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free Online Test Problems on HCF and LCM Questions and Answers Quiz 3

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Exercise

"No one is as deaf as the man who will not listen."
- (Proverb)
1 . The LCM of two numbers is 45 times their HCF. If one of the numbers is 125 and the sum of HCF and LCM is 1150, the other number is :
A.  215 B.    220
C.  225 D.    235
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2 . The greatest number that exactly divides 105, 1001 and 2436 is :
A.  3 B.    7
C.  11 D.    21
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3 . The smallest fraction, which each of $6\over7$,$5\over14$,$10\over21$ will divide exactly is :
A.  $30\over7$ B.    $30\over98$
C.  $60\over147$ D.    $50\over294$
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4 . The least number, which when divided by 48, 60, 72, 108 and 140 leaves 38, 50, 62, 98 and 130 as remainders respectively, is :
A.  11115 B.    15110
C.  15120 D.    15210
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5 . The HCF of two numbers is 12 and their difference is 12. The numbers are :
A.  66,78 B.    70,82
C.  94,106 D.    84,96
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6 . The HCF and LCM of two numbers are 11 and 385 respectively. If one number lies between 75 and 125, then that number is :
A.  77 B.    88
C.  99 D.    110
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7 . The greatest number which can divide 1356, 1868 and 2764 leaving the same remainder 12 in each case, is :
A.  64 B.    124
C.  156 D.    260
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8 . 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
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9 . Four different electronic devices make a beep after every 30 minutes, 1 hour, 1 $1\over 2$ hour and 1 hour 45 minutes respectively. All the devices beeped together at 12 noon. They will again beep together at :
A.  12 midnight B.    3 am
C.  6 am D.    9 am
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10 . Find the highest common factor of 36 and 84.
A.  4 B.    6
C.  12 D.    18
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