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Linear Equations Quiz || DUJAT 2021 || 3 September
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Question 1
The pair of linear equations 
and 
intersect each other, if
and intersect each other, if Question 2
What is the lowest common multiple of ab (x2 + 1) + x (a2 + b2) and ab (x2 – 1) + x (a2 – b2)?
Question 3
If ax + by – 2 = 0 and ax.by = 1, where a ≠ 0, b ≠ 0, then what is (a2x + b2y) equal to?
Question 4
What number must be subtracted from both the numerator and the denominator of the fraction 
so that it becomes 
?
so that it becomes ? Question 5
The system of equations 
and 
is
and is Question 6
If 
and 
then 
equal to:
and then equal to:
Question 7
A tin of oil was 
full. When 6 bottles of oil were taken out from this tin and 4 bottles of oil were poured into it, it was 
full. Oil of how many bottles can the tin contains? (All bottles are of equal volume)
full. When 6 bottles of oil were taken out from this tin and 4 bottles of oil were poured into it, it was full. Oil of how many bottles can the tin contains? (All bottles are of equal volume)
Question 8
Consider the following statements:
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?
Question 9
If 
and 
, then what is 
equal to?
and , then what is equal to? Question 10
A student was asked to multiply a number by 25 . He instead multiplied the number by 52 and got the answer 324 more than the correct answer. The number to be multiplied was
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