - 9x
(C) -2x4 + 6x3 + 9x2 - 9x + 2
Problem 10 :
If a/b = 5 then the value of (a - b)/(a + b) is
(A) 1/8 (B) 2/3 (C) 3/4
Problem 11 :
Simplify (x2 - 9)/(2xy - 6y + 5x - 15)
Problem 12 :
ABCDEFGH is cuboid with a square base of side x cm. CG = 20 cm and AG = 28 cm. Calculate the value of x.
1) the answer is -4/3.
2) x = <BOC = 122
3) the answer is 32.
4) the answer is finite set.
5) the n(P) is 1.
6) the answer is {2, 3}
7) it has no solution.
8) the solution is (4, -3)
9) the answer is 2x4 + 6x3 - 9x2 + 9x + 2
10) the answer is 2/3.
11) (x + 3) / (2y + 5)
12) side length of cube is 7.87 cm.
Question 1 :
Given that 0 < x < 1, and set A = {x, x2, x3, x4}, what is the smallest value in set A ?
(A) x (B) x2 (C) x3 (D) x4
(E) cannot be determined
Question 2 :
Sammy has a faulty clock. Every 15 degrees that one of the hands moves, 5 minutes passes. If a hand is initially 5 : 35 PM, in how long will be the hand be at that same position ?
(A) 65 minutes (B) 2 hours (C) 1 hour
(D) 45 minutes (E) 1 hour and 15 minutes
Question 3 :
If (x - 2) (x + 2) = ax2 + bx + c, what is the sum of a, b and c ?
(A) -4 (B) -3 (C) 0 (D) 1 (E) 5
Question 4 :
Natalie walks in a special way. After every 2 steps she takes, she takes 1 step in the opposite direction. She starts at point A and walks forward. When she is 7 steps away from the point A, she has reached her destination point B. How many steps in total did she take to get from point A to B.
(A) 7 (B) 8 (C) 17 (D) 15 (E) 18
Question 5 :
If Cmn = C(m + n), for what value of n is Cmn neither positive nor negative ?
(A) -C (B) -m (C) 2m (D) 0 (E) 1/m
Question 6 :
Two sides of a triangle at 6 and 8. What is the length of the third side ?
(A) 2 (B) 4 (C) 5 (D) 10 (E) Cannot be determined
Question 7 :
2 + (1/3) = 14/b, what is b ?
(A) 3 (B) 6 (C) 7 (D) 9 (E) 28
Question 8 :
The radius of circle A is x and the radius of circle B is 2. If the circumference of circle A is two times the circumference of the circle B, find the value of x.
(A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Question 9 :
In the formula V = r2h, if h is doubled and r is tripled, then V is multiplied by ?
(A) 6 (B) 9 (C) 12 (D) 18 (E) 36
Question 10 :
Max A returns the largest value in the set A, min A returns the lowest value in the set A. For example, max {1, 2, 3} = 3 and min {0, 4, 5} = 0. What is max {min{x, 2x, 3x}, max{x/2, x/4,x/8}} ?
(A) x (B) 2x (C) x/2 (D) 3x
(E) cannot be determined.
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