Explanation

To convert the octal number (143)₈ to decimal:

Multiply each digit by the corresponding power of 8:

(1 × 8²) + (4 × 8¹) + (3 × 8⁰)

= (1 × 64) + (4 × 8) + (3 × 1)

= 64 + 32 + 3

= 99

Explanation

Conversion of binary (101011) to decimal:

Write the binary digits with powers of 2:

1×2⁵ + 0×2⁴ + 1×2³ + 0×2² + 1×2¹ + 1×2⁰

= 32 + 0 + 8 + 0 + 2 + 1

= 43

So, binary (101011) = decimal 43.

Explanation

We are given:

(125)^(4/3)

Step 1: Rewrite 125 as a power of 5:
125 = 5³

So:
(125)^(4/3) = (5³)^(4/3)

Step 2: Apply exponent rule:
(5³)^(4/3) = 5^(3 × 4/3) = 5⁴ = 625

Explanation

We can add two matrices having real numbers A and B if their order is the same

ہم دو میٹرکس کو جوڑ سکتے ہیں جن کے اصلی نمبر A اور B ہیں اگر ان کی ترتیب ایک جیسی ہو۔

Explanation

DMAS stands for

• D-Division
• M-Multiplication
• A-Addition
• S-Subtraction

.................

• DMAS rule State that Division before Multiplication, multiplication  before addition and addition before subtraction.
• ................
• Now Using this rule we conclude that in the following Question multiplication will be done first.

5 × 3 - 4 × 2 + 2 + 1

15 - 8 + 3

18- 8

10 Answer

SH5-9-2023

Explanation

Digit 7 appears in both units and tens places.

Total count = 9 (units) + 9 (tens) + 1 (double 7 in 77)

= 19 + 1

= 20 times.

Explanation

5/5 = 1

1 × 5/10 = 1/2

1/2 × 5/15 = 1/6

1/6 × 5/20 = 1/24

1/24 × 5/25 = 1/120

Explanation

To find the decimal value of the fraction  1 /62.5

Step 1: Convert the fraction to a decimal.

1/ 62.5 = 0.016

Explanation

All numbers except 730 are multiples of 200 plus 140.

The pattern is 140, 340, 540, 740, 940, and so on

However, 730 does not fit this pattern.

Explanation

Number of heads = 48

Number of feet = 140

Calculation:

Let the number of hens is x and the number of cows is y. Therefore,

x + y = 48           ----(1)

According to the question,

2x + 4y = 140

⇒ x + 2y = 70     ----(2)

Subtracting (1) from (2), we get

y = 22

Put this value in equation (1)

⇒ x = 48 - 22 = 26

No.of hens =26
No. of cows =22.