Selected MCQ

Current Question
18 cattle graze a field in 12 days. 6 cattle graze 3 such fields in how many days ____.
  • A. 90
  • B. 72
  • C. 36
  • D. 108
Correct Answer: D
Explanation:
Work ratio method.
Related Question 1
15 cattle graze a field in 20 days. In how many days will 20 cattle graze the same field ____.
  • A. 30
  • B. 45
  • C. 60
  • D. 50
Correct Answer: B
Explanation:
Work ∝ cattle × days → 15×20 = 20×x.
Related Question 2
The product of two numbers is 2028, and their HCF is 13. How many such pairs exist?
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Correct Answer: B
Explanation:
Factorization yields two valid coprime pairs.
Related Question 3
In how many ways can 5 boys and 3 girls sit in a row such that all boys sit together?
  • A. 4800
  • B. 5760
  • C. 2880
  • D. 15000
Correct Answer: C
Explanation:
Treat boys as one unit → 4!×5! = 2880.
Related Question 4
In a hospital, injections last 15 days. If the number of patients increases, for how many days will they last?
  • A. 10
  • B. 15
  • C. 16
  • D. 12
Correct Answer: A
Explanation:
Increased consumption reduces duration.
Related Question 5
If 9 workers can complete a job in 6 days, how many days will 3 workers take?
  • A. 12
  • B. 15
  • C. 18
  • D. 20
Correct Answer: C
Explanation:
Work = 54 ⇒ 54/3 = 18.