<![CDATA[CAT Question Bank - Ordered & Unordered Solutions]]>Number of Questions - 30
Topic - Ordered & Unordered Solutions
Answer key available? - Yes
Source - Curated Content
]]>https://www.mbatious.com/topic/944/cat-question-bank-ordered-unordered-solutionsRSS for NodeTue, 23 Apr 2019 00:12:40 GMTWed, 25 Oct 2017 12:03:20 GMT60<![CDATA[Reply to CAT Question Bank - Ordered & Unordered Solutions on Tue, 26 Dec 2017 08:59:44 GMT]]>Number of Questions - 30
Topic - Ordered & Unordered Solutions
Answer key available? - Yes
Source - Curated Content
]]>https://www.mbatious.com/post/5731https://www.mbatious.com/post/5731Tue, 26 Dec 2017 08:59:44 GMT<![CDATA[Reply to CAT Question Bank - Ordered & Unordered Solutions on Invalid Date]]>Q1) Find the number of ordered and unordered solutions for x * y * z = 100
]]>https://www.mbatious.com/post/5732https://www.mbatious.com/post/5732Invalid Date<![CDATA[Reply to CAT Question Bank - Ordered & Unordered Solutions on Wed, 25 Oct 2017 12:37:39 GMT]]>Q2) HCF of 2 numbers is 13 and their sum is 2080. How many such pairs are possible ?
]]>https://www.mbatious.com/post/5733https://www.mbatious.com/post/5733Wed, 25 Oct 2017 12:37:39 GMT<![CDATA[Reply to CAT Question Bank - Ordered & Unordered Solutions on Invalid Date]]>Q3) Find the number of ordered and unordered integral solutions for the equation 1/m + 1/n = 1/143
]]>https://www.mbatious.com/post/5734https://www.mbatious.com/post/5734Invalid Date<![CDATA[Reply to CAT Question Bank - Ordered & Unordered Solutions on Invalid Date]]>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)
]]>https://www.mbatious.com/post/5735https://www.mbatious.com/post/5735Invalid Date<![CDATA[Reply to CAT Question Bank - Ordered & Unordered Solutions on Invalid Date]]>Q5) How many ordered pairs (a, b) exist such that LCM of a and b is 360?
]]>https://www.mbatious.com/post/5736https://www.mbatious.com/post/5736Invalid Date<![CDATA[Reply to CAT Question Bank - Ordered & Unordered Solutions on Invalid Date]]>Q6) Number of ways 3600 can be written as a product of 3 numbers whose HCF = 1 ? (ordered and unordered)
]]>https://www.mbatious.com/post/5737https://www.mbatious.com/post/5737Invalid Date<![CDATA[Reply to CAT Question Bank - Ordered & Unordered Solutions on Invalid Date]]>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)
]]>https://www.mbatious.com/post/5738https://www.mbatious.com/post/5738Invalid Date<![CDATA[Reply to CAT Question Bank - Ordered & Unordered Solutions on Invalid Date]]>Q8) How many ordered and unordered pairs (x, y) possible if x^2 - y^2 = 90000 and x & y are integers.
]]>https://www.mbatious.com/post/5739https://www.mbatious.com/post/5739Invalid Date<![CDATA[Reply to CAT Question Bank - Ordered & Unordered Solutions on Invalid Date]]>Q9) In how many ways can 216000 be written as product of 3 numbers

ordered positive integral

ordered integral

unordered positive integral

unordered integral

]]>https://www.mbatious.com/post/5740https://www.mbatious.com/post/5740Invalid Date<![CDATA[Reply to CAT Question Bank - Ordered & Unordered Solutions on Invalid Date]]>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)
]]>https://www.mbatious.com/post/5741https://www.mbatious.com/post/5741Invalid Date<![CDATA[Reply to CAT Question Bank - Ordered & Unordered Solutions on Invalid Date]]>Q11) The LCM of two numbers is 2900% more than their HCF. How many pairs of such numbers exist ?
(ordered and unordered)
]]>https://www.mbatious.com/post/5742https://www.mbatious.com/post/5742Invalid Date<![CDATA[Reply to CAT Question Bank - Ordered & Unordered Solutions on Invalid Date]]>Q12) Find the number of ordered pair of digits (A,B) such that A3640548981270644B is divisible by 99.
]]>https://www.mbatious.com/post/5743https://www.mbatious.com/post/5743Invalid Date<![CDATA[Reply to CAT Question Bank - Ordered & Unordered Solutions on Invalid Date]]>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
a. 0
b. 100
c. 200
d. 202
e. None of these
]]>https://www.mbatious.com/post/5744https://www.mbatious.com/post/5744Invalid Date<![CDATA[Reply to CAT Question Bank - Ordered & Unordered Solutions on Invalid Date]]>Q14) The LCM of three positive integers a,b,c is 119^2. Find the total number of ordered triplets (a,b,c).
a. 400
b. 361
c. 289
d. 225
]]>https://www.mbatious.com/post/5745https://www.mbatious.com/post/5745Invalid Date<![CDATA[Reply to CAT Question Bank - Ordered & Unordered Solutions on Invalid Date]]>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?
a) n
b) n^2/3
c) (n+6)^2/9
d) (n+3)^2/12
e) (2n+3)/3
]]>https://www.mbatious.com/post/5746https://www.mbatious.com/post/5746Invalid Date<![CDATA[Reply to CAT Question Bank - Ordered & Unordered Solutions on Invalid Date]]>Q16) a + b +c = 100, then many positive integral solutions exist such that a > b > c
]]>https://www.mbatious.com/post/5747https://www.mbatious.com/post/5747Invalid Date<![CDATA[Reply to CAT Question Bank - Ordered & Unordered Solutions on Wed, 25 Oct 2017 12:23:48 GMT]]>Q17) How many pairs of numbers have their LCM as 144?
a) 22
b) 21
c) 18
d) 23
]]>https://www.mbatious.com/post/5748https://www.mbatious.com/post/5748Wed, 25 Oct 2017 12:23:48 GMT<![CDATA[Reply to CAT Question Bank - Ordered & Unordered Solutions on Invalid Date]]>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 ?
]]>https://www.mbatious.com/post/5749https://www.mbatious.com/post/5749Invalid Date<![CDATA[Reply to CAT Question Bank - Ordered & Unordered Solutions on Invalid Date]]>Q19) How many distinct natural number solutions exist for a + b + c = 999
]]>https://www.mbatious.com/post/5750https://www.mbatious.com/post/5750Invalid Date<![CDATA[Reply to CAT Question Bank - Ordered & Unordered Solutions on Wed, 25 Oct 2017 12:44:47 GMT]]>Q20) How many different triangles are there with integer sides and with perimeter = 2009?
]]>https://www.mbatious.com/post/5751https://www.mbatious.com/post/5751Wed, 25 Oct 2017 12:44:47 GMT<![CDATA[Reply to CAT Question Bank - Ordered & Unordered Solutions on Invalid Date]]>Q21) Number of ways of distributing 10 distinct balls in 3 identical boxes?
]]>https://www.mbatious.com/post/5752https://www.mbatious.com/post/5752Invalid Date<![CDATA[Reply to CAT Question Bank - Ordered & Unordered Solutions on Invalid Date]]>Q22) In how many ways can 14 identical toys be distributed among 3 boys, such that each boy gets at least one toy and no two boys get the same number of toys?
]]>https://www.mbatious.com/post/5753https://www.mbatious.com/post/5753Invalid Date<![CDATA[Reply to CAT Question Bank - Ordered & Unordered Solutions on Invalid Date]]>Q23) How many ordered pairs of integers (a, b), are there such that their product is a positive integer less than 100? Also, if (a,b) is not different from (b,a), then how many such pairs are possible?
]]>https://www.mbatious.com/post/5754https://www.mbatious.com/post/5754Invalid Date<![CDATA[Reply to CAT Question Bank - Ordered & Unordered Solutions on Invalid Date]]>Q24) In how many ways can 83 be expressed as the sum of two natural numbers that are coprime to each other?
]]>https://www.mbatious.com/post/5755https://www.mbatious.com/post/5755Invalid Date<![CDATA[Reply to CAT Question Bank - Ordered & Unordered Solutions on Invalid Date]]>Q25) Find the number of ordered triplets (a, b, c ) such that b = a + 2 and c = ab - 2 and a, b , and c are prime numbers.
a) only one
b) only two
c) infinitely many
d) none
]]>https://www.mbatious.com/post/5756https://www.mbatious.com/post/5756Invalid Date