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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.

What is the value of the four digit number abcd , where abcd * d =dcba and dcba is also a four digit number??

  1. a,b,c,d  are distinct digits
  2. d is equal to 9.

Discuss
+

Explanation: The question can be answered with the help of option (a) only. 1089* 9= 9801.

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.

How many divisors are there of a four digit no. pqpq?

  1. p and q are the digits of a prime no.
  2. p and q are the digits of a composite no. where p and q are distinct.

Discuss
+

Explanation: pq * (101) =pqpq . So if pq is a prime no. and 101 is also a prime no., then there will be 2 prime divisors of it. But if pq is a composite no., we can’t conclude how many prime factors are there of pq exists.

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.

X = p^4 + p^2 , Where p is a natural number. What will occur at the unit’s place of the number X?

  1. The last digit of X is a natural number.
  2. The last digit of X is a composite number.

Discuss
+

Explanation: X can end with 0,2 or 6 only. So ,if it is written that X have composite last digit , only option left is 6.

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 one.

Discuss
+

Explanation: Though ,it is correct that all the perfect square no.s which have one at the unit’s place ,would always have even number at the ten’s place, but the vice-versa is not true.

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. p > q
  2. r < q

Discuss
+

Explanation: q > p means that A will take more time than C to complete the same work. r > q means that A will take more time than B. So if we take both the options together than we can’t about the gastest one.