A: I am skeptical of what the applicant said. Maybe he cheated us.

我怀疑那位应征者说的，也许他欺骗了我们。

B: I checked out his story, ____________________.

我核实过他所讲的事情，她诚实无欺。

on the up and up

1. 解释

On the up and up有2个意思。第一个表示“光明正大，诚实可靠，老实无欺”，用来描绘一个人非常诚实，值得信赖。第二个表示“越老越好，步步向上”，用于描述生活，健康，事业，经济等情况。

2. 例句

e.g. She's always been on the up and up and I don't think she would have done such a thing.

她是个正直的姑娘，因此我相信她不会干出那种事。

e.g. You can take his word for it. He has always been on the up and up.

你可以相信他的话, 他一向老实可靠。

e.g. Those who're on the up and up would feel guilty for having done such a thing

正直的人做出这们的事一定会感到内疚的。

e.g. How can we know whether a person is on the up and up by his appearance!

从一个人的外表我们怎么能知道他是坦率的呢!

Ps 1：be skeptical of 表示“怀疑……”。例如：

We all are skeptical of the new claim.

我们所有人对这一新说法持怀疑态度。

Mary is skeptical of everything they hear.

Mary对耳朵里听进的东西都持怀疑态度。

Ps 2：check out的意思是“核实，检查，核查”。例如：

Maybe we ought to go down to the library and check it out.

或许我们应该去趟图书馆，查个明白。

We ought to check him out on the computer.

我们理应在电脑上查清他的资料。

The police had to check out the call.

警方不得不追查那通电话。