Directions (Q. 15): Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer.
a) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
b) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
c) If the data either in statement I alone or in statement II alone are sufficient to answer the question.
d) If the data in both statements I and II together are not sufficient to answer the question.
e) If the data in both statements I and II together are necessary to answer the question.
1.Is it 5 o’clock?
I. I’m looking at my watch. From this moment on, the hour hand will take exactly twice as long as the minute hand to reach the number six.
II. I’m looking at my watch. From this moment on, the hour hand will take exactly three times longer than the minute hand to reach the number six.
From II: Our answer is ‘No’. There are two possible times in this situation: approx 5 : 15 (the minute hand takes 15 minutes to reach 6 and the hour hand takes 45) and approx 3 : 45 (the minute hand takes 45 minutes to reach 6 and the hour hand takes 2 hours and 15 minutes, which is 135 minutes.)
Answer: C
2.In which month is my birthday?
I. I will celebrate my birthday in a month which begins on a Friday and ends on a Friday too.
II. I will celebrate my birthday in the current month. The result of adding the date of the last Monday of last month and the date of the first Thursday of next month is 38.
From II: In order to add up to 38, it can only be the highest possible number for the last Monday of a month (31) and the highest for the first Thursday of a month (7). Therefore, both last month and the current must have 31 days. The only two 31day months in a row in the same calendar year are July and August. If both the months are from the same calendar year, August is our answer. But the statement does not say that the both the months are from the same calendar year. Note that December and January are also the months in a row which have 31 days each.
Answer: A
3. Two cars start travelling from different points and in opposite directions in a circular race at a constant speed. How much faster is one car going than the other?
I. The distances from A to B, B to C, and C to A are the same.
II. The cars cross for the first time at point A, the second time at point B, the third time at point C, and the fourth time again at point A.
Answer: B
4.Deepa and Subha put 40 matches on the table and make themselves aware of the game for which the matches are to be used. As per the rules, the winner is the one who takes the last match. Who will win the game?
I. Each player in turn takes 1, 3 or 5 matches.
II. Subha chooses to go first and takes 3 matches.
Answer: E
5. What was the score in each match of a threeteam tournament in which the three teams (who participated) A, B and C got 3 points, 2 points and 1 point respectively? 2 points are awarded for a win and 1 for a draw.
I. Each team played once against each of the two other teams.
II. Each team scored one goal.
Answer: E
Directions (Q. 610): Read the information/ statement given in each question carefully and answer the questions.
6.Which of the following expressions will be true if the expression ‘C ≥ F> V ≥ W’ is definitely true?
Answer: E
7.. In which of the following expressions does the expression ‘P> S’ hold true?
Answer: D
8. Which of the following expressions may not be true if the expression ‘H ≥ R = U ≤ G’ is definitely true?
Answer: B
9.Which of the following expressions will be true if the expression ‘E ≥ C< O = S’ is definitely true?
10.In which of the following expressions will the expression ‘A< B’ be definitely true?
Answer: C
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