# NTC Professional General Knowledge Past Questions and Answers (NUMERACY 2)

The **Professional General Knowledge** aspect consist of three sections thus **(Literacy, Numeracy and Essential Skills) **

Here are the most related all questions and answer that may come from the **Professional General Knowledge** exams

**QUESTIONS AND ANSWERS ON NUMERACY**

Question: The sum of two consecutive even integers is 34. What are the integers?

a) 15, 17

b) 16, 18

c) 17, 19

d) 18, 20

**Answer: c) 17, 19**

Question: The perimeter of a rectangle is 38 meters. If the length is 12 meters, what is the width?

a) 7 meters

b) 8 meters

c) 9 meters

d) 10 meters

**Answer: b) 8 meters**

Question: Mary bought a shirt for $25 and a pair of jeans for $40. She spent a total of $85. What is the cost of the shirt in dollars?

a) $30

b) $35

c) $40

d) $45

**Answer: a) $30**

Question: The sum of three consecutive odd integers is 51. What are the integers?

a) 15, 17, 19

b) 17, 19, 21

c) 19, 21, 23

d) 21, 23, 25

**Answer: b) 17, 19, 21**

Question: If 5 times a number is decreased by 8, the result is 22. Find the number.

a) 6

b) 8

c) 10

d) 12

**Answer: d) 12**

Question: The sum of two numbers is 45. If one-third of the first number is added to the second number, the result is 30. Find the two numbers.

a) 10, 35

b) 15, 30

c) 20, 25

d) 25, 20

**Answer: c) 20, 25**

Question: The difference between a number and 12 is equal to one-fourth of the number. Find the number.

a) 8

b) 12

c) 16

d) 20

**Answer: c) 16**

Question: The sum of a number and its square is equal to 90. Find the number.

a) 9

b) 10

c) 11

d) 12

**Answer: b) 10**

Question: The temperature in Fahrenheit is 20 degrees less than four times the temperature in Celsius. If the Fahrenheit temperature is 68 degrees, what is the Celsius temperature?

a) 10°C

b) 15°C

c) 20°C

d) 25°C

**Answer: b) 15°C**

Question: A company sells a product for $50, and the total revenue from selling x units is given by R(x) = 50x. If the company’s revenue is $3,000, how many units were sold?

a) 50

b) 60

c) 70

d) 80

**Answer: c) 70**

Question: Maria needs at least $500 to buy a laptop. She already has $350 saved. What inequality represents the amount she still needs to save (x represents the amount she needs to save)?

a) x + 350 ≥ 500

b) 350 – x ≥ 500

c) x – 350 ≥ 500

d) x ≤ 500 – 350

**Answer: d) x ≤ 500 – 350**

Question: The cost of printing x books is given by C(x) = 3x + 100. What is the cost of printing 20 books?

a) $60

b) $100

c) $120

d) $160

**Answer: c) $120**

Question: The sum of a number and 6 is less than or equal to twice the number. Find the inequality that represents this situation (x represents the number).

a) x + 6 ≤ 2x

b) x + 6 ≥ 2x

c) x ≤ 2x + 6

d) x ≥ 2x + 6

**Answer: a) x + 6 ≤ 2x**

Question: The cost of a movie ticket is $12.50. Cindy has $50 to spend on tickets. How many tickets (t) can she buy without going over her budget? Write the inequality.

a) 12.5t ≤ 50

b) 12.5t ≥ 50

c) t ≤ 50 – 12.5

d) t ≥ 50 + 12.5

**Answer: a) 12.5t ≤ 50**

Question: The length of a rectangle is 8 meters more than twice its width. If the width is w, which equation represents the length of the rectangle (l)?

a) l = 2w + 8

b) l = 2w – 8

c) l = 8w + 2

d) l = 8w – 2

**Answer: a) l = 2w + 8**