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Verbal Reasoning Letters for Numbers

A Letters for Numbers question gives each letter a number. Then it gives you a sum written in letters. You work the sum out and answer with a letter.

Numbers in, letter out. Substitute first. Calculate second. Translate back last.

The five options are always A, B, C, D and E. So nothing is hidden in the options. Everything that can go wrong goes wrong in your working.

The method

Five beats: read the key, write the numbers on, work the sum, find the value and write its letter, check it back.

  1. Read the key first. Before you even look at the sum. Are the five values jumbled? Almost always.
  2. Write the numbers on. Put each value in small figures above its own letter, inside the sum. Do this once. Going back to the key halfway through is where mistakes come from.
  3. Work the sum. Ordinary arithmetic, reading only what you have written. Do × and ÷ before + and −.
  4. Find the value in the key and write its letter, not the number. Run your finger down the five numbers, look for your total, and answer with the letter beside it. The options are letters. If you are about to write 16, stop.
  5. Check it back. Take your letter to the key, put its value into the sum, and run it once more.

About 30 seconds each.

Your answer must be one of the five numbers in the key. If it is not, you have made a mistake. That is a guarantee, not a hope. Very few question types tell you when you have gone wrong.

💡 Worked example
If A = 4, B = 9, C = 13, D = 20, E = 36, what is the answer to this sum, written as a letter? A + B = [?]
How to answer

Rules to watch

Watch for these traps

If your total is not in the key, work through this rather than guessing:

  1. Believe the guarantee. The answer is always one of the five values. No option is missing.
  2. Re-copy the values above the letters. Reading one row off another is the most common slip here.
  3. Redo the arithmetic. Try it the other way round, × and ÷ first, then straight along the line.
  4. Check you have not quietly assumed A = 1.
  5. Work backwards. Take each of the five values in turn as the answer and see which makes the sum true. Never leave it blank.

Try these yourself

Now have a go yourself — tap the letter that is the answer.

✏️ Question 1
If A = 14, B = 6, C = 20, D = 9, E = 31, what is the answer to this sum, written as a letter? C − B = [?]
✏️ Question 2
If A = 3, B = 4, C = 7, D = 31, E = 52, what is the answer to this sum, written as a letter? B × C + A = [?]
✏️ Question 3
If A = 7, B = 8, C = 2, D = 45, E = 72, what is the answer to this sum, written as a letter? E ÷ B − C = [?]
✏️ Question 4
If A = 25, B = 6, C = 16, D = 54, E = 18, what is the answer to this sum, written as a letter? D ÷ B + A − C = [?]

Related

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