Elitmus
Exam
Category
explain the ans
A: equation 1990x - 173y = 11 has no solutions in integers for x,y.
B: there exists only one prime number p such that (17p+1) is a perfect square.
which are correct
A, B, Both, Neither
Read Solution (Total 4)
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- updated...
B is correct.
A: equation 1990x - 173y = 11 is satisfied by x=22 and y= 253
Its a bit tricky one.
At x=2 and y= 23; 1990x - 173y =1
At x=4 and y= 46; 1990x - 173y =2
At x=6 and y=69; 1990x - 173y =3
At x=8 and y=92; 1990x - 173y =4
At x=10 and y=115; 1990x - 173y =5
Thus its a series...
So, Procedding in the same way....
At x=22 and y=253; 1990x - 173y =11
B: there exists only one prime number p such that (17p+1) is a perfect square.
At p=19
17*19+1=324=18^2
- 9 years agoHelpfull: Yes(4) No(0)
- @Siddarth
Can you please expalin statement B clearly. - 9 years agoHelpfull: Yes(2) No(0)
- B is correct.
A: equation 1990x - 173y = 11 is satisfied by x=22 and y= 253
B: there exists only one prime number p such that (17p+1) is a perfect square.
17*15+1=256=16^2
- 9 years agoHelpfull: Yes(0) No(2)
- @SIDDHARTH PRAKASH SINGH
A: how did u get values of x,y//// x=22 and y= 253 explain!
B: 15 is not prime - 9 years agoHelpfull: Yes(0) No(0)
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