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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. Statement: Most people who stop smoking gain weight.
Assumptions:
- If one stops smoking, one will gain weight.
- If one does not stop smoking, one will not gain weight.
Options- A. Only assumption I is implicit
- B. Only assumption II is implicit
- C. Either I or II is implicit
- D. Neither I nor II is implicit
- E. Both I and II are implicit Discuss
- 2. Statement: The concession in rail fares for the journey to hill stations has been cancelled because it is not needed for people who can spend their holidays there.
Assumptions:
- Railways should give concession only to needy persons.
- Railways should not encourage people to spend their holidays at hill stations.
Options- A. Only assumption I is implicit
- B. Only assumption II is implicit
- C. Either I or II is implicit
- D. Neither I nor II is implicit
- E. Both I and II are implicit Discuss
- 3. Statement: India's economic growth has come at a terrible price of increased industrial and vehicular pollution.
Assumptions:
- Pollution is a part of industrial society.
- Indian economic growth is based on only industrial growth.
- A country desires economic growth with manageable side effects.
Options- A. Only I is implicit
- B. Only II is implicit
- C. Only III is implicit
- D. Only I and III are implicit
- E. None of these Discuss
- 4. Guide is to direct as reduce is to
Options- A. decrease
- B. maintain
- C. increase
- D. preserve Discuss
- 5. Children are in pursuit of a dog whose leash has broken. James is directly behind the dog. Ruby is behind James. Rachel is behind Ruby. Max is ahead of the dog walking down the street in the opposite direction. As the children and dog pass, Max turns around and joins the pursuit. He runs in behind Ruby. James runs faster and is alongside the dog on the left. Ruby runs faster and is alongside the dog on the right. Which child is directly behind the dog?
Options- A. James
- B. Ruby
- C. Rachel
- D. Max Discuss
- 6. Apartments in the Riverdale Manor cost less than apartments in The Gaslight Commons.
Apartments in the Livingston Gate cost more than apartments in the The Gaslight Commons.
Of the three apartment buildings, the Livingston Gate costs the most.
If the first two statements are true, the third statement is
Options- A. true
- B. false
- C. uncertain Discuss
- 7. Statement: "You must learn to refer to dictionary if you want to become a good writer." - A advises B.
Assumptions:
- Only writers refer to the dictionary.
- All writers, good or bad, refer to the dictionary.
Options- A. Only assumption I is implicit
- B. Only assumption II is implicit
- C. Either I or II is implicit
- D. Neither I nor II is implicit
- E. Both I and II are implicit Discuss
- 8. Statement: One of the problems facing the food processing industry is the irregular supply of raw material. The producers of raw material are not getting a reasonable price.
Courses of Action:
- The government should regulate the supply of raw material to other industries also.
- The government should announce an attractive package to ensure regular supply of raw material for food processing industry.
Options- A. Only I follows
- B. Only II follows
- C. Either I or II follows
- D. Neither I nor II follows
- E. Both I and II follow Discuss
- 9. Here are some words translated from an artificial language.
granamelke means big tree
pinimelke means little tree
melkehoon means tree house
Which word could mean "big house"?
Options- A. granahoon
- B. pinishur
- C. pinihoon
- D. melkegrana Discuss
- 10. domicile
Options- A. tenant
- B. dwelling
- C. kitchen
- D. house Discuss
More questions
Correct Answer: Neither I nor II is implicit
Explanation:
The statement talks of most people' and not 'all'. So, I is not necessarily true. Thus, I is not implicit. The condition, if one does not stop smoking, cannot be deduced from the statement. So, II is also not implicit.
Correct Answer: Only assumption I is implicit
Explanation:
The statement mentions that concessions should not be given to people who can afford to spend holidays in hill stations. This means they should be given only to needy persons. So, I is implicit. But, II does not follow from the statement and is not implicit.
Correct Answer: Only I and III are implicit
Explanation:
The statement mentions that India had to pay the price of increased pollution level to earn its economic growth. So, both I and III are implicit. However, this does not imply that only industrial growth has brought about India's economic growth. So, II is not implicit.
Correct Answer: decrease
Explanation:
Guide and direct are synonyms, and reduce and decrease are synonyms. The answer is not choice b or d because neither means the same as reduce. (Choice c) is incorrect because increase is the opposite of reduce.
Correct Answer: Max
Explanation:
After all the switches were made,Max is directly behind the dog, James is alongside the dog on the left, Ruby is alongside the dog on the right, and Rachel is behind Max.
Correct Answer: true
Explanation:
Since the Gaslight Commons costs more than the Riverdale Manor and the Livingston Gate costs more than the Gaslight Commons, it is true that the Livingston Gate costs the most.
Correct Answer: Neither I nor II is implicit
Explanation:
It does not follow from the statement that only writers and nobody else refers to the dictionary. Also, nothing is mentioned about bad writers. So, neither I nor II is implicit.
Correct Answer: Only II follows
Explanation:
Clearly, to remedy the problem of food processing industry, a regular supply of raw material should be ensured. So, course II follows.
Correct Answer: granahoon
Explanation:
Grana means big;melkemeans tree; pini means little; hoonmeans house. Therefore, granahoon means big house.
Correct Answer: dwelling
Explanation:
A domicile is a legal residence, so dwelling is the essential component for this item. You do not need a tenant (choice a) in the domicile, nor do you need a kitchen (choice c). A house (choice d) is just one form of a domicile (which could also be a tent, hogan, van, camper, motor home, apartment, dormitory, etc.).
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