Selected MCQ

Current Question
If ratio of two numbers is 3:5 and difference is 20, numbers are ____.
  • A. 30 and 50
  • B. 40 and 60
  • C. 20 and 40
  • D. 25 and 45
Correct Answer: A
Explanation:
Difference = 2 parts → 1 part = 10.
Related Question 1
If the ratio of two numbers is 7:9 and their difference is 10, what is the smaller number?
  • A. 25
  • B. 30
  • C. 35
  • D. 45
Correct Answer: C
Explanation:
Difference = 2 parts ⇒ 1 part = 5 ⇒ smaller = 35.
Related Question 2
Two numbers are in the ratio 5: 4 and their difference is 10. What is the larger number ____.
  • A. 40
  • B. 50
  • C. 60
  • D. 30
Correct Answer: B
Explanation:
Difference = x → x=10 → numbers = 5x,4x.
Related Question 3
Four prime numbers in ascending order have the smallest difference. Find the smallest.
  • A. 5
  • B. 7
  • C. 11
  • D. 13
Correct Answer: A
Explanation:
The closest primes start at 5.
Related Question 4
Sum of two numbers is 25, and the difference is 13. Find product.
  • A. 104
  • B. 114
  • C. 315
  • D. 325
Correct Answer: B
Explanation:
Solve simultaneous equations.
Related Question 5
If the difference of two numbers is 12 and their product is 180, the numbers are ____.
  • A. 6 and 30
  • B. 10 and 18
  • C. 12 and 15
  • D. 9 and 20
Correct Answer: B
Explanation:
Solve x² − 12x − 180 = 0 → roots = 18 and 10.