Common Entrance Examination Questions Mathematics and Quantitative Reasoning

MATHEMATICS AND QUANTITATIVE  APTITUDE TEST

INSTRUCTION 

Work the problems below carefully and choose the correct answer from the alternatives A-E given. Only one of the answers in the option is correct. Work very fast and answer the questions.

1. If the area of a square is 36 square units, what is the length of a side of the square?  A. 36units  B. 6units  C. 5units  D. 3units  E. 4units
2. The number will be multiplied with 12 to give you a value that is 2 times 66.  A. 33  B. 22  C. 21  D. 11  E. 34
3. A discount of 25% is allowed for a television marked ₦2,500.00 in a supermarket. How much will a buyer pay for the television?  A. ₦500.00  B. ₦3.125.00  C. ₦2,000.00  D. ₦4,000.00  E. ₦1,875.00 
4. What is the difference between the sum of all even numbers from 1 to 10?  A. 30  B. 25  C. 6  D. 5  E. 35
5. Ngozi is twice as old as Shola and Jumai is younger than Shola. What is the possible age of Jumai if Ngozi is 21 years old?  A. 10⅟2 years  B. 11 years  C. 12 years  D. 9 years  E. 42 years
6. A driver was travelling at speed of 90km/h and after 3hours, the vehicle developed a mechanical problem and could not move again. What distance did the vehicle cover?  A. 0km  B. 270km  C. 90km  D. 24km  E. 990km
7. 3(3x-1)-⅓(3x-9)  A. 8x  B. 5x-1  C. 5x  D. 5X+2  E. 5X+1
8. Tonye was 6yrs old in the year 1997, how old will he be in the year 2008?  A. 15 yrs  B. 11 yrs  C. 4 yrs  D. 8 yrs  E. 17 yrs
9. Write in words: 14,300.  A. forty thousand three hundred  B. one and four hundred three  C. one hundred forty three hundred  D. fourteen and three hundred  E. fourteen thousand and three hundred
10. Round off 38,208 to the nearest tens.  A. 38,210  B. 38,200  C. 38,000  D. 38,021  E. 38,208
11. 31,400-9,725-638=  A. 21,675  B. 38,200  C. 38, 021  E. 38,208
12. Ego is 11 years 8 months old. Her sister; Ngozi is 1 year 2 months older than her. Find the sum of their ages.  A. 20 years 2months  B. 22 years 2 months  C. 24 years 2 months  D. 24 years 6 months  E. 25 years 6 months
13. Which of the following is not quadrilateral?  A. Trapezium  B. Rectangle  C. Rhombus  D. Equilateral triangle  E. Parallelogram 
14. Garba invests ₦800 for 5 months at 3% simple interest per year. Calculate the interest he receives.  A. ₦24.00  B. ₦4,000.00  C. ₦10.00  D. ₦5.00  E. Nothing
15. A man whose monthly salary was ₦30,000.00 receives an increase 20. Calculate his present monthly salary.  A. ₦2,800.00  B. ₦600.00  C. ₦36,000.00  D. ₦7,200.00  E. ₦4,600.00
16. Find the simple interest on ₦240.00 for 2 years at 5%  A. ₦24.00  B. 10.00  C. ₦48.00  D. ₦120.00  E. ₦480.00
17. Divide 49.5 by 0.5  A. 44  B. 109  C. 45  D. 99  E. 49
18. Write 0.06 as a fraction.  A. 6/10  B. 3/50  C. 16/20  D. 1/6  E. 60/100
19. A train takes 12hours 40minutes to travel from Ido to Mokwa. If it leaves Ido at 7:30 am on Sunday, what time will it arrive at Mokwa?  A. 7:30 pm  B. 9:00 pm  C. 8:10 pm  D. 12:00 noon  E. 12:40 pm
20. Write down the next term in the following sequence 1,3,6,10,15…….  A. 30  b. 18  C. 20  D. 16  E. 21
21. A Nigerian family went to England for holiday. The total cost of the holiday was E4347.00. in the family, there were 2 adults and 3 children. The cost for one adult was twice the cost for one child. Calculate the cost for one child.  A. E621  B. E600  C. E106  D. E43.47  E. E400

This coded message was sent from the intelligence unit of a Navy of an Air Force. Try and decode it.

Alphabet  Y      N    E   S    L    C    R    A     I     P    U    O    D    T    B    M

Code         33    1    4   0   16   2   13   7    3    12  20   8     9    17  5     6

1. What is the code of OBAMA?  A. 82630  B. 10627  C. 30677  D. 80767  E. 30107
2. Which of the figures represent CAPTURED?  A. 2,7,13,12,17,20,4,9  

1. 2,3,17,4,9,13,7,2 
2. 20,12,17,20,13,4,9  
3. 27,17,20,13,4,9  
4. 27,12,17,20,13,13,4,9

1. Bin Laden is coded in these figures…………….  A. 1,3,5,16,9,7,3,1 

1. 1,3,9,7,16,1,3,5  
2. 9,3,1,16,7,5,3,1  
3. 5,3,1,1,6,7,9,4,1  
4. 5,3,1,9,3,1,7,16

1. Which of the following is not true about a square?  A. the diagonals are equal to the sides  B. perimeter equals four times one side  C. it is four sided  D. all sides are equal  E. area equals square of one side
2. What is the value of digit 7 in 275123?  A. 70,000  B.7,000  C. 700  D. 700,000  E. 70
3. Correct 89.6162 to two decimal places.  A. 90.62  B.90.00  C. 89.62  D.89.61  E. 89.60
4. Add ₦40.34 and ₦8.96.  A. ₦48.30  B. ₦49.30  C. ₦50.10  D. ₦120.30  E. ₦129.30
5. Kudi and Ladi share 20 oranges in the ratio 2.3. how many oranges has Ladi?  A. 4  B. 6  C. 10  D. 12  E. 20

Abdulahi, Sola and Chike went to pick mangoes. Abdulahi picked 15 mangoes, Chke picked 10 and Sola picked only 5. Chike then decided to give Sola 2 of his mangoes while Abdulahi gave of his.

1. How many mangoes did Sola have?  A. 5  B. 7  C. 8  D. 11  E. 13
2. Who has the smallest number of oranges?  A. Chike  B. Sola  C. Abdullahi  D. Chike and Sola  E. Abdullahi and Sola
3. How many more mangoes had Abdullahi than Chike?  A. 15  B. 9  C. 7  D. 5  E. 1
4. Covert 3/2 to decimal  A. 0.475  B. 0.375  C. 0.275  D. 0.038  E. 0.037
5. Find the product of 8.02 and 6.1 and correct your answer to the nearest whole number.  A. 5  B. 14  C 48  D. 49  E. 4
6. How many pieces of ribbon each of 6cm long can be cut from a roll of 24m long?  A. 40,000  B. 4,000  C. 400  D. 40  E. 4
7. Express 6.25 as a percentage of 25  A. 20%  B. 15%  C. 12.5%  D. 18%  E. 25%
8. Write in figure this number: One hundred and five thousand and six.  A.1,050,006  B. 105,006  C. 15,006  D. 10,506  E. 1,506
9. 175g+10g=?g  A. 185  B. 475  C. 4750  D. 10175  E. 11750
10. I bought six pencils at 5k each but sold them 3k each. What was my percentage loss?  A. 10%  B.16%  C. 20%  D. 30%  E. 40%
11. If 1.60+6.25-T=5.47, what is T?  A. 13.32  B. 11.72  C.2.38  D. 1.32  E. 0.78
12. Dupe’s father was 24years old in 1980. How old was he in 2002?  A. 30years  B.44years  C.48years  D.54years  E.46years
13. The product of two prime numbers is 143. What is the sum of the number?  A. 24  B.39  C.13  D.26  E.11
14. What must be added to 2/5 of 625 to make it 505.  A. 255  B. 250  C. 125  D. 380  E. 305
15. A piece of work is done by 12 men in 9 days. How many men can do the work in 12 days?  A.9  B.12  C.6  D.18  E.16
16. What is the HCF of 12,15 and 18?  A. 3  B. 5  C.90  D.360  E.180
17. The perimeter of a lawn is 200metres. If the width is 20metres, what is the length?  A.60m  B.100m  C.80m D.160m  E.120m

The number 5324163 represents the word “MEDIATE”. Use the information to answer the questions that follows

1. What does the number “2163” represent?  A. MEAT  B. TEAM  C.DIET  D. DATE  E. DEEM
2. What does “316” represent?  A. EAT  B. ATE  C.TEA  D.TIE  E. MET
3. What number represents the word “DATED”?  A. 21632  B. 24362  C. 15234  D. 21362  E. 43262
4. What does “1542” represent?  A. MEAN  B. AIMED  C. AMID  D.AIDE  E. DIED
5. A rectangular prism has a volume of 48 cubic units, a width of 4 units, and a height of 3 units. What is the length of the prism? A. 2 units B. 4 units C. 6 units D. 8 units E. 12 units
6. If the perimeter of a triangle is 30 units and one side measures 10 units, what is the measure of the other two sides?A. 10 units B. 15 units C. 12 units D. 20 units E. 25 units
7. If x is equal to 3 and y is equal to 5, what is the value of 2x + 3y? A. 11 B. 15 C. 18 D. 21 E. 25
8. If the area of a circle is 50π square units, what is the diameter of the circle? A. 5 units B. 10 units C. 15 units D. 20 units E. 25 units
9. If a container can hold 100 liters of liquid and is currently filled with 80 liters, how much more liquid can the container hold? A. 20 liters B. 25 liters C. 30 liters D. 35 liters E. 40 liters
10. If a box measures 12 inches by 8 inches by 5 inches, what is the volume of the box? A. 48 cubic inches B. 60 cubic inches C. 80 cubic inches D. 96 cubic inches E. 120 cubic inches
11. If a car travels 60 miles in one hour, how many miles will it travel in 2 hours? A. 120 miles B. 90 miles C. 80 miles D. 70 miles E. 100 miles
12. If a shirt is marked at $20 and is on sale for 25% off, how much will the shirt cost? A. $5 B. $15 C. $18 D. $20 E. $25