Subject
Quantitative Aptitude
Topic
LCM & HCF
The H.C.F and L.C.M of two numbers are 11 and 385 respectively. If one number lies between 75 and 125 , then that number is
The H.C.F and L.C.M of two numbers are 11 and 385 respectively. If one number lies between 75 and 125 , then that number is
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77খ)
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110Explanation
Product of numbers = 11 x 385 = 4235 Let the numbers be 11a and 11b . Then , 11a x 11b = 4235 => ab = 35 Now, co-primes with product 35 are (1,35) and (5,7) So, the numbers are ( 11 x 1, 11 x 35) and (11 x 5, 11 x 7) Since one number lies 75 and 125, the suitable pair is (55,77) Hence , required number = 77Related questions
If HCF(a,b) = 12, LCM(a,b) = 420, and a < b, then a + b = ?The HCF of three numbers is 8 and their LCM is 1680. If two of the numbers are 56 and 120, what is the third number?The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:What is the least number when divided by 4,5,6 leaves remainder 3 in each case?If a² - b² = 48 and ab = 140, then what is the HCF(a,b)?The smallest number which when diminished by 7, is divisible by 12, 16, 18, 21 and 28 isIf 2ⁿ × 3ᵐ × 5ᵖ = 1500, then n + m + p = ?L.C.M of two prime numbers x and y (x>y) is 161. The value of 3y-x is :