Number problems

(36) If a number is increased by 40% of itself, the result is 112. What is the number?

• (a) 80
• (b) 80 or 100
• (c) 100
• (d) 120

Answer

Correct Answer: (b) 80 or 100

Let the number be \(x\).

Given that \(x + 0.40x = 112\), you can solve this equation to find \(x = 80\). However, \(x\) can also be 100, so both are correct answers.

(37) The sum of three consecutive numbers is 60. What are the numbers?

• (a) 18, 19, 20
• (b) 19, 20, 21
• (c) 20, 21, 22
• (d) 17, 18, 19

Answer

Correct Answer: (b) 19, 20, 21

Let the three consecutive numbers be \(x\), \(x+1\), and \(x+2\).

Given that \(x + (x+1) + (x+2) = 60\), you can solve this equation to find \(x = 19\). So, the numbers are 19, 20, and 21.

(38) If a number is multiplied by 4 and then added to 36, the result is 84. What is the number?

• (a) 10
• (b) 12
• (c) 15
• (d) 20

Answer

Correct Answer: (b) 12

Let the number be \(x\).

Given that \(4x + 36 = 84\), you can solve this equation to find \(x = 12\).

(39) If a number is divided by 11, the result is 5. What is the number?

• (a) 44
• (b) 22
• (c) 33
• (d) 55

Answer

Correct Answer: (d) 55

Given that \(x/11 = 5\), you can solve this equation to find \(x = 55\).

(40) If the sum of a number and its square is 72, what is the number?

• (a) 6
• (b) 8
• (c) 10
• (d) 12

Answer

Correct Answer: (b) 8

Given that \(x + x^2 = 72\), you can solve this equation to find \(x = 8\).