02/04/2019 11:49 pm
0
how many positive integers less than or equal to 120 are relatively prime to 120?
0
02/04/2019 11:51 pm
the value of x+y such that x square - y square =343 and x,y are positive integers is,
1. 343
2. 49
3. 7
4. a or b
Gaurav Jain 03/04/2019 2:17 pm
(x+y)(x-y) = 343
possible solutions
343*1
49*7
Hence value of x+y is a or b
0
02/04/2019 11:52 pm
the difference between the cubes of two consecutive positive integers is 1027. then the product of these integers is.
Gaurav Jain 03/04/2019 2:13 pm
(a+1)^3 - a^3 = 1027
3a^2+3a+1 = 1027
3(a^2+a) = 1026
a^2 +a = 342
a(a+1) = 342
0
02/04/2019 11:56 pm
The teacher of Confucius, the confused soul, told him: "my age a two digit number is not prime but odd and if you reverse the digits of my age and add that number to my age , you obtain a number that is a perfect square. if you reverse the digits of my age and subtract the number from my age you again have a perfect square.
the age of Confucius teacher was a number divisible by
7, 9, 13, 15
Gaurav Jain 03/04/2019 2:11 pm
ab= 10a+b
ba = 10b+a
sum = 11a+11b = 11(a+b), since it is a perfect square, hence a+b = 11
possible values (65, 74, 83, 92)
only difference 0f 65 and 56 (reverse) is perfect square.
Hence number is 65
65 is divisible by 13.
0
09/06/2024 2:42 am
1/X + 1/Y = 1/3....How many ordered pair (x.y) satisfy this.
Anu 09/06/2024 2:44 am
Let x be p more than 3 and y be q more than 3
then we have
(1/3+p)+(1/3+q)=1/3
3(6+q+p)=9+pq+3p+3q
18+3q+3p=9+pq+3p+3q
9=pq
now pq can be (1,9),(3,3),(9,1) and x and y can be(4,12),(6,6),(12,4)
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