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SAMPLE QUESTIONS

Q1. Let X be the set of all graduates in India. Elements x and y in X are said to be related if they are graduates of the same university. Which one of the following statements is correct?

(A) Relation is symmetric and transitive only.
(B) Relation is reflexive and transitive only.
(C) Relation is symmetric and transitive.
(D) Relation is reflexive, symmetric and transitive.

Q2. A is associated with

(A) 1, 3, 5, 8, 9, 12
(B) 2, 4, 6, 8, 10, 11
(C) 1, 3, 5, 7, 10, 11
(D) None of the above

Q3. If the product of the roots of the equation x² – 5x + k = 15 is –3, then what is the value of k?

(A) 12
(B) 15
(C) 16
(D) 18

Q4. Consider the following statement:

1. Every function has a primitive.
2. A primitive of a function is unique.

Which of the statements given above is/are correct?

(A) 1 only
(B) 2only
(C) Both 1 and 2
(D) Neither 1 nor 2

Q5. What is the number of three-digit odd number formed by using the digits 1, 2, 3, 4, 5, 6, if repetition of digits allowed?

(A) 60
(B) 108
(C) 120
(D) 216