344 MCGRAW-HILL’S SAT
SAT Practice 3: Numerical Reasoning Problems
- If mand nare both odd integers, which of the
following must be true?
I. m^2 +n^2 is even
II. m^2 +n^2 is divisible by 4
III. (m+n)^2 is divisible by 4(A) none
(B) I only
(C) I and II only
(D) I and III only
(E) I, II, and III2. 6 AA
× 8
50 B 4
If Aand Brepresent distinct digits in this cor-
rectly worked multiplication problem, what is
the value of B?
(A) 2 (B) 3 (C) 5
(D) 6 (E) 8- If jis the number of integers between 1 and 500
that are divisible by 9 and kis the number of in-
tegers between 1 and 500 that are divisible by 7,
what is j+k?
(A) 126 (B) 127 (C) 128
(D) 129 (E) 130 - If 60 is written as the product of four integers,
each greater than 1, then what is the sum of
those integers?
5. If nis an integer and 2nis a factor of
1 × 2 × 3 × 4 × 5 × 6 × 7 × 8 ×9, what is the greatest
possible value of n?
(A) 5 (B) 6 (C) 7
(D) 8 (E) 9- If p+pqis 4 times p−pq,and pq≠0, which of
the following has exactly one possible value?
(A) p
(B) q
(C) pq
(D) p+pq
(E) p−pq- If a, b, c, d,and eare whole numbers and
a(b(c+d) +e) is odd, then which of the follow-
ing CANNOT be even?
(A) a
(B) b
(C) c
(D) d
(E) ea+b+c= 7
c+d+e= 9- If each letter in the sums above represents a
different positive integer, then c=
(A) 1 (B) 2 (C) 3
(D) 4 (E) 5ABB
+9B 7
AA 7 C
- If A, B,and Care distinct digits in the correctly
worked addition problem above, what is the
value of A+B+C?
(A) 4 (B) 9 (C) 14
(D) 16 (E) 17....1 2 3 4 5 7 8 9610 2 3 4 5 7 8 9610 2 3 4 5 7 8 9610 2 3 4 5 7 8 96