Properties of Functions and Graphs
Sets, Relation and Function

117010 The equation \(3^{|3 x+4|}=9^{2 x-2}, x>0\) has the solution

1 \(\frac{7}{8}\)
2 \(\frac{8}{7}\)
3 \(\frac{-3}{4}\)
4 None of these
Sets, Relation and Function

117011 The number of ordered pairs \((x, y)\) of integers satisfying \(x^3+y^3=65\) is

1 0
2 2
3 4
4 6
Sets, Relation and Function

117012 The number of ordered pairs \((x, y)\) of positive integers satisfying \(2^x+3^y=5^{x y}\) is

1 1
2 2
3 5
4 infinite
Sets, Relation and Function

117013 If \([x]\) represents the greatest integer not greater than \(x\) then \(\left[\left(1+\frac{1}{100000}\right)^{100000}\right]=\)

1 1
2 3
3 2
4 4
Sets, Relation and Function

117010 The equation \(3^{|3 x+4|}=9^{2 x-2}, x>0\) has the solution

1 \(\frac{7}{8}\)
2 \(\frac{8}{7}\)
3 \(\frac{-3}{4}\)
4 None of these
Sets, Relation and Function

117011 The number of ordered pairs \((x, y)\) of integers satisfying \(x^3+y^3=65\) is

1 0
2 2
3 4
4 6
Sets, Relation and Function

117012 The number of ordered pairs \((x, y)\) of positive integers satisfying \(2^x+3^y=5^{x y}\) is

1 1
2 2
3 5
4 infinite
Sets, Relation and Function

117013 If \([x]\) represents the greatest integer not greater than \(x\) then \(\left[\left(1+\frac{1}{100000}\right)^{100000}\right]=\)

1 1
2 3
3 2
4 4
Sets, Relation and Function

117010 The equation \(3^{|3 x+4|}=9^{2 x-2}, x>0\) has the solution

1 \(\frac{7}{8}\)
2 \(\frac{8}{7}\)
3 \(\frac{-3}{4}\)
4 None of these
Sets, Relation and Function

117011 The number of ordered pairs \((x, y)\) of integers satisfying \(x^3+y^3=65\) is

1 0
2 2
3 4
4 6
Sets, Relation and Function

117012 The number of ordered pairs \((x, y)\) of positive integers satisfying \(2^x+3^y=5^{x y}\) is

1 1
2 2
3 5
4 infinite
Sets, Relation and Function

117013 If \([x]\) represents the greatest integer not greater than \(x\) then \(\left[\left(1+\frac{1}{100000}\right)^{100000}\right]=\)

1 1
2 3
3 2
4 4
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Sets, Relation and Function

117010 The equation \(3^{|3 x+4|}=9^{2 x-2}, x>0\) has the solution

1 \(\frac{7}{8}\)
2 \(\frac{8}{7}\)
3 \(\frac{-3}{4}\)
4 None of these
Sets, Relation and Function

117011 The number of ordered pairs \((x, y)\) of integers satisfying \(x^3+y^3=65\) is

1 0
2 2
3 4
4 6
Sets, Relation and Function

117012 The number of ordered pairs \((x, y)\) of positive integers satisfying \(2^x+3^y=5^{x y}\) is

1 1
2 2
3 5
4 infinite
Sets, Relation and Function

117013 If \([x]\) represents the greatest integer not greater than \(x\) then \(\left[\left(1+\frac{1}{100000}\right)^{100000}\right]=\)

1 1
2 3
3 2
4 4