If P = +, Q = –, R = ×, S = ÷, then insert the proper notations between the successive numbers in the equation 60_15_3_20_4=20:

The correct option is QRPS.

To solve this problem, we need to substitute the given symbols with their corresponding arithmetic operations and test the given sequence of operations.

The definitions of the symbols are as follows:

P = + (Addition)

Q = – (Subtraction)

R = × (Multiplication)

S = ÷ (Division)

We are given the numbers: 60 _ 15 _ 3 _ 20 _ 4 = 20

Let's substitute the operations corresponding to option QRPS (which means placing Q, R, P, and S sequentially between the numbers):

Expression: 60 Q 15 R 3 P 20 S 4

Replacing the letters with their mathematical symbols:

60 – 15 × 3 + 20 ÷ 4

Now, let's evaluate this expression step-by-step using the standard order of operations (BODMAS / PEMDAS):

Step 1: Perform Division (S)

20 ÷ 4 = 5

The expression becomes: 60 – 15 × 3 + 5

Step 2: Perform Multiplication (R)

15 × 3 = 45

The expression becomes: 60 – 45 + 5

Step 3: Perform Subtraction and Addition from left to right

60 – 45 = 15

15 + 5 = 20

Since the result is equal to 20, the correct sequence of notations to insert between the successive numbers is QRPS.