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Buy RRB - ALP & Technicians Practice test pack

Question - 1

Which of the following are statements?

i) May God bless you.                          ii) Rose is a flower            iii) Milk is white.                    iv) 1 is a prime number

  • A (i), (ii), (iii)
  • B (i), (ii),(iv)              
  • C (i), (iii), (iv)            
  • D (ii), (iii), (iv)

Question - 2

If a compound statement is made up of three simple statements, then the number of rows in the truth table is

  • A 8
  • B 6
  • C 4
  • D 2

Question - 3

If p is T and q is F, then which of the following have the truth value T ?

(i) p v q                                   (ii) ~ p v q                                             

iii) p v~q                                  iv) p ^ ~ q

  • A (i), (ii), (iii)
  • B (i), (ii),(iv)              
  • C (i), (iii), (iv)
  • D (ii), (iii), (iv)

Question - 4

The number of rows in the truth table of ~ [ p ^ (~q) ] is

  • A 2
  • B 4
  • C 6
  • D 8

Question - 5

The conditional statement  \(p\rightarrow q\) is equivalent to

  • A p v q
  • B p v ~ q
  • C ~p v q
  • D p ^ q

Question - 6

 Which of the following is a tautology?

  • A p v q
  • B p ^ q       
  • C p v ~p
  • D p ^ ~p

Question - 7

Which of the following is a contradiction?

  • A p v q
  • B p ^ q       
  • C p v ~p
  • D p ^ ~p

Question - 8

\(p\leftrightarrow q\\ \) is equivalent to

  • A \(p\rightarrow q\)
  • B \(q\rightarrow p\)
  • C (\(p\rightarrow q\))\(\vee \)(\(q\rightarrow p\))
  • D (\(p\rightarrow q\))\(\wedge \)(\(q\rightarrow p\))

Question - 9

Which of the following is not a binary operation on R?

  • A a * b = ab
  • B a * b = a – b
  • C a * b = \(\sqrt { ab } \)
  • D a * b = \(\sqrt { { a }^{ 2 }+{ b }^{ 2 } } \)

Question - 10

A monoid becomes a group if it also satisfies the

  • A closure axiom
  • B associative axiom
  • C identity axiom
  • D inverse axiom