CAT
Exam
How many factors of 1800 are perfect square ?
A)4 B)5 C)6 D)7
Read Solution (Total 10)
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- Ans is d)7
factors of 1800 which are perfect square:4,9,25,36,100,225,900. - 12 years agoHelpfull: Yes(6) No(0)
- look 1800 can be broken as 2^3 3^2 5^2
nw the combinations of perfect square that can be made is 2^2 , 3^2, 5^2 , 2^2*3^2 ,2^2*5^2 , 3^2*5^2 , 2^2*3^2*5^2.............tats all 7 combination soo the ans is 7....
- 12 years agoHelpfull: Yes(2) No(0)
- Ans. D)7.
The required factors are 4, 9, 25, 36, 100, 225, 900 - 12 years agoHelpfull: Yes(1) No(0)
- D)7
4,25,9,10,15,6,30 - 12 years agoHelpfull: Yes(1) No(1)
- Ans:(d)
[2^0+2^1+2^2+2^3]*[3^0+3^1+3^2]*[5^0+5^1+5^2]
from above expression we get factors:4,25,36,100,225,900. - 12 years agoHelpfull: Yes(1) No(0)
- ans is 7
factors of 1800 which are perfect square are 4,9,25,36,100,225,900 - 12 years agoHelpfull: Yes(1) No(0)
- solution is 8 coz 1,4,9,25,36,100,225,900
- 12 years agoHelpfull: Yes(1) No(1)
- 1800=3^2 * 5^2 * 2^3
factors which are perfect sq are 4, 25, 9, 100, 225,36, 900 - 12 years agoHelpfull: Yes(1) No(0)
- 1800 = 2^3 * 5^2 * 3^2;
=(floor(3/2)+1)(floor(2/2)+1)(floor(2/2)+1)(in 3/2 3 is pow f 1st prime factor)
= (1+1)*(1+1)*(1+1)-1(subtracting to avoid taking 1 as factor) - 12 years agoHelpfull: Yes(1) No(0)
- solution b) 5
possible perfect squares of 1800 are 4,9, 25 ,36, 100 - 12 years agoHelpfull: Yes(0) No(7)
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