Basic Operations MCQ Quiz in मल्याळम - Objective Question with Answer for Basic Operations - സൗജന്യ PDF ഡൗൺലോഡ് ചെയ്യുക

Last updated on Mar 12, 2025

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

Latest Basic Operations MCQ Objective Questions

Top Basic Operations MCQ Objective Questions

Basic Operations Question 1:

The value of 97 × 103 is ______.

  1. 7999
  2. 9991
  3. 8991
  4. 9981

Answer (Detailed Solution Below)

Option 2 : 9991

Basic Operations Question 1 Detailed Solution

Given:

97 × 103 =?

Calculations:

According to the question,

⇒ 97 × 103 = 9991

∴ The value of 97 × 103 is 9991.

Alternate Method(a - b)(a + b) = (a2 - b2)

97 × 103 = (100 - 3)(100 + 3) = 1002 - 32 = 10000 - 9 = 9991

Basic Operations Question 2:

Simplify the expression \(\frac{1^2-m^2}{(1+m)^2} \), provided (1 + m) ≠ 0.

  1. \(\frac{1+m}{1-m} \)
  2. \( \frac{1-m}{1+m}\)
  3. 0
  4. 1

Answer (Detailed Solution Below)

Option 2 : \( \frac{1-m}{1+m}\)

Basic Operations Question 2 Detailed Solution

Calculation:

\(\frac{1^2-m^2}{(1+m)^2} \)

⇒ (1+m)(1-m) / (1+m)2 

⇒ \( \frac{1-m}{1+m}\)

∴ The correct option is 2

Basic Operations Question 3:

Select the correct algebraic expression. 

  1. ab – a – b + 1 = (a – 1) (b – 1) 
  2. ab + a – b + 1 = (1 – a) (1 – b) (1 – a) (1 + b) 
  3. ab – a – b + 1 = (1 – a) (b – 1) 
  4. ab – a – b + 1 = (a – 1) (1 – b) 

Answer (Detailed Solution Below)

Option 1 : ab – a – b + 1 = (a – 1) (b – 1) 

Basic Operations Question 3 Detailed Solution

Calculation:

Option 1: 

RHS

(a – 1) (b – 1)

⇒ ab - a - b + 1 = LHS

Option 2:

RHS

(1 – a) (1 – b) (1 – a) (1 + b) 

⇒ (1 - b - a + ab) (1 – a) (1 + b)

⇒  (1 - a - b + ab - a + a2 + ab - a2b) (1 + b)

⇒  (1 + b - a - ab - b - b2 + ab + ab2 - a - ab + a2 + a2b + ab + ab2 - a2b - a2b2) ≠ LHS

Option 3:

RHS

(1 – a) (b – 1)

⇒ b - 1 - ab + a ≠ LHS

Option 3:

RHS

(a – 1) (1 – b)

⇒ a - ab - 1 + b ≠ LHS

∴ The required answer is Option 1.

Basic Operations Question 4:

The value of x2 + y2 when x = 1, y = 2 is:

  1. 5
  2. 4
  3. 2
  4. 1

Answer (Detailed Solution Below)

Option 1 : 5

Basic Operations Question 4 Detailed Solution

Calculation

⇒ x2 + y2

⇒ 12 + 22

⇒ 1 + 4 = 5

The value is 5.

Basic Operations Question 5:

\(\text{Let } t = \frac{2}{5}, \text{ then the value of the expression } t^3 + \left( \frac{3}{5} \right)^3 + \frac{9}{5} t \text{ is:} \)

  1. \(\frac{1}{5}\)
  2. 1
  3. 2
  4. \(\frac{1}{2}\)

Answer (Detailed Solution Below)

Option 2 : 1

Basic Operations Question 5 Detailed Solution

Given:

Let t = 2/5, then the value of the expression t3 + (3/5)3 + (9/5)t is:

Formula Used:

We need to evaluate the expression step by step:

Calculation:

First, calculate t3:

t = 2/5, so t3 = (2/5)3 = 8/125

Next, calculate (3/5)3:

(3/5)3 = 27/125

Now, calculate (9/5)t:

(9/5)t = (9/5) × (2/5) = 18/25

Now, substitute these values into the expression:

t3 + (3/5)3 + (9/5)t = 8/125 + 27/125 + 18/25

Convert 18/25 to have a denominator of 125:

18/25 = (18 × 5) / (25 × 5) = 90/125

So, the expression becomes:

8/125 + 27/125 + 90/125 = (8 + 27 + 90) / 125 = 125/125 = 1

The value of the expression is 1.

Get Free Access Now
Hot Links: teen patti game online all teen patti master teen patti chart