Number problems

(26) If a number is increased by 25% of itself, the result is 75. What is the number?

• (a) 50
• (b) 60
• (c) 45
• (d) 70

Answer

Correct Answer: (b) 60

Let the number be \(x\).

Given that \(x + 0.25x = 75\), you can solve this equation to find \(x = 60\).

(27) The sum of two consecutive even numbers is 94. What are the numbers?

• (a) 46, 48
• (b) 46, 48
• (c) 45, 47
• (d) 44, 46

Answer

Correct Answer: (b) 46, 48

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

Given that \(x + (x+2) = 94\), you can solve this equation to find \(x = 46\). So, the numbers are 46 and 48.

(28) If a number is divided by 8, the result is 9. What is the number?

• (a) 17
• (b) 72
• (c) 64
• (d) 81

Answer

Correct Answer: (b) 72

Given that \(x/8 = 9\), you can solve this equation to find \(x = 72\).

(29) If a number is multiplied by 5 and then subtracted from 75, the result is 60. What is the number?

• (a) 3
• (b) 10
• (c) 15
• (d) 3 or 15

Answer

Correct Answer: (d) 3 or 15

Let the number be \(x\).

Given that \(75 – 5x = 60\), you can solve this equation to find \(x = 3\). However, \(x\) can also be 15, so both are correct answers.

(30) If a number is multiplied by 3 and then added to 27, the result is 45. What is the number?

• (a) 6
• (b) 9
• (c) 10
• (d) 6 or 9

Answer

Correct Answer: (d) 6 or 9

Let the number be \(x\).

Given that \(3x + 27 = 45\), you can solve this equation to find \(x = 6\). However, \(x\) can also be 9, so both are correct answers.