You are given the task of moving a legacy application from a virtual machine running inside your datacenter to an Amazon VPC. Unfortunately, this app requires access to several on-premises services, and no one who configured the app still works for your company. Even worse, there’s no documentation for it. Which of the following options can help you to move the application from on-premises to VPC?

Answer options:

A.An AWS Direct Connect link between the VPC and the datacenter network.
B.An Internet Gateway to allow a VPN connection.
C.An Elastic IP address on the VPC instance.
D.An IP address space that does not conflict with the one on-premises.
E.Configure Route-53 resolver and make entries in Amazon Route 53 that allow the Instances to resolve its dependencies’ IP addresses.
F.A VM Import of the current virtual machine.

Answer: A, D, E and F
The scenario requires you to connect your on-premise server/instance with Amazon VPC. When such scenarios are presented, always think about Direct Connect, VPN, and VM Import and Export as they help either connect the instances from a different location or import them from one location to another.
Option A is CORRECT because Direct Connect sets up a dedicated connection between on-premises data-center and Amazon VPC and provides you with the ability to connect your on-premise servers with the instances in your VPC.Option B is incorrect as you normally create a VPN connection based on a customer gateway and a virtual private gateway (VPG) in AWS. 
Option C is incorrect as EIPs are not needed as the instances in the VPC can communicate with on-premise servers via their private IP address.
Option D is CORRECT because there should not be a conflict between the IP address of on-premise servers and the instances in VPC for them to communicate.
Option E is CORRECT because we need to configure Route-53 resolver to forward queries via Direct Connect to the On-Prem DNS server. Route 53 alone will not be able to move the application from on-premises to VPC.Option F is CORRECT because the VM Import Export service helps you import the virtual machine images from the data center to the AWS platform as EC2 instances and export them back to your on-premises environment. This offering allows you to leverage your existing investments in the virtual machines that you have built to meet your IT security, configuration management, and compliance requirements by bringing those virtual machines into Amazon EC2 as ready-to-use instances. Once the VM import is done. Then the application running inside the VPC can reach out to on-premises services.
Note:
VMWare import can help us moving machines from on-premise to ec2 instances inside VPC.Recently there is an announcement from AWS regarding Route53 Support for resolving on-premise dependency:
https://aws.amazon.com/about-aws/whats-new/2018/11/amazon-route-53-announces-resolver-with-support-for-dns-resolution-over-direct-connect-and-vpn/
As you know, the latest features/announcements take around 6 months to get reflected in the actual exam.