Wednesday, February 29, 2012

Exercise Problem (Number System, prime number, divisible, gratest position, possible value, square, greater then, integer, odd integer, even integer, positive integer, difference)

1. If the product of 3 different positive integers is 6, then twice the sum of the integers is ?
A) 12      B) 4      C) 18      D) 36      E) None

2. The product of three different odd numbers is 15, then what is the smallest of these numbers?
A) 12      B) 4      C) 18      D) 36      E) None

3. If x is an negative odd integer & y is an positive even integer, then xy must be ?
A) Even & -ve    B) Odd & -ve      C) Even & + ve    D) Odd & + ve      E ) Can't be determined

4. The product of all the integers between -100 and 100 is ..
A) 10000      B) 99999      C) 356100      D) 0

5. If n & p are both odd numbers which of the following number must be even?
A)  N+ P     B) NP     C) np + 2      D) n + p + 1      E)  2n + p

6. If x is a positive even number, then each of the following is odd except:
A) (x + 3) (x + 5)    B) X2 + 5     C) X2 + 6 + 9   D) 3X2 + 4    E) None

7. If positive integers x & y are not both odd, which of the following must be even?
A) xy    B) x + y    C) x-y    D) x + y - 1     E)  2(x + y ) -1

8. If a & b are both positive even integers, which of the following must be even ?
I. ab        II. (a + b)2      III. a2 + 1  
A) I only      B) I & II      C) I & III       D) I, II, III

9. If 3x represents an odd integer, which of the following represents the next larger odd integer?
A) 3(X + 1)     B) 3(x+2)      C) 3(x+ 3)      D) 3x+2      E) 3(x+2) +1

10. Which of the following is the product of two positive integers whose sum is 3 ?
A) 0      B) 1      C) 2      D) 3      E)  4

11. If the integer x is divisible by 5 but not by 2 then which one of the following is never an integer? 
A) x/24     B) x+1/2     C) X3 /3     D) x/7     E) X2/3

12. If p & q are primes greater than 2, which of the following must be true?
I. p + q is even.
II. pq is odd.
III. p2 - q2  is even.
A) I only     B) II only      C) I & II      D) I & III      E) I, II & III

13. given that 
a) Square of k is odd
b) 2k is even
The integer k is :
A) odd      B) even      C) Both odd & even      D) Can't be determined

14. If -7≤ x ≤ 7  and 0 ≤ y ≤ 12, what is the greatest possible value of y - x?
A) -19      B) 5     C) 7       D) 17      E) 17

15. The number of primes divisible by 1 is ?
  A) 100      B)  200      C) 10000    D) Infinite

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