## Number of questions:10

Q.1 Read the rules listed below.
1. Statement (a) ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient.
2. Statement (b) ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient.
3. BOTH statements (a) and (b) TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient.
4. Each statement ALONE is sufficient to answer the question.
5. Statements (a) and (b) TOGETHER are NOT sufficient to answer the question.
Is abcd, a four digit positive number, a perfect square?
The digit in ten’s place is an even number.
The digit in unit’s place is six.

Q.2 Directions: Read the rules listed below.

1. Statement (a) ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient.
2. Statement (b) ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient.
3. BOTH statements (a) and (b) TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient.
4. Each statement ALONE is sufficient to answer the question.
5. Statements (a) and (b) TOGETHER are NOT sufficient to answer the question.

If X and Y are positive integers ,is xy +1 divisible by 3 ?

1. When X is divided by 3 , the remainder is 1.
2. When Y is divided by 9,the remainder is 8.

Q.3 Directions: Read the rules listed below.

1. Statement (a) ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient.
2. Statement (b) ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient.
3. BOTH statements (a) and (b) TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient.
4. Each statement ALONE is sufficient to answer the question.
5. Statements (a) and (b) TOGETHER are NOT sufficient to answer the question.

Is |x| > |y| ?

1. X^3  > Y ^3
2. X^2  > Y ^2

Q.4 Directions: Read the rules listed below.

1. Statement (a) ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient.
2. Statement (b) ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient.
3. BOTH statements (a) and (b) TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient.
4. Each statement ALONE is sufficient to answer the question.
5. Statements (a) and (b) TOGETHER are NOT sufficient to answer the question.

A circle circumscribes a square. What is the area of the square?

1. Radius of the circle is given.
2. Length of the tangent is given.

Q.5 Directions: Read the rules listed below.

1. Statement (a) ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient.
2. Statement (b) ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient.
3. BOTH statements (a) and (b) TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient.
4. Each statement ALONE is sufficient to answer the question.
5. Statements (a) and (b) TOGETHER are NOT sufficient to answer the question.

Is X greater than Y?

1. 3X = 2k
2. k = Y^2

Q.6 Directions: Read the rules listed below.

1. Statement (a) ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient.
2. Statement (b) ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient.
3. BOTH statements (a) and (b) TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient.
4. Each statement ALONE is sufficient to answer the question.
5. Statements (a) and (b) TOGETHER are NOT sufficient to answer the question.

How many divisors of  X ,which is an even no. ,are there ?

1. There is exactly one divisor of X in between 2 and 11.
2.  X is a multiple of 61.

Q.7 Directions: Read the rules listed below.

1. Statement (a) ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient.
2. Statement (b) ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient.
3. BOTH statements (a) and (b) TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient.
4. Each statement ALONE is sufficient to answer the question.
5. Statements (a) and (b) TOGETHER are NOT sufficient to answer the question.

Is A > B?

1. A^3 > B^ 3
2. 1/A > 1/B

Q.8 Directions: Read the rules listed below.

1. Statement (a) ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient.
2. Statement (b) ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient.
3. BOTH statements (a) and (b) TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient.
4. Each statement ALONE is sufficient to answer the question.
5. Statements (a) and (b) TOGETHER are NOT sufficient to answer the question.

Is X^2 > X^3?

1. X^3 > X^ 4
2. X > X^ 2

Q.9 Directions: Read the rules listed below.

1. Statement (a) ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient.
2. Statement (b) ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient.
3. BOTH statements (a) and (b) TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient.
4. Each statement ALONE is sufficient to answer the question.
5. Statements (a) and (b) TOGETHER are NOT sufficient to answer the question.

Is abcd , four digit positive number , a perfect square?

1. The digit in tens place is an even number .
2. The digit in unit’s place is 5.

Q.10 Directions: Read the rules listed below.

1. Statement (a) ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient.
2. Statement (b) ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient.
3. BOTH statements (a) and (b) TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient.
4. Each statement ALONE is sufficient to answer the question.
5. Statements (a) and (b) TOGETHER are NOT sufficient to answer the question.

A and B together can do apiece of work in “p” days , B and C together in “q” days, C and A together in “r” days. Working alone , who among A,B and C can complete the work fastest?

1. q > p
2. r < q 