Playing With Numbers

16. The number of common prime factors of 75, 60 and 105 is

  • (A) 2
  • (B) 3
  • (C) 4
  • (D) 5

15. Which of the following numbers is divisible by 11?

  • (A) 1011011
  • (B) 1111111
  • (C) 22222222
  • (D) 3333333

14. What is the value of x if 92x389 is divisible by 11?

  • (A) 9 
  • (B) 7 
  • (C) 6
  • (D) 8

13. What is the value of y if 8y9484 is divisible by 11?

  • (A) 9 
  • (B) 7 
  • (C) 6
  • (D) 8

12. LCM of 10, 15 and 20 is

  • (A) 30
  • (B) 60
  • (C) 90
  • (D) 180

11. Every factor of a number x is

  • (A) < x
  • (B) > x
  • (C) ≤ x
  • (D) = x

10. Every multiple of a number x is

  • (A) ≤ x
  • (B) > x
  • (C) ≥ x
  • (D) = x

9. If a number is divisible both by 2 and 3, then it must be divisible by  

  • (A) 4
  • (B) 6
  • (C) 9
  • (D) None of these

8. If the digit in one’s place of a number is any of the digits 0, 2, 4, 6 or 8, the number is always divisible by

  • (A) 4
  • (B) 2
  • (C) 3
  • (D) 5

7. The sum of all the multiples of 9 from 89 to 100 is

  • (A) 188       
  • (B) 189       
  • (C) 190       
  • (D) 191

6. If the HCF of two numbers is one of the numbers, then their LCM is

  • (A) 1 
  • (B) HCF      
  • (C) The other number    
  • (D) 2

5. If xy, which of the following is true?

  • (A) LCM (x, y) = HCF (x, y)      
  • (B) LCM (x, y) ≥ HCF (x, y)      
  • (C) LCM (x, y) ≤ HCF (x, y)      
  • (D) None of these

4 LCM of two numbers is 180. Then which of the following is not the HCF of the numbers?

  • (A) 45
  • (B) 60
  • (C) 75
  • (D) 90

3. A whole number is added to 25 and the same number is subtracted from 25. The sum of the resulting numbers is

  • (A) 0
  • (B) 25
  • (C) 50
  • (D) 75

2. Which of the following is not true?

  • (A) (7 + 8) + 9 = 7 + (8 + 9)
  • (B) (7 × 8) × 9 = 7 × (8 × 9)
  • (C) 7 + 8 × 9 = (7 + 8) × (7 + 9)
  • (D) 7 × (8 + 9) = (7 × 8) + (7 × 9)

1. By using dot (.) patterns, which of the following numbers can be arranged in all the three ways namely a line, a triangle and a rectangle?

  • (A) 9
  • (B) 10
  • (C) 11
  • (D) 12

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