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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
![](https://gradeup-question-images.grdp.co/liveData/PROJ19331/1532946406341831.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ19331/1532946407057379.png)
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
?
![](https://gradeup-question-images.grdp.co/liveData/PROJ19331/1532946437151960.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ19331/1532946437876240.png)
Question 5
The system of equations
and
is
![](https://gradeup-question-images.grdp.co/liveData/PROJ19331/1532946587174148.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ19331/153294658787339.png)
Question 6
If
and
then
equal to:
![](https://gradeup-question-images.grdp.co/liveData/PROJ24737/1551874742923411.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ24737/1551874743720958.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ24737/1551874744489873.png)
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)
![](https://gradeup-question-images.grdp.co/liveData/PROJ41848/1576754183637413.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ41848/1576754184311368.png)
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?
![](https://gradeup-question-images.grdp.co/liveData/PROJ16868/1531898614847137.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ16868/153189861557691.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ16868/1531898616258541.png)
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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