Explanation
Standalone mode uses only a single executor per worker per application.
This is correct and a limitation of Spark's standalone mode.
Standalone mode is a viable solution for clusters that run multiple frameworks.
Incorrect. A limitation of standalone mode is that Apache Spark must be the only framework running on the cluster. If you would want to run multiple frameworks on the same cluster in parallel, for example Apache Spark and Apache Flink, you would consider the YARN deployment mode.
Standalone mode uses a single JVM to run Spark driver and executor processes.
No, this is what local mode does.
Standalone mode is how Spark runs on YARN and Mesos clusters.
No. YARN and Mesos modes are two deployment modes that are different from standalone mode. These modes allow Spark to run alongside other frameworks on a cluster. When Spark is run in standalone mode, only the Spark framework can run on the cluster.
Standalone mode means that the cluster does not contain the driver.
Incorrect, the cluster does not contain the driver in client mode, but in standalone mode the driver runs on a node in the cluster.
More info: Learning Spark, 2nd Edition, Chapter 1

Explanation
Pay attention here to which variables are quoted. fileSchema is a variable and thus should not be in quotes.
parquet is not a variable and therefore should be in quotes.
SparkSession.read (here referenced as spark.read) returns a DataFrameReader which all subsequent calls reference - the DataFrameReader is not callable, so you should not use parentheses here.
Finally, there is no open method in PySpark. The method name is load.
Static notebook | Dynamic notebook: See test 1

Explanation
Correct code block:
transactionsDf.write.format("parquet").partitionBy("storeId").save("/FileStore/transactions_split") More info: partition by - Reading files which are written using PartitionBy or BucketBy in Spark - Stack Overflow Static notebook | Dynamic notebook: See test 1

Explanation
Output of correct code block:
+---------+-------+
|predError|storeId|
+---------+-------+
| 3| 25|
+---------+-------+
This question is difficult because it requires you to understand different kinds of commands and operators. All answers are valid Spark syntax, but just one expression returns a single-row DataFrame.
For reference, here is what the incorrect answers return:
transactionsDf.filter((col("storeId")!=25) | (col("productId")==2)) returns
+-------------+---------+-----+-------+---------+----+
|transactionId|predError|value|storeId|productId| f|
+-------------+---------+-----+-------+---------+----+
| 2| 6| 7| 2| 2|null|
| 4| null| null| 3| 2|null|
| 5| null| null| null| 2|null|
| 6| 3| 2| 25| 2|null|
+-------------+---------+-----+-------+---------+----+
transactionsDf.where(col("storeId").between(3,25)) returns
+-------------+---------+-----+-------+---------+----+
|transactionId|predError|value|storeId|productId| f|
+-------------+---------+-----+-------+---------+----+
| 1| 3| 4| 25| 1|null|
| 3| 3| null| 25| 3|null|
| 4| null| null| 3| 2|null|
| 6| 3| 2| 25| 2|null|
+-------------+---------+-----+-------+---------+----+
transactionsDf.where(col("value").isNull()).select("productId", "storeId").distinct() returns
+---------+-------+
|productId|storeId|
+---------+-------+
| 3| 25|
| 2| 3|
| 2| null|
+---------+-------+
transactionsDf.select("productId", "storeId").where("storeId == 2 OR storeId != 25") returns
+---------+-------+
|productId|storeId|
+---------+-------+
| 2| 2|
| 2| 3|
+---------+-------+
Static notebook | Dynamic notebook: See test 2

Explanation
This question targets your knowledge about how to chain filtering conditions. Each filtering condition should be in parentheses. The correct operator for "or" is the pipe character (|) and not the word or. Another operator of concern is the equality operator. For the purpose of comparison, equality is expressed as two equal signs (==).
Static notebook | Dynamic notebook: See test 2