150 + Interview Questions in HCF AND LCM in Mathematics Page 2 InterviewSolution

51.	What Is the greatest number which will divide 110 and 128 leaving a remainder 2 in each case 1). 82). 183). 284). 38
Answer» Its very SIMPLE QUESTION 18 is the CORRECT ANSWER.

Discussion

52.	The traffic lights at three different road crossings change after 24 seconds. 36 seconds and 64 seconds respectively. If they all change simultaneously at 10: 15: 00 AM. then at what time will they again change simultaneously1). 10 : 16 : 54 AM2). 10 : 18 : 36 AM3). 10 : 17 : 02 AM4). 10 : 22 : 12 AM
Answer» Its TOUGH but OPTION 2 SEEMS CORRECT

Discussion

53.	The least number, which when divided by 4. 5 and 6 leaves remainder 1,2 and 3 respectively, is1). 572). 593). 614). 63
Answer» This question was asked some where in PREVIOUS year papers of ssc, and CORRECT ANSWER was 57

Discussion

54.	The smallest number, which, when divided by 12 or 10 or 8, leaves remainder 6 in each case, is1). 2462). 1863). 1264). 66
Answer» OPTION 3 : - 186

Discussion

55.	The greatest number, which when divide 989 and 1327 leave remainders 5 and 7 respectively, is :1). 82). 163). 244). 32
Answer» is OPTION 3 is the CORRECT ANSWER am i RIGHT

Discussion

56.	What least number must be subtracted from 1936 so that the resulting number when divided by 9, 10 and 15 will leave in each case the same remainder 7 1). 372). 363). 394). 30
Answer» 39

Discussion

57.	The smallest number, which when Increased by 5 is divisible by each of 24,32, 36 and 564, is1). 8692). 8593). 43204). 427
Answer» I THINK 859 is RIGHT

Discussion

58.	Find the greatest number which will exactly divide 200 and 320.1). 102). 203). 164). 40
Answer» is OPTION 4 is the CORRECT ANSWER am i RIGHT

Discussion

59.	The H.C.F. and L.C.M. of two 2- digit numbers are 16 and 480 respectively. The numbers are :1). 40,482). 60,723). 64,804). 80,96
Answer» i THINK OPTION 4 is CORRECT

Discussion

60.	If the students of a class can be grouped exactly into 6 or 8 or 10, then the minimum number of students in the class must be1). 602). 1203). 1804). 240
Answer» OPTION option 2 is the CORRECT ANSWER

Discussion

61.	When a number is divided by 15. 20 or 35. each time the remainder is 8. Then the smallest number is1). 4282). 4273). 3284). 338
Answer» RIGHT ANSWER is 428

Discussion

62.	The greatest number that will divide 729 and 901 leaving remainders 9 and 5 respectively, is1). 152). 163). 194). 20
Answer» OPTION 2 is the ANSWER

Discussion

63.	The H.C.F. of two numbers is 8. Which one of the following can never be their L.C.M.1). 242). 483). 564). 60
Answer» CORRECT ANSWER is: 60

Discussion

64.	Five bells begin to toll together and toll respectively at intervals of 6, 7, 8, 9 and 12 seconds. After how many seconds will they toll together again 1). 72 Sec.2). 612 Sec.3). 504 Sec.4). 318 Sec.
Answer» OPTION 3 is the CORRECT answer as per the answer key

Discussion

65.	The greatest number that divides 411, 684, 821 and leaves 3, 4 and 5 as remainders, respectively, is1). 2542). 1463). 1364). 204
Answer» 146 is the ANSWER

Discussion

66.	The LCM and the HCF of the numbers 28 and 42 are in the ratio:1). 6:12). 2:33). 3:24). 7:2
Answer» OPTION 1 is the RIGHT ANSWER

Discussion

67.	What is the least number of square tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad1). 8402). 8413). 8204). 814
Answer» 814 SEEMS CORRECT.

Discussion

68.	The product of two numbers is 2160 and their HCF is 12. Number of such possible pairs is1). 12). 23). 34). 4
Answer» OPTION 2 is the RIGHT ONE

Discussion

69.	The largest number, which divides 25, 73 and 97 to leave the same remainder In each case, is1). 242). 233). 214). 6
Answer» OPTION 1 is the ANSWER

Discussion

70.	The largest 4-digit number exactly divisible by each of 12, 15, 18 and 27 is1). 96902). 97203). 99304). 9960
Answer» it from PREVIOUS year ssc PAPERS, option 2 is the right answer

Discussion

71.	Three numbers which are coprime to one another are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is :1). 752). 813). 854). 89
Answer» OPTION option 3 is the CORRECT ANSWER

Discussion

72.	The LCM of two numbers is 30 and their HCF is 5. One of the number is 10. The other is1). 202). 253). 154). 5
Answer» is OPTION 3 is the CORRECT ANSWER am i RIGHT

Discussion

73.	A number x is divisible by 7. When this number is divided by 8, 12 and 16. It leaves a remainder 3 in each case. The least value of x is:1). 1482). 1493). 1504). 147
Answer» I have READ it SOMEWHERE 147 is CORRECT

Discussion

74.	The least number which when divided by 16, 18. 20 and 25 leaves 4 as remainder in each case but when divided by 7 leaves no remainder is1). 170042). 180003). 180024). 18004
Answer» OPTION 4 is the ANSWER

Discussion

75.	The LCM of two positive integers is twice the larger number. The difference of the smaller number and the GCD of the two numbers is 4.The smaller number is :1). 122). 63). 84). 10
Answer» option 3 is the CORRECT ANSWER as PER the answer key

Discussion

76.	The sum of two numbers is 36 and their H.C.F. is 4. How many pairs of such numbers are possible 1). 12). 23). 34). 4
Answer» CORRECT ANSWER is: OPTION 3

Discussion

77.	A milkman has 75 litres milk in one can and 45 litres in another. The maximum capacity of container which can measure milk of either container exact number of times is :1). 1 litre2). 5 litres3). 15 litres4). 25 litres
Answer» 15 LITRES is CORRECT

Discussion

78.	The number nearest to 10000, which is exactly divisible by each of 3, 4, 5, 6, 7 and 8, is :1). 92402). 100803). 99964). 10000
Answer» This question was ASKED some where in previous year PAPERS of ssc, and CORRECT ANSWER was 10080

Discussion

79.	Which greatest number will divide 3026 and 5053 leaving remainders 11 and 13 respectively1). 182). 303). 454). 60
Answer» ANSWER for this QUESTION is 30

Discussion

80.	The least number to be subtracted from 36798 to get a number which is exactly divisible by 78 is1). 182). 603). 384). 68
Answer» OPTION 2 : - 60

Discussion

81.	If A nad B are the H.C.F and L.C.M. respectively of two algebraic expressions x and y, and A + B = x + y, then the value of $A^{3}+B^{3}$is1). $X^{3}-Y^{3}$2). $X^{3}$3). $Y^{3}$4). $X^{3}+Y^{3}$
Answer» OPTION 4 is the RIGHT ANSWER

Discussion

82.	The sum of two numbers is 84 and their HCF is 12. Total number of such pairs of number is1). 22). 33). 44). 5
Answer» RIGHT ANSWER for this QUESTION is 3

Discussion

83.	The HCF of two numbers 12906 and 14818 is 478. Their LCM is1). 4000862). 2000433). 6001294). 800172
Answer» 400086

Discussion

84.	The least number, which when divided by 18, 27 and 36 separately leaves remainders 5,14 , and 23 respectively, is1). 952). 1133). 1494). 77
Answer» Its very SIMPLE QUESTION 95 is the CORRECT ANSWER.

Discussion

85.	The L.C.M. of two toies numbers is 20 their H.C.F. The sum of H C.F. and L.C.M. is 2520. If one of the number is 480, the other number is :1). 4002). 4803). 5204). 600
Answer» 600

Discussion

86.	The greatest number, by which 1657 and 2037 are divided to give remainders 6and 5 respectively, is1). 1272). 1333). 2354). 305
Answer» RIGHT ANSWER for this QUESTION is 127

Discussion

87.	The greatest four digit number which is exactly divisible by each one of the numbers 12, 18, 21 and 28 is1). 98282). 92883). 98824). 9928
Answer» Its very SIMPLE QUESTION 9828 is the CORRECT ANSWER.

Discussion

88.	The LCM of two numbers is 864 and their HCF is 144. If one of the number is 288. the other number is :1). 5762). 12963). 4324). 144
Answer» I am not SURE, MAY be 1296 is CORRECT

Discussion

89.	The product of the LCM and HCF of two numbers is 24. The difference of the two numbers is 2. Find the numbers 1). 8 and 62). 8 and 103). 2 and 44). 6 and 4
Answer» I have READ it SOMEWHERE 6 and 4 is CORRECT

Discussion

90.	The HCF and LCM of two numbers are 18 and 378 respectively. If one of the number is 54, then the other number is1). 1262). 1443). 1984). 238
Answer» I THINK 126 is RIGHT

Discussion

91.	The sum of two numbers is 45. Their difference is $\frac{1}{9}$ of their sum. Their L.C.M is1). 2002). 2503). 1004). 150
Answer» This question was ASKED some where in previous YEAR papers of ssc, and CORRECT answer was OPTION 3

Discussion

92.	Four bells ring at the intervals of 5, 6, 8 and 9 seconds . All the bells ring simultaneously at some time. They will again ring simultaneously after1). 6 minutes2). 12 minutes3). 18 minutes4). 24 minutes
Answer» 6 minutes is the CORRECT ANSWER as PER the SSC answer key

Discussion

93.	The HCF (GCD) of a, b is 12. a, b are positive integers and a > b > 12. The smallest values of (a,b) are respectively1). 12,242). 24,123). 24,364). 36,24
Answer» 36,24 : - OPTION 4

Discussion

94.	The product of two numbers is 1280 and their H.C.F. is 8. The L.C.M. of the number will be :1). 1602). 1503). 1204). 140
Answer» OPTION option 1 is the CORRECT ANSWER

Discussion

95.	The greatest number by which 2300 and 3500 are divided leaving the remainders of 32 and 56 respectively, is1). 1372). 1683). 424). 84
Answer» i THINK OPTION 4 is CORRECT

Discussion

96.	The LCM of two multiples of 12 is 1056. If one of the number is 132, the other number is1). 122). 723). 964). 132
Answer» 96

Discussion

97.	A milk vendor has 21 litres of cow milk. 42 litres of toned milk and 63 litres of double toned milk. If he wants to pack them in cans so that each can contains same litres of milk and does not want to mix any two kinds of milk in a can, then the least number of cans required Is1). 32). 63). 94). 12
Answer» I THINK OPTION 2 is the RIGHT ANSWER

Discussion

98.	The ratio of two numbers is 3:4 and their HCF is 5. Their LCM is :1). 102). 603). 154). 12
Answer» 60 : SEEMS CORRECT

Discussion

99.	Sum of two numbers is 384. H.C.F. of the numbers is 48. The difference of the numbers is1). 1002). 1923). 2884). 336
Answer» 3). 288

Discussion

100.	HCF and LCM of two numbers are 7 and 140 respectively. If the numbers are between 20 and 45, the sum of the numbers is :1). 702). 773). 634). 56
Answer» 63 is the RIGHT ANSWER

Discussion

Explore topic-wise InterviewSolutions in .

What Is the greatest number which will divide 110 and 128 leaving a remainder 2 in each case 1). 82). 183). 284). 38

The least number, which when divided by 4. 5 and 6 leaves remainder 1,2 and 3 respectively, is1). 572). 593). 614). 63

The smallest number, which, when divided by 12 or 10 or 8, leaves remainder 6 in each case, is1). 2462). 1863). 1264). 66

The greatest number, which when divide 989 and 1327 leave remainders 5 and 7 respectively, is :1). 82). 163). 244). 32

What least number must be subtracted from 1936 so that the resulting number when divided by 9, 10 and 15 will leave in each case the same remainder 7 1). 372). 363). 394). 30

The smallest number, which when Increased by 5 is divisible by each of 24,32, 36 and 564, is1). 8692). 8593). 43204). 427

Find the greatest number which will exactly divide 200 and 320.1). 102). 203). 164). 40

The H.C.F. and L.C.M. of two 2- digit numbers are 16 and 480 respectively. The numbers are :1). 40,482). 60,723). 64,804). 80,96

If the students of a class can be grouped exactly into 6 or 8 or 10, then the minimum number of students in the class must be1). 602). 1203). 1804). 240

When a number is divided by 15. 20 or 35. each time the remainder is 8. Then the smallest number is1). 4282). 4273). 3284). 338

The greatest number that will divide 729 and 901 leaving remainders 9 and 5 respectively, is1). 152). 163). 194). 20

The H.C.F. of two numbers is 8. Which one of the following can never be their L.C.M.1). 242). 483). 564). 60

Five bells begin to toll together and toll respectively at intervals of 6, 7, 8, 9 and 12 seconds. After how many seconds will they toll together again 1). 72 Sec.2). 612 Sec.3). 504 Sec.4). 318 Sec.

The greatest number that divides 411, 684, 821 and leaves 3, 4 and 5 as remainders, respectively, is1). 2542). 1463). 1364). 204

The LCM and the HCF of the numbers 28 and 42 are in the ratio:1). 6:12). 2:33). 3:24). 7:2

What is the least number of square tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad1). 8402). 8413). 8204). 814

The product of two numbers is 2160 and their HCF is 12. Number of such possible pairs is1). 12). 23). 34). 4

The largest number, which divides 25, 73 and 97 to leave the same remainder In each case, is1). 242). 233). 214). 6

The largest 4-digit number exactly divisible by each of 12, 15, 18 and 27 is1). 96902). 97203). 99304). 9960

Three numbers which are coprime to one another are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is :1). 752). 813). 854). 89

The LCM of two numbers is 30 and their HCF is 5. One of the number is 10. The other is1). 202). 253). 154). 5

A number x is divisible by 7. When this number is divided by 8, 12 and 16. It leaves a remainder 3 in each case. The least value of x is:1). 1482). 1493). 1504). 147

The least number which when divided by 16, 18. 20 and 25 leaves 4 as remainder in each case but when divided by 7 leaves no remainder is1). 170042). 180003). 180024). 18004

The LCM of two positive integers is twice the larger number. The difference of the smaller number and the GCD of the two numbers is 4.The smaller number is :1). 122). 63). 84). 10

The sum of two numbers is 36 and their H.C.F. is 4. How many pairs of such numbers are possible 1). 12). 23). 34). 4

A milkman has 75 litres milk in one can and 45 litres in another. The maximum capacity of container which can measure milk of either container exact number of times is :1). 1 litre2). 5 litres3). 15 litres4). 25 litres

The number nearest to 10000, which is exactly divisible by each of 3, 4, 5, 6, 7 and 8, is :1). 92402). 100803). 99964). 10000

Which greatest number will divide 3026 and 5053 leaving remainders 11 and 13 respectively1). 182). 303). 454). 60

The least number to be subtracted from 36798 to get a number which is exactly divisible by 78 is1). 182). 603). 384). 68

If A nad B are the H.C.F and L.C.M. respectively of two algebraic expressions x and y, and A + B = x + y, then the value of $A^{3}+B^{3}$is1). $X^{3}-Y^{3}$2). $X^{3}$3). $Y^{3}$4). $X^{3}+Y^{3}$

The sum of two numbers is 84 and their HCF is 12. Total number of such pairs of number is1). 22). 33). 44). 5

The HCF of two numbers 12906 and 14818 is 478. Their LCM is1). 4000862). 2000433). 6001294). 800172

The least number, which when divided by 18, 27 and 36 separately leaves remainders 5,14 , and 23 respectively, is1). 952). 1133). 1494). 77

The L.C.M. of two toies numbers is 20 their H.C.F. The sum of H C.F. and L.C.M. is 2520. If one of the number is 480, the other number is :1). 4002). 4803). 5204). 600

The greatest number, by which 1657 and 2037 are divided to give remainders 6and 5 respectively, is1). 1272). 1333). 2354). 305

The greatest four digit number which is exactly divisible by each one of the numbers 12, 18, 21 and 28 is1). 98282). 92883). 98824). 9928

The LCM of two numbers is 864 and their HCF is 144. If one of the number is 288. the other number is :1). 5762). 12963). 4324). 144

The product of the LCM and HCF of two numbers is 24. The difference of the two numbers is 2. Find the numbers 1). 8 and 62). 8 and 103). 2 and 44). 6 and 4

The HCF and LCM of two numbers are 18 and 378 respectively. If one of the number is 54, then the other number is1). 1262). 1443). 1984). 238

The sum of two numbers is 45. Their difference is $\frac{1}{9}$ of their sum. Their L.C.M is1). 2002). 2503). 1004). 150

Four bells ring at the intervals of 5, 6, 8 and 9 seconds . All the bells ring simultaneously at some time. They will again ring simultaneously after1). 6 minutes2). 12 minutes3). 18 minutes4). 24 minutes

The HCF (GCD) of a, b is 12. a, b are positive integers and a > b > 12. The smallest values of (a,b) are respectively1). 12,242). 24,123). 24,364). 36,24

The product of two numbers is 1280 and their H.C.F. is 8. The L.C.M. of the number will be :1). 1602). 1503). 1204). 140

The greatest number by which 2300 and 3500 are divided leaving the remainders of 32 and 56 respectively, is1). 1372). 1683). 424). 84

The LCM of two multiples of 12 is 1056. If one of the number is 132, the other number is1). 122). 723). 964). 132

A milk vendor has 21 litres of cow milk. 42 litres of toned milk and 63 litres of double toned milk. If he wants to pack them in cans so that each can contains same litres of milk and does not want to mix any two kinds of milk in a can, then the least number of cans required Is1). 32). 63). 94). 12

The ratio of two numbers is 3:4 and their HCF is 5. Their LCM is :1). 102). 603). 154). 12

Sum of two numbers is 384. H.C.F. of the numbers is 48. The difference of the numbers is1). 1002). 1923). 2884). 336

HCF and LCM of two numbers are 7 and 140 respectively. If the numbers are between 20 and 45, the sum of the numbers is :1). 702). 773). 634). 56