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Statement: Today I must satisfy myself only by looking at a pink headed duck in an encyclopaedia.
Assumptions:
Pink headed ducks are as good as extinct now.
People refer to encyclopaedia to know only about things which do not exist now.

Only assumption I is implicit
Only assumption II is implicit
Either I or II is implicit
Neither I nor II is implicit
Explanation:

Answer: Option A
Explanation:
Since the narrator talks of satisfying himself by just looking at a picture in encyclopaedia, it means that pink headed ducks are not to be seen alive. So, I is implicit. But II does not follow from the statement and is not implicit.
Additional Questions

Statement: The organization should promote employees on the basis of merit alone and not on the basis of length of service or seniority.
Assumptions:
Length of service or seniority does not alone reflect merit of an employee.
It is possible to determine and measure merit of an employee.

Answer

Statement: "But out of A, B, C and D products, you buy B which alone is based on the international technology."- A shopkeeper tells a customer.
Assumptions:
The customers normally accept the recommendation of the shopkeeper.
Use of international technology is supposed to ensure better quality standards.

Answer

Statement: "If you want to give any advertisement, give it in the newspaper X." - A tells B.
Assumptions:
B wants to publicise his products.
Newspaper X has a wide circulation.

Answer

Statement: Kartik left for Delhi on Tuesday by train to attend a function to be held on Friday at his uncles house in Delhi.
Assumptions:
Kartik may reach Delhi on Wednesday.
Kartik may reach Delhi before Friday.

Answer

Statement: "Avon Cycles - Fast, easy to ride, impressive, reliable, crafted and up-to-date automation." - An advertisement.
Assumptions:
There is no other cycle with any of these features.
People do not bother about the cost.

Answer

Statement: "Private property, trespassers will be prosecuted" - A notice on a plot of land.
Assumptions:
The passerby may read the notice and may not trespass.
The people are scared of prosecution.

Answer

Statement: "As there is a great demand, every person seeking tickets of the programme will be given only five tickets."
Assumptions:
The organizers are not keen on selling the tickets.
No one is interested in getting more than five tickets.

Answer

Statement: "Computer education should start at schools itself."
Assumptions:
Learning computers is easy.
Computer education fetches jobs easily.

Answer

Statement: If he is intelligent, he will pass the examination.
Assumptions:
To pass, he must be intelligent.
He will pass the examination.

Answer

Statement: Today I must satisfy myself only by looking at a pink headed duck in an encyclopaedia.
Assumptions:
Pink headed ducks are as good as extinct now.
People refer to encyclopaedia to know only about things which do not exist now.

Answer
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