Basic Mathematical Questions For UAS and Entrance Exams

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(These questions are sample questions according to the exam questions, we cannot guarantee that the same questions will come in exams)

Note: These are basic mathematics questions for you to practice, this thread will be updated according to new questions that come in exams.

First Edition: 10/18/2024 (Added questions problem set 1 with 25 questions and problem 2 with 25 questions)

Problem Set 1

1. If 12 workers can complete a task in 15 days, how many days will it take 20 workers to complete the same task, assuming the rate of work is constant?

a) 6 days
b) 9 days
c) 7 days
d) 8 days
e) 10 days


2. A company sells a product for 200€, earning a profit of 25%. What is the cost price of the product?

a) 150€
b) 160€
c) 180€
d) 175€
e) 190€

 
3. How many seconds are there in one week?

a) 604,800
b) 432,000
c) 518,400
d) 360,000
e) 1,000,000

 
4. A jar contains 4 red, 3 blue, and 5 green marbles. If two marbles are picked at random, what is the probability that both are blue?

a) 1/22
b) 1/10
c) 1/20
d) 3/11
e) 1/5

 
5. A person buys 50 shares at 20€ each and sells them at 25€ each. What is the percentage gain? 

a) 10%
b) 20%
c) 25%
d) 30%
e) 50%

 
6. A piece of machinery depreciates at a rate of 10% per year. If its current value is 10,000€, what will be its value after 2 years?

a) 8,100€
b) 7,500€
c) 8,000€
d) 9,000€
e) 9,200€

 
7. A group of friends contributes equally to buy a gift costing 120€. If each person contributes 15€, how many friends are in the group?

a) 6
b) 8
c) 10
d) 12
e) 14

 
8. The average of four numbers is 18. If three of the numbers are 12, 15, and 21, what is the fourth number?

a) 20

b) 24
c) 30
d) 12
e) 25

 
9. A shopkeeper gives a discount of 10% on the marked price and still makes a profit of 8%. If the marked price is 100€, what is the cost price?

a) 80€
b) 85€
c) 82€
d) 75€
e) 90€

 
10. A student’s score in an exam increases from 70 to 85. What is the percentage increase?

a) 10%
b) 15%
c) 21.43%
d) 12.5%
e) 17.5%

 
11. The product of two numbers is 180 and their ratio is 3:5. What are the numbers?

a) 15 and 30
b) 18 and 60
c) 12 and 36
d) 9 and 45
e) 20 and 45
12. A car travels 150 km in 3 hours. How much distance will it cover in 5 hours at the same speed?

 

a) 200 km
b) 250 km
c) 300 km
d) 275 km
e) 400 km

 
13. How many diagonals does a hexagon have?

a) 6
b) 7
c) 8
d) 9
e) 12

 
14. If 5x + 3 = 28, what is the value of x?

a) 4
b) 5
c) 6
d) 8
e) 7

 
15. A man is three times as old as his son. In 12 years, he will be twice as old. How old is the son now?

a) 8
b) 12
c) 6
d) 10
e) 9

 
16. The average of five consecutive numbers is 15. What is the largest number?

a) 13
b) 15
c) 17
d) 19
e) 21

 
18. If a product’s price is increased by 10% and then decreased by 10%, what is the net percentage change in the price?

a) 1% increase
b) 1% decrease
c) 0%
d) 2% decrease
e) 5% increase

 
19. A factory produces 200 widgets per hour. How many widgets will it produce in 7.5 hours?

a) 1200
b) 1400
c) 1500
d) 1600
e) 1700

 
20. The interest on a loan is 5% per year. How much interest will accrue on a loan of 1,000€ after 2 years?

a) 100€
b) 50€
c) 200€
d) 150€
e) 300€

 
21. If the perimeter of a square is 40 meters, what is the area of the square?

a) 50 m²
b) 64 m²
c) 100 m²
d) 400 m²
e) 25 m²

 
22. If 40% of a number is 80, what is the number?

a) 100
b) 150
c) 200
d) 180
e) 250

 
23. The total cost of 4 pens and 5 notebooks is 50€. If one notebook costs 5€, what is the cost of one pen?

a) 5€
b) 8€
c) 4€
d) 7€
e) 6€

 
24. A rectangular field has a length of 12 meters and a width of 8 meters. What is the area of the field?

a) 96 m²
b) 100 m²
c) 88 m²
d) 120 m²
e) 144 m²

 
25. If a person earns 2,000€ per month and spends 60% of it, how much money does the person save each month?

a) 600€
b) 800€
c) 1,000€
d) 1,200€
e) 1,400€

 
26. The population of a town increases by 10% annually. If the current population is 10,000, what will the population be after 2 years?

a) 11,000
b) 12,100
c) 12,000
d) 11,500
e) 13,000

 

Problem Set 2

1. How many percent is one second out a 24-hour day?

a. 0.069%

b. 0.0012%

c. 0.041%

d. 4.1%

e. 0.00069%

2. What is the price if 0.02 percent of it is 0.01€?

a) 0.000002€

b) 0.0002E

c) 0.5€

d) 20€

e) 50€

3. I have sons but no daughters. Each of my sons has twice as many brothers as he has children. Each of my sons has the same number of children. Each of my grandchildren has as many cousins as uncles. How many grandchildren do I have?

a)1

b)2

c)3

d)4

e)6




4. A company’s employees work in three teams. In team 1, there are 6 females and 2 males. In team 2, there are 4 females and 3 males. In team 3, there are 4 females and 2 males. One person is chosen randomly from each team. What is the possibility that all three persons chosen are males?

a) 1/28

b) 1/27

c) 1/8

d) ½

e) 1/9




5. The discounted price of a product is 75.56€ when the discount is 16%. What was the original price of the product?

a) 89.95€

b) 87.65€

c) 63.47€

d) 91.56€

e) 88.74€






6) A factory has 112 workers. They have decided to change from an 8-hour working day into a 7-hour working day. How many more employees does the company need to hire in order to keep the factory running as before?

a) 14

b) 15

c) 12

d) 16

d) 11




7) If(x*x-1)=4, what is the value of statement x*x-(x-1)(x+1)-1?

a) 8

b) -1

c) 0

d) 16

d) -16




8) A factory manufactures cell phones. The probability of a defective product is 4%. Five phones are chosen randomly. What is the probability that none of them is defective?

a) 96%

b) 80% c)20%

d) 84.9%

e) 81.5%




9) How many different arrangements can be formed out of the letters of PRODUCTS, keeping P as the first and S as the last letter?

a) 720

b) 20160

c) 40320

d) 360

e) 120




10) B is 50 percent bigger than C and C is 50 percent bigger than A. Which of the following statements is correct?

a) B is 100% bigger than A

B) B is 25% bigger than A

c) B is twice as big as A

d) B is 125% bigger than A

e) The ratio between A and B can not be determined


11) When Bob was four years old, his mother was 32. Now the mother is 3 times older than Bob. How old is Bob now?

a) 6 

b)10 

c)14 

d)24 

e)42


12. What is the next letter in the sequence: Y, V, R, M, ..?

a) I

B) H

c) G

d) F

d) E


13. The price of a product was decreased by 12%, which caused the sales of the product to increase by 25%. How man percent did the income from the sales change?

a) 13%

b) 10%

c) 15%

d) 25%

d) 37%


14. The normal price of a laptop’s is 899€. In a sale, its price is reduced to 599.95€. How many

percent is the discount?

a) 49,8%

b) 50,2%

c) 66,7%

d) 33,3%

e) 29,9%


15. The currency exchange rates are 1 EUR = 1.2140 USD and 1 GBP = 1.3464 USD. What is the exchange rate between EUR and GBP?

a) 1 EUR = 1.1091 GBP

b) 1 EUR = 0.9017 GBP

c) 1 EUR = 1.6345 GBP

d) 1 EUR = 0.8237 GBP

e) 1 EUR = 0.6188 GBP

16. How many hours are there in one week?

a) 144

b) 120

c) 168

d) 160

e) 180

17. A company produces widgets at a cost of 12€ each and sells them at a profit margin of 25%. What is the selling price?

a) 14.4€

b) 15€

c) 18€

d) 19€

e) 20€

18. A box contains 8 red, 7 green, and 5 blue balls. If 3 balls are randomly picked, what is the probability that all 3 are red?

a) 1/16

b) 2/91

c) 1/56

d) 3/19

e) 1/28

19. If 3x - 2 = 13, what is the value of 2x + 5?

a) 5

b) 12

c) 9

d) 19

e) 11

20. A company reduces its expenses by 15% and then again by 10%. What is the overall percentage decrease?

a) 25%

b) 22.5%

c) 23.5%

d) 13.5%

e) 24.5%

21. The perimeter of a rectangular field is 80 meters. If the length is twice the width, what is the length of the field?

a) 20 m

b) 40 m

c) 30 m

d) 60 m

e) 25 m

22. A student spends 6 hours studying, which is 30% of their total day. How many hours are in the student's total day?

a) 12

b) 16

c) 20

d) 18

e) 14

23. A shopkeeper marks up the price of a product by 40% and then offers a discount of 20%. If the original cost is 50€, what is the final price?

a) 50€

b) 60€

c) 48€

d) 56€

e) 45€

24. How many different arrangements can be formed from the letters of the word "ENGINEERING" keeping all vowels together?

a) 15120

b) 30240

c) 7560

d) 5040

e) 60480

25. If the speed of a car is increased by 20%, by what percentage will the time required to travel a fixed distance decrease?

a) 16.67%

b) 20%

c) 25%

d) 30%

e) 15%