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

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

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

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.

Calculation

⇒ x2 + y2

⇒ 1² + 2²

⇒ 1 + 4 = 5

The value is 5.

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.