Data Sufficiency problems
- 1. How many sons does X have ? I. Q and U are brothers of T. II. R is sister of P and U. III. R and T are daughters of X.
Options- A. I and 11 only
- B. I, II and III together
- C. II and III together
- D. I, II and III together are not sufficient Discuss
Correct Answer: I, II and III together are not sufficient
Explanation:
The information given in the three statements together is also not sufficient to answer the given question.
- 2. How many brothers does Tarun have ? I. Tarun's father has three children. II. Tarun has two sisters.
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 both the statements together, we find that Tarun's father has three children ? Tarun and his two sisters This means that Tarun has no brother.
So, both I and II are needed.
- 3. In the last month the company decided to increase the cost of its mixer by 10 percent. What is the present price of the mixer? I. The cost of mixer and juicer together was Rs 2850 a month ago. II. The amount of 10% increase on the mixer comes to Rs 220.
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:
The present price of the mixer can he calculated from statement II as follows
Let the earlier price be Rs x.
Then, 10% of x = 220 or x = 2200. Present price = Rs (2200 + 220) = Rs 2420.
So, only II is needed.
- 4. How much amount Ronnie required to pay for the new car in the buy-back scheme ? I. The cost of the new car was three times the cost price of his old car. II. His old car was valued at Its 25000 under buy-back scheme.
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 both the statements together, we conclude that the price of the new car is Rs (25000 * 3) i.e. Rs 75000
So, Ronnie had to pay Rs (75000 - 25000) i.e. Its 50000.
Thus, both I and II are required
- 5. In a certain language, 'pit nac mit' means 'red pant shirt'. Which word means 'pant' in that language ? I. 'mit tim nac sir' means 'he wore red pant'. II. 'nee jic pit' means 'shirt is dirty'.
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:
Clearly, from each of the statements, we find that the code for 'pant is either 'mit' or 'nee'.
So, none of them is sufficient to answer the question.
- 6. How many new year's greeting cards were sold this year in your shop ? I. Last year 2935 cards were sold. II. The number of cards sold this year was 1.2 times that of last year
Options- A. If the data in statement I alone are sufficient to answer the question i
- 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 both the given statements, we find that the number of cards sold this year (2935 x 1.2) = 3522.
S0. both I and II together are required.
- 7. In a certain code language, '297' means 'tie clip button'. Which number means 'button' ? I. In that language '926' means 'clip your tie'. II. In that language '175' means 'hole and button'.
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 statement 1. we find that '2' and '9' are the codes for 'tie' and 'dip'. So, '7' represents 'button'.
Thus, I alone iS sufficient.
Again, comparing the information in the question with II, WO find that the common code number '7' stands for the common word 'button'.
Thus, II alone also is sufficient.
- 8. How is B related to A ? I. A is B's sister. II. is the father of A and B.
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 statements I and II together, we can conclude only that either B is the sister or brother of A.
So, even from both the statements, the exact relation cannot be known.
- 9. Pradeep correctly remembers that his mother's is before twenty third February but after ninteenth February, whereas his brother correctly remembers that their mother's birthday is not on or after twentysecond February. On which day in February is definitely their mother's birthday ?
Options- A. 20 or 21
- B. 20
- C. 21
- D. None Also asked in: AIEEE, Bank Exams, CAT, GATE, GRE, Analyst, Bank Clerk, Bank PO
Correct Answer: 20 or 21
Explanation:
According to Pradeep : 20,21 or 22...(1)
According to his brother : not 22....(2)
From (1)&(2), the birthday falls on February 20 or 21.
- 10. Who is C's partner in a game of cards involving four players A. B, C and D ? I. D is sitting opposite to A. II. B is sitting right of A and left of D.
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:
Clearly, each of the given statements shows that B is sitting opposite to C or B is the partner of C.
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