Data Sufficiency ( Hard )
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Question 1 of 15
1. Question
Mark the correct answer as per the following conditions:
(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.Is ab positive?
- (a + b)2 < (a – b)
- X > Y
CorrectIncorrect -
Question 2 of 15
2. Question
Mark the correct answer as per the following conditions:
(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.When Y is divided by 2, is the remainder 1?
- (-1) (Y+2) = -1
- Y is prime.
CorrectIncorrect -
Question 3 of 15
3. Question
Mark the correct answer as per the following conditions:
(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.Is the two digit positive integer P a prime number?
- (P + 2) and (P – 2) are prime.
- (P – 4) and (P + 4) are prime.
CorrectIncorrect -
Question 4 of 15
4. Question
Mark the correct answer as per the following conditions:
(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.Is the two digit positive integer P a prime number?
- (P + 2) and (P – 2) are prime.
- (P – 4) and (P + 4) are prime.
CorrectIncorrect -
Question 5 of 15
5. Question
Mark the correct answer as per the following conditions:
(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.- m > a
- a + b + c + d = 0
CorrectIncorrect -
Question 6 of 15
6. Question
Mark the correct answer as per the following conditions:
(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.Is x3 > x2 ?
- x > 0
- x < 1
CorrectIncorrect -
Question 7 of 15
7. Question
Mark the correct answer as per the following conditions:
(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.#Is y = 3?
- (y – 3)(x – 4) = 0
- (x – 4) = 0
CorrectIncorrect -
Question 8 of 15
8. Question
Mark the correct answer as per the following conditions:
(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.Is x/y a terminating decimal?
- x is a multiple of 2
- y is a multiple of 3
CorrectIncorrect -
Question 9 of 15
9. Question
Mark the correct answer as per the following conditions:
(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.Is the positive integer X divisible by 21?
- When X is divided by 14, the remainder is 4
- When X is divided by 15, the remainder is 5
CorrectIncorrect -
Question 10 of 15
10. Question
Mark the correct answer as per the following conditions:
(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.A set S contains the following elements: {7, 11, 15, 19, 23, x}. What is the value of x?
- The elements are in arithmetic progression.
- x is prime.
CorrectIncorrect -
Question 11 of 15
11. Question
Mark the correct answer as per the following conditions:
(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.Is xy < 0?
- 5|x| + |y| = 0
- |x| + 5|y| = 0
CorrectIncorrect -
Question 12 of 15
12. Question
Mark the correct answer as per the following conditions:
(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.Is triangle ABC obtuse angled?
- a2 + b2 > c2.
- The center of the circle circumscribing the triangle does not lie inside the triangle.
CorrectIncorrect -
Question 13 of 15
13. Question
Mark the correct answer as per the following conditions:
(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.How many of the numbers x, y, and z are positive if each of these numbers is less than 10?
CorrectIncorrect -
Question 14 of 15
14. Question
Mark the correct answer as per the following conditions:
(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.When a positive integer ‘x’ is divided by a divisor ‘d’, the remainder is 24. What is d?
- When 2x is divided by d, the remainder is 23.
- When 3x is divided by d, the remainder is 22.
CorrectIncorrect -
Question 15 of 15
15. Question
Mark the correct answer as per the following conditions:
(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.Is triangle ABC with sides a, b and c acute angled?
- Triangle with sides a2, b2, c2 has an area of 140 sq cms.
- Median AD to side BC is equal to altitude AE to side BC.
CorrectIncorrect