The Catholic Answer:
(14) Basing itself upon Sacred Scripture and Tradition, it teaches that the Church, now sojourning on earth as an exile, is necessary for salvation. Christ, present to us in His Body, which is the Church, is the one Mediator and the unique way of salvation. In explicit terms He Himself affirmed the necessity of faith and baptism and thereby affirmed also the necessity of the Church, for through baptism as through a door men enter the Church. Whosoever, therefore, knowing that the Catholic Church was made necessary by Christ, would refuse to enter or to remain in it, could not be saved.
(15) The Church recognizes that in many ways she is linked with those who, being baptized, are honored with the name of Christian, though they do not profess the faith in its entirety or do not preserve unity of communion with the successor of Peter.  For there are many who honor Sacred Scripture, taking it as a norm of belief and a pattern of life, and who show a sincere zeal. They lovingly believe in God the Father Almighty and in Christ, the Son of God and Savior. (15*) They are consecrated by baptism, in which they are united with Christ.
16. Finally, those who have not yet received the Gospel are related in various ways to the people of God. In the first place we must recall the people to whom the testament and the promises were given and from whom Christ was born according to the flesh. On account of their fathers this people remains most dear to God, for God does not repent of the gifts He makes nor of the calls He issues. But the plan of salvation also includes those who acknowledge the Creator.

In summary, Catholics teach that there is salvation only in or through the Catholic Church and its sacraments, or through some relation with the Church. It yet condenses to the long established dogma, Outside the Church there is no salvation. The key is in this: Whosoever, therefore, knowing that the Catholic Church was made necessary by Christ, would refuse to enter or to remain in it, could not be saved. 

Jesus exposes the error of this statement, and therefore of the entire Catholic doctrine of the Church and of salvation.
Was the Catholic Church made necessary by Christ?

No!

Does Jesus teach that the church is his body?

No!

Does Jesus teach that the Church is necessary to salvation?

No!

Does Jesus teach that the sacraments, baptism and eucharist, are necessary to salvation?

No!

There are assertions in the Catholic Answer that are true. Jesus did affirm the necessity of faith (but not of baptism). This is the power of a deception, that it mingles the Word of Truth with the words of men, including those of John Paul II who, endorsing Lumen Gentium, the statement from the Second Vatican Council, affirmed it as the authentic meaning of the  dogma, Outside the Church there is no salvation (Crossing the Threshold of Hope, pp. 141).

What must I do to be saved?  Last month I pointed to the true answer by setting the Great Principle of Jesus before us.  Let's see it again.  If anyone would come after me, let him renounce himself and take up his cross, and be following me. For whoever would save his psyche-life will lose it, but whoever loses his psyche-life because of me and the gospel will save it. Or, as the Fourth Gospel has it, The [one] philia-loving his psyche-life will lose it, and the [one] hating his psyche-life in this world will guard it to zoe-life eternal. We have it then, straight from the Master, that salvation is a matter of losing the psyche-life, which is life in the flesh, in order to save it for zoe-life, which is eternal life in the Spirit. Jesus uttered these words and then he bore his cross. I must take up my cross and follow him!  It is the only Way to the Father. Jesus came and died on his cross to lead us to the Father.
The Father wants all to be with Him in heaven.  He sent his Son to teach and show the Way for us to follow so that there can be no excuse.  The Father is so very merciful!   He stands ready to freely forgive every sin, provided only that we love Him (as he loves us) and have the genuine desire in our hearts to go to Him now!  The sin of sins is the love of life in this world (psuche), that drives us to save it by any means possible. The Prodigal Son is a paradigm of salvation, who needed only to repent and desire, in his heart, to "arise and go to my Father." Our Lord Jesus then made himself the living paradigm when he took up his cross and went to his Father saying, And no longer am I in the world, and they are in the world, and I come to you.  The Way of your cross leads home! 
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