Computer Based Test Summary
0 of 51 Questions and Solutions completed
Questions:
Information
You have already completed the computer based test before. Hence you can not start it again.
Computer Based Test is loading…
You must sign in or sign up to start the computer based test.
You must first complete the following:
Results
Results
0 of 51 Questions and Solutions answered correctly
Your time:
Time has elapsed
You have reached 0 of 0 point(s), (0)
Earned Point(s): 0 of 0, (0)
0 Essay(s) Pending (Possible Point(s): 0)
Categories
 Not categorized 0%
 1
 2
 3
 4
 5
 6
 7
 8
 9
 10
 11
 12
 13
 14
 15
 16
 17
 18
 19
 20
 21
 22
 23
 24
 25
 26
 27
 28
 29
 30
 31
 32
 33
 34
 35
 36
 37
 38
 39
 40
 41
 42
 43
 44
 45
 46
 47
 48
 49
 50
 51
 Current
 Review
 Answered
 Correct
 Incorrect

Question and Solution 1 of 51
1. Question
1. A trader bought 100 oranges at 5 for N1.20, 20 oranges got spoilt and the remaining were sold at 4 for N1.50. Find the percentage gain or loss.
CorrectIncorrect 
Question and Solution 2 of 51
2. Question
2. What is the answer when 2434 base 6 is divided by 42 base 6?
CorrectIncorrect 
Question and Solution 3 of 51
3. Question
3. If 2 base 9 x (Y3) base 9 = 3 base 5 x (Y3) base 5, find the value of Y
CorrectIncorrect 
Question and Solution 4 of 51
4. Question
4. If m∗n=( m/nn/m) for m, n belong to R, evaluate 3*4
CorrectIncorrect 
Question and Solution 5 of 51
5. Question
5. The sum of two numbers is twice their difference. If the difference of the numbers is P, find the larger of the two numbers
CorrectIncorrect 
Question and Solution 6 of 51
6. Question
6. A binary operation * is defined by a*b = ab+a+b for any real number a and b. if the identity element is zero, find the inverse of 2 under this operation.
CorrectIncorrect 
Question and Solution 7 of 51
7. Question
7. Divide 4x^3 – 3x + 1 by 2x – 1
CorrectIncorrect 
Question and Solution 8 of 51
8. Question
8. Find the tangent to the acute angle between the lines 2x + y = 3 and 3x – 2y = 5.
CorrectIncorrect 
Question and Solution 9 of 51
9. Question
9. Find the equation of the locus of a point P(x,y) such that PV = PW, where V = (1,1) and W = (3,5)
CorrectIncorrect 
Question and Solution 10 of 51
10. Question
10. Find the area bounded by the curve y = x(2x). The xaxis, x = 0 and x = 2.
CorrectIncorrect 
Question and Solution 11 of 51
11. Question
11.
CorrectIncorrect 
Question and Solution 12 of 51
12. Question
12. Find the value of x for which the function y = x^3 – x has a minimum value.
CorrectIncorrect 
Question and Solution 13 of 51
13. Question
13. If the minimum value of y = 1 + hx – 3x^2 is 13, find h.
CorrectIncorrect 
Question and Solution 14 of 51
14. Question
14. If the population of a town was 240,000 in January 1998 and it increased by 2% each year, what would be the population of the town in January, 2000?
CorrectIncorrect 
Question and Solution 15 of 51
15. Question
15. If 314 base 10 – 256 base 7 = 340x, find x
CorrectIncorrect 
Question and Solution 16 of 51
16. Question
16. A binary operation * is defined by a * b = ab. If a * 2 = 2 – a, find the possible values of a
CorrectIncorrect 
Question and Solution 17 of 51
17. Question
17. Find the inverse of p under the binary operation * defined by p*q = p + q – pq, where p and q are real numbers and zero is the identity
CorrectIncorrect 
Question and Solution 18 of 51
18. Question
18. if (x – 1), (x + 1) and (x – 2) are factors of the polynomial ax^3 + bx2 + cx – 1, find a, b, c in that order.
CorrectIncorrect 
Question and Solution 19 of 51
19. Question
19. 3y = 4x – 1 and Ky = x + 3 are equations of two straight lines. If the two lines are perpendicular to each other, find K.
CorrectIncorrect 
Question and Solution 20 of 51
20. Question
20. If P and Q are fixed points and X is a point that moves so that XP = XQ, the locus of X is
CorrectIncorrect 
Question and Solution 21 of 51
21. Question
21. If the mean of the numbers 0, (x+2), (3x+6), and (4x+8) is 4, find their mean deviation.
CorrectIncorrect 
Question and Solution 22 of 51
22. Question
22. In how many ways can a delegation of 3 be chosen from among 5 men and 3 women, if at least one man and at least one woman must be included?
CorrectIncorrect 
Question and Solution 23 of 51
23. Question
23. The variance of x, 2x, 3x, 4x and 5x is
CorrectIncorrect 
Question and Solution 24 of 51
24. Question
24. A function f(x) passes through the origin and its first derivative is 3x + 2. What is f(x)?
CorrectIncorrect 
Question and Solution 25 of 51
25. Question
25. The expression ax^2 + bx + c equals 5 at x = 1. If its derivative is 2x + 1, what are the values of a, b, c respectively?
CorrectIncorrect 
Question and Solution 26 of 51
26. Question
26. Evaluate 21.05347 – 1.6324 x 0.43 to 3 decimal places
CorrectIncorrect 
Question and Solution 27 of 51
27. Question
27. A car dealer bought a secondhand car for N250,000 and spent N70,000 refurbishing it. He then sold the car for N400,000. What is the percentage gain?
CorrectIncorrect 
Question and Solution 28 of 51
28. Question
28. A point P moves such that it is equidistant from Points Q and R. Find QR when PR = 8cm and angle PRQ = 30°
CorrectIncorrect 
Question and Solution 29 of 51
29. Question
29. Find the value of P if the line joining (P, 4) and (6, 2) is perpendicular to the line joining (2, P) and (1, 3).
CorrectIncorrect 
Question and Solution 30 of 51
30. Question
30. P(6, 1) and Q(6, 6) are the two ends of the diameter of a given circle. Calculate the radius.
CorrectIncorrect 
Question and Solution 31 of 51
31. Question
31. Find the area bounded by the curves y = 4 – x2 and y = 2x + 1
CorrectIncorrect 
Question and Solution 32 of 51
32. Question
32. Find the rate of change of the volume, V of a sphere with respect to its radius, r when r = 1.
CorrectIncorrect 
Question and Solution 33 of 51
33. Question
33.
CorrectIncorrect 
Question and Solution 34 of 51
34. Question
34. If dy/dx = 2x – 3 and y = 3 when x = 0, find y in terms of x.
CorrectIncorrect 
Question and Solution 35 of 51
35. Question
35. The time taken to do a piece of work is inversely proportional to the number of men employed. if it takes 45 men to do a piece of work in 5 days, how long will it take 25 men?
CorrectIncorrect 
Question and Solution 36 of 51
36. Question
36. Find the maximum value of y in the equation y = 1 – 2x – 3×2
CorrectIncorrect 
Question and Solution 37 of 51
37. Question
37. If x varies directly as √n and x = 9 when n = 9, find x when n = (17/9)
CorrectIncorrect 
Question and Solution 38 of 51
38. Question
38. Find the coordinates of the midpoint of x and y intercepts of the line 2y = 4x – 8
CorrectIncorrect 
Question and Solution 39 of 51
39. Question
39. The locus of a point P which is equidistant from two given points S and T is
CorrectIncorrect 
Question and Solution 40 of 51
40. Question
40. The range of the data: k+2, k3, k+4, k2, k, k5, k+3, k1, and k+6 is
CorrectIncorrect 
Question and Solution 41 of 51
41. Question
41. How many threedigit numbers can be formed from 32564 without repeating any of the digits?
CorrectIncorrect 
Question and Solution 42 of 51
42. Question
42. The mean of a set of six numbers is 60. If the mean of the first five is 50, find the sixth number in the set.
CorrectIncorrect 
Question and Solution 43 of 51
43. Question
43. Simplify 213 base 4 x 23 base 4
CorrectIncorrect 
Question and Solution 44 of 51
44. Question
43. A cinema hall contains a certain number of people. If 22 1/2% are children, 47 1/2% are men and 84 are women, find the number of men in the hall.
CorrectIncorrect 
Question and Solution 45 of 51
45. Question
45. The sum of four numbers is 12145. What is the average expressed in base five?
CorrectIncorrect 
Question and Solution 46 of 51
46. Question
46. Find the midpoint of the line joining P(3, 5) and Q(5, 3).
CorrectIncorrect 
Question and Solution 47 of 51
47. Question
47. The mean age of a group of students is 15 years. When the age of a teacher, 45 years old, is added to the age of the students, the mean of their ages becomes 18 years. Find the number of the students in the group
CorrectIncorrect 
Question and Solution 48 of 51
48. Question
48. A farmer planted 5000 grains of maize and harvested 5000 cobs, each bearing 500 grains. What is the ratio of the number of grains sowed to the number harvested?
CorrectIncorrect 
Question and Solution 49 of 51
49. Question
49. Three boys shared some oranges. The first received 1/3 of the oranges and the second received 2/3 of the remaining. If the third boy received the remaining 12 oranges, how many oranges did they share
CorrectIncorrect 
Question and Solution 50 of 51
50. Question
50. Two lines PQ and ST intersect at 75°. The locus of points equidistant from PQ and ST lies on the
CorrectIncorrect 
Question and Solution 51 of 51
51. Question
51.
Hint for Solution:
CorrectIncorrect