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- Question
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
- Correct Answer
- a > b
ExplanationFrom 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.
- 1. 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
- 2. 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 Discuss
- 3. 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 Discuss
- 4. 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 Discuss
- 5. 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 Discuss
- 6. 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
- 7. 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
- 8. 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 Discuss
- 9. Fact 1: All hats have brims. Fact 2: There are black hats and blue hats. Fact 3: Baseball caps are hats. If the first three statements are facts, which of the following statements must also be a fact? I. All caps have brims. II. Some baseball caps are blue. III. Baseball caps have no brims.
Options- A. I only
- B. II only
- C. I, II, and III
- D. None of the statements is a fact. Discuss
- 10. Statement : The byproducts obtained from animals such as hairs, skins, horns, etc. contain at least 45 per cent food protein. Indian scientists have developed methods to segregate 50 per cent of this protein. They have used an enzyme developed in Russia for destruction of soya-proteins. Conclusions: A. Indian scientists cannot develop enzymes. B. If a suitable method involving less cost is developed then many more food protein would be obtained.
Options- A. Only A follows
- B. Only B follows
- C. Neither A nor B follows
- D. Both A & B follows Discuss
Statement and Conclusion problems
Search Results
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.
Correct Answer: Nuts
Correct Answer: None follows
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.
Correct Answer: Both (and (follows
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
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.
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.
Correct Answer: None of the statements is a fact.
Explanation:
All baseball caps have brims, since baseball caps are hats (Fact 3) and all hats have brims (Fact 1). This rules out statement III?but it doesn?t follow that all caps, a category that may include caps that are not baseball caps, have brims (statement I). Statement II cannot be confirmed, either, since it is possible, given the information, that all baseball caps are black.
Correct Answer: Neither A nor B follows
Explanation:
There is no indication that Indian scientists are incapable of developing enzymes. There could be any number of reasons why Indian scientists used Russian enzymes.
So conclusion A does not follow.
In addition, cost is not discussed in the passage at all. There is no mention of a correlation between cost and extraction of proteins.
Thus, conclusion B does not follow either.
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