Number problems

(46) If a number is increased by 60% of itself, the result is 150. What is the number?

• (a) 90
• (b) 90 or 100
• (c) 100
• (d) 120

Answer

Correct Answer: (b) 90 or 100

Let the number be \(x\).

Given that \(x + 0.60x = 150\), you can solve this equation to find \(x = 90\). However, \(x\) can also be 100, so both are correct answers.

(47) The product of three consecutive natural numbers is 2520. What are the numbers?

• (a) 7, 8, 9
• (b) 7, 8, 9
• (c) 8, 9, 10
• (d) 6, 7, 8

Answer

Correct Answer: (b) 7, 8, 9

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

Given that \(x \cdot (x+1) \cdot (x+2) = 2520\), you can solve this equation to find \(x = 7\). So, the numbers are 7, 8, and 9.

(48) If the sum of a number and its square is 90, what is the number?

• (a) 8
• (b) 9
• (c) 10
• (d) 11

Answer

Correct Answer: (b) 9

Given that \(x + x^2 = 90\), you can solve this equation to find \(x = 9\).

(49) If a number is multiplied by 5 and then added to 25, the result is 60. What is the number?

• (a) 7
• (b) 7 or 7.5
• (c) 7.5
• (d) 6.5

Answer

Correct Answer: (b) 7 or 7.5

Let the number be \(x\).

Given that \(5x + 25 = 60\), you can solve this equation to find \(x = 7\). However, \(x\) can also be 7.5, so both are correct answers.

(50) If a number is divided by 4, the result is 12. What is the number?

• (a) 24
• (b) 48
• (c) 16
• (d) 36

Answer

Correct Answer: (b) 48

Given that \(x/4 = 12\), you can solve this equation to find \(x = 48\).