CAT Question Bank - Ordered & Unordered Solutions
Number of Questions - 30
Topic - Ordered & Unordered Solutions
Answer key available? - Yes
Source - Curated Content
Q1) Find the number of ordered and unordered solutions for x * y * z = 100
Q2) HCF of 2 numbers is 13 and their sum is 2080. How many such pairs are possible ?
Q3) Find the number of ordered and unordered integral solutions for the equation 1/m + 1/n = 1/143
Q4) The sum of two non– co-prime numbers added to their HCF gives us 221. How many such unordered pairs are possible? (in numerical value)
Q5) How many ordered pairs (a, b) exist such that LCM of a and b is 360?
Q6) Number of ways 3600 can be written as a product of 3 numbers whose HCF = 1 ? (ordered and unordered)
Q7) LCM of three numbers is equal to 1080 and their HCF is equal to 2. How many such triplets are possible. (ordered and unordered)
Q8) How many ordered and unordered pairs (x, y) possible if x^2 - y^2 = 90000 and x & y are integers.
Q9) In how many ways can 216000 be written as product of 3 numbers
- ordered positive integral
- ordered integral
- unordered positive integral
- unordered integral
Q10) How many ordered and unordered triplets of non-negative integers (a, b, c) are there such that
root(a) + root(b) + root(c) = root(625)
Q11) The LCM of two numbers is 2900% more than their HCF. How many pairs of such numbers exist ?
(ordered and unordered)
Q12) Find the number of ordered pair of digits (A,B) such that A3640548981270644B is divisible by 99.
Q13) if a! × b!=(a * b)!
a and b both are less than equal to 100 then how many ordered pair of (a, b) possible
e. None of these
Q14) The LCM of three positive integers a,b,c is 119^2. Find the total number of ordered triplets (a,b,c).
Q15) if n is an odd multiple of 3, in how many ways can 2^n can be expressed as a product of 3 factors?
Q16) a + b +c = 100, then many positive integral solutions exist such that a > b > c
Q17) How many pairs of numbers have their LCM as 144?
Q18) How many ways can 1000 be expressed as product of 3 natural numbers ?
Also, How many ways can 1000 be expressed as product of 3 integers ?
Q19) How many distinct natural number solutions exist for a + b + c = 999