# Ch.12 :- Data – Sufficiency : Exercise 3

✦ Directions for Q. No. 1 to 25 : Each of the question given below contains a question and two statements numbered
I and II. You have to decide whether the data given in the statements are sufficient for answering the question. The correct answer is :

1. Which of the integers a, b, c, d, e are odd numbers ?
I. a, b, c, d, e are consecutive integers.
II. c is an even integer.

(a) if statement I alone is sufficient but statement II alone is not sufficient.

(b) if statement II alone is sufficient but statement I alone is not sufficient.

(c) if both statements I and II together are sufficient but neither of statements alone is sufficient.

(d) if each statement alone is sufficient.

(e) if statements I and II together are not sufficient.

2. What is 4th consecutive even number in a given series of even real numbers?
I. The sum of 1st two numbers is 18.
II. The sum of last two numbers is 26.

(a) if statement I alone is sufficient but statement II alone is not sufficient.

(b) if statement II alone is sufficient but statement I alone is not sufficient.

(c) if both statements I and II together are sufficient but neither of statements alone is sufficient.

(d) if each statement alone is sufficient.

(e) if statements I and II together are not sufficient.

3. How many girls passed B.Ed. entrance examination this year?
I. Last year 500 girls passed.
II. This year there was a 10% decrease over last year in the number of failures.

(a) if statement I alone is sufficient but statement II alone is not sufficient.

(b) if statement II alone is sufficient but statement I alone is not sufficient.

(c) if both statements I and II together are sufficient but neither of statements alone is sufficient.

(d) if each statement alone is sufficient.

(e) if statements I and II together are not sufficient.

4. What will be the age of Saurabh after 5 years from now?
I. Saurabh is 30 years younger than his father.
II. His father was 50 years old 5 years ago.

(a) if statement I alone is sufficient but statement II alone is not sufficient.

(b) if statement II alone is sufficient but statement I alone is not sufficient.

(c) if both statements I and II together are sufficient but neither of statements alone is sufficient.

(d) if each statement alone is sufficient.

(e) if statements I and II together are not sufficient.

5. In a class of 60 students, how many boys scored over
80 % in the Chemistry test?
I. Exactly 5 girls scored over 80% in the test.
II. 2/3rd of the class scored over 80% in the test.

(a) if statement I alone is sufficient but statement II alone is not sufficient.

(b) if statement II alone is sufficient but statement I alone is not sufficient.

(c) if both statements I and II together are sufficient but neither of statements alone is sufficient.

(d) if each statement alone is sufficient.

(e) if statements I and II together are not sufficient.

6. P, Q, R are negative integers and t is a number. Is it negative?
I. t = P – Q.
II. tR = P.

(a) if statement I alone is sufficient but statement II alone is not sufficient.

(b) if statement II alone is sufficient but statement I alone is not sufficient.

(c) if both statements I and II together are sufficient but neither of statements alone is sufficient.

(d) if each statement alone is sufficient.

(e) if statements I and II together are not sufficient.

7. What is John’s age?
I. In 15 years, John will be twice as old as Dias would be.
II. Dias was Born 5 years ago.

(a) if statement I alone is sufficient but statement II alone is not sufficient.

(b) if statement II alone is sufficient but statement I alone is not sufficient.

(c) if both statements I and II together are sufficient but neither of statements alone is sufficient.

(d) if each statement alone is sufficient.

(e) if statements I and II together are not sufficient.

8. In a s-term series 4, P, Q, R, 16 what is the value of R, all numbers being real?
I. 3rd term is twice 1st term.
II. 4th term is twice the 2nd term.

(a) if statement I alone is sufficient but statement II alone is not sufficient.

(b) if statement II alone is sufficient but statement I alone is not sufficient.

(c) if both statements I and II together are sufficient but neither of statements alone is sufficient.

(d) if each statement alone is sufficient.

(e) if statements I and II together are not sufficient.

9. Is A – S even? A is a real number.
I. A – I S is an integer.
II. A – I O is an odd integer.

(a) if statement I alone is sufficient but statement II alone is not sufficient.

(b) if statement II alone is sufficient but statement I alone is not sufficient.

(c) if both statements I and II together are sufficient but neither of statements alone is sufficient.

(d) if each statement alone is sufficient.

(e) if statements I and II together are not sufficient.

10. The average marks of three students A, Band C in Mathematics are 180, what are the marks of each of the student?
I. Band C together obtained 85 marks.
II. A and C together obtained 70 marks.

(a) if statement I alone is sufficient but statement II alone is not sufficient.

(b) if statement II alone is sufficient but statement I alone is not sufficient.

(c) if both statements I and II together are sufficient but neither of statements alone is sufficient.

(d) if each statement alone is sufficient.

(e) if statements I and II together are not sufficient.

11. How old is the teacher?
I. The average age of 10 students and their teacher is 25 years.
II. The teacher’s age is 10 years more than the oldest student’s age.

(a) if statement I alone is sufficient but statement II alone is not sufficient.

(b) if statement II alone is sufficient but statement I alone is not sufficient.

(c) if both statements I and II together are sufficient but neither of statements alone is sufficient.

(d) if each statement alone is sufficient.

(e) if statements I and II together are not sufficient.

12. What are the sides of a right-angled traingle?
I. The difference between the hypotenuse and base is 6 cm.
II. The difference between the hypotenuse and perpendicular is 3 cm.

(a) if statement I alone is sufficient but statement II alone is not sufficient.

(b) if statement II alone is sufficient but statement I alone is not sufficient.

(c) if both statements I and II together are sufficient but neither of statements alone is sufficient.

(d) if each statement alone is sufficient.

(e) if statements I and II together are not sufficient.

13. How long would it take Amit to complete the work?
I. Amit and Sumit together complete the work in 10 days.
II. Amit takes 5 days more than Sumit to complete the work.

(a) if statement I alone is sufficient but statement II alone is not sufficient.

(b) if statement II alone is sufficient but statement I alone is not sufficient.

(c) if both statements I and II together are sufficient but neither of statements alone is sufficient.

(d) if each statement alone is sufficient.

(e) if statements I and II together are not sufficient.

14. Is B positive?
I. A + B is positive .
II. A – B is positive.

(a) if statement I alone is sufficient but statement II alone is not sufficient.

(b) if statement II alone is sufficient but statement I alone is not sufficient.

(c) if both statements I and II together are sufficient but neither of statements alone is sufficient.

(d) if each statement alone is sufficient.

(e) if statements I and II together are not sufficient.

15. When will the Indian population exceed chinese population?
I. Population of China grows at the rate of 10% per decade and that of India at the rate of 15% per decade.
II. In 1980, chinese population was 10 crores more than the Indian population.

(a) if statement I alone is sufficient but statement II alone is not sufficient.

(b) if statement II alone is sufficient but statement I alone is not sufficient.

(c) if both statements I and II together are sufficient but neither of statements alone is sufficient.

(d) if each statement alone is sufficient.

(e) if statements I and II together are not sufficient.

16. How much more per kg does tea cost than sugar?
I. 7 kg sugar and 1 kg tea cost Rs 80.
II. 4 kg of sugar and 2 kg of tea cost Rs 200.

(a) if statement I alone is sufficient but statement II alone is not sufficient.

(b) if statement II alone is sufficient but statement I alone is not sufficient.

(c) if both statements I and II together are sufficient but neither of statements alone is sufficient.

(d) if each statement alone is sufficient.

(e) if statements I and II together are not sufficient.

17. A’s salary was increased by 20%, by what % his savings is increased?
I. He used to save 10% of his income before increment.
II. He increased his expenses just by 10% after increment.

(a) if statement I alone is sufficient but statement II alone is not sufficient.

(b) if statement II alone is sufficient but statement I alone is not sufficient.

(c) if both statements I and II together are sufficient but neither of statements alone is sufficient.

(d) if each statement alone is sufficient.

(e) if statements I and II together are not sufficient.

18. What is the average salary of three employees P, Q and R of an organisation?
I P and Q together earn Rs 60 more than R, and R earns Rs 100.
II Q’s salary is half of the combined salary of P and R.

(a) if statement I alone is sufficient but statement II alone is not sufficient.

(b) if statement II alone is sufficient but statement I alone is not sufficient.

(c) if both statements I and II together are sufficient but neither of statements alone is sufficient.

(d) if each statement alone is sufficient.

(e) if statements I and II together are not sufficient.

19. What is the percentage increase in profit of company A in 1998 with that of 1996.
I. Company’s profit in 1996 was Rs 200 crore which was 20% more than that of 1997.
II. Profit in 1998 was Rs 250 crore and was more by Rs 50 crore with that of 1996.

(a) if statement I alone is sufficient but statement II alone is not sufficient.

(b) if statement II alone is sufficient but statement I alone is not sufficient.

(c) if both statements I and II together are sufficient but neither of statements alone is sufficient.

(d) if each statement alone is sufficient.

(e) if statements I and II together are not sufficient.

20. If A > 0 (zero), what is the value of one-fourth of NB ?
I. B = 3 A.
II. A = S.

(a) if statement I alone is sufficient but statement II alone is not sufficient.

(b) if statement II alone is sufficient but statement I alone is not sufficient.

(c) if both statements I and II together are sufficient but neither of statements alone is sufficient.

(d) if each statement alone is sufficient.

(e) if statements I and II together are not sufficient.

21. How much did a man earn in 1960?
I. He earned Rs 6,500 in 1963 which is 12.5% more than he earned in 1960.
II. His wife (who earned half the amount he earned) and he earned Rs 8,666.62 together in 1960.

(a) if statement I alone is sufficient but statement II alone is not sufficient.

(b) if statement II alone is sufficient but statement I alone is not sufficient.

(c) if both statements I and II together are sufficient but neither of statements alone is sufficient.

(d) if each statement alone is sufficient.

(e) if statements I and II together are not sufficient.

22. Is Akbar taller than Raees ?
I. Akbar is taller than Rahim.
II. Rahim is not as tall as Raees.

(a) if statement I alone is sufficient but statement II alone is not sufficient.

(b) if statement II alone is sufficient but statement I alone is not sufficient.

(c) if both statements I and II together are sufficient but neither of statements alone is sufficient.

(d) if each statement alone is sufficient.

(e) if statements I and II together are not sufficient.

23. If ‘x is an integer, is x/2 an even integer?
I. x is a multiple of 2.
II. x is a multiple of 4.

(a) if statement I alone is sufficient but statement II alone is not sufficient.

(b) if statement II alone is sufficient but statement I alone is not sufficient.

(c) if both statements I and II together are sufficient but neither of statements alone is sufficient.

(d) if each statement alone is sufficient.

(e) if statements I and II together are not sufficient.

24. In a factory capacity of a solution tank A is 70% of the capacity of the another tank B. How many more gallons of solution are in tank A than in tank B ?
I. Tank A is 80% full and tank B is 40% full.
II. Full tank of A contains 14,000 gallons of solution.

(a) if statement I alone is sufficient but statement II alone is not sufficient.

(b) if statement II alone is sufficient but statement I alone is not sufficient.

(c) if both statements I and II together are sufficient but neither of statements alone is sufficient.

(d) if each statement alone is sufficient.

(e) if statements I and II together are not sufficient.

25. What is the cost price of an article?
I. The article is sold for Rs 24 at a loss of 10%.
II. The % loss is as much as the cost price of the article.

(a) if statement I alone is sufficient but statement II alone is not sufficient.

(b) if statement II alone is sufficient but statement I alone is not sufficient.

(c) if both statements I and II together are sufficient but neither of statements alone is sufficient.

(d) if each statement alone is sufficient.

(e) if statements I and II together are not sufficient.

✦ Directions for Q. No. 26 to 36: 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 your answer as :

26. How many students in standard V of our school play chess?
I. No girl has interest in chess.
II. In standard V, there are 40 boys.

(a) if the data in the statement I alone are sufficient to answer the questions.

(b) if the data in statement II alone are 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 even in both statement 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.

27. How old is Tomar?
I. Tomar could not appear for the final exams because he was short by two months for the stipulated 18 years of age in Jan. this year.
II. He will become eligible for casting his vote, where minimum age limit is 18, in March this year.

(a) if the data in the statement I alone are sufficient to answer the questions.

(b) if the data in statement II alone are 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 even in both statement 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.

28. Jai ranks 10th in the class. How many students are there in the class?
I. His class-friend got 58th rank which is the last.
II. Jai’s rank from the last (other and) is 49th.

(a) if the data in the statement I alone are sufficient to answer the questions.

(b) if the data in statement II alone are 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 even in both statement 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.

29. How many brothers does Ramu have.
I. Ramu’s father has three children.
II. Ramu has two sisters.

(a) if the data in the statement I alone are sufficient to answer the questions.

(b) if the data in statement II alone are 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 even in both statement 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.

30. Lal is taller than N and, Jim is taller than Harry. Who among them is the tallest?
I. Jim is taller than N and.
II. Lal is taller than Harry.

(a) if the data in the statement I alone are sufficient to answer the questions.

(b) if the data in statement II alone are 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 even in both statement 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.

31. Who is the heaviest among Arnol, Prabhu, Narayan and Navin?
I. Arnol and Prabhu are of the same weight.
II. Prabhu’s weight is more than Narayan, but less than Navin.

(a) if the data in the statement I alone are sufficient to answer the questions.

(b) if the data in statement II alone are 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 even in both statement 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.

32. How many daughters does ‘L’ have.
I. R’s father has three daughters.
II. T is R’s sister and the daughter of L.

(a) if the data in the statement I alone are sufficient to answer the questions.

(b) if the data in statement II alone are 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 even in both statement 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.

33. Rajiv’s rank is 17th in his class. What is his rank from the last?
I. ‘There are 70 students in his class.
II. Abhijeet, who ranks 20th in Rajiv’s class is 51st from the last.

(a) if the data in the statement I alone are sufficient to answer the questions.

(b) if the data in statement II alone are 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 even in both statement 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.

34. A library contains only English, Hindi and Telugu novels. How many Telugu novels are there in the library ?
I. Of the one thousand novels in the library, fifty, percent novels are in English and Hindi.
II. The number of Hindi novels is double the number of English novels.

(a) if the data in the statement I alone are sufficient to answer the questions.

(b) if the data in statement II alone are 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 even in both statement 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.

35. The area of a playground is 484 square metre. What is its perimeter?
I. It costs Rs 912 to put a fence around the playground.
II. The playground is a perfect square.

(a) if the data in the statement I alone are sufficient to answer the questions.

(b) if the data in statement II alone are 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 even in both statement 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.

36. In a certain code language ‘pe nop con’ means ‘we like roses.’ Which word means ‘roses’?
I. ‘nop to cop’ means ‘we are honest’.
II. ‘pe me say’ means ‘they like flowers’.

(a) if the data in the statement I alone are sufficient to answer the questions.

(b) if the data in statement II alone are 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 even in both statement 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.