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Question-1
Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.
(A)
4
(B)
7
(C)
9
(D)
13
Question-2
The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:
(A)
3
(B)
13
(C)
23
(D)
33
Question-3
The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:
(A)
74
(B)
94
(C)
184
(D)
364
Question-4
The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is:
(A)
1
(B)
2
(C)
3
(D)
4
Question-5
Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is:
(A)
40
(B)
80
(C)
120
(D)
200
Question-6
The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is:
(A)
504
(B)
536
(C)
544
(D)
548
Question-7
Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is:
(A)
75
(B)
81
(C)
85
(D)
89
Question-8
The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:
(A)
276
(B)
299
(C)
322
(D)
345
Question-9
If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to:
(A)
55/601
(B)
601/55
(C)
11/120
(D)
120/11
Question-10
Find the highest common factor of 36 and 84.
(A)
4
(B)
6
(C)
12
(D)
18
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Advanced MCQs
Competitive Examinations
Practice in Related Chapters
Problems on Numbers
Time and Work
Time and Distance
NUMBER SYSTEM
PARTNERSHIP
PROBABILITY
STOCK AND SHARES
CLOCKS
PROBLEMS ON H.C.F AND L.C.M
DECIMAL FRACTIONS
ALLIGATION OR MIXTURE
CHAIN RULE
STOCKS & SHARES
SIMPLE INTEREST
AREA
NUMBERS
SIMPLIFICATION
AVERAGE
Logarithm
Pipes and Cistern
Volume and Surface Area
Odd Man Out and Series
Compound Interest
Problems on Trains
Square Roots & Cube Roots
Ratio and Proprotion
CALENDAR
Banker's Discount
Number Series
Boats and Streams
Percentage
Surds and Indices
Permutation and Combination
Races and Games
Profit and Loss
Height and Distance
Problems on Ages
Ratio andProportion
Square Root
Progressions
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