How many positive integers exist between 10^6 and 10^7, the sum of whose digits equal to 2 ?

A) 5
B) 6
C) 7
D) 8
E) 18

If r>t and r<1 and rt=1, then which one of the following must be true ?

A) r>0 and t<-1
B) r>-1 and t<-1
C) r<-1 and t<-1
D) r<1 and t>1
E) r>1 and t<0

If the symbol ? represents either addition, subtraction, multiplication, or division, what is the value of 6 ? 2?

(1)10 ? 5 = 2
(2) 4 ? 2 = 2

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

2x + 1 is a prime number between 30 and 50. Is x + 2 prime?

(1) x is odd
(2) x is divisible by 3

Q is a prime number bigger than 10. What is the smallest positive number (except 1) that 3Q can be divided by equally?

a) 3Q.
b) Q
c) 3
d) Q+3
e) 2Q

If p.q and r are positive integers greater than 1, and p and q are factors of r, which of the following must be the factor of r^pq?

I. p+q
II. q^p
III. p^2 * q^2

A. I only

B. II only

C. III only

D. I and II

E. II and III

.1…2….3…. 4….. 5…… 6………………………Good News… TakeGMAT Team pleased to announce that now you will receive not 1, 2 or 3….Total six questions a day…….On the each interval of 4 hours. We can increase or decrease the frequency of questions depends on your feedback.

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For how many two digit positive numbers will tripling the tens digit give us a two digit number that is triple the original. (Contributed by: Srinivasan, Hyderabad)
A) None
B) 1
C) 2
D) 3
E) 4