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. A sum of money invested at a simple interest rate R increases to 5/3 times the original sum after 5 years. The value of R is 10.5% 6.0% 9.0% 13.3% 2. A sum of $50,000 was invested by two partners in a project which yielded $90,000. If the profit was shared in the 3 : 5, what is the difference between the amounts received by the partners? $40,000 $10,000 $30,000 $25,000 $15,000 3. Three locations on the surface of the earth are Mumbai(45°N, 20ºE), Guanzhou(45°N, 40°E) and Ibadan(45°S, 40°E). Which of the following statements are correct?I. Guanzhou and Ibadan are on the same longitude.II. Guanzhou and Ibadan are on the same latitude.III. The difference between the longitudes of Mumbai and Guanzhou is 60°.IV. The difference between the latitudes of Mumbai and Ibadan is 90°. II and III only I and IV only II and IV only I and III only 4. Evaluate: log327 + log36 – log354 1/3 -21 2 1 0 5. If f(x) = x² + 2x - 2, find the least value of f(x) and the corresponding value of x x = -1, f(x) = -3 x = 1, f(x) = -2 x = 0, f(x) = -2 x = -1, f(x) = -4 6. If 1010102 = x10 + 11112, the value of x is 27 19 32 13 7. Two men and six boys can cut a field in 3 hours. If the men work at 3/2 times that of the boys, how many men are required to cut the field in 2 hours? 9 8 6 11 4 8. Choose the word that best completes the sentence:The poor ______ suffering. was were is are 9. The speed of 144 km/hr, expressed in metres per second is 40 20 72 28 36 10. A man bought a wrist watch for $750.00 and re-sold it for $600.00. His percentage loss was? 25% 22.5% 15% 20% 11. Given that tan²θ + sec²θ = 3, the value of θ (for 0°<θ<90°) is 60 degrees 30 degrees 45 degrees 90 degrees 12. If m > n, then which of the following is NOT correct for all values of m and n? 0 < m - n² m² < n -m < -n m² > n² -m² < n² 13. The probability that a sum of 10 will appear in two tosses of a fair die is 1/4 1/6 1/12 5/18 14. Divide (2x³ - xy² + y³) by (x + y) 2x² - y² 2x² + xy 2x² - 2xy + y² 2x² - 2xy 2x² + 2xy + y² 15. The surface area of a sphere of radius 3.5 cm is take (π = 22/7) 179 2/3 cm2 154 cm2 616 cm2 308 cm2 16. The sum of prime numbers between 1 and 15 is 41 39 40 42 17. Please _____ your dog. (Fill in the blanks) stop restrain subdue prevent 18. The volume of a cone of radius 6 cm and vertical height 7 cm is take (π= 22/7) 26.4 cm3 264 cm3 42 cm3 21 cm3 19. An inelastic string of length 1.0 m anchored to a point X has a stone tied to the end Y.How high does the stone rise when the string XY is inclined at 30° to the original vertical position? 0.134 m 1/2 m 1.155 m 0.866 m 20. Jessica sold her airpod set to Tolu at a profit of 10% and Tolu sold it for $2,612.50 at a loss of 5%. What was the cost of the airpod set to Jessica? $2,650 $2,272 $2,375 $2,500 $2,488 21. Choose the word that best completes the sentence:They don`t always agree but I think there is a bond of _______ affection between them. unseen sweet somewhat ugly deep 22. A box contains purple, green and yellow balls in the ratio 8 : 3 : 2. There are 10 yellow balls. If 10 green and 10 purple balls are removed from the bag, find the new ratio. 7 : 1 : 2 7 : 2 : 1 6 : 1 : 2 6 : 1 : 1 6 : 2 : 1 23. Choose the word that best completes the sentence:Microhard seem to have a healthy ____________ for taking over innovative companies. strength apology love appetitie liking 24. If X= {1, 2, 3, 4} and Y = {3, 5, 6}, the elements of (X ∩ Y) ∪ X are {3} {1,2,3,4} {1,2,4} {3,5,6} 25. The prime factors of 1260 are 2,7,9 2,3,7,9 2,3,5,7 2,5,9 26. The subsets X,Y and Z of a universal set are defined asX = {a, e, m, p} ; Y = {a, e, i, o, u} andZ = {l, m, n, o, p, q, r, s, t, u}The elements of X ∪ (Y ∩ Z) are {a, e, m, o, p} {m, p, o, u} {a, e, m, p, u} {a, e, m, o, p, u} 27. If the bearing of New York from Kansas city is 125°, the bearing of Kansas city from New York is? 305° 55° 215° 235° 28. An open, rectangular wooden box of internal depth 40 cm has a base of internal dimensions 50 cm by 30 cm. If the box is made of wood of thickness 1 cm, the total volume of wood in the box is 9,888 cm3 12,000 cm3 8,224 cm3 8,552 cm3 29. Choose the word that best completes the sentence:Elize and Raveshan _____ our new project managers. was are has is 30. Choose the word that best completes the sentence:Forty cents _____ a great bargain for a doll. were are is have 31. Evaluate 4512 ÷ 0.05 correct to three significant figures 902000 902 90200 9020 90240 32. If (2x - 3)/2x(2x + 1) = P/(2x + 1) + Q/2x. What are the values of P & Q respectively? 0, -3 2, -3 4, -3 2, 3 3, 4 33. Choose the word that best completes the sentence:There is always a lot of ________ activity going on but nothing much seems to get done! yellow latest grudging careless frenetic 34. A open cylindrical container has a base radius of 3.5 cm. If the ratio of the area of its base to that of its curved surface is 1 : 6, the height of the container is 10.5 cm 7.0 cm 1.75 cm 3.5 cm 35. If the mean of the numbers 6, 8, 10, x, 2x - 2 is 14. What is the largest number in the group? 30 24 36 20 16 36. If x² > 4x - 3, then 1 < x < 3 x 3 x > 3 x < 1 3 < x < 1 37. The angle of elevation of the top of a tower from an observer on the ground is 60°. If the top of the tower is 100 m away from the observer, how high is the tower? 50 m 173.2 m 86.6 m 200 m 38. Choose the word that best completes the sentence:We need to make sure that there is enough _________ accommodation to house all the delegates. yellow dreadful wholehearted luxury careless 39. By solving equation c³-125 = 0, value of 'c' will be 15 5 20 10 40. A sector of a circle of radius 14 cm which subtends an angle of 120° at the center is bent to form a cone. The base radius of the cone is 7/2 cm 28/3 cm 14/3 cm 14 cm 41. The letters of the word MISSISSIPPI are cut and placed in a bag. If one letter is drawn randomly from the bag, the probability that it is neither an I nor a S is 3/11 8/11 1/2 6/11 42. Choose the word that best completes the sentence:Neither of my daughters ______ like me. looks are look were 43. Choose the word that best completes the sentence:The message between the lines _______ what we need to finish before Monday. are is were was 44. Four books whose authors' surnames start with the letters A, J, P, and W are placed randomly on a shelf. The probability that the books will be arranged in the alphabetical order of the authors' last names is 1/6 4/18 1/4 1/12 1/24 45. The twelfth term of the sequence (x - a), x, (x + a), ... is x + 12a x + 10a x + 9a x + 11a x - 12a 1 out of 45 Time is Up! Time's up