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Practice Questions
Note: You can add tough questions into your favourite list for second revision. 
The L.C.M. of two numbers is 48. The numbers are in the ratio 2: 3. The sum of the numbers is :  
A.  28 [Wrong Answer] 
B.  32 [Wrong Answer] 
C.  40 [Correct Answer] 
D.  64 [Wrong Answer] 
View Answer
Explanation:
Answer : C Discuss it below :Let the numbers be 2x and 3x. Then, their L.C.M. = 6x. So, 6x = 48 or x = 8. ∴ The numbers are 16 and 24. Hence, required sum = (16 + 24) = 40. Click here for more comments 
Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.  
A.  4 [Correct Answer] 
B.  7 [Wrong Answer] 
C.  9 [Wrong Answer] 
D.  13 [Wrong Answer] 
View Answer

The sum of two numbers is 216 and their H.C.F. is 27. The numbers are :  
A.  27, 189 [Correct Answer] 
B.  81, 189 [Wrong Answer] 
C.  108, 108 [Wrong Answer] 
D.  154, 162 [Wrong Answer] 
View Answer
Explanation:
Answer : A Discuss it below :Let the required numbers be 27a and 27b. Then, 27a + 27b = 216 <=> a + b = 8 Now, coprimes with sum 8 are (1, 7) and (3, 5). Required numbers are (27 x 1, 27 x 7) and (27 x 3, 27 x 5) i.e., (27, 189) and (81, 135). Out of these, the given one in the answer is the pair (27, 189). Click here for more comments 
The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is :  
A.  12 [Wrong Answer] 
B.  16 [Wrong Answer] 
C.  24 [Wrong Answer] 
D.  48 [Correct Answer] 
View Answer
Explanation:
Answer : D Discuss it below :Let the numbers be 3x and 4x. Then, their H.C.F. = x So, x = 4. So, the numbers are 12 and 16. L.C.M. of 12 and 16 = 48. Click here for more comments 
The H.C.F. of two numbers is 11 and their L.C.M. is 693. If one of the numbers is 77, find the other.  
A.  66 [Wrong Answer] 
B.  89 [Wrong Answer] 
C.  79 [Wrong Answer] 
D.  99 [Correct Answer] 
View Answer
Explanation:
Answer : D Discuss it below : No1 X No2 = L.C.M X H.C.F ^{77} Click here for more comments 
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