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DS: CAT 2004: Part 3
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Problems on Data sufficiency from CAT 2004 paper.

Riya Agarwal is teaching live on Unacademy Plus

Riya Agarwal
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  1. 2 DATA SUFFICIENCY g0 Ou 45


  2. About Me . I hold a B.E degree in Electronics and Communication Engineering. . CAT, 18: DI & LR-99.59 %ile. You can follow me on Unacademy for complete preparation guide on DILR section for CAT and OMETs S.


  3. 2 DATA SUFFICIENCY g0 Ou 45


  4. CAT 2004


  5. Direction for questions 1 to 6: Each question is followed by two statements, A and B. Choose 1 if the question can be answered by using one of the statements alone but not by using the other statement alone. Choose 2 if the question can be answered by using either of the statements alone. Choose 3 if the question can be answered by using both statements together but not by either statement alone. Choose 4 if the question cannot be answered on the basis of the two statements.


  6. 1. Ravi spent less than Rs.75 to buy one kilogram each of potato, onion, and gourd. Which one of the three vegetables bought was the costliest? A: 2 kg potato and 1 kg gourd cost less than 1 kg potato and 2 kg gourd. B: 1 kg potato and 2 kg onion together cost the same as 1 kg onion and 2 kg gourd. 2. Tarak is standing 2 steps to the left of a red mark and 3 steps to the right of a blue mark. He tosses a coin. If it comes up heads, he moves one step to the right; otherwise he moves one step to the left. He keeps doing this until he reaches one of the two marks, and then he stops. At which mark does he stop? A: He stops after 21 coin tosses. B: He obtains three more tails than heads. 3. Nandini paid for an article using currency notes of denominations Re.l, Rs.2, Rs.5, and Rs.10 using at least one note of each denomination. The total number of five and ten rupee notes used was one more than the total number of one and two rupee notes used. What was the price of the article? A: Nandini used a total of 13 currency notes. B: The price of the article was a multiple of Rs. 10.


  7. 4. Four candidates for an award obtain distinct scores in a test. Each of the four casts a vote to choose the winner of the award. The candidate who gets the largest number of votes wins the award. In case of a tie in the voting process, the candidate with the highest score wins the award. Who wins the award? A: The candidates with top three scores each vote for the top scorer amongst the other three. B: The candidate with the lowest score votes for the player with the second highest score. 5. In a class of 30 students, Rashmi secured the third rank among the girls, while her brother Kumar studying in the same class secured the sixth rank in the whole class. Between the two, who had a better overall rank? A: Kumar was among the top 25% of the boys merit list in the class in which 60% were boys. B: There were three boys among the top five rank holders, and three girls among the top ten rank holders. 6. Zakib spends 30% of his income on his children's education, 20% on recreation and 10% on healthcare. The corresponding percentages for Supriyo are 40%, 25%, and 13%, who spends more on children's education? A: Zakib spends more on recreation than Supriyo. B: Supriyo spends more on healthcare than Zakib.


  8. 5. In a class of 30 students, Rashmi secured the third rank among the girls, while her brother Kumar studying in the same class secured the sixth rank in the whole class. Between the two, who had a better overall rank? A: Kumar was among the top 25% of the boys merit list in the class in which 60% were boys. B: There were three boys among the top five rank holders, and three girls among the top ten rank holders. Solution: Statement A: Nothing can be said. Statement B: Since there are 3 boys in the top 5 rank holders, the other two are girls and Rashmi is not one of them. As Kumar is ranked sixth, Rashmi is either seventh or below. Hence, statement II alone is sufficient. Answer: Option (1)


  9. 6. Zakib spends 30% of his income on his children's education, 20% on recreation and 10% on healthcare. The corresponding percentages for Supriyo are 40%, 25%, and 13%, who spends more on children's education? A: Zakib spends more on recreation than Supriyo. B: Supriyo spends more on healthcare than Zakib. Choose 1 if the question can be answered by using one of the statements alone but not by using the other statement alone. Choose 2 if the question can be answered by using either of the statements alone. Choose 3 if the question can be answered by using both statements together but not by either statement alone. Choose 4 if the question cannot be answered on the basis of the two statements.


  10. 6. Zakib spends 30% of his income on his children's education, 20% on recreation and 10% on healthcare. The corresponding percentages for Supriyo are 40%, 25%, and 13%, who spends more on children's education? A: Zakib spends more on recreation than Supriyo. B: Supriyo spends more on healthcare than Zakib. Solution: Let incomes of Zakib and Supriyo be Z and S respectively. Statement A: 20% of Z > 25% of z >-s Now, Zakib spent 30% of his income on education-> 30% of Z >--x-S From this we cannot say if 0.3 Z is greater than or less than 0.4S. Hence, statement A alone is not sufficient. 0.375 S Statement B: 13% of S > 10% of Z Multiplying both sides by 3, we get, 39% of S > 30 % of z so 40% of S is definitely more than 30% of Z. Hence, statement B alone is sufficient. Answer: Option (1)


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