Exciting MCQ’s

1. The number of digits in 416 525 is

  • (A) 31             
  • (B) 30             
  • (C) 29             
  • (D) 28                        
  • (E) 27

2. The number 2564 ∙ 6425 is the square of a positive integer N. In decimal representation, the sum of the digits of N is

  • (A) 7               
  • (B) 14             
  • (C) 21             
  • (D) 28                        
  • (E) 35

3. What is the sum of the digits of the decimal form of the product 21999 ∙ 52001?

  • (A) 2               
  • (B) 4               
  • (C) 5               
  • (D) 7              
  • (E) 10

4. The value of (256)0.16(256)0.09 is

  • (A) 4               
  • (B) 16             
  • (C) 64             
  • (D) 256.25     
  • (E) –16

5. Let w, x, y, and z, be whole numbers. If 2w ∙ 3x ∙ 5y ∙ 7z = 588 then what does 2w + 3x + 5y + 7z equal?

  • (A) 21             
  • (B)25              
  • (C) 27             
  • (D) 35                        
  • (E) 56

6. If x and y are positive integers for which 2x3y = 1296, what is the value of x + y?

  • (A) 8               
  • (B) 9               
  • (C) 10             
  • (D) 11                        
  • (E) 12

7. An integer x is chosen so that 3x + 1 is an even integer. Which of the following must be an odd integer?

  • (A) x + 3        
  • (B) 2x             
  • (C) x ⎼ 3         
  • (D) 7x + 4      
  • (E) 5x + 3

8. A three-digit number XYZ is formed of three different non-zero digits X, Y and Z. A new number is formed by rearranging the same three digits. What is the greatest possible difference between the two numbers? (For example, 345 could be rearranged into 435, for a difference of 435 – 345 = 90.)

  • (A) 792           
  • (B) 293           
  • (C) 564           
  • (D) 984
  • (E) 297

9. How many three-digit positive integers, with digits x, y and z in the hundred’s, ten’s and unit’s place respectively exist such that x < y, z < y, xy, and x ≠ 0?

  • (A) 245           
  • (B) 285           
  • (C) 240           
  • (D) 320
  • (D) 328

10. Avirupa gives half of her 24 pages to a friend. How many pages does she give away?

  • (A) 2
  • (B) 4
  • (C) 6
  • (D) 12        
  • (E) 48
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