A. 16
B. 17
C. 18
D. 19
Explanation:
Subtract the remainder 3 from each of the given numbers: (19-3)=16, (67-3)=64 and (83-3)=80. Now, find the HCF of the results 16, 64 and 80, we get 16. Thus, the greatest number is 16.
Related Mcqs:
- Find the greatest number that, while dividing 47, 215 and 365, gives the same remainder in each case?
A. 3
B. 4
C. 5
D. 6 - Find the least number which when divided by 35 leaves remainder 25, when divided by 25 leaves remainder 15 and when divided by 15 leaves remainder 5?
A. 420
B. 515
C. 435
D. 518 - Find the greatest number which will divide 25, 73 and 97 as so to leave the same remainder in each case?
A. 12
B. 18
C. 24
D. 32 - A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A’s income is increased by Rs.200 when the rate to profit rises from 5 to 7 percent. Find the Capital of B?
A. Rs.2450
B. Rs.3600
C. Rs.2500
D. Rs.3100 - The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is_________?
A. 123
B. 127
C. 235
D. 305 - Find the lowest 4-digit number which when divided by 3, 4 or 5 leaves a remainder of 2 in each case?
A. 1020
B. 1026
C. 1030
D. 1022 - While selling the watch, a shopkeeper gives a discount of 5% if he gives a discount of 7 % he earns Rs. 15 less as profit. The marked price of the watch is:
A. Rs. 697.50
B. Rs. 712.50
C. Rs. 787.50
D. None of these - The least number which when divided by 8, 12 and 16, leave in each remainder 3, is_______?
A. 71
B. 70
C. 69
D. 51 - Two numbers 4242 and 2903 when divided by a certain number of three digits, leave the same remainder. Find the number?
A. 101
B. 103
C. 107
D. 113 - Find the least number which when divide by 2, 3, 4, 5 and 6 leaves 1, 2, 3, 4 and 5 as remainders respectively, but when divided by 7 leaves no remainder?
A. 210
B. 119
C. 126
D. 154
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