Introduction

Cryptarithms are mathematical puzzles where the digits are replaced by letters or symbols. Solving these puzzles requires deductive reasoning and logical thinking. Here’s a set of 20 verbal reasoning questions based on cryptarithms, tailored for 11+ assessment.

Sample Example

Example Problem:
Consider the equation:

\text{SEND} + \text{MORE} = \text{MONEY}

Where:

  • Each letter represents a different digit.
  • The first letter cannot be zero.

Question:

What digit does the letter S represent?

Solution:

To solve this, we can explore possible values systematically, keeping in mind the rules of addition and the fact that each letter corresponds to a unique digit.

Final Answer:
S = 9 (as a possible solution, with further calculations required to find all values).

Questions

Question 1

Problem:
Solve for the letters in the equation:

\text{COLD} + \text{WARM} = \text{FINE}

Clue:

Each letter stands for a different digit.

Question 2

Problem:
Find the values in the equation:

\text{FISH} + \text{CHIPS} = \text{SALT}

Clue:

No two letters can have the same value.

Question 3

Problem:
Determine the digits in the equation:

\text{CART} + \text{RACE} = \text{CARS}

Clue:

Each letter represents a unique digit.

Question 4

Problem:
Solve for the letters in the equation:

\text{MATH} + \text{BOOK} = \text{READ}

Clue:

The first letter cannot be zero.

Question 5

Problem:
Identify the digits in the equation:

\text{DICE} + \text{CARD} = \text{BOLD}

Clue:

Each letter represents a different digit.

Question 6

Problem:
Find the values in the equation:

\text{BAND} + \text{CAMP} = \text{FARM}

Clue:

No two letters can have the same value.

Question 7

Problem:
Determine the letters in the equation:

\text{FARM} + \text{POND} = \text{LAND}

Clue:

Each letter corresponds to a unique digit.

Question 8

Problem:
Solve for the letters in the equation:

\text{PETS} + \text{LIFE} = \text{PLAY}

Clue:

The first letter cannot be zero.

Question 9

Problem:
Identify the digits in the equation:

\text{TIME} + \text{LATE} = \text{MEET}

Clue:

Each letter represents a different digit.

Question 10

Problem:
Find the values in the equation:

\text{FIRE} + \text{WIND} = \text{DANCE}

Clue:

No two letters can have the same value.

Question 11

Problem:
Determine the letters in the equation:

\text{LOVE} + \text{HATE} = \text{LIFE}

Clue:

Each letter stands for a unique digit.

Question 12

Problem:
Solve for the letters in the equation:

\text{WATER} + \text{FALL} = \text{DROPS}

Clue:

The first letter cannot be zero.

Question 13

Problem:
Identify the digits in the equation:

\text{CARS} + \text{BIKE} = \text{RACE}

Clue:

Each letter represents a different digit.

Question 14

Problem:
Find the values in the equation:

\text{BIRD} + \text{FISH} = \text{WILD}

Clue:

No two letters can have the same value.

Question 15

Problem:
Determine the letters in the equation:

\text{MOON} + \text{STAR} = \text{SUN}

Clue:

Each letter corresponds to a unique digit.

Question 16

Problem:
Solve for the letters in the equation:

\text{HORN} + \text{PIPE} = \text{MUTE}

Clue:

The first letter cannot be zero.

Question 17

Problem:
Identify the digits in the equation:

\text{RAIN} + \text{BOW} = \text{DANCE}

Clue:

Each letter represents a different digit.

Question 18

Problem:
Find the values in the equation:

\text{BONE} + \text{MEAT} = \text{EATEN}

Clue:

No two letters can have the same value.

Question 19

Problem:
Determine the letters in the equation:

\text{PLAY} + \text{TIME} = \text{GOLD}

Clue:

Each letter stands for a unique digit.

Question 20

Problem:
Solve for the letters in the equation:

\text{TAPE} + \text{MICE} = \text{MEET}

Clue:

The first letter cannot be zero.

Answers

  1. C = 7, O = 6, L = 5, D = 4, W = 8, A = 9, R = 0, M = 1, F = 3, I = 2, N = 5, E = 9 (sample values).
  2. F = 4, I = 5, S = 8, H = 7, C = 2, P = 1 (sample values).
  3. C = 2, A = 1, R = 3, T = 4 (sample values).
  4. M = 1, A = 3, T = 2, H = 4, B = 0, O = 5, K = 6, R = 7, E = 8, D = 9 (sample values).
  5. D = 1, I = 2, C = 3, E = 4, A = 5, R = 6 (sample values).
  6. B = 2, A = 1, N = 3, D = 4, C = 5, M = 6, P = 7 (sample values).
  7. F = 1, A = 2, R = 3, M = 4, P = 5, O = 6, N = 7, D = 8 (sample values).
  8. P = 1, E = 2, T = 3, S = 4, L = 5, I = 6, F = 7, A = 8, Y = 9 (sample values).
  9. T = 1, I = 2, M = 3, E = 4, L = 5, A = 6, T = 7 (sample values).
  10. F = 4, I = 3, R = 2, E = 1, W = 6, I = 5, N = 8, D = 7 (sample values).
  11. L = 3, O = 1, V = 4, E = 2, H = 5, A = 6, T = 7 (sample values).
  12. W = 1, A = 2, T = 3, E = 4, R = 5, F = 6, A = 7, L = 8, D = 9, S = 0 (sample values).
  13. C = 1, A = 2, R = 3, S = 4, B = 5, I = 6, K = 7, E = 8 (sample values).
  14. B = 2, I = 1, R = 3, D = 4, F = 5, I = 6, S = 7, H = 8, W = 9 (sample values).
  15. M = 1, O = 2, O = 3, N = 4, S = 5, T = 6, A = 7, R = 8, U = 9 (sample values).
  16. H = 1, O = 2, R = 3, N = 4, P = 5, I = 6, P = 7, E = 8, M = 9 (sample values).
  17. R = 1, A = 2, I = 3, N = 4, B = 5, O = 6, W = 7, D = 8, C = 9 (sample values).
  18. B = 1, O = 2, N = 3, E = 4, M = 5, E = 6, A = 7, T = 8 (sample values).
  19. P = 1, L = 2, A = 3, Y = 4, T = 5, I = 6, M = 7, E = 8, G = 9, O = 0 (sample values).
  20. T = 1, A = 2, P = 3, E = 4, M = 5, I = 6, C = 7, E = 8 (sample values).

These cryptarithm questions will challenge students to think critically and logically, enhancing their problem-solving skills in preparation for the 11+ assessments.