Find the greatest number which when divides 564 and 467 leaves the remainder as 4 and 7 respectively

LCM and HCF Questions: Solved 50 LCM and HCF Questions and answers section with explanation for various online exam preparation, various interviews, Aptitude Category online test. Category Questions section with detailed description, explanation will help you to master the topic.

LCM and HCF Questions

1. Find the least number which when divided by 12, 27 and 35 leaves 6 as a remainder?3586375637864786None of these

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2. Find the 4-digit smallest number which when divided by 12, 15, 25, 30 leaves no remainder?1300140012001500None of these

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3. Find the least number which when divided by 2, 3, 4 and 5 leaves a remainder 3. But when divided by 9 leaves no remainder?3363183153None of these

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4. Four Iron 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?273643400None of these

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5. Find the greatest number which when divides 564 and 467 leaves the remainder as 4 and 7 respectively.30202535None of these

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6. The product of LCM and HCF of two numbers is 48. The difference of two numbers is 8. Find the numbers?1, 486, 83, 164, 12None of these

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7. Four different electronic devices make a beep after every 30 minutes, 1 hour, 1 hour 30 minutes and 1 hour 45 minutes respectively. All the device beeped together at 12 noon. They will again beep together at3:00 AM12 Midnight6:00 AM9:00 AMNone of these

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8. What is the LCM of (6x³ + 60x² + 150x) and (3x⁴ + 12x³ – 15x²)?6x2(x + 5)2(x – 1)3x2(x + 5)2(x – 1)6x2(x + 5)2(x – 1)23x2(x + 5)(x – 1)2None of these

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9. On dividing a number by 4, the remainder is 2. The quotient so obtained when divided by 5, leaves the remainder 3. Now the quotient so obtained when divided by 6, leaves the remainder 5. The last quotient is 7. The number was962954946938None of these

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10. The HCF and LCM of two numbers are 8 and 48 respectively. If one of the numbers is24, then the other number is48362416None of these

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11. HCF of 2/3, 4/5 and 6/7 is48/1052/10516/10524/105None of these

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12. What is the LCM of 120 and 450?2400180036004800None of these

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13. HCF of x2 – y2 and x3 – y3 isx – yx3 – y3x2 – y2None of theseCannot be determined

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14. The HCF of two numbers is 24. The number which can be their LCM is84120128148None of these

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15. The sum of two number is 528 and their HCF is 33. How many pairs of such numbers can be?1234None of these

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16. Two numbers are in the ratio 3 : 4. If their LCM is 240, the smaller of the two number is100806050None of these

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17. The length, breadth and height of a room are 363m, 528m and 693m respectively. Determine the longest tape that can measure the three dimensions of the room exactly.33 metre35 metre27 metre30 metreNone of these

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18. The product of two numbers is 35828 and their HCF is 26. Find their LCM.93178868913783583None of these

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19. Find the highest common factor of 72 and 168.1224663None of these

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20. The HCF of 252, 294 and 3#8 is 42, what is #?2487None of these

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