**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) X

^{2}+ 5 C) X

^{2}+ 6 + 9 D) 3X

^{2}+ 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. a**

^{b}

**II. (a + b)**

^{2}

**III. a**

^{2 + 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) X

^{3}/3 D) x/7 E) X

^{2}/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. p

^{2}- q

^{2}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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