Question : What is the least number of soldiers that can be drawn up in troops of 10, 12, 15, 18 and 20 soldiers, and also in the form of a solid square?
Option 1: 400
Option 2: 625
Option 3: 900
Option 4: 180

Question

Question : What is the least number of soldiers that can be drawn up in troops of 10, 12, 15, 18 and 20 soldiers, and also in the form of a solid square?

Option 1: 400

Option 2: 625

Option 3: 900

Option 4: 180

Team Careers360 · Accepted Answer

Correct Answer: 900

Solution : In this type of problem, we find the LCM of five numbers first and then we look for what makes the LCM a perfect square.
1st term = 10 = 5 × 2
2nd term = 12 = 2 × 2 × 3
3rd term = 15 = 3 × 5
4th term = 18 = 2 × 3 × 3
5th term = 20 = 2 × 2 × 5
Hence, LCM ( 12, 10, 15, 18, 20) = 2 × 2 × 3 × 3 × 5 = 180
Since the LCM = 180 is not a perfect square, we make it a perfect square by multiplying 5 (which is
the least value to be multiplied)
Then 180 × 5 = 900 = $30^2$
$ herefore$ 900 soldiers can be drawn up in the form of a square.
Hence, the correct answer is 900.

Popular Searches

Question : What is the least number of soldiers that can be drawn up in troops of 10, 12, 15, 18 and 20 soldiers, and also in the form of a solid square?
Option 1: 400
Option 2: 625
Option 3: 900
Option 4: 180

Related Questions

Question : If the area of a square is decreased by 19%, then the diagonal of the square is decreased by:
Option 1: 10%
Option 2: 15%
Option 3: 5%
Option 4: 12%

Question : What is the smallest perfect square number that is completely divisible by 4, 6, 9, 12, and 15?
Option 1: 784
Option 2: 900
Option 3: 961
Option 4: 841

Question : The average of 25 results is 20. The average of the first 12 results is 15 and that of the last 12 results is 18. Then, the 13^th result is:
Option 1: 100
Option 2: 101
Option 3: 104
Option 4: 103

Question : Directions: If + means ÷, – means +, × means – and ÷ means ×, then what will come in place of (?) in the given equation?
5 ÷ 2 – 20 + 5 × 2 = ?
Option 1: 12
Option 2: 15
Option 3: 20
Option 4: 10

Question : The average of 25 results is 20. The average of the first 12 results is 15 and that of the last 12 results is 18. Then the 13th result is:
Option 1: 100
Option 2: 101
Option 3: 104
Option 4: 103

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Popular Searches

Question : What is the least number of soldiers that can be drawn up in troops of 10, 12, 15, 18 and 20 soldiers, and also in the form of a solid square?Option 1: 400Option 2: 625Option 3: 900Option 4: 180

Related Questions

Question : If the area of a square is decreased by 19%, then the diagonal of the square is decreased by:Option 1: 10%Option 2: 15%Option 3: 5%Option 4: 12%

Question : What is the smallest perfect square number that is completely divisible by 4, 6, 9, 12, and 15?Option 1: 784Option 2: 900Option 3: 961Option 4: 841

Question : The average of 25 results is 20. The average of the first 12 results is 15 and that of the last 12 results is 18. Then, the 13th result is: Option 1: 100Option 2: 101Option 3: 104Option 4: 103

Question : Directions: If + means ÷, – means +, × means – and ÷ means ×, then what will come in place of (?) in the given equation? 5 ÷ 2 – 20 + 5 × 2 = ?Option 1: 12Option 2: 15Option 3: 20Option 4: 10

Question : The average of 25 results is 20. The average of the first 12 results is 15 and that of the last 12 results is 18. Then the 13th result is:Option 1: 100Option 2: 101Option 3: 104Option 4: 103