**Directions (Qs.1-4):** Each question is followed by two statements, A and B. Answer each question using the following} instructions.

**Choose 1.** If the question can be answered by using statement A alone but not by using B alone.

**Choose 2.** If the question can be answered by using statement B alone but not by using A alone.

**Choose 3**. If the question can be answered by using either statement alone.

**Choose 4.** If the question can be answered by using both the statements together.

**Question 1: **Four friends, P,Q, R and S got the top four ranks in a competitive examination, but P did not get the first, Q did not get the second, R did not get the third, and S did not get the fourth rank.

Who secured which rank?

A. Neither P nor S were among the first 2.

B. Neither Q nor R was third of fourth.

**Question 2: **In a cricket match the ‘man of the match’ award is given to the player scoring the highest number of runs. In case of tie, the player (out of those locked in the tie) who has taken the higher number of catches is chosen. Even thereafter if there is a tie, the player (out of those locked in the tie) who has dropped fewer catches is selected. Amar, Akbar and Antony who were contenders for the award dropped at least one catch each. Akbar dropped 2 catches more than Amar did, scored 50, and took 2 catches. Antony got two chances to catch and dropped both. Who was the ‘man of the match’?

A. Antony made 15 runs less than both Amar and Akbar.

B. The catches dropped by Akbar are 1 more than the catches taken by Amar.

**Question 3: **A family has only one kid. The father says “after ‘x’ years, my age will be 4 times the age of my kid. “The mother says “after *‘x*‘ years, my age will be 3 times that of my kid. “What will be the combined ages of the parents after ‘*x*‘ years ?

A. The age difference between the parents is 10 years.

B. After *‘x’ *years, the kid is going to be twice as old as she is now.

**Question 4: **The members of a local club contributed equally to pay Rs. 600 towards a donation. How much did each one pay?

A. If there had been five fewer members, each one would have paid an additional Rs. 10.

B. There were at least 20 members in the club, and each one paid on more than Rs. 30.

*Answers and Explanations*

**Answer 1: (C)**

Statement A: __Q__ __R__ __S__ __P__

*If P cannot come at 1st or 2nd & S also cannot come at 1st. 2nd and 4th, then S has to come at 3rd position. Now at the 2nd position, nor can P come, nor Q, nor S, therefore R comes at 2nd position. Now at 1st position Q will come and at the 4th position, P will come. Hence P, individually is sufficient. *

Statement B: Q R S P

Q has to come on 1st position, and P has to come on 4th position as none of Q, R and S can come on 4th position will come at 2nd and S at the 3rd position. Therefore, both statements are individually sufficient to answer the questions.

**Answer 2: ****(d)**

Statement A gives that Amar and Akbar both score 50 runs but no information about number of catches taken by Amar. Statement B individually states nothing about the runs scored by Amar and Antony. Therefore nothing can be concluded by A individually or B individually. On combining both the statements, we have Amar as the “man of the match.”

**Answer 3: (a)**

According to the problem, we have

Let the ages of father, mother and son be F, M and S respectively. (F + x) = 4 (S + x*) *& (M + *x) *= 3 *(S + x). *Solving these equations we get,

*F-M = S + x*

Statement A: It gives that F – M = 10.

Thus S + *x *= 10.

The combined ages of father and mother after x years will be F + M + *2x. *

Thus answer = 7 × (10) = 70 years. Statement B: S + x = 2S ⇒S = x.

This statement does not give any conclusive answer.

So only statement *A *alone is enough to get the correct answer.

**Answer 4: (a)**

Statement A: The equation that can be formed is 600/(x – 5) – 600/x = 10. We can solve this to get the final answer. Statement B: Statement B does not provide sufficient data to solve the problem as actual members in the club are not stated.