Statement and Conclusion problems
- 1. Question : In a cricket team, the average age of eleven players in 28 years. What is the age of the captain? Statements : a. The captain is eleven years older than the youngest player. b. The average age of 10 players, other than the captain is 27.3 years. c. Leaving aside the captain and the youngest player, the average ages of three groups of three players each are 25 years, 28 years and 30 years respectively.
Options- A. All a,b and c follows
- B. Only a and c follows
- C. Either b alone or a & b follows
- D. None Also asked in: AIEEE, Bank Exams, CAT, GATE, GRE, TOEFL, Analyst, Bank Clerk, Bank PO, IT Trainer
Correct Answer: Either b alone or a & b follows
Explanation:
From statement (b)
Average of 11 players = 11 x 28 = 308
Average of 10 players = 10 x 27.3 = 273
Age of captain = 308 - 273 = 35.
From the Statement (a) we can say that captain's age (C) = y + 11 ...(1) where y-youngers age
From the statement (c),the averge age of 3groups of 3players each was given,
It means total 9 players age was given indirectly,
1st group: 25 x 3 = 75
2nd group: 28 x 3 = 84
3rd group: 30 x 3 = 90
Total is 75 + 84 + 90 = 249
Now {C + Y + (9 players age sum)}/11 = 28
Y + 11 + Y + (249) = 28 x 11=308
2Y+260=308
2Y = 308-260 = 40 ==> Y=24 ==> C(captain's age)= Y+11 = 24+11 = 35
Therefore, statement b alone or a & c only is the answer.
- 2. Statements : All kids are God. No God is a Human. Some Human are Son. All Son are Men. Conclusions : (a) Some Son are not God. (b) Some Men are Human.
Options- A. Only A follows
- B. Only B follows
- C. Both (A) and (B) follows
- D. Neither (A) nor (B) follows Also asked in: GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk
Correct Answer: Both (and (follows
- 3. Study the question and all the three statements given and decide whether any information provided in the statements are redundand and can be dispensed with while answering the questions. Question : What is the rate of interest per year ? Statements : 1. The amount invested is Rs. 6000. 2. The amount becomes Rs. 6741.60 in 2 years at compound interest. 3. The difference between compound interest and simple interest in 2 years is Rs. 21.60.
Options- A. Only 3
- B. Both 2 & 3
- C. Any two of (1, 2 & 3)
- D. None Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: Any two of (1, 2 & 3)
Explanation:
Using Both 1 & 2 statements we get the rate of interest as in (1) we have given principle amount and in (2) compound interest for 2 years. By this data we get the rate%.
Using Both 1 & 3 statements we can get the rate% as we have principle amount & difference between compound interest and simple interest in 2 years.
Using Both 2 & 3 statements we get compound interest & simple interest by which we get principle amount. So that we can calculate %rate.
Hence by using any two of the three statements(1,2&3) we get rate of interest.
- 4. In each question given below four conclusions are followed by statements. You have to take the three given statements to be true (even if they seem to be at variance from the commonly known facts). Read the conclusions and decide which of the following set of statement indicate that conclusion is logically follows. Statements : 1. All chairs are tents. 2. No chairs is jugs. 3. No jugs is glasses. 4. No glasses is pots. Conclusions : I. All pots are tents. II. All glasses are chair. III. Some jugs are tents.
Options- A. Only conclusion I follows
- B. Both conclusion II & III follows
- C. None follows
- D. Only conclusion II follows Also asked in: TOEFL, GRE, GATE, CAT, Bank Exams, AIEEE, IT Trainer, Database Administrator, Bank PO, Bank Clerk, Analyst
Correct Answer: None follows
- 5. If banana is apple, apple is grapes, grapes is mango, mango is nuts, nuts is guava, which of the following is a yellow fruit ?
Options- A. Grapes
- B. Mango
- C. Nuts
- D. Guava Also asked in: Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: Nuts
- 6. Looking for a job is difficult enough, the task becomes impossible if you do not have the skill of being pleasant, polite and polished. Conclusions : I. A person who has social etiquetteis eligible for any job II. Many candidates no matter how excellently qualified are likely to fail to get the jobs they are going to try for because of their manners.
Options- A. If only conclusion I follows
- B. If only conclusion II follows
- C. If neither I nor II follows
- D. If both I and II follow Discuss
Correct Answer: If only conclusion II follows
Explanation:
I does not follow because it considers the qualities expressed in the statement sufficient for the eligibility of a job. II follows obviously.
- 7. In the following question, two equations numbered 1 and 2 are given. You have to solve both the equations and determine the relation between a and b. 1. 5a2-18a+9=0 2. 3b2+5b-2=0
Options- A. a >= b
- B. a <= b
- C. a < b
- D. a > b Also asked in: GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk
Correct Answer: a > b
Explanation:
From solving 1 and 2 we get,
1.
5a(a-3)-3(a-3) = 0
(5a-3)(a-3) = 0
a = 3 or 3/5
2.
3b(b+2)-1(b+2) = 0
b = -2 or b = 1/3
Here when a = 3, a > b for b = -2 and b = 1/3
when a = 3/5. a > b for b = -2 and b = 1/3.
Hence, it is clear that a > b.
- 8. All flowers are toys. Some toys are trees. Some angels are trees Conclusions: 1. Some angels are toys 2. Some trees are flowers 3. Some flowers are angels
Options- A. None follows
- B. Only 1 follows
- C. Only 2 follows
- D. Only 1 and 3 follow Discuss
Correct Answer: None follows
Explanation:
All flowers are toys. Some toys are trees
Since the middle term 'toys' is not distributed even once in the premises,no definite conclusion follows.
Some toys are trees. Some angels are trees
Since both premises are particular,no definite conclusion an be drawn
- 9. Gold demand has fallen in the first half due to rising prices and the trend is likely to continue in the second half. Conclusions : I. Customers are very price-sensitive II. There will be no improvement in demand in the second half
Options- A. If only conclusion I follows
- B. If only conclusion II follows
- C. If neither I nor II follows
- D. If both I and II follow Discuss
Correct Answer: If only conclusion I follows
Explanation:
Fall of demand of gold is due to rising prices. Hence, I can be concluded. II cannot be concluded from the given statement.
- 10. Statements : In a recent survey report, it has been stated that those who undertake physical exercise for at least half an hour a day are less prone to have any heart ailments. Conclusions : a) Moderate level of physical exercise is necessary for leading a healthy life. b) All people who do desk-bound jobs definitely suffer from heart ailments.
Options- A. Only a follows
- B. Both a & b follows
- C. Only b follows
- D. Neither a nor b follows Also asked in: AIEEE, Bank Exams, CAT, GATE, GRE, TOEFL, Analyst, Bank Clerk, Bank PO
Correct Answer: Only a follows
Explanation:
The statement mentions that chances of heart ailments are greatly reduced by a regular half-hour exercise. So, a follows. However, it talks of only reducing the probability which does not mean that persons involved in sedentary jobs shall definitely suffer from heart ailments. So, b does not follow.
Hence, concusion a only follows the given statement.
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