Problems on H.C.F and L.C.M What is the least number when divided by 4, 5, 6, 8 and 10 leaves 3 as remainder? 116 123 121 112 116 123 121 112 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The least number which when divided by 4,5,6,8 and 10 is the LCM of these numbers. But each time to get 3 as remainder, we have to add the remainder 3 to the obtained LCM.LCM of (4, 5, 6, 8, 10)+ 3=120+3=123
Problems on H.C.F and L.C.M The product of the L.C.M. and H.C.F. of two numbers is 24. The difference of two numbers is 2. Find the numbers. 8 and 10 6 and 4 2 and 4 8 and 6 8 and 10 6 and 4 2 and 4 8 and 6 ANSWER DOWNLOAD EXAMIANS APP
Problems on H.C.F and L.C.M Three friends Raju , Ramesh and Sunil start running around a circular stadium and complete a single round in 24 s, 36 s and 40 s, respectively. After how many minutes will they meet against at the sta 5 minutes 8 minutes 7 minutes 6 minutes 5 minutes 8 minutes 7 minutes 6 minutes ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 24 = 3 × 2 × 2 × 2 = 3 × 2³ 36 = 3 × 3 × 2 × 2 = 3² × 2²and 40 = 2 × 2 × 2 × 5 = 5¹ × 23 LCM of 24, 36 and 40 = 3² × 2³ × 5 = 9 × 8 × 5 = 360Hence, they will meet again at the starting point after 360 s, i.e., 6 min
Problems on H.C.F and L.C.M Which of the following fractions is the largest? 31/40 7/8 63/80 13/16 31/40 7/8 63/80 13/16 ANSWER DOWNLOAD EXAMIANS APP
Problems on H.C.F and L.C.M The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is: 18 48 24 36 18 48 24 36 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be 3x and 4x. Then, their H.C.F. = x. So, x = 4.So, the numbers 12 and 16.L.C.M. of 12 and 16 = 48.
Problems on H.C.F and L.C.M Find the greatest number that will divide 400, 435 and 541 leaving 9, 10 and 14 as remainders respectively 16 17 18 19 16 17 18 19 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP HCF of (400-9, 435-10, 541-14)HCF of (391, 425, 527) = 17
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