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**Question 1:**** 46 × 44?****A.** 2026**B.** 2084**C.** 2042**D.** 2024

Correct Answer is 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.

**Question 2:**** Find the square of 89****A.** 8021**B.** 7821**C.** 8121**D.** 7921

Correct Answer is Option (D).

- (89)
^{2}= 8^{2}|2 × 8 × 9|9^{2}= 81| (carry 14)4| (carry 8)1 = 7921

**Question 3: ****Find the square of 107****A.** 11449**B.** 11249**C.** 11439**D.** 11349

Correct Answer is Option (A).

- 107 is 7 more than the base 100, 7
^{2}is 49. Then the left side is 107 + 7 = 114. Thus, the square becomes 11449

**Question 4: ****43 × 34****A.** 1562**B.** 1262**C.** 1462**D.** 1264

Correct Answer is Option (C).

- 43 × 34 = 4 × 3|4 × 4 + 3 × 3|3 × 4

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

**Question 5: ****37 × 73****A.** 2901**B.** 2801**C.** 2701**D.** 2781

Correct Answer is Option (C).

- 37 × 73 = 3 × 7|3 × 3 + 7 × 7|7 × 3

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

**Question 6: ****82 × 71****A.** 5922**B.** 5022**C.** 5822**D.** 1422

Correct Answer is 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.

**Question 7: ****976 × 653****A.** 637328**B.** 647358**C.** 876458**D.** 983458

Correct Answer is 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.

**Question 8: ****107 × 93****A.** 8971**B.** 9951**C.** 9451**D.** 7581

Correct Answer is Option (B).

107 x 93 is calculated as:

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

**Question 9: ****109 × 96****A.** 10264**B.** 10464**C.** 10864**D.** 10364

Correct Answer is Option (B).

109 X 96 is calculated as:

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

**Question 10: ****Find the square of 97****A.** 8109**B.** 9809**C.** 9409**D.** 9209

Correct Answer is 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.

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