Mathematics Mcqs

Find the lowest 4-digit number which when divided by 3, 4 or 5 leaves a remainder of 2 in each case?

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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
Explanation:
Lowest 4-digit number is 1000.
LCM of 3, 4 and 5 is 60.
Dividing 1000 by 60, we get the remainder 40. Thus, the lowest 4-digit number that exactly divisible by 3, 4 and 5 is 1000 + (60 – 40) = 1020.
Now, add the remainder 2 that’s required. Thus, the answer is 1022.

A gardener was asked a plant flowers in a row containing equal number of plants. He tried to plant 6, 8, 10 and 12 in each row, but 5 plants left in each case. When he planted 13 in a row, no plant was left. Find the number of plants with him?

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A gardener was asked a plant flowers in a row containing equal number of plants. He tried to plant 6, 8, 10 and 12 in each row, but 5 plants left in each case. When he planted 13 in a row, no plant was left. Find the number of plants with him?

A. 245
B. 125
C. 485
D. 845