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?
Correct answer: D. 845
- A. 245
- B. 125
- C. 485
- D. 845
Explanation
Since 5 plants remain for rows of 6, 8, 10 and 12, the number minus 5 must be a multiple of LCM(6, 8, 10, 12) = 120. Testing the options, 845 - 5 = 840, which is divisible by 120, and 845 is divisible by 13. The likely wrong choice is 245, which leaves 5 for some row sizes but is not divisible by 13.
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? [email protected]
About Sequences and Series
Sequences describe ordered terms formed by a pattern, while series represent the sum of those terms. Questions cover arithmetic and geometric sequences, their nth terms, common difference or ratio, finite sums, and applications, with the sequence itself kept distinct from the corresponding series.
Practise Algebra
269 free Algebra MCQs from Mathematics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Discussion
Stuck on an option, or know a faster way to get there? Ask or explain it here.
No comments yet. Be the first to explain this one.
Exams that ask Mathematics questions like this
Mathematics is on 76 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
More Sequences and Series questions
Find the smallest number which when increased by 5, divisible by 6, 9, 15, 20 and 24?
Find the greatest 4-digit number exactly divisible by 3, 4 and 5?
The wheels revolve round a common horizontal axis. They make 15, 20 and 48 revolutions in a minute respectively. Starting with a certain point on the circumference down wards. After what interval of time will they come together in the same position?
The sum of the square of the three consecutive even natural numbers is 1460. Find the numbers?
Who is Called the Father of Calculus?
Find the one which does not belong to that group ?