Tag: maths

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Questions Related to maths

Multiple choice maths mathematical reasoning special words/phrases duality mathematical logic

The conditional $( p \wedge q ) \Rightarrow p$ is 

  1. neither tautology nor contradiction

  2. a tautology

  3. a contradiction

  4. both tautology and contradiction
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The expression (p and q) implies p is a tautology because if (p and q) is true, then p must be true by definition of the conjunction operator.

Multiple choice maths mathematical reasoning special words/phrases duality mathematical logic

Boolean algebra is also called

  1. switching algebra

  2. arithmetic algebra

  3. linear algebra

  4. algebra
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Boolean algebra is also called switching algebra..


It was invented by mathematician George Boole in 1849.Boolean algebra or 

switching algebra ia a system of mathematical logic to perform different 

mathematical operation in binary system.

Multiple choice maths mathematical reasoning special words/phrases duality mathematical logic

To perform product of maxterms Boolean function must be brought into

  1. and terms

  2. or terms

  3. not terms

  4. nand terms
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

For performing Product of Maxterms, it has to be brought into POS, i.e; Product of Sum form. For this, the Boolean Function must be brought into OR terms.

Multiple choice maths mathematical reasoning special words/phrases duality mathematical logic

Minterms are also called

  1. standard sum

  2. standard product

  3. standard division

  4. standard subtraction
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A product is called a minterm because it has minimum-satisfiability where as a sum is called a maxterm because it has maximum-satisfiability among all practically interesting boolean functions.

Multiple choice maths equations and simple functions further equations solving linear equations with variable on both sides solution of linear equations in one variable

The ratio of the present age of Manoj to that of Wasim is $3:11$. Wasim is $12\ yr$ younger than Rehana. Rehanas age after $7\ yr$ will be $85\ yr$. What is thepresent age of Manojs father, who is $25\ yr$ older than Manoj?

  1. $43\ yr$
  2. $67\ yr$
  3. $45\ yr$
  4. $69\ yr$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

 the present age of Wasim $=11x$

 present age of Manoj $=3x$

 present age of Rehana $=11x+12$
 present age of Manoj's father $=3x+25$

 after $7$ years, Rehana's age is $85$ years. 
 $11x+12+7=85$
 $ 11x=66$
 $x=6$
 
age of Manoj's father $=3 \times  6 + 25 = 43$ years. 

Multiple choice maths equations and simple functions further equations solving linear equations with variable on both sides solution of linear equations in one variable

The sum of three consecutive odd numbers is $38$ more than the average of these numbers. What is the first number

  1. $13$
  2. $17$
  3. $19$

  4. Data inadequate

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation
let $'a'$ be the first odd number

As per Question

$ a+a+2+a+4 = 38 +\dfrac{a+a+2+a+4}{3}$

$ \Rightarrow 3a+6 = 38+a+2 $

$ \Rightarrow 2a = 34$

$ \Rightarrow a = 17 $