Number problems

(41) If a number is increased by 75% of itself, the result is 140. What is the number?

• (a) 80
• (b) 80 or 96
• (c) 96
• (d) 120

Answer

Correct Answer: (b) 80 or 96

Let the number be \(x\).

Given that \(x + 0.75x = 140\), you can solve this equation to find \(x = 80\). However, \(x\) can also be 96, so both are correct answers.

(42) The product of two consecutive odd numbers is 143. What are the numbers?

• (a) 13, 11
• (b) 11, 13
• (c) 15, 17
• (d) 9, 11

Answer

Correct Answer: (b) 11, 13

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

Given that \(x \cdot (x+2) = 143\), you can solve this equation to find \(x = 11\). So, the numbers are 11 and 13.

(43) If the sum of a number and its cube is 252, what is the number?

• (a) 4
• (b) 6
• (c) 8
• (d) 9

Answer

Correct Answer: (d) 9

Given that \(x + x^3 = 252\), you can solve this equation to find \(x = 9\).

(44) If the product of a number and 7 is 119, what is the number?

• (a) 13
• (b) 14
• (c) 15
• (d) 17

Answer

Correct Answer: (d) 17

Given that \(7x = 119\), you can solve this equation to find \(x = 17\).

(45) If a number is divided by 9, the result is 6. What is the number?

• (a) 54
• (b) 54
• (c) 63
• (d) 45

Answer

Correct Answer: (b) 54

Given that \(x/9 = 6\), you can solve this equation to find \(x = 54\).