Find the least number which is a perfect square and also divisible by

1.	Find the least number which is a perfect square and also divisible by 6,15,12
Answer» Answer: The LCM of 6, 15, and 12 is 2×3×5×2 = 60. prime factorisation of 60 is 60= 2×2 ×3×5. we see that prime factors 3 and 5 are not in pairs. Therefore 60 is not a perfect SQUARE. In order to get a perfect square, each FACTOR of 60 must be paired. So we NEED to make pairs of 3 and 5 . Therefore, 60 should be multiplied by 3×5,i.e., 15 . Hence, the REQUIRED square number is 60×15 = 900.

Find the least number which is a perfect square and also divisible by 6,15,12

Answer»

Answer:

The LCM of 6, 15, and 12 is 2×3×5×2 = 60.

prime factorisation of 60 is 60= 2×2 ×3×5.

we see that prime factors 3 and 5 are not in pairs. Therefore 60 is not a perfect SQUARE.

In order to get a perfect square, each FACTOR of 60 must be paired. So we NEED to make pairs of 3 and 5 . Therefore, 60 should be multiplied by 3×5,i.e., 15 .

Hence, the REQUIRED square number is 60×15

= 900.

Discussion

No Comment Found

Related InterviewSolutions

1. ਜੇਕਰ ਕੋਈ ਵਕਰ ਰੇਖਾ ਆਪਣੇ ਆਪ ਨੂੰ ਨਾਂ ਕੱਟੇ ਤਾਂ ਉਹਵਕਰ ਹੁੰਦੀIf any curve does not intersect itself then the curve is called
Tanusec²u
Check whether the following equations are consistent or inconsistent. Solve them graphically.a) 3x+2y=5 2x - 3y = 7b) 2x - 3y = 8 4x -6y = 9c) 3/2 x + 5/3 y = 7 9x - 10y=14d) 5x-3y = 11 -10x+6y = -22e) x +2y = 8 2x+3y = 12f) x + y = 5 2x+2y = 10g) x - y = 8 3x-3y = 16h) 2x + y-6 = 0 4x-2y- 4 = 0i) 2x-2y - 2 = 0 4x-4y- 5 = 0
Can a perfect square be a term of the sequence 2,5,8,11... How can you realize this?
U wGENERAL SIMPLIFICATIONS273.A platform is to be built for a machine and the size would be 12 metreslong, 6 metres high and 3 decimetres thickness. How many bricks arerequired, if the size of a brick is 24 x 12 x 5 cm ?[I.T.I. July 1984, Motor Mech. Preliminary]
The map shows the location of the airport in a warehouse in a city. Though not displayed on the map, there is also a factory 88 miles due North of the warehouse. A truck travelled from the warehouse to the airport and then to the factory will is the total number of miles to truck traveled?A. 176 miles B. 198 milesC. 220 milesD. 250 milesPls only serious answers
Find the number of terms in the series 2, 5, 8, ... if the last term is 95.
Find the cube root of the following number A:5832 B:85.184 C:42.875with easy process explanation
One is asked to say a two digit number.a) How many two digit numbers are there ? b) What is the probability of getting a number in which one of the digits is 1 ? c) What is the probability of getting a number in which the product of the digits is a prime number ?
5. A cubical tank with edge 2 m is filled withwater. How many buckets of capacity 10 litrecan be filled from the tank?

Find the least number which is a perfect square and also divisible by 6,15,12

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment