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# Ra01 data sufficiency

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### Ra01 data sufficiency

1. 1. DATA SUFFICIENCY
2. 2. DATA SUFFICIENCY
3. 3. DATA SUFFICIENCY
4. 4. DATA SUFFICIENCY
5. 5. DATA SUFFICIENCY
6. 6. DATA SUFFICIENCY
7. 7. • If you find the statement (i) alone is sufficient to answer the question do not blindly put down • A and go on to the next problem. Look at statement (2) alone also. If (2) also is sufficient, the • answer is “D”. • The Data Sufficiency questions usually have two types of solutions. One, in which you are • required to determine only yes or no as the answer, and other, in which a numerical solution • is required. For example,
8. 8. • Solution Type I • The Data Sufficiency questions which require only a „yes‟ or „no‟ as the answer may appear • like: • Ø Is Binny taller than Sammy? • Ø Is Manu paying more than she should? • Ø Is x > 0? • Ø Is interest paid to the bank in 5 years more than rs.6000? • Solution Type II • The Data Sufficiency questions which require an actual numerical solution may sound like: • Ø How tall is Binny? • Ø How much Manu is paying to her house-maid? • Ø Determine the value of x? • Ø Calculate the interest earned by the bank on a loan of rs.10000 @ 5% per annum for a • term of 2 years? • REMEMBER YOU SHOULD NOT SOLVE THESE PROBLEMS. JUST CHECK • WHETHER THE GIVEN DATA IS SUFFICIENT TO SOLVE THESE PROBLEMS. • You should review the basic concepts of highschool algebra and plane geometry (upto +2 • level). You need not have advanced mathematics background.
9. 9. • Examples: • How much change does Mahesh receive from a `.5 note? • (i) Mahesh buys a total of 6 oranges at 50 paise each. . • (ii) Mahesh receives more than `.3 in change.
10. 10. • Look at (I). If Mahesh buys a total of 6 oranges at 50 paise each, it is easy to find how much money Mahesh spends. There is no need to multiply 6 and 50 paise. We can easily find the change from rs.5 note. • Statement (II) does not tell us anything definite so it cannot be used to answer the question. • Thus Choice A is correct.
11. 11. • How many people are there at the party? • (i) The party has between 20 and 30 people. • (ii) The number of the people at the party is a prime number between 24 and 30. (A prime number cannot be divisible by another number except one and the same number).
12. 12. • Certainly statement (I) alone cannot answer the question. Now look at statement (II). • The only prime number between 24 and 30 is 29. • Thus statement (II) alone is sufficient to answer the question. • Thus Choice B is correct.
13. 13. • Is x + y positive? • (i) x3 = 20 y • (ii) y3 = -129
14. 14. • Look at statement (I). • This does not tell us anything about x + y. • Now, look at the second statement (II). • This tells us that y is negative (since y3 is negative). • But this does not answer our question. • However if y is negative according to statement (II), then according to statement (I) x is also negative. Therefore x + y must be negative
15. 15. • The first statement implies that y2 > 38 • So statement (I) implies that y2 > 38.and we have answered the question. • Now look at the statement (II). • If y = 7, then y2=49 and certainly 49 > 37. • Thus statement (II) answers our question. Since both the statements (I) and (II) answer our question by themselves, choice D is correct
16. 16. • What is the perimeter of the triangle ABC? • (i) Triangle ABC is a right triangle. • (ii) The area of triangle ABC = 30.
17. 17. • Statement (I) alone certainly does not answer our question because the fact that a triangle is a right triangle. Statement (II) tells us that the area is 30. • Statement (2) alone will not tell us what the perimeter of the triangle is.Suppose we look at the statements (I) and (II) together. • Let the sides of the right triangle be x , y ,z. where z is the hypotenuse. The area of the triangle is ½ xy = 30 • We cannot determine the perimeter. So,Choice E is correct.
18. 18. • The ratio of the prices of three different types of cars is 3:2:5. Find the price of the car of medium price. • A) The difference between the costliest and the cheapest cars is `.30,000. • B) The Cheapest car costs `.20,000. • Ans: C
19. 19. DS – Ages • Find the age of Amar‟s Wife • A. Amar told Bhavan, “My wife is 24 years older than your daughter. Your wife is 6 years older than my son.” • B. Bhavan told Amar, “ Your wife is as much older than my wife as 7 times the age of my daughter is more than your son‟s age. • Sol: 4 Amar Bhavan Wife y + 24 x Son x – 6 y Given 7y – (x) = (y+24) – (x–6)
20. 20. DS - from CTS • How many visitors saw the exhibition yesterday? • I. Each entry pass holder can take up to three persons with him / her. • II. In all, 243 passes were sold yesterday. • Ans: E
21. 21. • How much was the total sale of the company? • I. The company sold 8000 units of product A each costing Rs. 25. • II. The company has no other product line • Ans: D
22. 22. • In what proportion would Raj, Karan and Altaf distribute profit among them • I. Raj gets two-fifth of the profit. • II. Karan and Althaf have made 75% of the total investment. • Ans: E
23. 23. • What time did the train leave today. • I. The train normally leaves on time • II. The scheduled departure is at 14.30. • Ans: E.
24. 24. • On which day in January, Subhas left for Germany? • I. Subhas has so far spent 10 years in Germany. • II. Subhas friend Anil left for Germany on 15th February and joined Subhas 20 days after Subhas arrival. • Ans: B.
25. 25. TYPE II • In each question, information concerning one or both of the quantities to be compared is given in the item column. • Directions: For each of the following questions, two quantities are given – one in column A and one in column B. Compare the two quantities and mark your answer sheet with the correct conclusion. • Mark A if the quantity in column A is greater. • Mark B if the quantity in column B is greater • Mark C if the two quantities are equal. • Mark D if the relationship cannot be determined from the information given.