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Exam Details

2019 Mathematics

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Questions 120
Duration 180 mins
Package Combined SO (Grade B) LDC Examination - Previous Year Papers

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Difficulty distribution

Medium 40 33.3%
Hard 40 33.3%
Easy 40 33.3%

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Multiple Choices 120 100%

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Sample questions from this paper

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1
2019 · Unclassified
2019 Mathematics
What is the nth term of the sequence 25, -125, 625, -3125, ... ?
A
(-5)2n−1
B
(-1)2n 5n+1
C
(-1)2n−1 5n+1
D
(-1)n−1 5n+1
2
2019 · Unclassified
2019 Mathematics
Suppose X = {1, 2, 3, 4} and R is a relation on X. If R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 1), (2, 3), (3, 2)}, then which one of the following is correct ?
A
R is reflexive and symmetric, but not transitive
B
R is symmetric and transitive, but not reflexive
C
R is reflexive and transitive, but not symmetric
D
R is neither reflexive nor transitive, but symmetric
3
2019 · Unclassified
2019 Mathematics
A relation R is defined on the set N of natural numbers as xRy ⇒ x2 - 4xy + 3y2 = 0. Then which one of the following is correct ?
A
R is reflexive and symmetric, but not transitive
B
R is reflexive and transitive, but not symmetric
C
R is reflexive, symmetric and transitive
D
R is reflexive, but neither symmetric nor transitive
4
2019 · Unclassified
2019 Mathematics
If A = {x ∈ Z : x3 - 1 = 0} and B = {x ∈ Z : x2 + x + 1 = 0}, where Z is set of complex numbers, then what is A ∩ B equal to ?
A
Null set
B
{(-1 + √3 i)/2 , (-1 - √3 i)/2}
C
{(-1 + √3 i)/4 , (-1 - √3 i)/4}
D
{(1 + √3 i)/2 , (1 - √3 i)/2}
5
2019 · Unclassified
2019 Mathematics
Consider the following statements for the two non-empty sets A and B : 1. (A ∩ B) ∪ (A ∩ B̅) ∪ (A̅ ∩ B) = A ∪ B 2. (A ∪ (A̅ ∩ B̅)) = A ∪ B Which of the above statements is/are correct ?
A
1 only
B
2 only
C
Both 1 and 2
D
Neither 1 nor 2
6
2019 · Unclassified
2019 Mathematics
Let X be a non-empty set and let A, B, C be subsets of X. Consider the following statements : 1. A ⊂ C ⇒ (A ∩ B) ⊂ (C ∩ B), (A ∪ B) ⊂ (C ∪ B) 2. (A ∩ B) ⊂ (C ∩ B) for all sets B ⇒ A ⊂ C 3. (A ∪ B) ⊂ (C ∪ B) for all sets B ⇒ A ⊂ C Which of the above statements are correct ?
A
1 and 2 only
B
2 and 3 only
C
1 and 3 only
D
1, 2 and 3