11.
The H.C.F. of two numbers is 12 and their difference is 12. The numbers are:
• A.
66, 78
• C.
94, 106
• B.
70, 82
• D.
84, 96
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Explanation :
 Out of the given numbers, the two with H.C.F. 12 and difference 12 are 84 and 96
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12.
The L.C.M. of 23 x 32 x 5 x 11, 24 x 34 x 52 x 7 and 25 x 33 x 53 x 72 x 11 is:
• A.
23 x 32 x 5
• C.
23 x 32 x 5 x 7 x 11
• B.
25 x 34 x 53
• D.
25 x 34 x 53 x 72 x 11
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Explanation :
 L.C.M. = Product of highest powers of prime factors = 25 x 34 x 53 x 72 x 11
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13.
Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.
• A.
4
• C.
9
• B.
7
• D.
13
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Explanation :

Required number = H.C.F. of (91 � 43), (183 � 91) and (183 � 43)

 = H.C.F. of 48, 92 and 140 = 4

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14.
The smallest number which when diminished by 7, is divisible by 12, 16, 18, 21 and 28 is:
• A.
1008
• C.
1022
• B.
1015
• D.
1032
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Explanation :

Required number = (L.C.M. of 12, 16, 18, 21, 28) + 7

 = 1008 + 7

 = 1015

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15.
The maximum number of students among them 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
• C.
1001
• B.
910
• D.
1911