150 + Interview Questions in HCF AND LCM in Mathematics Page 1 InterviewSolution

1.	The greatest number of four digits which when divided by 12, 16 and 24 leave remainders 2.6 and 14 respectively is1). 99742). 99703). 98074). 9998
Answer» OPTION 1 is the RIGHT ANSWER

Discussion

2.	The smallest number, which when divided by 12 and 16 leaves remainder 5 and 9 respectively, is :1). 552). 413). 394). 29
Answer» OPTION 2 is the RIGHT ONE

Discussion

3.	Product of two co- prime numbers is 117. Then their L.C.M. is1). 1172). 93). 134). 39
Answer» 117

Discussion

4.	What is the smallest number which leaves remainder 3 when divided by any of the numbers 5, 6 or 8 but leaves no remainder when it is divided by 9 1). 1232). 6033). 7234). 243
Answer» it from PREVIOUS year ssc papers, option 4 is the RIGHT ANSWER

Discussion

5.	The LCM of two numbers is 520 and their HCF is 4. If one of the number is 52, then the other number is1). 402). 423). 504). 52
Answer» 40 SEEMS CORRECT.

Discussion

6.	The greatest number of four digits which when divided by 3, 5, 7, 9 leave remainders 1, 3, 5, 7 respectively is :1). 97632). 97643). 97664). 9765
Answer» OPTION 1 : 9763 is CORRECT

Discussion

7.	The greatest number, which when subtracted from 5834, gives a number exactly divisible by each of 20. 28. 32 and 35. is1). 11202). 47143). 52004). 5600
Answer» it from PREVIOUS YEAR SSC PAPERS, 4714 is the right answer

Discussion

8.	The H.C.F. and L.C.M. of two numbers are 8 and 48 respectively. If one of the number is 24, then the other number is1). 482). 363). 244). 16
Answer» OPTION option 4 is the CORRECT ANSWER

Discussion

9.	The smallest perfect square divisible by each of 6, 12 and 18 is1). 1962). 1943). 1084). 36
Answer» CORRECT ANSWER is: 36

Discussion

10.	The LCM of two numbers is 1920 and their HCF is 16. If one of the number is 128, find the other number.1). 2042). 2403). 2604). 320
Answer» 240 : SEEMS CORRECT

Discussion

11.	Four runners started running simultaneously from a point on a circular track. They took 200 seconds. 300 seconds, 360 seconds and 450 seconds to complete one round . After how much time do they meet at the starting point for the first time 1). 1800 seconds2). 3600 seconds3). 2400 seconds4). 4800 seconds
Answer» OPTION 1 : - 1800 SECONDS

Discussion

12.	The H.C.F. and L.C.M. of two numbers are 44 and 264 respectively. If the first number is divided by 2, the quotient is 44. The other number is1). 1472). 5283). 1324). 264
Answer» RIGHT ANSWER is 528

Discussion

13.	The product of two numbers is 4107. If the H.C.F. of the numbers is 37, the greater number is1). 1852). 1113). 1074). 101
Answer» ANSWER for this QUESTION is OPTION 2

Discussion

14.	L.C.M of $\frac{2}{3}$, $\frac{4}{9}$, $\frac{5}{6}$ is1). $\frac{8}{27}$2). $\frac{20}{3}$3). $\frac{10}{3}$4). $\frac{20}{27}$
Answer» RIGHT ANSWER for this question is $\FRAC{20}{3}$

Discussion

15.	The LCM of two numbers is 4 times their HCF. The sum of LCM and HCF is 125. If one of the number is 100, then the other number is1). 52). 253). 1004). 125
Answer» 25 : SEEMS CORRECT

Discussion

16.	Let the least number of six digits which when divided by 4, 6, 10, 15 leaves in each case same remainder 2 be N. The sum of digits in N is :1). 32). 53). 44). 6
Answer» RIGHT ANSWER for this QUESTION is OPTION 2

Discussion

17.	A number which when divided by 10 leaves a remainder of 9. when divided by 9 leaves a remainder of 8, and when divided by 8 leaves a remainder of 7, is:1). 15392). 5393). 3594). 1359
Answer» ANSWER for this QUESTION is 359

Discussion

18.	The HCF and LCM of two numbers are 12 and 924 respectively. Then the number of such pairs is1). 02). 13). 24). 3
Answer» OPTION 3 : SEEMS CORRECT

Discussion

19.	Find the least number which when divided separately by 15, 20. 36 and 48 leaves 3 as remainder in each case.1). 1832). 2433). 4834). 723
Answer» OPTION 4 : 723 is CORRECT

Discussion

20.	The least multiple of 7, which leaves the remainder 4 , when divided by any of 6. 9, 15 and 18, is1). 762). 943). 1844). 364
Answer» 364 SEEMS CORRECT.

Discussion

21.	Three bells ring simultaneously at 11a . m . They ring at regular Intervals of 20 minutes. 30 minutes. 40 minutes respec- tively. The time when all the three ring together next Is1). 2 p.m.2). 1 p.m.3). 1.15 p.m.4). 1.30 p.m.
Answer» RIGHT ANSWER for this QUESTION is OPTION 2

Discussion

22.	LCM of two numbers is 225 and their HCF is 5. If one number is 25, the other number will be:1). 52). 253). 454). 225
Answer» 3). 45

Discussion

23.	The least number which when divided by 4. 6. 8. 12 and 16 leaves a remainder of 2 in each case is :1). 462). 483). 504). 56
Answer» Its TOUGH but OPTION 3 SEEMS CORRECT

Discussion

24.	The least number which when divided by 4. 6, 8 and 9 leave zero remainder In each case and when divided by 13 leaves a remainder of 7 is :1). 1442). 723). 364). 85
Answer» RIGHT ANSWER for this QUESTION is 72

Discussion

25.	If the ratio of two numbers is 2:3 and their L.C.M . is 54, then the sum of the two numbers is1). 52). 153). 454). 270
Answer» RIGHT ANSWER is 15

Discussion

26.	Three tankers contain 403 litres,434 litres, 465 litres of diesel respectively. Then the maximum capacity of a container that can measure the diesel of the three containers exact number of times Is1). 31 litres2). 62 litres3). 41 litres4). 84 litres
Answer» i THINK OPTION 1 is CORRECT

Discussion

27.	84 Maths books, 90 Physics books and 120 Chemistry books have to be stacked topicwlse. How many books will be there in each stack so that each stack will have the same height too 1). 122). 183). 64). 21
Answer» is 18 is the CORRECT ANSWER am i RIGHT

Discussion

28.	A farmer has 945 cows and 2475 sheep. He farms them into flocks, keeping cows and sheep separate and having the same number of animals In each flock. If these flocks are as large as possible,then the maximum number of animals in each flock and total number of flocks required for the purpose are respectively1). 15 and 2282). 9 and 3803). 45 and 764). 46 and 75
Answer» OPTION 3 is the RIGHT ANSWER

Discussion

29.	The product of two numbers is 2028 and their HCF is 13. The number of such pairs is1). 12). 23). 34). 4
Answer» CORRECT ANSWER is: OPTION 2

Discussion

30.	From a point on a circular track 5km long A, B and C started running in the same direction at the same time with speed of $2\frac{1}{2}$ km per hour, 3 km per hour and 2 km per hour respectively. Then on the starting point all three will meet again after1). 30 hours2). 6 hours3). 10 hours4). 15 hours
Answer» I THINK OPTION 3 is the RIGHT ANSWER

Discussion

31.	The smallest number, which when divided by 5, 10, 12 and 15. leaves remainder 2 in each case: but when divided by 7 leaves no remainder, is1). 1892). 1823). 1754). 91
Answer» OPTION 2 is the RIGHT ANSWER

Discussion

32.	The least multiple of 13. which on dividing by 4. 5. 6. 7 and 8 leaves remainder 2 in each ray &1). 25202). 8423). 25224). 840
Answer» I THINK OPTION 3 is the RIGHT ANSWER

Discussion

33.	Three men etcp off together from the same spot. Their steps measure 63 cm. 70 cm and 77 cm respectively. The minimum distance each should cover so that all can cover the distance in complete steps is1). 9630 cm2). 9360 cm3). 6930 cm4). 6950 cm
Answer» OPTION 3 is the ANSWER

Discussion

34.	The HCF of two numbers is 23 and the other two factors of their LCM are 13 and 14. The larger of the two numbers is :1). 2762). 2993). 3454). 322
Answer» HELLO, 322 is CORRECT

Discussion

35.	The least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder is1). 16772). 16833). 25234). 3363
Answer» 1683 is the ANSWER

Discussion

36.	The HCF and product of two numbers are 15 and 6300 respectively. The number of possible pairs of the numbers is1). 42). 33). 24). 1
Answer» Let the number be 15x and 15y, where X and y are co-prime.$ Since 15x $ $\times$ 15y = 6300$ $=> xy = \frac{6300}{15\times 15} = 28$ So, two pairs are (7, 4) and (14, 2)$ Hence the right option is [3].$

Discussion

37.	The largest number of five digits which, when divided by 10, 24, 30, or 36 leaves the same remainder 10 in each case, is :1). 992792). 993703). 992694). 99350
Answer» OPTION 2 : - 99370

Discussion

38.	What is the least number which when divided by the numbers 3, 5, 6, 8, 10 and 12 leaves in each case a remainder 2 but when divided by 13 leaves no remainder 1). 3122). 9623). 15624). 1586
Answer» RIGHT ANSWER for this QUESTION is 962

Discussion

39.	The L.C.M. of two numbers is 1820 and their H.C.F. is 26. If one number is 130 then the other number is :1). 702). 16903). 3644). 1264
Answer» RIGHT ANSWER for this QUESTION is OPTION 3

Discussion

40.	The HCF of two numbers is 16 and their LCM is 160. If one of the number is 32,then the other number is1). 482). 803). 964). 112
Answer» 80 is the ANSWER

Discussion

41.	The least perfect square, which is divisible by each of 21. 36 and 66 1s1). 2143442). 2144343). 2134444). 231444
Answer» 214434 : - is CORRECT HENCE OPTION 3

Discussion

42.	The smallest square number divisible by 10, 16 and 24 is1). 9002). 16003). 25004). 3600
Answer» 3600

Discussion

43.	H.C.F of $\frac{2}{3}$ , $\frac{4}{5}$, and $\frac{6}{7}$ is :1). $\frac{48}{105}$2). $\frac{2}{105}$3). $\frac{1}{105}$4). $\frac{24}{105}$
Answer» RIGHT ANSWER is $\FRAC{2}{105}$

Discussion

44.	50 and 75 is :1). 435002). 436503). 436004). 43550
Answer» RIGHT ANSWER for this QUESTION is OPTION 2

Discussion

45.	Find the greatest number of five digits which when divided by 3. 5. 8. 12 have 2 as remainder :1). 999992). 999583). 999604). 99962
Answer» is OPTION 4 is the CORRECT ANSWER am i RIGHT

Discussion

46.	The H.C.F. of two numbers is 96 and their L.C.M. is 1296. If one of the number is 864, the other is1). 1322). 1353). 1404). 144
Answer» 144

Discussion

47.	The HCF of two numbers is 15 and their LCM is 225. If one of the number is 75, then the other number is:1). 1052). 903). 604). 45
Answer» 45 : - OPTION 4

Discussion

48.	There are 24 peaches. 36 apricots and 60 bananas and they have to be arranged in several rows in such a way that every row contains the same number of fruits of only one type. What is the minimum number of rows required for this to happen 1). 122). 93). 104). 6
Answer» 10 : - is CORRECT HENCE OPTION 3

Discussion

49.	The LC.M. of three different numbers is 120. Which of the following cannot be their H.C.F.1). 82). 123). 244). 35
Answer» OPTION 4 is the ANSWER

Discussion

50.	The H.C.Fand L.C.M of two numbers are 12 and 336 respectively. If one of the number is 84, the other is1). 362). 483). 724). 96
Answer» HELLO, 48 is CORRECT

Discussion

Explore topic-wise InterviewSolutions in .

The greatest number of four digits which when divided by 12, 16 and 24 leave remainders 2.6 and 14 respectively is1). 99742). 99703). 98074). 9998

The smallest number, which when divided by 12 and 16 leaves remainder 5 and 9 respectively, is :1). 552). 413). 394). 29

Product of two co- prime numbers is 117. Then their L.C.M. is1). 1172). 93). 134). 39

What is the smallest number which leaves remainder 3 when divided by any of the numbers 5, 6 or 8 but leaves no remainder when it is divided by 9 1). 1232). 6033). 7234). 243

The LCM of two numbers is 520 and their HCF is 4. If one of the number is 52, then the other number is1). 402). 423). 504). 52

The greatest number of four digits which when divided by 3, 5, 7, 9 leave remainders 1, 3, 5, 7 respectively is :1). 97632). 97643). 97664). 9765

The greatest number, which when subtracted from 5834, gives a number exactly divisible by each of 20. 28. 32 and 35. is1). 11202). 47143). 52004). 5600

The H.C.F. and L.C.M. of two numbers are 8 and 48 respectively. If one of the number is 24, then the other number is1). 482). 363). 244). 16

The smallest perfect square divisible by each of 6, 12 and 18 is1). 1962). 1943). 1084). 36

The LCM of two numbers is 1920 and their HCF is 16. If one of the number is 128, find the other number.1). 2042). 2403). 2604). 320

The H.C.F. and L.C.M. of two numbers are 44 and 264 respectively. If the first number is divided by 2, the quotient is 44. The other number is1). 1472). 5283). 1324). 264

The product of two numbers is 4107. If the H.C.F. of the numbers is 37, the greater number is1). 1852). 1113). 1074). 101

L.C.M of $\frac{2}{3}$, $\frac{4}{9}$, $\frac{5}{6}$ is1). $\frac{8}{27}$2). $\frac{20}{3}$3). $\frac{10}{3}$4). $\frac{20}{27}$

The LCM of two numbers is 4 times their HCF. The sum of LCM and HCF is 125. If one of the number is 100, then the other number is1). 52). 253). 1004). 125

Let the least number of six digits which when divided by 4, 6, 10, 15 leaves in each case same remainder 2 be N. The sum of digits in N is :1). 32). 53). 44). 6

A number which when divided by 10 leaves a remainder of 9. when divided by 9 leaves a remainder of 8, and when divided by 8 leaves a remainder of 7, is:1). 15392). 5393). 3594). 1359

The HCF and LCM of two numbers are 12 and 924 respectively. Then the number of such pairs is1). 02). 13). 24). 3

Find the least number which when divided separately by 15, 20. 36 and 48 leaves 3 as remainder in each case.1). 1832). 2433). 4834). 723

The least multiple of 7, which leaves the remainder 4 , when divided by any of 6. 9, 15 and 18, is1). 762). 943). 1844). 364

Three bells ring simultaneously at 11a . m . They ring at regular Intervals of 20 minutes. 30 minutes. 40 minutes respec- tively. The time when all the three ring together next Is1). 2 p.m.2). 1 p.m.3). 1.15 p.m.4). 1.30 p.m.

LCM of two numbers is 225 and their HCF is 5. If one number is 25, the other number will be:1). 52). 253). 454). 225

The least number which when divided by 4. 6. 8. 12 and 16 leaves a remainder of 2 in each case is :1). 462). 483). 504). 56

The least number which when divided by 4. 6, 8 and 9 leave zero remainder In each case and when divided by 13 leaves a remainder of 7 is :1). 1442). 723). 364). 85

If the ratio of two numbers is 2:3 and their L.C.M . is 54, then the sum of the two numbers is1). 52). 153). 454). 270

Three tankers contain 403 litres,434 litres, 465 litres of diesel respectively. Then the maximum capacity of a container that can measure the diesel of the three containers exact number of times Is1). 31 litres2). 62 litres3). 41 litres4). 84 litres

84 Maths books, 90 Physics books and 120 Chemistry books have to be stacked topicwlse. How many books will be there in each stack so that each stack will have the same height too 1). 122). 183). 64). 21

The product of two numbers is 2028 and their HCF is 13. The number of such pairs is1). 12). 23). 34). 4

The smallest number, which when divided by 5, 10, 12 and 15. leaves remainder 2 in each case: but when divided by 7 leaves no remainder, is1). 1892). 1823). 1754). 91

The least multiple of 13. which on dividing by 4. 5. 6. 7 and 8 leaves remainder 2 in each ray &1). 25202). 8423). 25224). 840

Three men etcp off together from the same spot. Their steps measure 63 cm. 70 cm and 77 cm respectively. The minimum distance each should cover so that all can cover the distance in complete steps is1). 9630 cm2). 9360 cm3). 6930 cm4). 6950 cm

The HCF of two numbers is 23 and the other two factors of their LCM are 13 and 14. The larger of the two numbers is :1). 2762). 2993). 3454). 322

The least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder is1). 16772). 16833). 25234). 3363

The HCF and product of two numbers are 15 and 6300 respectively. The number of possible pairs of the numbers is1). 42). 33). 24). 1

The largest number of five digits which, when divided by 10, 24, 30, or 36 leaves the same remainder 10 in each case, is :1). 992792). 993703). 992694). 99350

What is the least number which when divided by the numbers 3, 5, 6, 8, 10 and 12 leaves in each case a remainder 2 but when divided by 13 leaves no remainder 1). 3122). 9623). 15624). 1586

The L.C.M. of two numbers is 1820 and their H.C.F. is 26. If one number is 130 then the other number is :1). 702). 16903). 3644). 1264

The HCF of two numbers is 16 and their LCM is 160. If one of the number is 32,then the other number is1). 482). 803). 964). 112

The least perfect square, which is divisible by each of 21. 36 and 66 1s1). 2143442). 2144343). 2134444). 231444

The smallest square number divisible by 10, 16 and 24 is1). 9002). 16003). 25004). 3600

H.C.F of $\frac{2}{3}$ , $\frac{4}{5}$, and $\frac{6}{7}$ is :1). $\frac{48}{105}$2). $\frac{2}{105}$3). $\frac{1}{105}$4). $\frac{24}{105}$

50 and 75 is :1). 435002). 436503). 436004). 43550

Find the greatest number of five digits which when divided by 3. 5. 8. 12 have 2 as remainder :1). 999992). 999583). 999604). 99962

The H.C.F. of two numbers is 96 and their L.C.M. is 1296. If one of the number is 864, the other is1). 1322). 1353). 1404). 144

The HCF of two numbers is 15 and their LCM is 225. If one of the number is 75, then the other number is:1). 1052). 903). 604). 45

There are 24 peaches. 36 apricots and 60 bananas and they have to be arranged in several rows in such a way that every row contains the same number of fruits of only one type. What is the minimum number of rows required for this to happen 1). 122). 93). 104). 6

The LC.M. of three different numbers is 120. Which of the following cannot be their H.C.F.1). 82). 123). 244). 35

The H.C.Fand L.C.M of two numbers are 12 and 336 respectively. If one of the number is 84, the other is1). 362). 483). 724). 96