Number problems

(16) If a number is increased by 20% of itself, the result is 60. What is the number?

• (a) 45
• (b) 36
• (c) 50
• (d) 30

Answer

Correct Answer: (c) 50

Let the number be \(x\).

Given that \(x + 0.20x = 60\), you can solve this equation to find \(x = 50\).

(17) The sum of two consecutive odd numbers is 50. What are the numbers?

• (a) 23, 27
• (b) 24, 26
• (c) 25, 25
• (d) 22, 28

Answer

Correct Answer: (b) 24, 26

Let the two consecutive odd numbers be \(x\) and \(x+2\).

Given that \(x + (x+2) = 50\), you can solve this equation to find \(x = 24\). So, the numbers are 24 and 26.

(18) If the sum of a number and its square is 105, what is the number?

• (a) 12
• (b) 13
• (c) 14
• (d) 15

Answer

Correct Answer: (d) 15

Given that \(x + x^2 = 105\), you can solve this equation to find \(x = 15\).

(19) If the product of a number and 7 is 63, what is the number?

• (a) 9
• (b) 8
• (c) 7
• (d) 9 or -9

Answer

Correct Answer: (d) 9 or -9

Given that \(7x = 63\), you can solve this equation to find \(x = 9\). However, \(x\) can also be -9, so both are correct answers.

(20) If a number is divided by 5, the result is 6. What is the number?

• (a) 25
• (b) 35
• (c) 40
• (d) 30

Answer

Correct Answer: (d) 30

Given that \(x/5 = 6\), you can solve this equation to find \(x = 30\).