**Problems on HCF and LCM - Aptitude Questions and Answers | Online Problems on HCF and LCM MCQ Aptitude Test**

Quiz Name | Problems on HCF and LCM |

Category | Reasoning |

Number of Questions | 30 |

Time | 30 Minutes |

Exam Type | MCQ (Multiple Choice Questions) |

**1.**Determine the largest integer that will divide 43, 91, and 183 in such a way that the remainders are the same in each case.

a. 4

b. 7

c. 9

d. 13

**2.**The H.C.F. of two integers is 23, and the L.C.M.'s other two components are 13 and 14. The greater of the two figures is:

a. 276

b. 299

c. 322

d. 345

**3.**Six bells start tolling at the same time and at 2, 4, 6, 8, 10, and 12 second intervals, respectively. How many times do they toll jointly in 30 minutes?

a. 4

b. 10

c. 15

d. 16

**4.**Let N be the largest integer that divides 1305, 4665, and 6905 without leaving the same residual in each case. Then in N, the total of the digits is:

a. 4

b. 5

c. 6

d. 8

**5.**The greatest four-digit number that is divisible by 15, 25, 40, and 75 is:

a. 9000

b. 9400

c. 9600

d. 9800

**6.**The sum of two integers equals 4107. If these numbers have an H.C.F. of 37, the bigger number is:

a. 101

b. 107

c. 111

d. 185

**7.**The L.C.M. of three numbers is 2400, and their ratio is 3: 4: 5. Their H.C.F. is as follows:

a. 40

b. 80

c. 120

d. 200

**8.**The G.C.D. for the numbers 1.08, 0.36, and 0.9 is:

a. 0.03

b. 0.9

c. 0.18

d. 0.108

**9.**The H.C.F. of two integers is 13 and their product is 2028. The total number of such pairings is as follows:

a. 1

b. 2

c. 3

d. 4

**10.**When divided by 6, 9, 15, and 18, the least multiple of 7 that leaves a residual of 4 is:

a. 74

b. 94

c. 184

d. 364

**11.**Find the smallest common multiple of the numbers 24, 36, and 40.

a. 120

b. 240

c. 360

d. 480

**12.**The smallest number that can be added to 2497 to make the total divisible by 5, 6, 4, and 3 is:

a. 3

b. 13

c. 23

d. 33

**13.**Break down 128352 into its simplest words.

a. 3/4

b. 5/13

c. 7/13

d. 9/13

**14.**The smallest number that leaves a remnant of 3 when divided by 5, 6, 7, and 8, but no remainder when divided by 9, is:

a. 1677

b. 1683

c. 2523

d. 3363

**15.**A, B, and C all begin running in the same direction around a circular stadium at the same time. Starting at the same position, A completes a round in 252 seconds, B in 308 seconds, and C in 198 seconds. When will they return to their original starting point?

a. 26 minutes and 18 seconds

b. 42 minutes and 36 seconds

c. 45 minutes

d. 46 minutes and 12 seconds

**16.**Two numbers have an H.C.F. of 11 and an L.C.M. of 7700. In the case when one of the numbers is 275, the other is:

a. 279

b. 283

c. 308

d. 318

**17.**What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30 ?

a. 196

b. 630

c. 1260

d. 2520

**18.**The H.C.F. of two numbers is 4 and their ratio is 3:4. Their L.C.M. is as follows:

a. 12

b. 16

c. 24

d. 48

**19.**The smallest integer that is divisible by 12, 16, 18, 21, and 28 when reduced by 7 is:

a. 1008

b. 1015

c. 1022

d. 1032

**20.**As a product of primes, 20. 252 may be written as:

a. 2 x 2 x 3 x 3 x 7

b. 2 x 2 x 2 x 3 x 7

c. 3 x 3 x 3 x 3 x 7

d. 2 x 3 x 3 x 3 x 7

**21.**The maximum length that may be utilised to precisely measure the lengths 7 m, 3 m 85 cm, and 12 m 95 cm is:

a. 15 cm

b. 25 cm

c. 35 cm

d. 42 cm

**22.**Three co prime integers exist such that the product of the first two is 551 and the product of the final two is 1073. The three digits add up to:

a. 75

b. 81

c. 85

d. 89

**23.**Find the 36th and 84th greatest common factor.

a. 4

b. 6

c. 12

d. 18

**24.**Which of the fractions below is the largest?

a. 7/8

b. 13/16

c. 31/40

d. 63/80

**25.**The smallest number that leaves an 8-digit residual when divided by 12, 15, 20, and 54 is:

a. 504

b. 536

c. 544

d. 548

**26.**The largest number, when divided by 1657 and 2037, yields 6 and 5 as remainders, is:

a. 123

b. 127

c. 235

d. 305

**27.**Which of the following has the most divisors? Which of the following has the most divisors?

a. 99

b. 101

c. 176

d. 182

**28.**When two numerals are added together, the L.C.M. is 48. The numbers are in a 2:3 ratio. The total of the numbers is as follows:

a. 28

b.32

c. 40

d. 64

**29.**The HCF for 9/10, 12/25, 18/35, and 21/40 is:

a. 3/5

b. 252/5

c. 3/1400

d. 63/700

**30.**If the total of two integers is 55, and their H.C.F. and L.C.M. are 5 and 120, respectively, the sum of the reciprocals of the numbers equals:

a. 55/601

b. 601/55

c. 11/120

d. 120/11

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