Data Sufficiency problems
- 1. In what proportion would Raj, Karan and Altaf distribute profit among them ? I. Raj gets two-fifth of the profit. II. Karim and Altaf have made 75% of the total investment.
Options- A. If the data in statement I alone are sufficient to answer the question
- B. If the data in statement II alone are sufficient answer the question
- C. If the data either in I or II alone are sufficient to answer the question;
- D. If the data even in both the statements together are not sufficient to answer the question Discuss
Correct Answer: If the data even in both the statements together are not sufficient to answer the question
Explanation:
Even both the statements together are not sufficient to answer the question.
- 2. What will be the total weight of 10 poles each of the same weight ? I. One-fourth of the weight of a pole is 5 kilograms. II. The total weight of three poles is 20 kilograms more than the total weight of two poles.
Options- A. If the data in statement I alone are sufficient to answer the question
- B. If the data in statement II alone are sufficient answer the question
- C. If the data either in I or II alone are sufficient to answer the question;
- D. If the data even in both the statements together are not sufficient to answer the question Discuss
Correct Answer: If the data either in I or II alone are sufficient to answer the question;
Explanation:
From I, we find that the weight of one pole is (5 x 4) = 20 kg ,and so the weight of 10 poles is 200 kg.
Thus, I alone is sufficient.
From II. we have : (weight of 3 poles ? weight of 2 poles) -= 20 kg or weight of one pole - 20 kg.
So. weight of 10 poles 200 kg.
Thus. II alone is also sufficient
- 3. In a code, 'lee pee tin' means 'Always keep smiling'. What is the code for ? I. 'tin lut lee' means 'Always keep left'. II. 'dee pee' means 'Rose smiling.
Options- A. If the data in statement I alone are sufficient to answer the question
- B. If the data in statement II alone are sufficient answer the question
- C. If the data either in I or II alone are sufficient to answer the question;
- D. If the data even in both the statements together are not sufficient to answer the question Discuss
Correct Answer: If the data either in I or II alone are sufficient to answer the question;
Explanation:
Comparing the information in the question with I. we find that 'tin' and 'lee' are the codes for 'always' and 'keep'.
So. 'pee' represents 'smiling' Thus, I alone is sufficient Am.
comparing the information in the question with II, we find that the common code word 'pee' stands for the common word 'smiling'.
Thus, II alone is also sufficient
- 4. Manoj, Prabhakar, Mash and Kamal are four friends. Who among them is the heaviest '' I. Prabhakar is heavier than Manoj and Kamal but lighter than Akash. II.Manoj is lighter than Prabhakar and Mask but heavier than Kamal.
Options- A. If the data in statement I alone are sufficient to answer the question
- B. If the data in statement II alone are sufficient answer the question
- C. If the data either in I or II alone are sufficient to answer the question;
- D. If the data in both the statements together are needed. Discuss
Correct Answer: If the data in both the statements together are needed.
Explanation:
From I, we have, P > M, P > K, A > P.
From II we have, M > K, P > M, A > P.
Combining the above two, we have : A > P > M > K.
Thus, Akash is the heaviest. So, both the statements are required.
- 5. Each boy contribute rupees equal to the number of girls and each girl contribute rupees equal to the number of boys in a class of 60 students. If the total contribution collected is Rs.1600,how many girls are there in the class ?
Options- A. 30
- B. 25
- C. 15
- D. 40 Also asked in: CAT
Correct Answer: 40
- 6. First day of the month is Tuesday and Last day of the same month is Monday. Then which one will be that month ?
Options- A. January
- B. February
- C. March
- D. August Also asked in: Bank Exams, Bank PO
Correct Answer: February
Explanation:
We know that the day repeats after every seven days.
Given that first day of the month is Tuesday
i.e 1st - Tuesday
1+7 = 8 - Tuesday
8+7 =15- Tuesday
15+7=22-Tuesday
22+7=29-Tuesday
But given that last day of the same month is Monday
It is possible only in he month of Febuary with 28 days.
- 7. What day is the fourteenth of a given month I. The last day of the month is a Wednesday. II. The third Saturday of the month was seventeenth.
Options- A. If the data in statement I alone are sufficient to answer the question
- B. If the data in statement II alone are sufficient answer the question
- C. If the data either in I or II alone are sufficient to answer the question;
- D. If the data even in both the statements together are not sufficient to answer the question Discuss
Correct Answer: If the data in statement II alone are sufficient answer the question
Explanation:
Statement II reveals that 17th Was a Saturday and therefore, 14th was Wednesday So, only statement II is needed
- 8. Is Arun taller than Sachin ? I. Dinesh is of the same height as Arun and Sachin. II. Sachin is not shorter than Dinesh.
Options- A. If the data in statement I alone are sufficient to answer the question
- B. If the data in statement II alone are sufficient answer the question
- C. If the data either in I or II alone are sufficient to answer the question;
- D. If the data even in both the statements together are not sufficient to answer the question Discuss
Correct Answer: If the data in statement I alone are sufficient to answer the question
Explanation:
From statement I, we can conclude that Dinesh. Arun and Sachin are of the same height So. Arun is not taller than Sachin. Thus, only statement I is sufficient to answer the question. .
- 9. When is Manohar's birthday this year ? I. It is between January 13 and 15, January 13 being Wednesday. II. It is not on Friday.
Options- A. If the data in statement I alone are sufficient to answer the question
- B. If the data in statement II alone are sufficient answer the question
- C. If the data either in I or II alone are sufficient to answer the question;
- D. If the data even in both the statements together are not sufficient to answer the question Discuss
Correct Answer: If the data in statement I alone are sufficient to answer the question
Explanation:
From statement I, we conclude that Manohar's birthday is on January 14. which is Thursday. this year.
So, only I is needed.
- 10. 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
Options- A. If the data in statement I alone are sufficient to answer the question
- B. If the data in statement II alone are sufficient answer the question
- C. If the data either in I or II alone are sufficient to answer the question;
- D. If the data even in both the statements together are not sufficient to answer the question Discuss
Correct Answer: If the data even in both the statements together are not sufficient to answer the question
Explanation:
From the two statements, we find that maximum (243 x 3) i.e, 729 visitors saw the exhibition, But the exact number cannot be determined
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