JEE MAIN – Paper I – Maths – Solve 2017 Question paper
No of questions – 30
Marks : 120 (30×4)
Time : 30 mins
JEE MAIN – Paper I – Maths – Solve 2017 Question paper
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Question 1 of 30
1. Question
If S is the set of distinct values of b for which the following system of linear equations
x + y + z = 1,
x + ay + z = 1
and ax + by + z = 0
has no solution, then S is
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Question 2 of 30
2. Question
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Question 3 of 30
3. Question
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Question 4 of 30
4. Question
For three events A, B and C, if P(exactly one of A or B occurs) = P(exactly one of B or C occurs) = P(exactly one of C or A occurs) = 1/4 and P(all the three events occur simultaneously) = 1/16, then the probability that atleast one of the events occurs, is
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Question 5 of 30
5. Question
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Question 6 of 30
6. Question
Let k be an integer such that the triangle with vertices (k, 3k), (5,k) and (k,2) has area 28 sq units. Then, the orthocentre of this triangle is at the point
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Question 7 of 30
7. Question
If 20 m of wire is available for fencing off a flower – bed in the form of a circular sector, then the maximum area (in sq m) of the flower – bed is
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Question 23 of 30
23. Question
If two different numbers are taken from the set {0,1,2,3, …, 10}, then the probability that their sum as well as absolute difference are both multiple of 4, is
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Question 24 of 30
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Question 29 of 30
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Question 30 of 30
30. Question
A box contains 15 green and 10 yellow balls. If 10 balls are randomly drawn onebyone with replacement, then the variance of the number of green balls drawn is
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