Question

In the following question, different letters stand for various symbols as indicated below:
R: Addition
S: Subtraction
T: Multiplication
U: Division
V: Equal to
W: Greater than
X: Less than
Out of the four alternatives given only one is correct according to the above letter symbols. Identify the correct one.

• A. 16T2R4U6X8
• B. 16R2S4V6R8
• C. 16T2U4V6R8
• D. 16U2R4S6W8

Answer 1

The Correct Option is B

To solve the problem, we need to decode the symbolic representation given in the question and analyze each option based on these symbols:

The symbols stand for: 

• R: Addition (+)
• S: Subtraction (-)
• T: Multiplication (×)
• U: Division (÷)
• V: Equal to (=)
• W: Greater than (>)
• X: Less than (<)

Let's analyze each option according to the above symbols:

1. 16T2R4U6X8: This translates to \(16 \times 2 + 4 \div 6 < 8\).
2. 16R2S4V6R8: This translates to \(16 + 2 - 4 = 6 + 8\).
3. 16T2U4V6R8: This translates to \(16 \times 2 \div 4 = 6 + 8\).
4. 16U2R4S6W8: This translates to \(16 \div 2 + 4 - 6 > 8\).

Now, we evaluate each option:

• 16T2R4U6X8: Calculate \(16 \times 2 = 32\), \(32 + 4 = 36\), \(36 \div 6 = 6\). Finally, check \(6 < 8\), which is true.
• 16R2S4V6R8: Calculate \(16 + 2 = 18\), \(18 - 4 = 14\), and \(6 + 8 = 14\). So \(14 = 14\), which is true.
• 16T2U4V6R8: Calculate \(16 \times 2 = 32\), \(32 \div 4 = 8\), and \(6 + 8 = 14\). 8 is not equal to 14.
• 16U2R4S6W8: Calculate \(16 \div 2 = 8\), \(8 + 4 = 12\), \(12 - 6 = 6\). Finally, check \(6 > 8\), which is not true.

After evaluating all options, the correct one is 16R2S4V6R8 because it results in a valid equation: \(18 - 4 = 14\), which equals \(6 + 8 = 14\).