1
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Let A = {7, 8, 9, 10, 11, 12, 13; 14, 15, 16} and let f ∶ A → N be defined by f(x) = the highest prime factor of x.
How many elements are there in the range of f?
2
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Let R be a relation from N to N defined by R = {(x, y): x, y ∈ N and x2 = y3}. Which of the following are not correct?
1. (x, x) ∈ R for all x ∈ N
2. (x, y) ∈ R ⇒ (y, x) ∈ R
3. (x, y) ∈ R and (y, z) ∈ R ⇒ (x, z) ∈ R
Select the correct answer using the code given below :
3
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following :
1. A ∩ B = A ∩ C ⇒ B = C
2. A ∪ B = A ∪ C ⇒ B = C
Which of the above is/are correct ?
4
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
A university awarded medals in basketball, football, and volleyball. Only x students (x < 6) got medal in all the three sports and the medals went to a total of 15x students. It awarded 5x medals in basketball, (4x + 15) medals in football and (x + 25) medals in volleyball.
How many received medals in exactly two of the three sports ?
Questions Asked from Sets, Relations and Functions (Marks 2.5)
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