CAT Data Sufficiency Questions and Answers Practice Set

Directions: 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 answer
(1) if 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;
(2) if 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
(3) if the data either in statement I alone or in statement II alone are sufficient to answer the question;
(4) if the data given in both the statements I and II together are not sufficient to answer the question
(5) If the data in both the statements I and II together are necessary to answer the question.

1. Which village is to the south-west of village Q?
I. Village P is to the west of Village N, which is to the east of village Q.
II. Village W is to the south of village N, which is to the west of village Q.

2. A box contains oranges, bananas and apples. How many apples are there in the box?
I. Of the hundred fruits in the box, fifty per cent constitute oranges and bananas together.
II. Fifty per cent of the fruits in the box are apples.

3. The area of a playground is 1600 square metres. What is its perimeter?
I. It is a perfect square playground.
II. It costs Rs 3200 to put a fence around the playground at the rate of Rs 20 per metre.

4. A, B, C and D made their project presentation, one on each day, on four consecutive days but not necessarily in that order. On which day did ‘C’ make his presentation?
I. The first presentation was made on 23rd, Tuesday and was followed by ‘D’s presentation.
II. ‘A’ did not make his presentation on 25th and one of them made his presentation, between A’s and B’s.

5. Three clubs x, y and z are taking part in three competitions. 3 marks are awarded to the winner, 2 marks to the 2nd ranker and 1 mark to the 3rd ranker in each competition.
Club y does not win any competition.
Club x wins exactly one competition.
How many points does club z earn?
I. Overall, club y gets more points than club x. in
II. Club y gets 2marks each in two of the 3 competitions.

6. What is Mona’s relationship with the person in the photograph?
I. Mona says, “The person in the photograph is the father of my brother’s brother-in-law.”
II. Mona has two brothers and the person in the photograph has two sisters.

7. Anand, Milan, Krishan, Shahul, Ramesh and Yousuf are sitting around a circular table. Who is sitting to the immediate left of Krishan?
I. Shahul is to the immediate right of Anand and Krishan is to the immediate left of Ramesh.
II. Yousuf is sitting third to the left of Milan.

8. There is a four-generation family. The total number of married couples is 5. There are 7 men and 7 women in the family. N is the great grandson of A. G is M’s uncle and I is unmarried. F is married. M and N are not siblings. M is C’s granddaughter. K, J and H, L are couples. How is A related to I?
I. A is the mother of C and D, who are married sisters.
II. E is the son-in-law of B. C has 2 nieces one married and one unmarried.

9. If DIFFERENT is written as INCLUNIVE and SANITATION is written as VMLXTLEVEM, and DYE is written as NCA in a certain coding system. What is the set of alphabets used to write DESTINY in that code?
I. O is written as T in that code.
II. T is written as V in that code.

10. In a ΔABC, AD, BE and CF are medians and the lengths of AB, BC and AC are three natural distinct numbers. What is the length of ED?
I. ΔABC is the triangle with smallest possible non-zero area.
II. ED is the smallest among the sides of the AEDF.

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11. What is the shortest distance between Devipur and Durgapur?
I. Durgapur is 20 km away from Rampur.
II. Devipur is 15 km away from Rampur.

12. In a certain code “al ed nop” means “We play chess”. Which code word means “chess”?
I. “id nim nop” means “We are honest”.
II. “gob ots al” means “They play cricket”.

13. What is the probability that the student who has passed is from B.Sc. part III?
I. The total number of students is equally distributed among the three classes – Part I, Part II and Part III.
II. The total number of students who passed is 570.

14. A family consists of 6 numbers A, B, C, D, E and F. How is A related to C?
I. F and E have two children C and D. B is the spouse of C and A is the uncle of D.
II. C and B have a daughter D, who is married to F, and a daughter-in-law E.

15. Among five friends A, B, C, D and E, who is the tallest?
I. A is taller than B but shorter than C.
II. D is shorter than A but taller than B.