Question 6
The sum of two numbers is 135 and their HCF is 9. How many such pairs of numbers can be formed ?
Solution
Let the two numbers be $$9x$$ and $$9y$$, where $$x$$ and $$y$$ are co prime numbers.
=> $$9x+9y=135$$
=> $$x+y=\frac{135}{9}=15$$
Now, pairs of natural numbers having sum 15 and co prime are = (1,14), (2,13), (4,11), (7,8)
Thus, 4 such pairs can be formed.
=> Ans - (C)
Video Solution
Create a FREE account and get:
- All Quant Formulas and shortcuts PDF
- 40+ previous papers with solutions PDF
- Top 500 MBA exam Solved Questions for Free
CAT Quant Questions | CAT Quantitative Ability
CAT Number Systems QuestionsCAT Remainders QuestionsCAT Progressions and Series QuestionsCAT Profit And Loss QuestionsCAT Arithmetic Questions
CAT DILR Questions | LRDI Questions For CAT
CAT Data change over a period QuestionsCAT Charts QuestionsCAT Games and Tournamnents QuestionsCAT DI with connected data sets QuestionsCAT Truth Lie Concept Questions
