**GMAT**** Data Sufficiency Practice**

**– Some Interesting questions to test your DS & Quant concepts**

**Directions:** Answer the questions based on the following information.

Each item has a question followed by two statements, I and II.

**Choose A.** If the question can be answered with the help of statement I alone but not statement II alone

** Choose B. **If the question can be answered with the help of statement II alone but not statement I alone

**Choose C. ** If both, statement l and statement II are needed to answer the question, but neither of them alone can answer

**Choose D.** If each statement Alone is sufficient

**Choose E. ** If the question cannot be answered even with the help of both the statements

**1. ** What is the average weight of the three new team members who are recently included into the team?

I. The average weight of the team increases by 20 kg.

II. The three new men substitute earlier members whose weights are 64 kg, 75 kg and 66 kg.

(a) A

(b) B

(c) C

(d) D

(e) E

**2. ** If the selling price were to be increased by 10%, the sales would reduce by 10%. In what ratio would the profits change?

I. The cost price remains constant.

II. The cost price increased by 10%.

(a) A

(b) B

(c) C

(d) D

(e) E

**3. ** If 20 sweets are distributed among some boys and girls such that each girl gets 2 sweets and each boy gets 3 sweets, what are the numbers of boys and girls?

I. The number of girls is not more than 5.

II. If each girl gets 3 sweets and each boy gets 2 sweets, the number of sweets required for the children will still be the same.

(a) A

(b) B

(c) C

(d) D

(e) E

**4. ** A and B undertake a work involving digging a ditch, alternately for a day each. If A can dig a ditch in ‘a’ days and B can dig in ‘b’ days, will the work get done faster if A begins?

I. For a positive integer n, = 1.

II. b > a

(a) A

(b) B

(c) C

(d) D

(e) E

**5.** Is the distance from the office to home less than the distance from the cinema hall to home?

I. The time taken to travel from home to office is as much as the time taken from home to the cinema hall, both distances being covered without stopping.

II. The road from the cinema hail to home is bad and speed reduces, as compared to that on the road from home to the office.

(a) A

(b) B

(c) C

(d) D

(e) E

**6.** Is x + y – z + t even?

I. x + y + t is even.

II. t and z are odd.

(a) A

(b) B

(c) C

(d) D

(e) E

**7. ** What is the number x?

I. The LCM of x and 18 is 36.

II. The HCF of x and 18 is 2.

(a) A

(b) B

(c) C

(d) D

(e) E

**8. ** What is the length of rectangle ABCD?

I. Area of the rectangle is 48 square units.

II. Length of the diagonal is 10 units.

(a) A

(b) B

(c) C

(d) D

(e) E

**9. ** What is the first term of an arithmetic progression of positive integers?

I. Sum of the squares of the first and the second term is 116.

II. The fifth term is divisible by 7.

(a) A

(b) B

(c) C

(d) D

(e) E

**10. ** What is the price of bananas?

I. With $ 84, 1 can buy 14 bananas and 35 oranges.

II. If price of bananas is reduced by 50%, then we can buy 48 bananas for $ 12

(a) A

(b) B

(c) C

(d) D

(e) E

**Answers**

**1. ** (e) To calculate the average weight of the team of three newly recruited members we require the total number of members in the team to calculate the total increase in weight of the team. Hence, the questions cannot be answered even with the help of both the statements together.

**2. ** (b) Profit can be calculated as (S.P. – C.P.) Sale, hence

Original profit = (S.P. – C.P.) Sale and new profit = (1.1 S.P. – C.P.) 0.9 Sale

Hence, from statement (I) ratio of profit = From here we cannot calculate ratio of profits However, if we use statement (II) then ratio = Hence, statement (II) alone is sufficient to answer the question.

**3.** (b) Given 2G + 3B = 20. Now if we use statement (1) that number of girls is not more than 5, then we have G = 1, B = 6 OR G = 4, B = 4. Since we cannot get a single solution from this statement it is not sufficient to answer the question. If we use statement (II) 3B + 2G = 20 we have G = 4 and B = 4.

Hence, statement (II) alone is sufficient to answer the question.

**4. ** (a) From statement (I) now it is important to note here that n is an integer hence values of a and b have to be assigned in such a way that n is an integer. It means that number of days in which the entire work is to be finished should be an integer. Suppose if a = 2 and b = 3 then whosoever starts the work, number of days to complete the work would be same. If n is not an integer, the situation would be entirely different. Hence, statement (I) alone is sufficient to answer the question.

**5.** (c) From statement (I) alone we cannot compare the distance between office to home with that of cinema hall to home because speed of both ways is not given. However in statement (II) it is given that speed from cinema hail to home is less as compared to that of office to home. Hence, we conclude that distance between home to cinema hall is more.

**6.** (c) From (I), if (x + y + t) is even, then (x + y + t) – z can be even or odd depending upon whether z is even or odd. However if we know that z is odd, then (x +y + t) – z will always be odd. Hence both the statements (I) and (II) are needed to answer the question.

**7. ** (c) From (I) and (II) LCM HCF = First number second number.

Hence required number = = 4. Hence both the statements are required.

**8. ** (c) From (I) we get L B = 48. From (II) we get L2 + B2 = 100. Hence from (I) and (II) we can find L (length) of the rectangle. Hence, both the statements are required to answer the question.

**9.** (a) It is given in statement (I) that sum of squares of the first and second term is 116 and there exist two such numbers only 4 and 10 such that (4)2 + (10)2 = 116. Hence question can be answered with the help of statement (I) alone.

**10.** (b) From statement (II), it is very clear that the price of banana is (48/12 = $4). Hence, question can be answered with the help of statement (II) alone.

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