MTH001- Elementary Mathematics Mid Term Past Paper

Question No: 1      ( Marks: 1 ) – Please choose one

 

 

  Consider the following diagram

  Then the shaded region is

 

 

       ► A Ç B È C

 

       ► (A Ç B) – C

 

       ► (B Ç C) – A

 

       ► (A Ç C) – B

 

Question No: 2      ( Marks: 1 ) – Please choose one

 

 

For sets A and B, if A  B , then

 

 

       ► A^c B = A

 

 

       ► A B = A

 

 

       ► A B = A

Question No: 3      ( Marks: 1 ) – Please choose one

 

 

If A = {1, 2, 3, 4} then A is proper subset of A.

 

 

       ► True

 

       ► False

 

Question No: 4      ( Marks: 1 ) – Please choose one

 

 

{x}Í {x}

 

 

       ► True

 

       ► False

 

Question No: 5      ( Marks: 1 ) – Please choose one

 

 

If P and Q are proposition, P is true and Q is false, then P Q is

 

 

       ► True

 

       ► False

 

Question No: 6      ( Marks: 1 ) – Please choose one

 

 

A Ç B is a ———of A.

 

 

 

       ► super set

 

       ► subset

 

       ► complement set

 

Question No: 7      ( Marks: 1 ) – Please choose one

 

 

In ordered pairs order of elements matters.

 

 

       ► True

 

       ► Flase

 

Question No: 8      ( Marks: 1 ) – Please choose one

 

 

Let a₁,a₂,a₃,…,a_n be an arithmetic sequence, then sum of the sequence S_n =

 

       ► True

 

       ► False

 

Question No: 9      ( Marks: 1 ) – Please choose one

 

 

If p is a proposition then its negation is denoted by

 

 

       ► Ùp

 

 

 

       ► Úp

 

 

       ► ~p

 

 

       ► p¢

 

 

Question No: 10      ( Marks: 1 ) – Please choose one

 

 

Conjunction of two statements p and q is denoted by

 

       ► pÙq

 

       ► pÚq

 

 

       ► p~q

 

       ► p ® q

 

 

Question No: 11      ( Marks: 1 ) – Please choose one

 

 

Let A = {1, 2, 3}   and    B = {{1,2}, 3}

then A È B = {1, 2, 3}

 

       ► True

 

       ► False

 

Question No: 12      ( Marks: 1 ) – Please choose one

 

 

Percentage change =

 

 

       ► (Change / initial value) x 100                           

 

       ► (Change / final value) x 100

 

 

       ► (initial value / Change) x 100

 

 

       ► (final value / Change) x 100

 

 

Question No: 13      ( Marks: 1 ) – Please choose one

 

Initial value =	1200
Final value =	1500
increase=	300
% Change   =

 

 

       ► 30%

 

       ► 20%

 

       ► 100%

 

       ► 25%

 

Question No: 14      ( Marks: 1 ) – Please choose one

 

 

Initial value =	120
Final value =	200
Increase =	80
% Change   =

 

 

       ► 66.67%

 

       ► 40%

 

       ► 22.5%

 

       ► 30%

 

Question No: 15      ( Marks: 1 ) – Please choose one

 

 

 

 

The above relation shows _______________.

 

 

       ► not a function

 

       ► one to one function

 

       ► onto function

 

       ► many to one function

 

Question No: 16      ( Marks: 1 ) – Please choose one

 

The nth term of an A. P (Arithmetic Progression) is:

 

       ► a + (n – 1) d

 

       ► a – (n – 1) d

 

       ► a – (n – 1) d

 

       ► a + (n + 1) d

 

Question No: 17      ( Marks: 1 ) – Please choose one

 

 

The nth term of an G. P (Geometric Progression) is:

 

       ► ar^n-1

 

 

       ► arⁿ⁺¹

 

       ► ra^n-1

 

       ► raⁿ⁺¹

 

Question No: 18      ( Marks: 1 ) – Please choose one

 

 

From the truth table, for p q to be true, if both p and q must have the same truth values.

 

 

       ► True

 

       ► False

 

Question No: 19      ( Marks: 1 ) – Please choose one

 

 

Which of them is a statement?

 

 

       ► x+2 is positive

 

 

       ►      Logic is interesting

 

       ►  x+y=2

 

 

       ► May I come in?

 

 

Question No: 20      ( Marks: 1 ) – Please choose one

 

 

The final statement is called…….

 

       ► hypothesis

 

       ► assumption

 

       ► conclusion

 

       ► valid statement

 

Question No: 21      ( Marks: 2 )

 

 

A relation R on the set of Natural numbers N is defined as:

    For all   , aRb iff  is odd. Is R reflexive?

 

 

 

Question No: 22      ( Marks: 2 )

 

 

What percent of 36 is 5?

 

 

Question No: 23      ( Marks: 3 )

 

 

Let be defined by

                        f (x) =  2x – 3

Show that f is an onto function.

 

 

 

Question No: 24      ( Marks: 3 )

 

 

Name the quadrant in which these points is located.

 

1. (5,  2)
2. (-3, -1)
3. (-2, 3)
4. (6, 0)
5. (0, -2)
6. (4, -3)

 

 

 

Question No: 25      ( Marks: 5 )

 

 

Let A= {a, b, c} and R is a relation defined on A such that

R = {(a, b), (b, a), (a, a)}  http://vustudents.ning.com

Is R reflexive and symmetric? Justify your answer.

 

 

Question No: 26      ( Marks: 5 )

 

 

Find the sum of first five terms of following geometric series:

1 + 4 + 16 + ……………

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