Explanation

 Zero doesn't have a multiplicative inverse as the multiplicative inverse is reciprocal for a number “a”,

denoted by 1/a, is a number which when multiplied by “a” yields the multiplicative identity 1.

The product of any real number with zero is zero

ND5-07-2023

Explanation

The all possible subsets of set A = {0 , 1 , 2} are Φ , {0} , {1} , {2} , {0, 1} , {0, 2} , {1, 2} , {1, 2, 3} 

ND5-07-2023

Explanation

 in mathematics, the positional numeral system employs 10 as the base and requires 10 different numerals,

the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

ND5-07-2023

Explanation

The octal numeral system is the base-8 number system and uses the digits 0 to 7.

That means there are only 8 symbols or digits (0, 1, 2, 3, 4, 5, 6, 7) used to form other numbers.

ND5-07-2023

Explanation

The sum of the ages (in years) of both people is equal to the perfect square of 8.

So, a perfect square of 8 = 64.

Therefore, the sum of ages (in years) of both people = 64 years.

Now,

Let, the age of Irfan's be x.

Then, the age his father's be 3x.

According to the question :

➮ x + 3x = 64

➮ 4x = 64

➮ x = 64/4

➮ x = 16.

ND5-07-2023

Explanation

Let the three numbers be x,y,z

(x+y)/2=2

(y+z)/2=3

(x+z)/2=4

from all equations,

x+y=4

y+z=6

x+z = 8

Add all equations

2(x+y+z) = 18

x+y+z = 9

Avg of 3 nos = (x+y+z)/3

= 9/3

= 3

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Explanation

Profit = 8 %

Sp of car = Rs 60000

Cp = sp/1 + .profit percentage

Cp = 60000/1+ 8

Cp= 50000/9 = Rs 5555.56

Now he wants to sell at Rs  55, 000

New sp = Rs 55, 000

Profit sp-cp = 55, 000 - 5555.56 = Rs 49444.43

Profit % = profitx100/cp

Profit % = 49444.45×100/5555.56 = 889.0%

New profit % =8.1 %

ND5-07-2023

Explanation

The price of one egg is Rs. 5 and in a tray about 30 eggs can be placed.

 the price of 7 trays of eggs will be 1050 RS

30 eggs 30*7=210 eggs 210*5=1050 eggs

ND5-07-2023

Explanation

ND5-07-2023

Explanation