LCM & HCF questions and answers in English for competitive exams
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LCM & HCF questions and answers (Question 1 to 10)
1. Find the least number which when divided by 12, 27 and 35 leaves 6 as a remainder?
(A) 4786
(B) 3786
(C) 3756
(D) 3586
2. Find the 4-digit smallest number which when divided by 12, 15, 25, 30 leaves no remainder?
(A) 1200
(B) 1300
(C) 1400
(D) 1500
(E) None of these
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?
(A) 183
(B) 33
(C) 63
(D) 153
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?
(A) 43
(B) 27
(C) 36
(D) 42
(E) None of these
5. Find the greatest number which when divides 564 and 467 leaves the remainder as 4 and 7 respectively.
(A) 20
(B) 30
(C) 25
(D) 35
(E) None of these
lcm & hcf quiz
6. The HCF and LCM of two numbers are 8 and 48 respectively. If one of the numbers is24, then the other number is
(A) 48
(B) 16
(C) 24
(D) 36
(E) None of these
7. What is the LCM of (6x³ + 60x² + 150x) and (3xâ´ + 12x³ – 15x²)?
(A) 3x2(x + 5)(x – 1)2
(B) 3x2(x + 5)2(x – 1)
(C) 6x2(x + 5)2(x – 1)
(D) 6x2(x + 5)2(x – 1)2
(E) None of these
8. The product of LCM and HCF of two numbers is 48. The difference of two numbers is 8. Find the numbers?
(A) 3, 16
(B) 4, 12
(C) 1, 48
(D) 6, 8
(E) None of these
9. 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 at
(A) 12 Midnight
(B) 6:00 AM
(C) 3:00 AM
(D) 9:00 AM
(E) None of these
10. 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 was
(A) 954
(B) 946
(C) 938
(D) 962
(E) None of these
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