In boolean algebra, the overbar stands for the NOT operation, the plus sign stands for the _____ operation.

Complete the equation. 2Res+OH– + 2– → __________ + 2OH– 2- b) (Res+)23- c) (Res+)22- d) (Res+)32-

A

2– → __________ + 2OH– ] (Res+)22-

B

Ni(CN)4

C

Ni(CN)4

D

Ni(CN)4

The Coordinator of an International Virtual Conference has planned six guest lectures on different areas-Cryptography, Fluid Dynamics, Big Data Analysis, Wavelet Theory, Differential Equations and Linear Algebra-to be organised only one on each day from Monday to Sunday. Wavelet Theory should be organised immediately after Differential Equations. Big Data Analysis should be organised on Wednesday and should not be followed by Linear Algebra. Fluid Dynamics should be organised on Friday and there should be a gap of two days between Cryptography and Linear Algebra. One day there will be no lecture (Saturday is not that day), and just before that day Linear Algebra will be organised. How many lectures are organised between Big Data Analysis and Wavelet Theory?

A

Two

B

One

C

Four

D

Three

Neha was solving a problem in which subtraction of 673–257 was required. She said, "257 plus 100 will be 357, 457, 557, 657. So, 257 plus 400 is 657". "Now 657 plus 10 is 667, 677, so, 657 plus 20 is 677 and 4 less in 677 is 673. "Therefore, 400 plus 20 minus 4 is 416". Hence 673–257 is 416. Which of the following statements is most appropriate for the strategy of Neha?

A

It shows Neha is able to use her conceptual understanding of addition and subtraction in developing her own personal algorithm.

B

Neha does not know formal algorithm of subtraction.

C

Neha is unnecessarily mixing the concept of addition in solving a problem on subtraction.

D

It is an informal strategy hence cannot used in written tests.

In boolean algebra, the times sign stands for the _____ operation

A

AND

B

OR

C

NAND

D

NOR

E

None of the above

interface Base{ boolean m1 (); byte m2(short s);}

which two code fragments will compile?

1. interface Base2 implements Base {}2. abstract class Class2 extends Base { public boolean m1(){ return true; }}3. abstract class Class2 implements Base {}4. abstract class Class2 implements Base { public boolean m1(){ return (7 > 4); }}5. abstract class Class2 implements Base { protected boolean m1(){ return (5 > 7) }}

A

1 and 2

B

2 and 3

C

3 and 4

D

1 and 3

E

4 and 5

"Algebraic thinking involves generalisation and symbolisation". Which of the following explains the meaning of the given statement? (a) Algebraic equations are solved by using mathematical symbols hence these symbols should be memorized (b) Algebra involves the process of creating generalizations from arithmetic (c) Algebra involves representing patterns and regularities in our world (d) Algebra is more abstract and symbolic hence cannot be taught through concrete experiences Choose the correct option.

A

(a) and (d)

B

(b) and (d)

C

(a) and (c)

D

(b) and (c)

The figure shows a shape ABC and its mirror image A₁B₁C₁ across the horizontal axis (X-axis). The coordinate transformation matrix that maps ABC to A₁B₁C₁ is
Linear Algebra mcq question image

A

\\

B

\\

Which of the following is valid for Boolean algebra but NOT for ordinary algebra?

A

X. (Y + Z) = (X.Y) + (X.Z)

B

X + (Y.Z) = (X + Y).(X + Z)

C

X + Y = Y + X

D

X.Y = Y.X

Which of the following problems is NOT NP-complete? I. Checking satisfiability of arbitrary Boolean formulae II. Checking satisfiability of Boolean formulae in conjunctive normal form (CNF/product of sums) III. Checking satisfiability of Boolean formulae in disjunctive normal form (DNF/sum of products)

A

II only

B

III only

C

None of the above

D

I only

If X stands for addition, V stands for substraction, U stands for 'equal to', ∧ stands for division, ∑ stands for multiplication, O stands for greater than and σ stands for less than. State which expression is true?

A

3 X 8 V 2 U 12 ∧ 3

B

13 V 12 X 9 V 2 O 5 ∑ 1

C

2 ∑ 3 ∑ 4 σ 51 ∧ 3

D

3 ∑ 2 ∑ 4 U 2 X 7 V 3

In boolean algebra, the overbar stands for the NOT operation, the plus sign stands for the _____ operation.

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