Answer : Option D
To calculate 46 × 44,
Multiply the unit’s digits = 6 × 4 = 24
Then multiply 4, which is the tenth’s digit with 5 i.e. (1 + 4)
= 20
Therefore, the answer is 2024.

Answer : Option D
89 is 11 less than the base 100. While squaring 11, the right side will be (11)² i.e 21. And carry over will be 1. The left side would be “number given – difference + 1(carry over)” i.e 89 – 11 + 1 = 79. So, the square of 89 is 7921.

Answer : Option A
107 is 7 more than the base 100, 72 is 49. Then the left side is 107 + 7 = 114. Thus, the square becomes 11449

Answer : Option C
43 × 34 = 4 × 3|4 × 4 + 3 × 3|3 × 4
= 12| (carry 2)5| (carry 1) 2 = 1462

Answer : Option C
37 × 73 = 3 × 7|3 × 3 + 7 × 7|7 × 3
= 21| (carry 5)8| (Carry 2)1 = 2701

Answer : Option C
82 x 71 is calculated as:
Step 1: 2 × 1 = 2 (Write 2 as last digit)
Step 2: 1 × 8 + 2 × 7 = 22 (Write 2 and 2 is carried over to the next step)
Step 3: 8 × 7= 56. Therefore, 5822 is the correct answer.

Answer : Option A
976 × 653 is calculated as:
Step 1: 6 × 3 = 18 (Write 8 as the last digit and 1 is carried over to the next step)
Step 2: 7 × 3 + 6 × 5 + 1(Carried Over) = 52 (Write 2 and 5 is carried over to the next step)
Step 3: 9 × 3 + 6 × 6 + 7 × 5 + 5 (Carried Over) = 98 (Write 8 and 9 is carried over to the next step)
Step 4: 9 × 5 + 7 × 6 + 9(Carried Over) = 96 (Write 6 and 9 is carried over to the next step)
Step 5: 9 × 6 + 9 (Carried Over) = 63 (Write 39). Therefore, 637328 is the answer.

Answer : Option B
107 x 93 is calculated as:
Step 1: 107 -100 = 7, 93-100= -7
Step 2: 7 × -7 = -49, 100 -49 =51(last two digits)
Step 3: 107-7= 93+7 = 100 -1 (borrowed) =99
Therefore, the answer is 9951

Answer : Option B
109 X 96 is calculated as:
Step 1: 109 -100 = 9, 96-100= -4
Step 2: 9 × -4 = -36, 100 -36 =64(last two digits)
Step 3: 109-4= 96+9 = 105 -1 (borrowed) =104
Therefore, the answer is 10464

Answer : Option C
97 is 3 less than the base 100. While squaring 97, the right side will be (3)² i.e. 09. And the left side would be the ‘number given – difference’ i.e. 97 – 3 = 94. So, the square of 97 is 9409.