What is the first term of an arithmetic progression of positive integers ?

(I) Sum of the squares of the first and the second term is 116.

(II)The fifth term is divisible by 7.

Consider the given argument and decide which of the given assumptions is/are implicit in the argument.

Argument:
The campaign of 'Swachh Bharat', keep your cities clean, started by the apartment association did not bring much response from its residents.

Assumptions:
1. Residents do not wish to keep their apartment clean.
2. The association had failed in the capaign.

In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.

Statements:
(I) Some notes are coins.
(II) No coin is a card.

Conclusion:
(I) All cards can be notes.
(II) Some notes are neither coins nor cards.

In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.

Statement:
(I) 28 athletes are facing legal cases due to doping incidents.
(II) The new wave of Olympic doping cases is based on evidences.

Conclusions:
(I) The report of doping is based on the test that happen.
(II) Doping practice is very common these days among athletes.

Which of the following symbols should replace the sign (@) and (%) respectively in the given expression in order to make the expression L ≥ U and R > J definitely true?

L ≥ K ≥ P = N = J @ U ≤ A % R

 Which of the following will be definitely true if the given expression T≥U≥M=N<J=P<Q≤R is definitely true? 

Which of the following statements is/are true/false about speed of sound in different media at 25 °C ?
A. In oxygen gas, the speed of sound is 316 km/s.
B. In water (distilled), the speed of sound is 1498 km/s

You are given a question and two statements. Identify which of the statements is/are necessary/sufficient to answer the question.

Question:
What is the colour of Jasmine?

Statements:
I. Blue is called white, white is called red and red is called yellow.
II. Yellow is called purple, purple is called black, white is called brown and brown is called orange.

Read the following statement and the arguments that follow. Decide which of the arguments is strong.

Statement:
Should written examination in primary schools be abolished?

Arguments:
1. Yes, young students feel the burden and such examinations do not help in the natural thinking process.
2. No, without examination students will not be serious about education and learning.