Answer: D Cancel out the integer ―a on both the sides of he inequality. Arrange ―b on one side of the inequality and ―c on the other. We have to now determine the relation between (- 2b) and (- 2c). If ―b is - ve, then (- 2b) is + ve. If ―c is + ve, then (- 2c) is - ve. So ( - 2b) > (- 2c). Since both the statements are required to determine the outcome, we get (D) as the answer.
Q. No. 134:
What is the Selling Price of the article ? I. The profit on Sales is 20%. II. The profit on each unit is 25% and the Cost Price is Rs. 250.
A :
If both the statements together are insufficient to answer the question.
B :
If any one of the two statements is sufficient to answer the question.
C :
If each statement alone is sufficient to answer the question.
D :
If both the statements together are sufficient to answer the question, but neither statement alone is sufficient.
Answer: B By default, the profit is always mentioned as a % of the CP. From statement (II), we see that the profit on the article is 25% of Rs. 250, which is Rs. 62.50. So the SP can be determined with the help of statement (II) alone.
Q. No. 135:
A tractor travelled a distance of 5 m. What is the radius of the rear wheel? I. The front wheel rotates ―N times more than the rear wheel over this distance. II. The circumference of the rear wheel is ―t times that of the front wheel.
A :
If both the statements together are insufficient to answer the question.
B :
If any one of the two statements is sufficient to answer the question.
C :
If each statement alone is sufficient to answer the question.
D :
If both the statements together are sufficient to answer the question, but neither statement alone is sufficient.
Answer: A To find the radius of the rear wheel, we need to know the numerical value of its circumference. From statement (I), we get a relation between the circumferences of the two wheels in terms of ―N. From statement (II), we get similar information in terms of ―t. Thus, the radius cannot be determined from the given data and the answer is (A).
Q. No. 136:
What is the ratio of the two liquids A and B in the mixture finally, if these two liquids kept in three vessels are mixed together? (The containers are of equal volume) I. The ratio of liquid A to liquid B in the first and second vessel is, respectively, 3: 5, 2: 3. II. The ratio liquid A to liquid B in vessel 3 is 4: 3.
A :
If both the statements together are insufficient to answer the question.
B :
If any one of the two statements is sufficient to answer the question.
C :
If each statement alone is sufficient to answer the question.
D :
If both the statements together are sufficient to answer the question, but neither statement alone is sufficient.
Answer: A There is a catch in the problem. Although the containers are of equal volume, it is not known to what extent these containers are filled by the liquids A and B. (i.e. the first container might be half full, while the second might be two-thirds full). Until such details are known, the final ratio of liquids A and B cannot be found out. Thus, the answer is (A).
Q. No. 137:
What is the number of type 2 widgets produced, if the total number of widgets produced is 20,000? I. If the production of type - 1 widgets increases by 10% and that of type-2 decreases by 6%, the total production remains the same. II. The ratio in which type - 1 and type - 2 widgets are produced is 2 : 1.
A :
If both the statements together are insufficient to answer the question.
B :
If any one of the two statements is sufficient to answer the question.
C :
If each statement alone is sufficient to answer the question.
D :
If both the statements together are sufficient to answer the question, but neither statement alone is sufficient.
Answer: B If the number of type - 1 widgets produced is P and that of type - 2 widgets is Q, then we get the basic equation [P + Q = 20,000] from the data in the question. From statement (I), we get [1.1P + 1.06Q = 20,000]. This is enough to give us the value of B. Similarly from statement (II), we get P = 2Q. This is enough to give us the value of Q.
Q. No. 138:
How old is Sachin in 1997? I. Sachin is 11 years younger than Anil whose age will be prime number in 1998. II. Anil‘s age was a prime number in 1996.
A :
If both the statements together are insufficient to answer the question.
B :
If any one of the two statements is sufficient to answer the question.
C :
If each statement alone is sufficient to answer the question.
D :
If both the statements together are sufficient to answer the question, but neither statement alone is sufficient.
Answer: A Anil‘s age was a prime number in 1996 and 1998. So Anil‘s age in these two yeas can be a pair of such numbers which are prime, and differ by 2. We have many such pairs - (3,5), (5, 7), (11, 13)….. And it is not possible to arrive at a unique answer. So the answer is (A).