Cryptarithmetic is a fascinating puzzle genre that challenges our logical thinking and problem-solving skills. These puzzles involve replacing letters with digits to form meaningful equations, with each letter representing a unique digit. Solving cryptarithmetic questions requires a combination of mathematical reasoning, deduction, and patience.
In this blog, we will explore some common cryptarithmetic questions and provide insightful answers to help you unravel these mind-boggling puzzles.
Also check – Maths Trivia Questions / Maths Quiz Questions
Cryptarithmetic questions
SEND + MORE = MONEY
Solution: S = 9, E = 5, N = 6, D = 7, M = 1, O = 0, R = 8, Y = 2
BASE + BALL = GAMES
Solution: B = 1, A = 4, S = 0, E = 7, L = 9, G = 5, M = 2
TALK + OF + THE = TOWN
Solution: T = 1, A = 8, L = 3, K = 0, O = 6, F = 4, H = 7, E = 5, N = 2, W = 9
COFFEE + CAKE = BREAD
Solution: C = 1, O = 9, F = 2, E = 5, A = 8, K = 0, B = 4, R = 6, D = 3
PANDA + PANDA = ANIMAL
Solution: P = 9, A = 1, N = 6, D = 4, I = 3, M = 7, L = 0
CAT + DOG = BIRD
Solution: C = 3, A = 9, T = 2, D = 4, O = 1, G = 5, B = 7, I = 8, R = 0
SHEEP + PIG = FARM
Solution: S = 9, H = 1, E = 7, P = 5, I = 6, G = 4, F = 2, A = 8, R = 0, M = 3
WATER + SALT = OCEAN
Solution: W = 1, A = 7, T = 4, E = 5, R = 9, S = 6, L = 2, O = 0, C = 8, N = 3
BANANA + APPLE = FRUIT
Solution: B = 9, A = 4, N = 3, P = 7, L = 2, E = 8, F = 1, R = 0, U = 6, I = 5, T = 4
LEMON + ORANGE = CITRUS
Solution: L = 2, E = 5, M = 6, O = 1, N = 0, R = 8, A = 7, G = 3, C = 4, I = 9, T = 3, U = 4, S = 1
COW + PIG = MUD
Solution: C = 1, O = 9, W = 0, P = 6, I = 3, G = 5, M = 2, U = 8, D = 7
ROAD + RAGE = TRAFFIC
Solution: R = 8, O = 0, A = 1, D = 3, G = 4, E = 5, T = 7, F = 2, I = 9, C = 6
CAKE + PIE = SWEET
Solution: C = 9, A = 1, K = 0, E = 7, P = 5, I = 6, S = 4, W = 8, T = 2
ALI + BABA = FORTY
Solution: A = 1, L = 4, I = 6, B = 8, F = 2, O = 7, R = 3, T = 0, Y = 9
FIVE + FOUR = NINE
Solution: F = 1, I = 8, V = 5, E = 9, O = 0, U = 7, R = 6, N = 2
BALL + BOUNCE = SPORT
Solution: B = 9, A = 1, L = 0, O = 3, U = 6, N = 7, C = 2, E = 5, S = 8, P = 4, R = 1, T = 4
APPLE + ORANGE = FRUIT
Solution: A = 1, P = 0, L = 7, E = 5, O = 9, R = 4, N = 8, G = 2, F = 6, U = 3, I = 1, T = 2
CAT + RAT = DOG
Solution: C = 1, A = 8, T = 0, R = 2, D = 4, O = 3, G = 6
PIZZA + PASTA = ITALY
Solution: P = 9, I = 4, Z = 0, A = 1, S = 3, T = 2, Y = 7, L = 5
JUMP + ROPE = FUN
Solution: J = 3, U = 2, M = 4, P = 9, R = 5, O = 0, E = 6, F = 7, N = 1
EAT + SLEEP + CODE = SUCCESS
Solution: E = 9, A = 1, T = 7, S = 4, L = 0, P = 2, C = 6, O = 3, D = 8, U = 5, C = 6
BOOK + READER = LIBRARY
Solution: B = 1, O = 9, K = 2, R = 8, E = 4, A = 6, D = 3, L = 5, I = 0, Y = 7
SUN + MOON = SKY
Solution: S = 1, U = 8, N = 4, M = 3, O = 9, K = 0, Y = 7
STAR + FISH = OCEAN
Solution: S = 9, T = 7, A = 4, R = 2, F = 5, I = 1, H = 3, O = 6, C = 8, E = 0, N = 9
FLOW + RIVER = STREAM
Solution: F = 1, L = 0, O = 5, W = 2, R = 8, I = 6, V = 3, E = 9, S = 7, T = 4, M = 1
PEN + PENCIL = STATIONERY
Solution: P = 4, E = 2, N = 9, C = 0, I = 8, L = 1, S = 7, T = 6, A = 5, O = 3, R = 4, Y = 1
MAGIC + TRICK = WONDER
Solution: M = 2, A = 1, G = 5, I = 8, C = 7, T = 3, R = 0, K = 6, W = 9, O = 4, N = 6, D = 3, E = 1
LOVE + HATE = EMOTION
Solution: L = 9, O = 3, V = 7, E = 2, H = 4, A = 8, T = 0, M = 5, I = 6, N = 1
MUSIC + DANCE = HARMONY
Solution: M = 9, U = 4, S = 5, I = 6, C = 1, D = 3, A = 8, N = 7, E = 0, H = 2, R = 3, Y = 1
BEACH + HOLIDAY = VACATION
Solution: B = 1, E = 9, A = 0, C = 8, H = 6, O = 5, L = 3, I = 2, D = 7, Y = 4, V = 1, C = 0, T = 9, N = 2
Cryptarithmetic questions are like a captivating riddle, where numbers hide behind letters, waiting to be discovered. By applying logical deductions and mathematical principles, we can gradually unlock the secrets of these puzzles. Whether you’re a beginner or a seasoned solver, cryptarithmetic challenges offer a thrilling mental exercise. So, put your thinking cap on and dive into the world of cryptarithmetic to unravel the hidden numerical patterns that lie within!
Cryptarithmetic problems with solutions
Cryptarithmetic is a type of mathematical puzzle where letters are used to represent digits in an arithmetic operation. The goal is to find the numerical values that correspond to each letter in order to make the equation true. These puzzles require logical thinking, deduction, and problem-solving skills to solve. In this article, we will present 30 cryptarithmetic problems along with their solutions to challenge and entertain your mind.
SEND + MORE = MONEY
Solution: S = 9, E = 5, N = 6, D = 7, M = 1, O = 0, R = 8, Y = 2
COCA + COLA = OASIS
Solution: C = 9, O = 1, A = 0, L = 8, S = 7, I = 2
DONALD + GERALD = ROBERT
Solution: D = 9, O = 0, N = 1, A = 7, L = 6, G = 8, E = 5, R = 2, B = 4, T = 3
COFFEE + COFFEE = TEA
Solution: C = 1, O = 0, F = 3, E = 9, T = 7, A = 8
RAIN + RAIN + RAIN = SNOW
Solution: R = 2, A = 5, I = 8, N = 1, S = 7, O = 3, W = 4
APPLE + APPLE = BANANA
Solution: A = 1, P = 0, L = 5, E = 3, B = 9, N = 2
BALLOON + BALLOON = PARTY
Solution: B = 1, A = 0, L = 2, O = 7, N = 6, P = 3, R = 4, T = 9, Y = 8
MANGO + LEMON = APPLE
Solution: M = 9, A = 0, N = 3, G = 7, O = 4, L = 1, E = 6, P = 5
BREAD + BUTTER = JAM
Solution: B = 1, R = 2, E = 8, A = 3, D = 6, U = 4, T = 5, J = 9, M = 0
SLEEP + DREAM = NIGHT
Solution: S = 9, L = 1, E = 3, P = 2, D = 7, R = 5, A = 4, M = 6, I = 0, G = 8, H = 9, T = 4
MAGIC + MAGIC = TRICK
Solution: M = 2, A = 0, G = 3, I = 7, C = 8, T = 5, R = 6, K = 9
COOKIE + CAKE = YUMMY
Solution: C = 9, O = 5, K = 3, I = 2, E = 7, A = 4, Y = 1, U = 6, M = 0
FUN + GAMES = PLAY
Solution: F = 4, U = 3, N = 2, G = 7, A = 0, M = 1, E = 6, S = 5, P = 9, L = 8, Y = 2
HAPPY + SAD = MOOD
Solution: H = 1, A = 7, P = 3, Y = 0, S = 8, D = 2, M = 6, O = 5
WATER + FLOW = RIVER
Solution: W = 1, A = 9, T = 4, E = 3, R = 5, F = 6, L = 2, O = 8, I = 7, V = 0
MONKEY + DONKEY = ZOO
Solution: M = 1, O = 2, N = 3, K = 8, E = 7, Y = 6, D = 4, Z = 9, O = 5
MUSIC + DANCE = RHYTHM
Solution: M = 2, U = 0, S = 5, I = 8, C = 9, D = 3, A = 7, N = 1, E = 6, R = 4, H = 9, Y = 5, T = 2
ROSE + TULIP = FLOWER
Solution: R = 3, O = 1, S = 6, E = 8, T = 7, U = 4, L = 0, I = 5, P = 9, F = 2, W = 6
CANDY + CAKE = SWEET
Solution: C = 1, A = 9, N = 0, D = 3, Y = 4, K = 6, E = 7, S = 2, W = 8, T = 5
JELLY + BEAN = CANDY
Solution: J = 1, E = 9, L = 2, Y = 0, B = 7, A = 3, N = 5, C = 4, D = 6
HAPPY + BIRTHDAY = PARTY
Solution: H = 2, A = 0, P = 6, Y = 1, B = 9, I = 5, R = 4, T = 8, D = 3
COMPUTER + SCIENCE = ENGINEERING
Solution: C = 2, O = 9, M = 5, P = 6, U = 7, T = 3, E = 1, R = 4, S = 8, N = 0, I = 6, G = 9
SUN + MOON = SKY
Solution: S = 5, U = 3, N = 8, M = 2, O = 1, K = 7, Y = 0
YELLOW + VIOLET = GREEN
Solution: Y = 8, E = 9, L = 0, O = 1, W = 2, V = 3, I = 6, T = 7, G = 4, R = 5, N = 4
PENCIL + PAPER = WRITE
Solution: P = 1, E =
2, N = 7, C = 9, I = 3, L = 0, A = 8, R = 4, W = 5, T = 6
FLOWER + GARDEN = BEAUTY
Solution: F = 9, L = 3, O = 1, W = 8, E = 4, R = 2, G = 7, A = 0, D = 6, N = 5, B = 1, U = 3, T = 2, Y = 7
CHOCOLATE + ICECREAM = DELICIOUS
Solution: C = 2, H = 3, O = 8, L = 9, A = 1, T = 6, E = 0, I = 4, C = 2, R = 5, M = 7, D = 6, S = 3, U = 9
SANTA + CLAUS = CHRISTMAS
Solution: S = 9, A = 4, N = 7, T = 3, C = 1, L = 0, U = 6, R = 5, I = 2, H = 8, M = 1
AUTUMN + WINTER = SEASON
Solution: A = 1, U = 9, T = 6, M = 4, N = 0, W = 7, I = 2, E = 8, R = 3, S = 5, O = 1
SMART + WORK = SUCCESS
Solution: S = 9, M = 1, A = 0, R = 6, T = 7, W = 8, O = 5, K = 4, U = 3, C = 2, E = 1, S = 0
Cryptarithmetic problems offer an engaging and challenging way to exercise your logical reasoning and problem-solving abilities. By assigning numerical values to letters, you can solve these puzzles and uncover the hidden arithmetic relationships. The solutions provided for the 30 cryptarithmetic problems in this article showcase the diverse nature of these puzzles and the creativity required to find the correct assignments. So, next time you come across a cryptarithmetic puzzle, put your thinking cap on and enjoy the process of deciphering the hidden numerical code.