Problems on H.C.F and L.C.M MCQ Questions & Answers

Problems on H.C.F and L.C.M MCQs : This section focuses on the "Problems on H.C.F and L.C.M". These Multiple Choice Questions (MCQs) should be practiced to improve the Problems on H.C.F and L.C.M skills required for various interviews (campus interview, walk-in interview, company interview), placement, entrance exam and other competitive examinations.

Question 1

Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

A. 4

B. 7

C. 9

D. 13

Question 2

The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:

A. 276

B. 299

C. 322

D. 345

Question 3

Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?

A. 4

B. 10

C. 15

D. 16

Question 4

Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:

A. 4

B. 5

C. 6

D. 8

Question 5

The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:

A. 9000

B. 9400

C. 9600

D. 9800

Question 6

The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is:

A. 101

B. 107

C. 111

D. 185

Question 7

The G.C.D. of 1.08, 0.36 and 0.9 is:

A. 0.03

B. 0.9

C. 0.18

D. 0.108

Question 8

The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is:

A. 1

B. 2

C. 3

D. 4

Question 9

The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:

A. 74

B. 94

C. 184

D. 364

Question 10

Find the lowest common multiple of 24, 36 and 40.

A. 120

B. 240

C. 360

D. 480

Question 11

The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:

A. 3

B. 13

C. 23

D. 33

Question 12

Reduce 128352/238368 to its lowest terms.

A. 3/4

B. 5/13

C. 7/13

D. 9/13

Question 13

The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:

A. 1677

B. 1683

C. 2523

D. 3363

Question 14

A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?

A. 26 minutes and 18 seconds

B. 42 minutes and 36 seconds

C. 45 minutes

D. 46 minutes and 12 seconds

Question 15

The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is:

A. 279

B. 283

C. 308

D. 318

Question 16

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

Question 17

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

A. 12

B. 16

C. 24

D. 48

Question 18

The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:

A. 1008

B. 1015

C. 1022

D. 1032

Question 19

252 can be expressed as a product of primes 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

Question 20

The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is:

A. 15 cm

B. 25 cm

C. 35 cm

D. 42 cm

Question 21

Three numbers which are co-prime to each other 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:

A. 75

B. 81

C. 85

D. 89

Question 22

Find the highest common factor of 36 and 84.

A. 4

B. 6

C. 12

D. 18

Question 23

Which of the following fraction is the largest ?

A. 7/8

B. 13/16

C. 31/40

D. 63/80

Question 24

The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is:

A. 504

B. 536

C. 544

D. 548

Question 25

The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is:

A. 123

B. 127

C. 235

D. 305

Question 26

Which of the following has the most number of divisors?

A. 99

B. 101

C. 176

D. 182

Question 27

The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. Then sum of the number is:

A. 28

B. 32

C. 40

D. 64

Question 28

The H.C.F. of 9/10 , 12/25, 18/35 and 21/40 is:

A. 3/5

B. 252/5

C. 3/1400

D. 63/700

Question 29

If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to:

A. 55/601

B. 601/55

C. 11/120

D. 120/11

Question 30

The LCM of two numbers is 520 and their HCF is 4. If one of the numbers is 52, then the other number is = ?

A. 40

B. 42

C. 50

D. 52

Question 31

The capacity of two pots is 120 litres and 56 litres respectively. Find the capacity of a container which can exactly measure the contents of the two pots = ?

A. 7500 cc

B. 7850 cc

C. 8000 cc

D. 9500 cc

Question 32

A daily wage labourer was engaged for a certain number of days for Rs. 5750, but being absent on some of those days he was paid only Rs. 5000. What was his maximum possible daily wage ?

A. Rs. 125

B. Rs. 250

C. Rs. 375

D. Rs. 500

Question 33

The product of two numbers is 2028 and their HCF is 13. The number of such of pair is = ?

A. 1

B. 2

C. 3

D. 4

Question 34

The LCM of three different numbers is 120. Which of the following cannot be their HCF?

A. 8

B. 12

C. 24

D. 35

Question 35

The traffic lights at three different road crossings change after 24 seconds, 36 seconds, and 54 seconds respectively. If they all change simultaneously at 10:15:00 AM, then at what time will they again change simultaneously ?

A. 10:16:54 AM

B. 10:18:36 AM

C. 10:17:02 AM

D. 10:22:12 AM

Question 36

A person has to completely put each of three liquids: 403 litres of petrol, 465 litres of diesel and 496 litres of Mobil Oil in bottles of equal size without mixing any of the above three types of liquids such that each bottle is completely filled. What is the least possible number of bottles required ?

A. 34

B. 44

C. 46

D. None of these

Question 37

The maximum number of students among whom 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is = ?

A. 91

B. 910

C. 1001

D. 1911

Question 38

The least number of square tiles required to pave the ceiling of a room 15m 17cm long and 9m 2cm broad is = ?

A. 656

B. 738

C. 814

D. 902

Question 39

Three sets of English , Mathematics and Science books containing 336, 240 and 96 books respectively have to be stacked in such a way that all the books are stored subject wise and the height of each stack is the same. Total number of stakes will be ?

A. 14

B. 21

C. 22

D. 48

Question 40

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 respectively ?

A. 15 and 228

B. 9 and 380

C. 45 and 76

D. 46 and 75

Question 41

The greatest 4-digit number exactly divisible by 10, 15, 20 is = ?

A. 9990

B. 9960

C. 9980

D. 9995

Question 42

Four metal rods of lengths 78 cm, 104 cm, 117 cm and 169 cm are to be cut into parts of equal length. Each part must be as long as possible. What is the maximum number of pieces that can be cut ?

A. 27

B. 36

C. 43

D. 480

Question 43

If r is the remainder when each of 7654, 8506, and 9997 is divided by the greatest number d (d > 1) then d - r is equal to = ?

A. 14

B. 18

C. 24

D. 28

Question 44

Let N be the greatest number that will divide 1305, 4665 and 6905 leaving the same remainder in each case. Then sum of the digits in N is = ?

A. 4

B. 5

C. 6

D. 8

Question 45

Three men step 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 is = ?

A. 9630 cm

B. 9360 cm

C. 6930 cm

D. 6950 cm

Question 46

84 Maths books, 90 Physics books, 120 Chemistry books have to be stacked topicwise. How many books will be there in each stack so that each stack will have the same height too ?

A. 12

B. 18

C. 6

D. 21

Question 47

The greatest number that will divide 729 and 901 leaving remainder 9 and 5 respectively is = ?

A. 15

B. 16

C. 19

D. 20

Question 48

Which greatest number will divide 3026 and 5053 leaving remainders 11 and 13 respectively ?

A. 15

B. 30

C. 45

D. 60

Question 49

Find the greatest number that will divide 964, 1238 and 1400 leaving remainders 41, 31, and 51 respectively = ?

A. 61

B. 71

C. 73

D. 81

Question 50

What is the least natural number which leaves no remainders when divided by all the digits from 1 to 9 ?

A. 1800

B. 1920

C. 2520

D. 5040

Question 51

The number nearest to 43582 divisible by each of 25, 50 and 75 is = ?

A. 43500

B. 43550

C. 43600

D. 43650

Question 52

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 is = ?

A. 3

B. 6

C. 9

D. 12

Question 53

The HCF (GCD) of a, b is 12, a, b are positive integers and a > b > 12. The smallest values of (a, b) are respectively ?

A. 12, 34

B. 24, 12

C. 24, 36

D. 36, 24

Question 54

Product of two co-prime numbers is 117. Then their LCM is = ?

A. 117

B. 9

C. 13

D. 39

Question 55

The least number which when increased by 5 is divisible by each one of 24, 32, 36 and 54 is = ?

A. 427

B. 859

C. 869

D. 4320

Question 56

What is the greatest number of 3 digits which when divided by 6, 9 and 12 leaves a remainder of 3 in each case ?

A. 903

B. 939

C. 975

D. 996

Question 57

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 ?

A. 72 seconds

B. 612 seconds

C. 504 seconds

D. 318 seconds

Question 58

The least number which when divided by 6, 9, 12, 15, 18 leaves the same remainder 2 in each case is = ?

A. 180

B. 176

C. 182

D. 178

Question 59

The HCF of x6 - 1 and x4 + 2x3 - 2x1 - 1 is = ?

A. x2 + 1

B. x - 1

C. x2 - 1

D. x + 1

Question 60

Find the least number which when divided by 12, leaves a remainder of 7; when divided by 15, leaves a remainder of 10 and when divided by 16, leaves a remainder of 11 = ?

A. 115

B. 235

C. 247

D. 475

Question 61

Find the least multiple of 23, which when divided by 18, 21 and 24 leaves remainders 7, 10 and 13 respectively = ?

A. 3002

B. 3013

C. 3024

D. 3036

Question 62

Find the greatest number of 4 digits which when divided by 4, 5, 6, 7 and 8 leaves 1, 2, 3, 4 and 5 as remainders = ?

A. 9237

B. 9240

C. 9840

D. 9999

Question 63

Let x be the smallest number, which when added to 2000 make the resulting number divisible by 12, 16, 18 and 21. The sum of the digits of x is = ?

A. 6

B. 5

C. 7

D. 8

Question 64

Let x be the last number, which when divided by 5, 6, 7 and 8 leaves a remainder 3 in each case but when divided by 9 leaves remainder 0, the sum of digits of x is = ?

A. 24

B. 21

C. 22

D. 18

Question 65

A number when divided by 361 gives remainder 47. When the same number is divided by 19 then find the remainder ?

A. 9

B. 1

C. 8

D. 3

Question 66

The least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is = ?

A. 1677

B. 1683

C. 2523

D. 3363

Question 67

A gardener has to plant trees in rows containing equal number of trees. If he plants in rows of 6, 8, 10 or 12 then five trees are left unplanted. But if he plants in rows of 13 trees each, then no tree is left. What is the number of trees that the gardener plants ?

A. 485

B. 725

C. 845

D. None of these

Question 68

When Seeta made necklaces of either 16 beads, 20 beads or 36 beads, not a single bead was left over. What could be the least number of beads Seeta had = ?

A. 700

B. 720

C. 750

D. 780

Question 69

The HCF and LCM of two numbers are 21 and 84 respectively. If the ratio of the two numbers is 1 : 4 then larger of the two numbers is = ?

A. 48

B. 12

C. 84

D. 108

Question 70

The LCM of two numbers is 12 times their HCF. The sum of the HCF and LCM is 403. If one of the number is 93, then the other is = ?

A. 116

B. 124

C. 112

D. 120

Question 71

The number of pairs of positive integers whose sum is 99 and HCF is 9 is = ?

A. 5

B. 2

C. 3

D. 4

Question 72

An electronic device makes a beep after every 60 sec. Another device makes a beep after every 62 sec. They beeped together at 10 am. The next time, when they would beep together at the earliest is = ?

A. 10.30 am

B. 10.31 am

C. 10.59 am

D. 11:00 AM

Question 73

Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. In 30 minutes , how many times do they toll together ?

A. 4

B. 10

C. 15

D. 16

Question 74

Four bells begin to toll together and toll respectively at intervals of 6, 7, 8 and 9 seconds. In 1.54 hours, how many times do they toll together and in what interval (seconds)?

A. 14, 504

B. 14, 480

C. 12, 504

D. 16, 580

Question 75

A number between 1000 and 2000 which when divided by 30, 36 and 80 gives a remainder 11 in each case is = ?

A. 11523

B. 1451

C. 1641

D. 1712

Question 76

The difference between the greatest and least prime numbers which are less then 100 is = ?

A. 95

B. 96

C. 97

D. 94

Question 77

The number between 4000 and 5000 that is divisible by each of 12, 18, 21 and 32 is = ?

A. 4203

B. 4023

C. 4032

D. 4302

Question 78

Three girls start jogging from the same point around a circular track and each one completes one round in 24 seconds, 36 seconds and 48 seconds respectively. After how much time will they meet at one point ?

A. 2 minutes 20 seconds

B. 2 minutes 24 seconds

C. 3 minutes 36 seconds

D. 4 minutes 12 seconds

Question 79

Find the HCF of 132, 204 and 228 = ?

A. 12

B. 18

C. 6

D. 21

Question 80

The LCM of four consecutive numbers is 60. The sum of the first two numbers is equal to the fourth number. What is the sum of four numbers

A. 17

B. 14

C. 21

D. 24

Question 81

If the product of three consecutive numbers is 210, then the sum of the smaller numbers is = ?

A. 3

B. 4

C. 5

D. 11

Question 82

If three number are 2a, 5a and 7a, what will be their LCM ?

A. 70a

B. 65a

C. 75a

D. 73a

Question 83

The product of two whole numbers is 1500 and their HCF is 10. Find the LCM = ?

A. 15000

B. 150

C. 1500

D. 15

Question 84

A number x is divided 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 = ?

A. 148

B. 149

C. 150

D. 147

Question 85

Two pipes of length 1.5 m and 1.2 m are to be cut into equal pieces without leaving any extra length of pipes. The greatest length of the pipe pieces of same size which can be cut from these two lengths will be = ?

A. 0.13 m

B. 26 m

C. 0.3 m

D. 0.41 m

Question 86

A general of an Army wants to create a formation of square from 36562 army men. After arrangement, he found some army men remainder unused.

A. 36

B. 65

C. 81

D. 97

Question 87

The number of pair of positive integers whose sum is 99 and HCF is 9 is =

A. 5

B. 4

C. 3

D. 2

Question 88

The ratio of two numbers is 3 : 4 and their LCM is 120. The sum of numbers is = ?

A. 70

B. 140

C. 35

D. 105

Question 89

The greatest 4 digit number which is exactly divisible by each one of the numbers 12, 18, 21 and 28 = ?

A. 9288

B. 9882

C. 9828

D. 9928

Question 90

The traffic lights at three different signal points change after every 45 seconds, 75 seconds and 90 seconds respectively. If all change simultaneously at 7:20:15 hours, then they will change again simultaneously at = ?

A. 7:28:00 hours

B. 7:27:45 hours

C. 7:27:30 hours

D. 7:27:50 hours

Question 91

LCM of two prime numbers x and y (x > y) is 161. Then the value of 3y - x is = ?

A. -2

B. -1

C. 1

D. 2

Question 92

252 can be expressed as a product of primes as:

A. 2 × 2 × 3 × 3 × 7

B. 2 × 2 × 2 × 3 × 7

C. 3 × 3 × 3 × 3 × 7

D. 2 × 3 × 3 × 3 × 7

Question 93

Find the highest common factor of 36 and 84

A. 4

B. 6

C. 12

D. 18

Question 94

The HCF and LCM of two numbers are 8 and 48 respectively. If one of the number is 24, then the other number is = ?

A. 48

B. 36

C. 24

D. 16

Question 95

The least number which when divided by 4, 6, 8, 12 and 16 leaves remainder of 2 in each case is = ?

A. 46

B. 48

C. 50

D. 56

Question 96

The LCM of two numbers is 495 and their HCF is 5. If the sum of the numbers is 100, then their difference is = ?

A. 10

B. 46

C. 70

D. 90

Question 97

The HCF of two numbers is 8. Which one of the following can never be their LCM ?

A. 24

B. 48

C. 56

D. 60

Question 98

The LCM and the HCF of the numbers 28 and 42 are in the ratio ?

A. 6 : 1

B. 2 : 3

C. 3 : 2

D. 7 : 2

Question 99

The LCM of two numbers is 1820 and their HCF is 26. If one number is 130 then the other number is ?

A. 70

B. 1690

C. 364

D. 1264

Question 100

The HCF of two number 12906 and 14818 is 478. Their LCM is ?

A. 400086

B. 200043

C. 600129

D. 800172

Question 101

Find the greatest number of five digits which when divided by 3, 5, 8, 12 leaves 2 as remainder ?

A. 99999

B. 99948

C. 99962

D. 99722

Question 102

The H.C.F of 24 × 32 × 53 × 7, 23 × 33 × 52 × 72 and 3 × 5 × 7 × 11 is = ?

A. 105

B. 1155

C. 2310

D. 27720

Question 103

The H.C.F of 4 × 27 × 3125, 8 × 9 × 25 × 7 and 16 × 81 × 5 × 11 × 49 is = ?

A. 180

B. 360

C. 540

D. 1260

Question 104

Even numbers are formed by talking at least two at a time from the numbers 0, 4, 8, 9. Their H.C.F. is = ?

A. 2

B. 4

C. 10

D. None fo these

Question 105

Find the largest number of four digits such that on dividing by 15, 18, 21 and 24 the remainders are 11, 14, 17 and 20 respectively.

A. 6557

B. 7556

C. 5675

D. 7664

Question 106

The greatest number which when divides 989 and 1327 leave remainder 5 and 7 respectively = ?

A. 8

B. 16

C. 24

D. 32

Question 107

A milkman has 75 litres milk in one cane and 45 litres in another. The maximum capacity of container which can measure milk of either container exact number ?

A. 1 litre

B. 5 litres

C. 15 litres

D. 25 litres

Question 108

Which of the following is a pair of co-primes ?

A. (16, 12)

B. (18, 25)

C. (21, 35)

D. (23, 92)

Question 109

The L.C.M. of 22, 54, 108, 135 and 198 is = ?

A. 330

B. 1980

C. 5940

D. 11880

Question 110

Two numbers are in the ratio 3 : 4, if their H.C.F. is 4, then their L.C.M. = ?

A. 48

B. 42

C. 36

D. 24

Question 111

L.C.M. of two numbers is 2079 and their H.C.F. is 27. If one of the number is 189, the other number is = ?

A. 297

B. 584

C. 189

D. 216

Question 112

The least perfect square which is divisible by each of 21, 36 and 66 is = ?

A. 214344

B. 214434

C. 213444

D. 231444

Question 113

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 = ?

A. 3

B. 5

C. 4

D. 6

Question 114

The smallest square number divisible by 10, 16 and 24 is ?

A. 900

B. 1600

C. 2500

D. 3600

Question 115

The G.C.D. (greatest common divisor) of 1.08, 0.36, 0.9 is = ?

A. 0.03

B. 0.9

C. 0.18

D. 0.108

Question 116

HCF of 3240, 3600, and a third number is 36 and their LCM is 24 × 35 × 52 × 72 . The third number is = ?

A. 22 × 35 × 72

B. 22 × 53 × 72

C. 25 × 52 × 72

D. 23 × 35 × 72

Question 117

Three numbers which are co-prime to one another are such that product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is = ?

A. 75

B. 81

C. 85

D. 89

Question 118

The sum of two numbers is 528 and their HCF is 33. The number of pairs of numbers satisfying the above conditions is = ?

A. 4

B. 6

C. 8

D. 12

Question 119

The product of two numbers is 2008 and their HCF is 13. The number of such pairs is = ?

A. 1

B. 2

C. 3

D. 4

Question 120

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 = ?

A. 70

B. 77

C. 63

D. 56

Question 121

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 = ?

A. 144

B. 72

C. 36

D. 85

Question 122

The ratio of two numbers is 13 : 15 and their LCM is 39780 . The numbers are = ?

A. 884, 1020

B. 884, 1040

C. 670, 1340

D. 2652, 3060

Question 123

The LCM and ratio of four numbers are 630 and 2 : 3 : 5 : 7 respectively. The difference between the greatest and least numbers is = ?

A. 6

B. 14

C. 15

D. 21

Question 124

The number nearest to 10000, which is exactly divisible by each of 3, 4, 5, 6, 7 and 8 is = ?

A. 9240

B. 10080

C. 9996

D. 10000

Question 125

The HCF and LCM of two 2-digit number are 16 and 480 respectively. The numbers are ?

A. 40, 48

B. 60, 72

C. 64, 80

D. 80, 96

Question 126

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 = ?

A. 1539

B. 539

C. 359

D. 1359

Question 127

The HCF and LCM of two numbers are 12 and 336 respectively. If one of the numbers is 84, the other is = ?

A. 36

B. 48

C. 72

D. 96

Question 128

If the product of two numbers is 324 and their HCF is 3, then their LCM will be = ?

A. 972

B. 327

C. 321

D. 108

Question 129

What is the least number which when divided by the number 3, 5, 6, 8, 10 and 12 leaves in each case a remainder 2 but when divided by 22 leaves no remainder ?

A. 312

B. 242

C. 1562

D. 1586

Question 130

The LCM of two numbers is 20 times their HCF. The sum of HCF ans LCM is 2520. If one of the number 480, the other number is = ?

A. 400

B. 480

C. 520

D. 600

Question 131

The largest 4-digit number exactly divisible by each of 12, 15, 18 and 27 is?

A. 9690

B. 9720

C. 9930

D. 9960

Question 132

If HCF of p and q is x and q = xy, then the LCM of p and q is = ?

A. pq

B. qy

C. xy

D. py

Question 133

The HCF and LCM of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1 : 4 , then the larger of the two numbers is = ?

A. 12

B. 48

C. 84

D. 108

Question 134

Three numbers are in the ratio 2 : 3 : 4, If their LCM is 240 the smaller of the three numbers is = ?

A. 20

B. 60

C. 30

D. 80

Question 135

The HCF of two numbers , each having three digits, is 17 and their LCM is 714. The sum of the numbers will be ?

A. 289

B. 391

C. 221

D. 731

Question 136

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 , is = ?

A. 189

B. 182

C. 175

D. 91

Question 137

The LCM of two numbers is 12 times their HCF. The sum of HCF and LCM is 403. If one number is 93, find the other = ?

A. 124

B. 128

C. 134

D. None of these

Question 138

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 ?

A. 37

B. 36

C. 39

D. 30

Question 139

The smallest number, which when increased by 5 is divisible by each of 24, 32, 36 and 64 is ?

A. 869

B. 859

C. 571

D. 427

Question 140

The LCM of two numbers is 44 times of their of HCF. The sum of the LCM and HCF is 1125. If one number is 25 then the other number is = ?

A. 1100

B. 975

C. 900

D. 800

Question 141

The LCM of three different numbers is 120. Which of the following cannot be their HCF ?

A. 8

B. 12

C. 24

D. 35

Question 142

The greatest number for four digits which when divided by 12, 16 and 24 leave remainder 2,6 and 14 respectively is = ?

A. 9974

B. 9970

C. 9807

D. 9998

Question 143

Two numbers are in the ratio 3 : 4. The product of their HCF and LCM is 2028. The sum of the numbers is = ?

A. 68

B. 72

C. 86

D. 91

Question 144

Sum of two numbers is 384. HCF of the numbers is 48. The difference of the numbers is = ?

A. 100

B. 192

C. 288

D. 336

Question 145

The HCF and LCM of two numbers are 21 and 4641 respectively. If one of the numbers lies between 200 and 300 , the two numbers are ?

A. 273, 357

B. 273, 359

C. 273, 361

D. 273, 363

Question 146

The LCM of two multiples of 12 is 1056. If one of the number is 132, the other number is ?

A. 12

B. 72

C. 96

D. 132

Question 147

The product of two numbers is 396 × 576 and their LCM is 6336. Find their HCF = ?

A. 36

B. 34

C. 63

D. 43

Question 148

The greatest number, which when subtracted from 5834, gives a number exactly divisible by each of 20, 28, 32 and 35 is ?

A. 1120

B. 4714

C. 5200

D. 5600

Question 149

21 mango trees, 42 apple trees and 56 orange trees have to be planted in rows such that each row contains the same numbers of trees of one variety only. Minimum number of row in which the trees may be planted is = ?

A. 3

B. 15

C. 17

D. 20

Question 150

The greatest possible length which can be used to measure exactly the lengths 7m, 3m 85cm, 12m 95cm is = ?

A. 15cm

B. 25cm

C. 35cm

D. 42cm

Question 151

Two numbers are in the ratio 3:4. Their LCM is 84. The greater number is ?

A. 21

B. 24

C. 28

D. 84

Question 152

The HCF and LCM of two numbers are 12 and 924 respectively. Then the number of such pair is = ?

A. 0

B. 1

C. 2

D. 3