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**Solve the following questions:**

**Question 1:**** 46 Ã— 44?**

A. 2026

B. 2084

C. 2042

D. 2024

**Answer: **Option D

To calculate 46 Ã— 44,

Multiply the unitâ€™s digits = 6 Ã— 4 = 24

Then multiply 4, which is the tenthâ€™s digit with 5 i.e. (1 + 4) = 20

Therefore, the answer is 2024.

**Question 2:**** Find the square of 89**

A. 8021

B. 7821

C. 8121

D. 7921

**Answer:** Option D

(89)2 = 82|2 Ã— 8 Ã— 9|92 = 81| (carry 14)4| (carry 8)1 = 7921

**Question 3: ****Find the square of 107**

A. 11449

B. 11249

C. 11439

D. 11349

**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

**Question 4: ****43 Ã— 34**

A. 1562

B. 1262

C. 1462

D. 1264

**Answer:** Option C

43 Ã— 34 = 4 Ã— 3|4 Ã— 4 + 3 Ã— 3|3 Ã— 4

= 12| (carry 2)5| (carry 1) 2 = 1462

**Question 5: ****37 Ã— 73**

A. 2901

B. 2801

C. 2701

D. 2781

**Answer: **Option C

37 Ã— 73 = 3 Ã— 7|3 Ã— 3 + 7 Ã— 7|7 Ã— 3

= 21| (carry 5)8| (Carry 2)1 = 2701

**Question 6: ****82 Ã— 71**

A. 5922

B. 5022

C. 5822

D. 1422

**Answer: **Option C

82 x 71 is calculated as:

**Step 1:** 2 Ã— 1 = 2 (Write 2 as last digit)

**Step 2:** 1 Ã— 8 + 2 Ã— 7 = 22 (Write 2 and 2 is carried over to the next step)

**Step 3:** 8 Ã— 7= 56. Therefore, 5822 is the correct answer.

**Question 7: ****976 Ã— 653**

A. 637328

B. 647358

C. 876458

D. 983458

**Answer:** Option A

976 Ã— 653 is calculated as:

**Step 1:** 6 Ã— 3 = 18 (Write 8 as the last digit and 1 is carried over to the next step)

**Step 2:** 7 Ã— 3 + 6 Ã— 5 + 1(Carried Over) = 52 (Write 2 and 5 is carried over to the next step)

**Step 3:** 9 Ã— 3 + 6 Ã— 6 + 7 Ã— 5 + 5 (Carried Over) = 98 (Write 8 and 9 is carried over to the next step)

**Step 4: **9 Ã— 5 + 7 Ã— 6 + 9(Carried Over) = 96 (Write 6 and 9 is carried over to the next step)

**Step 5:** 9 Ã— 6 + 9 (Carried Over) = 63 (Write 39). Therefore, 637328 is the answer.

**Question 8: ****107 Ã— 93**

A. 8971

B. 9951

C. 9451

D. 7581

**Answer:** Option B

107 x 93 is calculated as:

**Step 1:** 107 -100 = 7, 93-100= -7

**Step 2: **7 Ã— -7 = -49, 100 -49 =51(last two digits)

**Step 3:** 107-7= 93+7 = 100 -1 (borrowed) =99

Therefore, the answer is 9951

**Question 9: ****109 Ã— 96**

A. 10264

B. 10464

C. 10864

D. 10364

**Answer:** Option B

109 X 96 is calculated as:

**Step 1: **109 -100 = 9, 96-100= -4

**Step 2:** 9 Ã— -4 = -36, 100 -36 =64(last two digits)

**Step 3: **109-4= 96+9 = 105 -1 (borrowed) =104

Therefore, the answer is 10464

**Question 10: ****Find the square of 97**

A. 8109

B. 9809

C. 9409

D. 9209

**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 â€˜number given â€“ differenceâ€™ i.e. 97 â€“ 3 = 94. So, the square of 97 is 9409.

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