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Here are 20 multiple-choice questions (MCQs) with answers, based on the AP DDSC Secondary Grade Teacher (SGT) 2025 syllabus for Mathematics Content (Class III to VIII – Difficulty up to Class X) under the topic "Numbers":

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1. Which of the following is the place value of 7 in 3,72,415 (Indian system)?

A) 7
B) 70,000
C) 700
D) 7,000
✔️ Answer: D) 7,000

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2. What is the face value of 6 in 6,58,432?

A) 600000
B) 60000
C) 6
D) 60
✔️ Answer: C) 6

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3. Which number is both a factor and a multiple of 12?

A) 3
B) 6
C) 12
D) 24
✔️ Answer: C) 12

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4. Which of the following is a prime number?

A) 21
B) 51
C) 37
D) 33
✔️ Answer: C) 37

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5. Which number is divisible by both 3 and 9?

A) 153
B) 124
C) 205
D) 97
✔️ Answer: A) 153

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6. What is the HCF of 36 and 60?

A) 6
B) 12
C) 18
D) 24
✔️ Answer: B) 12

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7. What is the LCM of 4 and 6?

A) 12
B) 10
C) 8
D) 24
✔️ Answer: A) 12

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8. Which number is even and composite?

A) 1
B) 2
C) 4
D) 3
✔️ Answer: C) 4

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9. Which of the following is not a rational number?

A) 0
B) 7
C) 3/4
D) √2
✔️ Answer: D) √2

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10. What is the reciprocal of 5/6?

A) 6/5
B) 1/5
C) 5
D) 1/6
✔️ Answer: A) 6/5

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11. Which number is a perfect square?

A) 45
B) 81
C) 72
D) 50
✔️ Answer: B) 81

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12. What is the square root of 121?

A) 12
B) 11
C) 10
D) 13
✔️ Answer: B) 11

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13. What is the cube of 4?

A) 16
B) 64
C) 32
D) 8
✔️ Answer: B) 64

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14. Which of the following is a terminating decimal?

A) 1/3
B) 2/5
C) 1/6
D) 2/7
✔️ Answer: B) 2/5

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15. Which operation is used to find how many times one number is contained in another?

A) Addition
B) Multiplication
C) Subtraction
D) Division
✔️ Answer: D) Division

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16. Which of the following numbers is a composite number?

A) 2
B) 13
C) 15
D) 7
✔️ Answer: C) 15

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17. How many prime numbers are there between 1 and 20?

A) 6
B) 7
C) 8
D) 9
✔️ Answer: C) 8
(Prime numbers: 2, 3, 5, 7, 11, 13, 17, 19)

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18. Which number is divisible by 5 and ends in zero?

A) 305
B) 450
C) 107
D) 123
✔️ Answer: B) 450

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19. Which of the following represents an improper fraction?

A) 3/4
B) 5/2
C) 7/8
D) 1/5
✔️ Answer: B) 5/2

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20. Between the rational numbers 1/4 and 1/2, which number lies in between?

A) 3/4
B) 1/8
C) 3/8
D) 5/8
✔️ Answer: C) 3/8

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