10 Questions

Questions and Answers

- 1.Which of the following pairs have two numbers reciprocal to each other? (I) 1/31 and – 31 (II) SQRT2 and (SQRT2)/2 (III) 1/x and [(x
^{y})^{1/2y}]^{2 }- A.
I & II

- B.
I, II & III

- C.
II & III

- D.
I Only

- E.
II Only

- 2.If John were to add 4 gallons of water to a tank that is already 2/3 full of water, the tank would be 6/7 full. How many gallons of water would the tank hold if it were half full?
- A.
11.5

- B.
10.5

- C.
10

- D.
21

- E.
11

- 3.Is (1/x) >1? (1) x <1 (2) x >1
- 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

- 4.Find the value of [(x
^{2}/ y^{2}) Cubic Root(y^{3}/x^{3 })] (1) x & y are integers (2) x & y are together either > 0 or <0- 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

- 5.[{10 SQRT(10) + 5 SQRT(5)} {10 SQRT(10) – 5 SQRT(5)}] =
- A.
1125

- B.
875

- C.
75

- D.
125

- E.
775

- 6.68% of 781 - ?% of 289 = 389.47
- A.
39%

- B.
49%

- C.
43%

- D.
38%

- E.
51%

- 7.A function f is defined for each positive four-digit integer m as f(m ) = 2
^{x}3^{y}5^{z}7^{w }, where x, y, z and w are the thousands,hundreds, tens, and units digits of m, respectively. If n and p are four-digit positive integers such that f(n)=125f(p), them n-p=?- A.
30

- B.
9

- C.
18

- D.
20

- E.
10

- 8.What is the value of the ratio of a
^{2 }to b^{3}(1) the ratio of a^{3}to b^{ }is 2/7 (2) the ratio of b^{2}to 1 is 49/4- 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

- 9.Is one of the angles of quadrilateral PQRS equal to 120 degrees? (1) Two of the angles of PQRS namely angle P and angle R are right angles. (2) The degree measure of angle Q is twice the degree measure of angle S.
- 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

- 10.The product of three consecutive odd numbers is 35805. What is the smallest of three numbers?
- A.
31

- B.
41

- C.
43

- D.
33

- E.
37