Consider the following statement 1 The equation 1990x ndash 173y 11 has no solution in integers for ...........

Quantitative Aptitude (CDS) Quadratic Equations

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Consider the following statement:

1. The equation 1990x – 173y = 11 has no solution in integers for x and y.

2. The equation 3x– 12y = 7 has no solution in integers for x and y.

Which of the above statements is/are correct?

1 only

2 only

Both 1 and 2

Neither 1 nor 2

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Explanation:

Statement 1: 1990x − 173y = 11
x= 0, y =−11/173
, x = 1, y =(1990−11)/173= 11.43
y = 0, x =11/1990
, y = 1, x =(11+173)/1990= 0.0924
This equation has no integers solution for any value of x and y.
Statement 2: 3?? – 12?? = 7
x = 0, y =−7/12= -0.5833

, x = 1, y = −0.333
y = 0, x =7/3= 2.33,

y= 1, x = 6.33
So statement 1 and statement 2 both are correct