What is the largest number which when divides 34 90 and 104 leave the same remainder in each case?

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Problems on H.C.F and L.C.M

Find the greatest number which divides 34, 90, and 104 and leaves the same remainder in each case.

What is the largest number which when divides 34 90 and 104 leave the same remainder in each case?

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Find the greatest number which divides 34, 90, and 104 and leaves the same remainder in each case.

A. 15 B. 17 C. 14 D. 18 View Answer Workspace Share View Answer Answer : Option C Explanation :

Difference between numbers = 90-34 = 56, and 104- 90=14

HCF of 56 and 14 = 14

Hence, 14 is the largest number which divides the given number and leaves the same remainder in each case.

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H.C.F and L.C.M Aptitude Test Paper 4

16) There are two numbers. HCF of both the numbers is 11, and their LCM is 693. If the first number is 77, find the second number?

89 56 78 99

17) Find the greatest number which divides 34, 90, and 104 and leaves the same remainder in each case.

15 17 14 18

18) What is the least multiple of 7 which when divided by 6, 9, 15, and 18 respectively, leaves 4 as the remainder in each case?

364 255 385 266

19) Which least number should be subtracted from 1936 so that the resulting number, when divided by 9, 10, and 15, will leave the same remainder 8 in each case?

39 38 37 36

20) Find the least number which when divided by 5, 6, 7, and 8 leaves remainder 3, but when divided by 9 leaves remainder 0.

843 1683 2523 3363

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Aptitude Katta » Aptitude » Problems on HCM and LCM

Problems on HCM and LCM with easy explaination and shortcut tricks. All questions and answers on HCM and LCM covered for various Competitive Exams

What is the largest number which when divides 34 90 and 104 leave the same remainder in each case?

Problems on HCM and LCM

Post published: March 13, 2020 Post category: Aptitude Post comments: 0 Comments

Problems on HCM and LCM.

11) The LCM of two numbers is 8919, and their sum is 1000. The two numbers are:

993 and 7 989 and 11 991 and 9 987 and 13 View Answer

12) If the LCM of two numbers is 70 and their HCF is 2, find the numbers.

2, 35 6, 70 4, 70 14, 10 View Answer

13) Three different containers contain 496 liters, 403 liters, and 713 liters of water, respectively. What is the capacity of the biggest container that can measure three different quantities evenly?

1 liter 7 liters 31 liters 41 liters View Answer

14) The least number which when divided by 2, 3, 4, 5 and 6 leaves the same remainder 1 in each case. If the same number is divided by 7, it leaves no remainder. Find the number.

231 301 371 441 View Answer

15) Which is the greatest three-digit number which when divided by 6, 9 and 12 leaves a remainder of 3 in each case?

975 996 939 903 View Answer

16) There are two numbers. HCF of both the numbers is 11, and their LCM is 693. If the first number is 77, find the second number?

89 56 78 99 View Answer

17) Find the greatest number which divides 34, 90, and 104 and leaves the same remainder in each case.

15 17 14 18 View Answer

18) What is the least multiple of 7 which when divided by 6, 9, 15, and 18 respectively, leaves 4 as the remainder in each case?

364 255 385 266 View Answer

19) Which least number should be subtracted from 1936 so that the resulting number, when divided by 9, 10, and 15, will leave the same remainder 8 in each case?

39 38 37 36 View Answer

20) Find the least number which when divided by 5, 6, 7, and 8 leaves remainder 3, but when divided by 9 leaves remainder 0.

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