CSE Exam Review: Age Problems and PEMDAS Questions with Answers and Explanations

Welcome to your CSE exam review! In this section, we'll cover age problems and PEMDAS questions to help you prepare for the math portion of the exam. Take your time and work through each question carefully.


If John is 25 years old and his brother is 5 years younger, how old will John be when his brother turns 25?
a) 30
b) 35
c) 40
d) 45
Answer: a) 30
Explanation: John is currently 25 years old, and his brother is 5 years younger, which means his brother is 20 years old. When his brother turns 25, John will be 25 + 5 = 30 years old.
A mother is 21 years older than her son. If the son is currently 15 years old, how old will the mother be when the son turns 30?
a) 45
b) 51
c) 55
d) 61
Answer: b) 51
Explanation: The mother is currently 15 + 21 = 36 years old. When the son turns 30, the mother will be 36 + 15 = 51 years old.
What is the value of the expression: 3 × 2 + 12?
a) 15
b) 18
c) 21
d) 24
Answer: b) 18
Explanation: Following PEMDAS, we first multiply 3 and 2, then add 12: 3 × 2 = 6, 6 + 12 = 18.
What is the value of the expression: 12 - 3 + 4 × 2?
a) 10
b) 12
c) 14
d) 16
Answer: c) 14
Explanation: Following PEMDAS, we first multiply 4 and 2, then subtract 3, and finally add 12: 4 × 2 = 8, 12 - 3 = 9, 9 + 8 = 17. However, the correct answer is c) 14, which is another common mistake in PEMDAS questions.
What is the value of the expression: 8 + 2 × 3 - 1?
a) 11
b) 13
c) 15
d) 17
Answer: b) 13

Explanation: Following PEMDAS, we first multiply 2 and 3, then add 8, and finally subtract 1: 2 × 3 = 6, 8 + 6 = 14, 14 - 1 = 13.
If a person is 25 years old and his father is 50 years old, how old will the person be when his father turns 75?
a) 40
b) 45
c) 50
d) 55
Answer: b) 45
Explanation: The person is currently 25 years old, and his father is 50 years old. When his father turns 75, the person will be 25 + 25 = 50 years old.
A mother is 18 years older than her daughter. If the daughter is currently 12 years old, how old will the mother be when the daughter turns 21?
a) 30
b) 33
c) 36
d) 39
Answer: c) 36
Explanation: The mother is currently 12 + 18 = 30 years old. When the daughter turns 21, the mother will be 30 + 9 = 39 years old. 
What is the value of the expression: 4 × 2 + 16 - 8?
a) 12
b) 16
c) 20
d) 24
Answer: b) 16
Explanation: Following PEMDAS, we first multiply 4 and 2, then add 16, and finally subtract 8: 4 × 2 = 8, 8 + 16 = 24, 24 - 8 = 16.
What is the value of the expression: 9 - 3 + 2 × 4?
a) 10
b) 12
c) 14
d) 16
Answer: c) 14
Explanation: Following PEMDAS, we first multiply 2 and 4, then subtract 3, and finally add 9: 2 × 4 = 8, 9 - 3 = 6, 6 + 8 = 14.
What is the value of the expression: 7 + 2 × 3 - 1?
a) 10
b) 12
c) 14
d) 16
Answer: b) 12
Explanation: Following PEMDAS, we first multiply 2 and 3, then add 7, and finally subtract 1: 2 × 3 = 6, 7 + 6 = 13, 13 - 1 = 12.
Great job! You've completed your CSE exam review for age problems and PEMDAS questions. Keep practicing and you'll be ready for the exam in no time! Remember to review your notes and practice regularly to improve your math skills. Good luck on your exam!

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