Mathematical Reasoning MCQ Quiz in मल्याळम - Objective Question with Answer for Mathematical Reasoning - സൗജന്യ PDF ഡൗൺലോഡ് ചെയ്യുക

Last updated on Apr 9, 2025

നേടുക Mathematical Reasoning ഉത്തരങ്ങളും വിശദമായ പരിഹാരങ്ങളുമുള്ള മൾട്ടിപ്പിൾ ചോയ്സ് ചോദ്യങ്ങൾ (MCQ ക്വിസ്). ഇവ സൗജന്യമായി ഡൗൺലോഡ് ചെയ്യുക Mathematical Reasoning MCQ ക്വിസ് പിഡിഎഫ്, ബാങ്കിംഗ്, എസ്എസ്‌സി, റെയിൽവേ, യുപിഎസ്‌സി, സ്റ്റേറ്റ് പിഎസ്‌സി തുടങ്ങിയ നിങ്ങളുടെ വരാനിരിക്കുന്ന പരീക്ഷകൾക്കായി തയ്യാറെടുക്കുക

Latest Mathematical Reasoning MCQ Objective Questions

Top Mathematical Reasoning MCQ Objective Questions

Mathematical Reasoning Question 1:

Which of the following is the inverse of the proposition: "If a number is a prime then it is odd."

  1. If a number is not a prime then it is odd
  2. If a number is not a prime then it is not odd
  3. If a number is not odd then it is not a prime
  4. If a number is not odd then it is a prime

Answer (Detailed Solution Below)

Option 2 : If a number is not a prime then it is not odd

Mathematical Reasoning Question 1 Detailed Solution

Explanation:

p: A number is a prime. q: It is odd. We have, p ⇒ q

The inverse of p   q is ∼ p ⇒ ∼ q

i.e., If a number is not a prime then it is not odd.

Mathematical Reasoning Question 2:

DIRECTIONS: The pie chart, given here, represents the number of valid votes obtained by four students who confested election for school leadership. The total number of valid votes polled was 720. Observe the chart and answer the question based on it.

F1 Madhuri Defence 27.12.2022 D34

By how many votes did the winner defeat his nearest rival?

  1. 35
  2. 45
  3. 40
  4. 50

Answer (Detailed Solution Below)

Option 3 : 40

Mathematical Reasoning Question 2 Detailed Solution

Total number of valid votes polled = 720

360º = 720

1º = 720/360 = 2

               1º = 2

Valid votes obtained by Tejas = 80º = 80 × 2 = 160

Valid votes obtained by Shivam = 120º = 120 × 2 = 240

Valid votes obtained by Pratham = 100º = 100 × 2 = 200

Valid votes obtained by Harsheet =80º = 8× 2 = 160

from the above data it is clear Shivam won the election and Pratham is his nearest rival.

The difference of vote between Shivam and Pratham = 240 - 200 = 40 votes

Hence, the correct answer is "option(3)".

Mathematical Reasoning Question 3:

The price of item A increases by 50 paise every year while the price of item B increases by 25 paise every year. If in 2008, the price of item A was Rs. 3.20 and that of B was Rs. 5.30, in which year item A will cost 40 paise more than the item B?

  1. 2016
  2. 2017
  3. 2018
  4. 2019

Answer (Detailed Solution Below)

Option 3 : 2018

Mathematical Reasoning Question 3 Detailed Solution

Given

In 2008 A = Rs. 3.2, B = Rs. 5.3

each year A is increased by Rs. 0.5 and B is increased by Rs. 0.25

Calculation

let after n year A will be Rs. 0.4 more than B

=> A + n(0.5) = B + n(0.25) + 0.4

=> 3.2 + 0.5n = 5.3 + 0.25n + 0.4

=> 0.5n - 0.25n = 5.7 - 3.2

=> 0.25n = 2.5

=> n = 2.5/0.25 = 10 years

so after 10 years from 2008 the year will be 2018

Mathematical Reasoning Question 4:

The negation of the compound proposition p ∨ (~ p ∨ q) is

  1. p ∧ q 
  2. tautology
  3. fallacy 
  4. (p ∧ q) ∨ ~ p

Answer (Detailed Solution Below)

Option 3 : fallacy 

Mathematical Reasoning Question 4 Detailed Solution

~ [p ∨ (~p ∨ q)] = ~ p ∧ ~ (~p ∨ q) = ~ p ∧ (p ∧ ~ q) = (~p ∧ p) ∧ (~q) = f ∧ (~q) = f

Mathematical Reasoning Question 5:

Negation of the statement p → (q ∧ r) is

  1. ~ p → ~ (q ∧ r)
  2. ~ p ∨ (q ∧ r)
  3. (q ∧ r) → p
  4. p ∧ (~ q ∨ ~ r)

Answer (Detailed Solution Below)

Option 4 : p ∧ (~ q ∨ ~ r)

Mathematical Reasoning Question 5 Detailed Solution

p ∧ (~ (q ∧ r))

= p ∧ (~ q ∨ ~ r)

Mathematical Reasoning Question 6:

p ⇒ q is false, if

  1. p is true and q is true.
  2. p is true and q is false
  3. p is false and q is true
  4. More than one of the above
  5. None of the above

Answer (Detailed Solution Below)

Option 2 : p is true and q is false

Mathematical Reasoning Question 6 Detailed Solution

Explanation:

p ⇒ q means i"if p then q"

p ⇒ q is false only when p is true and q is false.

(2) is correct

Mathematical Reasoning Question 7:

Find the principal if the compound interest is charged on the principal at the rate of \(16\frac{2}{3}\%\) per annum for two years and the sum becomes Rs. 196. 

  1. Rs. 140
  2. Rs. 144
  3. Rs. 150
  4. Rs. 300

Answer (Detailed Solution Below)

Option 2 : Rs. 144

Mathematical Reasoning Question 7 Detailed Solution

Given:

The principal if the compound interest is charged on the principal at the rate of \(16\frac{2}{3}\%\) per annum for two years.

Formula Used:

A = P x (1 + r/100)n,

where A is the final amount,

P is the principal amount,

r is the interest rate,

and n is the number of compounding periods.

Calculation:

In this case, n = 2 and

r =  \(16\frac{2}{3}\%\) .

So, 
196 = P * (1 + \(16\frac{2}{3}\) /100)2

⇒ P = 196 / (1 +   \(16\frac{2}{3}\) /100)2

⇒ P = 196 / (1 + 0.166)2

⇒ P = 196 / 1.34996

⇒ P ≈ 144

So, the principal amount is approximately Rs. 144.

Mathematical Reasoning Question 8:

What is negation of the compound proposition? If the examination is difficult, then I shall pass if I study hard.

  1. The examination is difficult and I study hard but I shall not pass
  2. The examination is difficult and I study hard and I shall pass
  3. The examination is not difficult and I study hard and I shall pass
  4. None of these

Answer (Detailed Solution Below)

Option 1 : The examination is difficult and I study hard but I shall not pass

Mathematical Reasoning Question 8 Detailed Solution

Concept:

Let p and q are any two statements.

 \(\rm \sim (p \rightarrow q) = p \wedge q\)

 

Calculations:

Let p: The examination is difficult.

q: I shall pass.

r: I study hard.

Symbolic form of "If the examination is difficult, then I shall pass if I study hard." is \(\rm p \rightarrow (r \rightarrow q)\)

Symbolic form of Negation of "If the examination is difficult, then I shall pass if I study hard." = \(\rm \sim (\rm p \rightarrow (r \rightarrow q))\)

we know, 

⇒ \(\rm \sim (\rm p \rightarrow (r \rightarrow q))\) = \(\rm p \wedge (r \wedge \sim q)\)

Hence, the examination is difficult and I study hard but I shall not pass.

Mathematical Reasoning Question 9:

De-Morgan'w theorem is

  1. \(\rm \overline{\bar{A}+\bar{B}}=\bar{A}\cdot \bar{B}\)
  2. \(\rm \overline{A\cdot B}=\bar{A}+\bar{B}\)
  3. \(\rm \bar{A}-\bar{B}=\bar{A}\cdot \bar{B}\)
  4. \(\rm \bar{B}\cdot \bar{A}=\bar{A}+\bar{B}\)

Answer (Detailed Solution Below)

Option 2 : \(\rm \overline{A\cdot B}=\bar{A}+\bar{B}\)

Mathematical Reasoning Question 9 Detailed Solution

Explanation:

DeMorgan’s Theorem is mainly used to solve the various Boolean algebra expressions. When two (or more) input variables are AND’ed and negated, they are equivalent to the OR of the complements of the individual variables.

 

Inputs

Truth Table Outputs For Each Term

A

B

A.B

A̅B̅

A̅ + B̅

 

0

0

0

1

1

1

1

 

0

1

0

1

0

1

1

 

1

0

0

1

1

0

1

 

1

1

1

0

0

0

0

 

 

So, A̅B̅ = A̅ + B̅

Hence, option (2) is correct.

Mathematical Reasoning Question 10:

The statement p ∨ q has the truth value F (False)

  1. Whenever both p and q have the truth value T
  2. Whenever either p have the truth value T
  3. Whenever either q have the truth value T
  4. Both have the truth value F

Answer (Detailed Solution Below)

Option 4 : Both have the truth value F

Mathematical Reasoning Question 10 Detailed Solution

Concept:

  • Disjunction: If two simple statements p and q are connected by the word ‘or’, then the resulting compound statement “p or q” is called disjunction of p and q and is written in symbolic form as “p ∨ q”.
  • The statement p ∨ q has the truth value F whenever both p and q have the truth value F.
  • The statement p ∨ q has the truth value T whenever either p or q or both have the truth value T.

 

p

q

p ∨ q

T

T

T

T

F

T

F

T

T

F

F

F

 

∴ Option 4 is correct.
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