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# Remainder Theorem Question and Answer Set 1

Hi students, welcome to **Amans Maths Blogs (AMB)**. On this post, you will get the Remainder Theorem Question and Answer Set 1 is the questions with solution for SSC CGL CHSL CAT and other competative exams like NTSE NSEJS NMTC etc. It will help you to practice the questions on the topics of maths as Remainder Theorem.

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**Remainder Theorem Question and Answer Set 1: Ques No 1**

Find the remainder when 84 + 98+ 197 + 240 + 140 is divided by 32

**Options:**

A. 19

B. 24

C. 23

D. 13

**Remainder Theorem Question and Answer Set 1: Ques No 2**

Find the reminder when 1! + 2! + 3! + . . . . .. . .. 99! + 100! is divided by 7!.

**Options:**

A. 873

B. 824

C. 723

D. 613

**Remainder Theorem Question and Answer Set 1: Ques No 3**

Find the reminder when 1! + 2! + 3! + . . . . .. . .. 99! + 100! is divided by 7!.

**Options:**

A. 873

B. 824

C. 723

D. 613

**Remainder Theorem Question and Answer Set 1: Ques No 4**

What is the remainder when 13^{18} is divided by 19?

**Options:**

A. 13

B. 14

C. 3

D. 1

**Remainder Theorem Questions and Answer Set 1: Ques No 5**

What is the remainder when 123 × 124 × 125 is divided by 9.

**Options:**

A. 1

B. 3

C. 5

D. 7

**Remainder Theorem Questions and Answer Set 1: Ques No 6**

What is the remainder of 19^{2200002 }divided by 23?

**Options:**

A. 16

B. 13

C. 15

D. 17

**Remainder Theorem Questions and Answer Set 1: Ques No 7**

What is the remainder of (321)^{5687}^{ }divided by 8?

**Options:**

A. 2

B. 1

C. 5

D. 7

**Remainder Theorem Questions and Answer Set 1: Ques No 8**

What is the remainder of 1421 x 1423 x 1425^{ }divided by 12?

**Options:**

A. 2

B. 5

C. 3

D. 8

**Remainder Theorem Questions and Answer Set 1: Ques No 9**

What is the remainder of (146)^{56}^{ }divided by 7?

**Options:**

A. 4

B. 3

C. 5

D. 1

**Remainder Theorem Questions and Answer Set 1: Ques No 10**

What is the remainder when 1! + 2! + 3! + … + 99! + 100!^{ }divided by 1x2x3x4x5x6x7?

**Options:**

A. 837

B. 873

C. 623

D. 725

**Remainder Theorem Questions and Answer Set 1: Ques No 11**

What is the remainder when (269)^{57587}^{ }divided by 6?

**Options:**

A. 5

B. 8

C. 6

D. 7

**Remainder Theorem Questions and Answer Set 1: Ques No 12**

What is the remainder when (64)^{999}^{ }divided by 7?

**Options:**

A. 3

B. 5

C. 1

D. 7

**Remainder Theorem Questions and Answer Set 1: Ques No 13**

What is the remainder when 73 x 75 x 78 x 57 x 194657^{ }divided by 25?

**Options:**

A. 13

B. 0

C. 14

D. 23

**Remainder Theorem Questions and Answer Set 1: Ques No 14**

What is the remainder when 444^{444}^{ ^ 444}^{ }divided by 7?

**Options:**

A. 1

B. 0

C. 4

D. 3

**Remainder Theorem Questions and Answer Set 1: Ques No 15**

What is the remainder when 1753 X 1749 X 83 X 171^{ }divided by 17?

**Options:**

A. 10

B. 12

C. 8

D. 6

**Remainder Theorem Questions and Answer Set 1: Ques No 16**

What is the remainder when 2^{11 }divided by 3?

**Options:**

A. 1

B. 2

C. 0

D. -1

**Remainder Theorem Questions and Answer Set 1: Ques No 17**

What is the remainder when 3^{85 }divided by 6?

**Options:**

A. 3

B. 0

C. 4

D. 5

**Remainder Theorem Questions and Answer Set 1: Ques No 18**

What is the remainder when 100^{99 }divided by 11?

**Options:**

A. 3

B. 0

C. 1

D. 2

**Remainder Theorem Questions and Answer Set 1: Ques No 19**

What is the remainder when 2^{70 }divided by 96?

**Options:**

A. 62

B. 63

C. 64

D. 65

**Remainder Theorem Questions and Answer Set 1: Ques No 20**

What is the remainder when 21^{875 }divided by 17?

**Options:**

A. 15

B. 16

C. 12

D. 13

# Remainder Theorem Question and Answer Set 1: Solutions

**Answer 1: C**

**Answer 2: A**

**Answer 3: A**

**Answer 4: D**

**Answer 5: B**

**Answer 6: A**

**Answer 7: B**

**Answer 8: C**

**Answer 9: D**

**Answer 10: B**

**Answer 11: A**

**Answer 12: C**

**Answer 13: B**

**Answer 14: A**

**Answer 15: C**

**Answer 16: B**

**Answer 17: A**

**Answer 18: C**

**Answer 19: C**

**Answer 20: D**