Correct option:
Set up a Direct Connect to each on-premises data center from different service providers and configure routing to failover to the other on-premises data center's Direct Connect in case one connection fails. Make sure that no VPC CIDR blocks overlap one another or the on-premises network
AWS Direct Connect links your on-premises data center to an AWS Direct Connect location over a standard Ethernet fiber-optic cable. One end of the cable is connected to your router, the other to an AWS Direct Connect router. With this connection, you can create virtual interfaces directly to public AWS services (for example, to Amazon S3) or to Amazon VPC, bypassing internet service providers in your network path. An AWS Direct Connect location provides access to AWS in the Region with which it is associated.
There are two types of Direct Connect connections:
Dedicated Connection: A physical Ethernet connection associated with a single customer. Customers can request a dedicated connection through the AWS Direct Connect console, the CLI, or the API. This supports speed of 1Gbps and 10Gbps.
Hosted Connection: A physical Ethernet connection that an AWS Direct Connect Partner provisions on behalf of a customer. Customers request a hosted connection by contacting a partner in the AWS Direct Connect Partner Program, who provisions the connection. This supports speed of 50Mbps, 100Mbps, 200Mbps, 300Mbps, 400Mbps, 500Mbps, 1Gbps, 2Gbps, 5Gbps, and 10Gbps.
https://docs.aws.amazon.com/directconnect/latest/UserGuide/Welcome.html
As the use-case requires a hybrid network architecture that is highly available and supports high bandwidth, therefore you should configure the Direct Connect based hybrid network to achieve maximum resiliency for critical workloads by using separate connections from different service providers that terminate on separate devices in more than one location.
https://docs.aws.amazon.com/directconnect/latest/UserGuide/maximum_resiliency.html
https://docs.aws.amazon.com/directconnect/latest/UserGuide/high_resiliency.html
Incorrect options:
Set up multiple hardware VPN connections between AWS cloud and the on-premises data centers. Configure each subnet's traffic through different VPN connections for redundancy. Make sure that no VPC CIDR blocks overlap one another or the on-premises network
Set up multiple software VPN connections between AWS cloud and the on-premises data centers. Configure each subnet's traffic through different VPN connections for redundancy. Make sure that no VPC CIDR blocks overlap one another or the on-premises network
A VPN connection refers to the connection between your VPC and your own on-premises network. Site-to-Site VPN supports Internet Protocol security (IPsec) VPN connections. VPNs on AWS come in three flavours: hardware only, software only and a mix of hardware/software. The hardware only VPN uses a hardware VPN device to connect the virtual private gateway on the AWS end to a customer VPN gateway on the customers end, via IPsec VPN tunnels.
Hardware only VPNs include both the AWS managed AWS Site-to-Site VPN solution and the AWS VPN CloudHub.
You can also create a VPN connection to your remote network by using an Amazon EC2 instance in your VPC that's running a third party software VPN appliance.
The limitation with both options is that VPNs do not support high bandwidth data transfer as these operate over the public internet infrastructure. VPN Connections are a good solution if you have an immediate need, and have low to modest bandwidth requirements.
https://docs.aws.amazon.com/vpc/latest/userguide/vpn-connections.html
Set up a Direct Connect as primary connection for all on-premises data centers with another VPN as backup. Configure both connections to use the same virtual private gateway and BGP. Make sure that no VPC CIDR blocks overlap one another or the on-premises network - This option has been added as a distractor as you cannot have just one Direct Connect connection for multiple on-premises data centers that are in different locations. Also having a VPN as a backup does not provide a high-bandwidth and high-availability fallback option.
References:
https://docs.aws.amazon.com/directconnect/latest/UserGuide/Welcome.html
https://docs.aws.amazon.com/directconnect/latest/UserGuide/maximum_resiliency.html
https://docs.aws.amazon.com/vpc/latest/userguide/vpn-connections.html
https://medium.com/@datapath_io/aws-direct-connect-vs-vpn-vs-direct-connect-gateway-97900cdf7d04