Cryptarithmetic problems are mathematical puzzles in which the **digits are replaced by letters of the alphabets. **Cryptarithmetic questions are most commonly asked in the Infosys recruitment and eLitmus exam. Solving a Cryptarithmetic Problem will take nearly 10-12 minutes in exam. If you are able to solve puzzle, then you can easily answer the 3 question based on Cryptarithmetic within 2 minutes**.** In eLitmus, For scoring a higher percentile in problem solving section, you need to solve 5-7 questions.

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## Rules for Solving Cryptarithmetic Problems

- Each Letter, Symbol represents only one digit throughout the problem.
- Numbers must not begin with zero i.e. 0567 (wrong) , 567 (correct).
- Aim is to find the value of each letter in the Cryptarithmetic problems
- There must be only one solution to the Cryptarithmetic problems
- The numerical base, unless specifically stated , is 10.
- After replacing letters by their digits, the resulting arithmetic operations must be correct.
- Carry over can only be 1 in Cryptarithmetic problems

## Cryptarithmetic Problems

Prepare like a pro with the best Cryptarithmetic problems. Free Cryptarithmetic problems provide a blueprint of what the real examination on Cryptarithmetic problems will offer in terms of difficulty level. Have a shot!

**1. LET + LEE = ALL , then A + L + L = ?****Assume (E=5)**

**L****E****T****A**

Ans. B

L = 1 E = 5 T = 6

So,

1 5 6

1 5 5 (+)

——-

3 1 1

——-

A = 3 So, 3 + 1 + 1 = 5 ==> E**2. If KANSAS + OHIO = OREGON • Then find the value of G + R + O + S + S**

**7****8****9****10**

KANSAS + OHIO = OREGON given the value of O = 5

KANSAS = 497292

OHIO = 5865

OREGON = 503157

G + R + O + S + S = 1 + 0 + 5 + 2 + 2 = 10**3. HERE = COMES – SHE, (Assume S = 8) Find the value of R + H + O**

**12****13****14****15**

Ans. C

E + E = 8

then,E = 4 S = 8,

E + S = M

4 + 8 = 12

M = 2

H + 1 = 10 so, O = 0 C = 1,

now R + H = E = 4

H = 9

so R has to be 5 as 5 + 9 = 14 which leaves carry 1..

so M = 3

so R + H + O = 5 + 9 + 0 = 14**4. If POINT + ZERO = ENERGY, then E + N + E + R + G + Y = ?**

**17****18****19****20**

Ans. A

POINT = 98504,

ZERO = 3168

ENERGY = 101672.

So E + N + E + R + G + Y = 1 + 0 + 1 + 6 + 7 +2 = 17**5. If GO + TO = OUT, then O + U + T = ?**

**1****2****3****4**

Ans. C

Clearly, O = 1., as it is the carry generated by G + T. a number cannot start from 0 in cryptarithmetic addition.

Since O = 1, O + O = 1 + 1 =2. So, T = 2.

G + 2 = 10 + U.

If G = 9, U = 1. Which is not valid since O = 1.

So, G = 8 and U = 0.

Hence, O + U + T = 1 + 0 + 2 = 3**6. If USA + USSR = PEACE. Find P + E + A + C + E.**

**8****9****10****11**

Ans. C

USA + USSR = PEACE

Here P is carry , P = 1

when P = 1, E = 0 with carry 1 AND U = 9

A + R = E = 0 with carry 1.

so, A = 2 and R = 8

U + S = A = 2 with carry 1, S = 3

S + S + 1 = C, 3 + 3 + 1 = c = 7

932 + 9338 = 10270

so,P + E + A + C + E = 1 + 0 + 2 + 7 + 0 = 10**7. If EVER + SINCE = DARWIN then D + A + R + W + I + N is?**

**24****23****22****21**

Ans.A

EVER = 5653

SINCE = 97825

——————–

103478 = DARWIN

1 + 0 + 3 + 4 + 7 + 8 = 23**8. EAT + EAT + EAT = BEET if t = 0 then what will the value of TEE + TEE?**

**088****084****044****048**

Ans. A

T = 0

A = 8

E = 4

EAT = 480

EAT = 480

EAT = 480

————-

1440

8 + 8 + 8 = 24

2 carry over

4 + 4 + 4 = 12 + 2 = 14

So, BEET = 1440

the TEE + TEE

044 + 044 = 088 = TAA**9. If E A T + T H A T = A P P L E, what is the value of A + T + L ?**

**12****13****14****15**

Ans. B

3 digit number (EAT) + 4 digit number(THAT) = 5 digit number(APPLE)

If so, then A can be 1 and p can be 0.

Again here T is yielding a two digit number(10).

So there must be a carry 1 and T = 9.

Now the expression becomes

E 1 9

9 H 1 9

——————-

1 0 0 L E

Now it is clear that E = 8 and L = 3

So,A + T + L = 1 + 9 + 3 =13

N I N E

+ F I N E

————-

W I V E S. = 3 + 6 + 7 + 5 + 0 = 21**11. If WAIT + ALL = GIFTS then whats the value of G + I + F + T .. IF A = 6 and S = 5**

**11****12****13****14**

W A I T

A L L

—————

G I F T S

9 6 0 8

6 7 7

———–

1 0 2 8 5

Hence G + I + F + T = 11**12. SEND + MORE = MONEY, What is the value of M + O + N + E + Y?**

**12****13****14****15**

Ans. C

SEND 9567

MORE 1085

—– —–

MONEY 10652

SO M + O + N + E + Y = 1 + 0 + 6 + 5 + 2 = 14**13. SCOOBY + DOOO = BUSTED; Find the value of B + U + S + T + E + D?**

**23****24****25****26**

Ans. B

S C O O B Y

1 9 4 4 2 3

D O O O

+ 7 4 4 4

__________________

B U S T E D

2 0 1 8 6 7

so B + U + S + T + E + D = 24**14. S C O O B Y + D O O = B L I N K S ****then B + L + I + N + K + S = ?**

**28****29****30****31**

Ans. A

SCOOBY

DOO

…….

BLINKS

…….

Y + O = S, B + O = K, O + D = N , O = I , C = L ,S = B

SO,WE CAN TAKE VALUES S&B = 3, C&L = 6, O&I = 2 Y = 1, D = 7,N = 9,K = 5 .

SO,B + L + I + N + K + S = 3 + 6 + 2 + 9 + 5 + 3 = 28

15. BANANA + GUAVA = ORANGE

O + R + A + N + G + E = ?

- 31
- 30
- 29
- 28

Ans. A

2 4 9 4 9 4

6 5 4 7 4

—————

3 1 4 9 6 8

O = 3, R = 1, A = 4, N = 9, G = 6, E = 8.

So the answer is 31.**16. If HOW + MUCH = POWER ,then what is the value of P + O + W + E + R?**

**10****11****12****13**

Ans. C

705

+9837

——

10542

so P + O + W + E + R = 1 + 0 + 5 + 4 + 2 = 12**17. DAYS + TOO = SHORT, then find S + H + O + R + T**

**11****12****13****14**

Ans. D

D A Y S

+ T O O

—————

S H O R T

9 7 4 3

+ 5 2 2

————–

1 0 2 6 5

that means:

S = 1,

H = 0,

O = 2,

R = 6,

T = 5

so, S + H + O + R + T = 1 + 0 + 2 + 6 + 5 = 14**18. TWO + DAYS = MORE then, M + O + R + E =?**

**15****16****17****18**

Ans. D

+ T W O

D A Y S

———-

M O R E

+ 8 9 3

6 4 1 2

——–

7 3 0 5

M + O + R + E = 7 + 3 + 0 + 5 = 15