• #### 1.  Below question is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data your knowledge of Mathematics to choose between the possible answers. ΔPQR has anangle equal to 90°. What is the measure of ∠PQR? I. ∠QPR is 50° and ∠QRP is smaller than ∠QPR. II. ∠QRP = ∠QPR.

• The statement I alone is sufficient to answer the question but the statement II alone is notsufficient
• The statement II alone is sufficient to answer the question but the statement I alone is notsufficient
• Both statements I and II together are needed to answer the question
• Either statement I alone or statement II alone is sufficient to answer the question
• You cannot get the answer from the statement I and II together but need even more data
• #### 2.  The following question, there are three statements I, II and III. Read the question carefully and mark your answer according to which statements(s) is/are sufficient to the answer the question. Find the overall profit percent of the shopkeeper? Statement I: The profit made while selling 1 kg of sugar was 16%. But he uses false weight. Statement II: Weight used was 31% less than the actual 1 kg weight of the sugar. Statement III: There was no discount on the price of the sugar

• Only I and II
• Only II
• Only III
• Only I
• None of these
• #### 3.  Direction: In the following question, a questions and three statements I, II and III are given. You have to decide whether the data given in the statements are sufficient to answer the questions or not. What is the circumference of semi-circle in cm? I. The area of semi-circle is half of the area of rectangle. II. The length of rectangle is 1.5 times the radius of the semi-circle III. The difference between the length and breadth of rectangle is 8 cm.

• Only II and III are sufficient
• Only I and III are sufficient
• Only I and II are sufficient
• All I, II and III are necessary to answer the question
• The question cannot be answered even with all I, II and III
• #### 4.  Directions: Each question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. What is the area of the circle? I. The circumference of a circle twice the radius of required circle is 16π. II. The arc of length π subtends an angle of 45° on the required circle.

• If the data given in the statement I alone is sufficient to answer the question whereas the data given in statement II alone are not sufficient to answer the question.
• If the data given in the statement II alone is sufficient to answer the question whereas the data given in statement I alone are not sufficient to answer the question.
• If the data given in either statement I or in statement II alone is sufficient to answer the question.
• If the data given in both statement I and II is not sufficient to answer the question.
• If the data given in both statement I and II is necessary to answer the question.
• #### 5.  Direction:- Below question is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data your knowledge of Mathematics to choose between the possible answers What is the two digit number in which unit’s place digit is greater than digit at ten’s place? I. The difference between the two digits of the number is 2 II. The sum of the two digits of the number is 8

• The statement I alone is sufficient to answer the question but the statement II alone is not sufficient
• The statement II alone is sufficient to answer the question but the statement I alone is not sufficient
• Both statements I and II together are needed to answer the question
• Either to statement I alone or statement II alone is sufficient to answer the question
• You cannot get the answer from the statement I and II together but need even more data
• #### 6.  Direction: Below question consists a question and two statements numbered I and II are given below it. You have to decide whether the data provided in the statements are sufficient to answer the question Read both the statement and Give answer. What is the ratio of the number of fresher to that of seniors in a college? I. The ratio of males and females in the college is 2:3 II. There are 1125 female freshers in the college

• The data in Statement I alone is sufficient to answer the question, while the data in Statement II alone is not sufficient to answer the question.
• The data in statement II alone is sufficient to answer the question, while the data in Statement I alone is not sufficient to answer the question.
• The data either in Statement I alone or in Statement II alone are sufficient to answer the question.
• The data in both the statements I and II are not sufficient to answer the question
• The data in both the statement I and II together are necessary to answer the question.
• #### 7.  Directions: Given below is a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements is sufficient to answer the question. You should use the given data and your knowledge of Mathematics to choose between the possible answer. What is the time taken by Ram from point A to other point B? I. If he walks 25% faster than his usual speed then he reaches 20 seconds earlier. II. If he walks half of his usual speed, he takes 100 seconds more to reach the finishing point B. III. If he walks one-fourth of his usual speed, he takes 300 seconds more to reach the finishing point B.

• The data in both the statement I and II together is sufficient to answer the question, while the data in statement III alone is not sufficient to answer the question.
• The data in both the statement II and III together is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
• The data in both the statement I and III together is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
• All statements I, II and III alone is sufficient to answer the question.
• The data given in all statements I, II and III are not sufficient to answer the question.
• #### 8.  Directions: Below question 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 the question and both the statements and give answer. Is x greater than y? I. x is greater than 200. II. y is greater than 190.

• 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.
• 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.
• The data either in statement I alone or in statement II alone are sufficient to answer the question.
• The data even in both the statements I and II together not sufficient to answer the question.
• The data in both the statements I and II together are necessary to answer the question.
• #### 9.  Given below is a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements is sufficient to answer the question. You should use the given data and your knowledge of Mathematics to choose between the possible answers. What is the total number of apples that James and John have? I. If John gives 7 apples to James, James will have twice the number of apples that John has. II. If James gives an apple to John, they will have equal number of apples.

• The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
• The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
• The data in statement I alone or in statement II alone is sufficient to answer the question.
• The data in both the statements I and II is not sufficient to answer the question.
• The data in both the statements I and II together is necessary to answer the question.
• #### 10.  Direction: In the following question, a questions is followed by information given in three statements. You have to study the question along with the statements and decide, the information given in which of the statements (s) is necessary to answer the question. What is the area of the square? I. Measure of diagonal of the square is given. II. Measure of one side of square is given. III. Perimeter of the square is given.

• Only II
• Only III
• Only I and III
• Only II and III
• Any one of the three
• #### 11.  Directions: Below question is followed by two statements labelled I and II. Decide if these statements are sufficient to conclusively answer the question. Choose the appropriate answer from the options given below: How many factors of number N is a two digit number? I. N has total number of factors as 16. II. N has 4 single digit prime factors.

• Statement I alone is sufficient to answer the question.
• Statement II alone is sufficient to answer the question.
• Statement I and Statement II together are sufficient, but neither of the two alone is sufficient to answer the question.
• Either Statement I or Statement I alone is sufficient to answer the question.
• Neither Statement I nor Statement II is necessary to answer the question.
• #### 12.  Directions: Read the question and the statements and then decide which of the statement(s) is necessary to answer the question. Find the gain percent for the dealer? Statement I: Weight used while selling were 24% less than the actual weight Statement II: Profit was made on selling the rice and that was 20% more than its cost price Statement III: The dealer made gain on the whole transaction

• Only 1
• Only II
• Only I and II
• All I, II and III
• None of these
• #### 13.  Directions: Below Question is followed by two statements A and B. You are to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose between the possible answers. 6 friends went market to buy clothes. They decided that A will pay for all dresses and others will share their expenses later. If total expense was Rs. 60, 000. What is the expense of C? A. Total of the expenses of A and E is Rs. 25, 000. B. Total of the expenses of B and F is Rs. 15, 600.

• The statement A alone is sufficient to answer the question, but the statement B alone is not sufficient.
• The statement B alone is sufficient to answer the question, but the statement A alone is not sufficient.
• Both statements A and B together are needed to answer the questions.
• Either the statement A alone or the statement B alone is sufficient to answer the question.
• You cannot get the answer from the statement A and B together, but need even more data.
• #### 14.  The question given below consists of a statement and /or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the given question. A biased die with faces bearing the numbers from 1 to 6 is rolled. What is the probability of getting a 6? I. The probability of getting any number n is proportional to n2 II. The probability of getting a perfect square or a prime is 55/91

• Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked
• Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion asked
• BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, butNEITHER statement ALONE is sufficient