Latest Capgemini Aptitude Question SOLUTION: How many pairs of positive integers x, y exist such that HCF of x, y = 35 and sum of x and y = 1085? A)12 B)8 C)8 D)30

• Placement Papers
• /
• Capgemini
• /
• Numerical Ability
• /
• LCM and HCF

Capgemini Question Papers: Capgemini Interview Experience(7) CAPGEMINI Company Profile

(#M40166731) CAPGEMINI Numerical Ability question Keep an EYE

How many pairs of positive integers x, y exist such that HCF of x, y = 35 and sum of x and y = 1085?
A)12 B)8 C)8 D)30

Asked In Capgemini Devendra Marghade (4 years ago)

Unsolved Read Solution (1)

Is this Puzzle helpful?   (1)   (3) Submit Your Solution LCM and HCF

Read Solution (1) :

Nayan mondal  (4 years ago)

let x=35a
y=35b,
x+y=35(a+b);
1085=35(a+b);
a+b=31;
We need to find pairs of co-prime integers that add up to 31,
Since 31 is prime. All pairs of integers that add up to 31 will be co-prime to each other. Or, there are totally 15 pairs that satisfy this condition
so the ans is 15;

Is this solution Helpfull? Yes (2) | No (1)  

Please Login to Read Solution.