In a certain code, 12 is written as L. How is 19 written in that code?
Explanation: Position 19 maps to S.
What is the next term in the series: 1, 1, 2, 3, 5, 8, ...?
Explanation: Each term is the sum of the two preceding terms: 1+1=2, 1+2=3, 2+3=5, 3+5=8, therefore 5+8=13.
What is the next term in the series: A1, B2, C3, D4, ...?
Explanation: The letter and number both advance by 1: the nth letter paired with the number n. A(1)→B(2)→C(3)→D(4)→E(5).
What is the next term in the series: A1, D2, G3, J4, ...?
Explanation: The letters increase by 3 positions each time (A→D→G→J→M), and the numbers increase by 1 (1→2→3→4→5).
In a certain code, the code for a 6-letter word is the sum of the alphabetical positions of its first three letters plus the sum of the positions of its last three letters. What is the code for CODING?
Explanation: First three: C=3, O=15, D=4, sum=22. Last three: I=9, N=14, G=7, sum=30. Code = 22+30 = 52.
What is the next term in the series: A1, B4, C9, D16, ...?
Explanation: The letter advances by 1 each time, and the number is the square of the letter's position: A(1)→1²=1, B(2)→2²=4, C(3)→3²=9, D(4)→4²=16, therefore E(5)→5²=25.
In a certain code, the code for a word is the number of letters multiplied by the sum of their alphabetical positions. What is the code for DOG?
Explanation: DOG has 3 letters. D=4, O=15, G=7. Sum = 4+15+7 = 26. Code = 3×26 = 78.
In a certain code, the first letter is shifted forward by 5, the second by 4, the third by 3, the fourth by 2, and the fifth by 1. How is INDIA coded?
Explanation: Apply decreasing shifts: I(9)+5=N, N(14)+4=R, D(4)+3=G, I(9)+2=K, A(1)+1=B. Result: NRGKB.
If 2 is coded as 5, 3 as 10, and 4 as 17, then what is the code for 5?
Explanation: The pattern follows the formula n² + 1. For 2: 2²+1=5; for 3: 3²+1=10; for 4: 4²+1=17; therefore for 5: 5²+1=26.
In a code, each consonant is shifted forward by 3 positions, and each vowel is shifted backward by 2 positions. How is CODING coded?
- FLGGQJ
- FMHGQJ
- FMGGQK
- FMGGQJ
Explanation: C(3)+3=F, O(15)−2=M, D(4)+3=G, I(9)−2=G, N(14)+3=Q, G(7)+3=J. Result: FMGGQJ.
In a certain code, HELLO is written as IFMMP. How is WORLD written in that code?
Explanation: Each letter is shifted forward by 1 position in the alphabet. W→X, O→P, R→S, L→M, D→E.
In a certain code, each letter is shifted forward by 3 positions cyclically (X→A, Y→B, Z→C). How is WORLD coded?
Explanation: Apply cyclic shift of +3: W→Z, O→R, R→U, L→O, D→G. Result: ZRUOG.
In a certain code, the code for a 3-letter word is the letter corresponding to the sum of the alphabetical positions of its letters, reduced to the range 1–26 by subtracting 26 if necessary. What is the code for DOG?
Explanation: D=4, O=15, G=7. Sum = 4+15+7 = 26. The 26th letter is Z.
What is the next term in the series: Z, Y, W, T, P, ...?
Explanation: Gaps increase by 1: −1, −2, −3, −4, so next gap is −5. Rank 16 minus 5 gives rank 11→K.
In a certain code, a word is written by reversing the order of its letters. How is CODING written in that code?
- GINDOC
- GNDIOC
- GNIDCO
- GNIDOC
Explanation: Reverse the letter order of the word: C-O-D-I-N-G becomes G-N-I-D-O-C.
If A is coded as Z, B as Y, C as X, and so on, how is the word CODE written in that code?
Explanation: Each letter is replaced by its reverse alphabet counterpart using the formula: coded letter = 27 − (position of original letter). C(3)→X(24), O(15)→L(12), D(4)→W(23), E(5)→V(22).
In a code, each vowel is replaced by its alphabetical position, and each consonant is replaced by its reverse alphabetical position (A=1, B=25, etc.). What is the sum for CODE?
Explanation: C is a consonant: 27−3=24. O is a vowel: 15. D is a consonant: 27−4=23. E is a vowel: 5. Sum = 24+15+23+5 = 67.
In a certain code, the code for a word is the sum of the alphabetical positions of its first and last letters. What is the code for ORANGE?
Explanation: O is the 15th letter and E is the 5th letter. Code = 15+5 = 20.
What is the next term in the series: A, B, C, E, H, ...?
Explanation: Alphabetical ranks follow Fibonacci: 1, 2, 3, 5, 8, so next is 13→M.
In a coding system, the code for a two-letter group is the absolute difference between their alphabetical positions. What is the code for XZ?
Explanation: The code equals the absolute difference between the two alphabetical ranks. Z holds rank 26 and X holds rank twenty-four; the difference is 2.
In a certain code, adjacent letters are interchanged pairwise (1st with 2nd, 3rd with 4th, etc.). How is CODING written in that code?
- OCINDG
- COIDGN
- OCIDGN
- OCIDNG
Explanation: Swap adjacent pairs: C↔O, D↔I, N↔G. The word C-O-D-I-N-G becomes O-C-I-D-G-N.
In a 5×5 matrix where letters A–E are in row 1, F–J in row 2, K–O in row 3, P–T in row 4, and U–Y in row 5, the code for a letter is (row number + column number). What is the sum of codes for CAT?
Explanation: C is in row 1, column 3: code=1+3=4. A is in row 1, column 1: code=1+1=2. T is in row 4, column 5: code=4+5=9. Sum = 4+2+9 = 15.
What is the next term in the series: A, D, I, P, ...?
Explanation: Each letter occupies a perfect square position in the alphabet: 1²=1→A, 2²=4→D, 3²=9→I, 4²=16→P, therefore 5²=25→Y.
In a certain code, each letter is assigned a value equal to twice its alphabetical position, and the code for a word is the sum of these values. What is the code for DOG?
Explanation: Double each letter's position: D(4)×2=8, O(15)×2=30, G(7)×2=14. Sum = 8+30+14 = 52.
What is the next term in the series: 1, 4, 9, 16, 25, ...?
Explanation: The series consists of perfect squares: 1²=1, 2²=4, 3²=9, 4²=16, 5²=25, therefore 6²=36.
What is the next term in the series: 3, 8, 6, 11, 9, ...?
Explanation: The pattern alternates between adding 5 and subtracting 2. After 9, add 5 to get 14.
In a certain code, the code for a 3-letter word is the sum of the absolute differences between adjacent letters' alphabetical positions. What is the code for DOG?
Explanation: Calculate adjacent differences: |D−O| = |4−15| = 11, |O−G| = |15−7| = 8. Code = 11+8 = 19.
In a certain code, a word is first reversed, and then each letter is shifted forward by 2 positions. How is CODING coded?
- IPKFRD
- IPLFQE
- IPKFQE
- IPKFQF
Explanation: Step 1: Reverse CODING to get GNIDOC. Step 2: Shift each letter by +2: G→I, N→P, I→K, D→F, O→Q, C→E. Result: IPKFQE.
What is the next term in the series: 1, 8, 27, 64, ...?
Explanation: The series consists of perfect cubes: 1³=1, 2³=8, 3³=27, 4³=64, therefore 5³=125.
In a certain code, the code for a word is the absolute difference between the alphabetical positions of its first and last letters. What is the code for CITRUS?
Explanation: C is the 3rd letter and S is the 19th letter. Code = |19−3| = 16.
If each letter is coded by its alphabetical position and the code for a word is the sum of these values, what is the code for MATH?
Explanation: M=13, A=1, T=20, H=8. Sum = 13+1+20+8 = 42.
What is the next term in the series: A4, C7, E10, G13, ...?
Explanation: Letters increase by 2 positions (A→C→E→G→I), and numbers increase by 3 (4→7→10→13→16).
In a certain code, the code for a 3-letter word is (position of 1st letter × position of 2nd letter) + position of 3rd letter. What is the code for DOG?
Explanation: D=4, O=15, G=7. Code = (4×15)+7 = 60+7 = 67.
What is the next term in the series: 2, 6, 18, 54, ...?
Explanation: Each term is multiplied by 3: 2×3=6, 6×3=18, 18×3=54, therefore 54×3=162.
What is the next term in the series: A2, C4, E8, G16, ...?
Explanation: Letters increase by 2 positions (A→C→E→G→I), and numbers double each time (2→4→8→16→32).
In a certain code, each letter is coded as the square of its alphabetical position, and the word code is the sum of these squares. What is the code for DOG?
Explanation: Square each position: D=4²=16, O=15²=225, G=7²=49. Sum = 16+225+49 = 290.
What is the next term in the series: B, C, E, G, K, ...?
Explanation: These are letters at prime ranks: 2→B, 3→C, 5→E, 7→G, 11→K, so 13→M.
In a certain code, only consonants are counted, each using its reverse alphabetical position (27 − position). What is the code for CODING?
Explanation: Consonants in CODING are C, D, N, G. Reverse positions: C=27−3=24, D=27−4=23, N=27−14=13, G=27−7=20. Sum = 24+23+13+20 = 80.
In a certain code, for a 4-letter word, the code is calculated as (position of 1st letter + position of 2nd letter) × (position of 3rd letter + position of 4th letter). What is the code for CODE?
Explanation: C=3, O=15, D=4, E=5. Code = (3+15)×(4+5) = 18×9 = 162.
If the word APPLE is coded as 50 by adding the alphabetical positions of its letters, what is the code for ORANGE?
Explanation: Sum the alphabetical positions: O=15, R=18, A=1, N=14, G=7, E=5. Total = 15+18+1+14+7+5 = 60.
In a code, vowels are replaced by the next vowel in the sequence (A→E, E→I, I→O, O→U, U→A), and each consonant is shifted forward by 2 positions. How is TEST coded?
Explanation: T is a consonant: T(20)+2=V. E is a vowel: E→I. S is a consonant: S(19)+2=U. T is a consonant: T(20)+2=V. Result: VIUV.
In a certain code, the code for a word is the product of the alphabetical positions of its letters. What is the code for CODE?
Explanation: Multiply the alphabetical positions: C=3, O=15, D=4, E=5. Product = 3×15×4×5 = 900.
In a certain code, the code for a 3-letter word is (position of 1st letter × position of 3rd letter) − position of 2nd letter. What is the code for DOG?
Explanation: Compute the product of the first and third ranks, then subtract the middle rank: 4 × 7 = 28, and 28 minus fifteen = 13.
What is the next term in the series: A, C, F, J, ...?
Explanation: Ranks are triangular numbers: 1, 3, 6, 10, so next is 15→O.
In a certain code, only the vowels contribute to the code value, which is the sum of their alphabetical positions. What is the code for CODING?
Explanation: The vowels in CODING are O and I. O=15, I=9. Code = 15+9 = 24.
What is the next term in the series: Z, X, V, T, ...?
Explanation: Each letter moves back 2 places: Z(26)→X(24)→V(22)→T(20)→R(18).
In a certain code, the first letter of a word is shifted forward by 1, the second by 2, the third by 3, and so on. If HELLO is coded as IGOPT, how is WORLD coded?
Explanation: Apply increasing shifts: W+1=X, O+2=Q, R+3=U, L+4=P, D+5=I. The result is XQUPI.
What is the next term in the series: A, C, E, G, ...?
Explanation: Each letter advances 2 places: A(1)→C(3)→E(5)→G(7)→I(9).
In a certain code, the code for a word is the product of the alphabetical positions of its first and last letters. What is the code for CITRUS?
Explanation: C is the 3rd letter and S is the 19th letter. Code = 3×19 = 57.
What is the next term in the series: 2, 5, 8, 11, 14, ...?
Explanation: Each term increases by 3: 2+3=5, 5+3=8, 8+3=11, 11+3=14, therefore 14+3=17.
In a certain code, each letter is first moved one step forward in the alphabet, and then replaced by its reverse alphabet counterpart. How is CAT coded?
Explanation: Step 1: Shift each letter forward by 1: C→D, A→B, T→U. Step 2: Apply reverse alphabet (27 − position): D(4)→W(23), B(2)→Y(25), U(21)→F(6).
What is the next term in the series: A1, C3, E5, G7, ...?
Explanation: The letters increase by 2 positions (A→C→E→G→I), and the numbers increase by 2 (1→3→5→7→9).
In a certain code, the code for a word is the number of letters multiplied by the alphabetical position of the middle letter. What is the code for WORLD?
Explanation: WORLD has 5 letters; the middle (3rd) letter is R, which is the 18th letter. Code = 5×18 = 90.
What is the next term in the series: A, D, C, F, E, ...?
Explanation: The pattern alternates: +3, −1, +3, −1, ... 1+3=4, 4−1=3, 3+3=6, 6−1=5, so 5+3=8→H.
What is the next term in the series: A2, B5, C10, D17, E26, ...?
Explanation: The letter advances by 1, and the number follows n²+1 where n is the letter's position: A(1)→1²+1=2, B(2)→2²+1=5, C(3)→3²+1=10, D(4)→4²+1=17, E(5)→5²+1=26, therefore F(6)→6²+1=37.
If A is coded as 26, B as 25, C as 24, and so on (reverse position values), what is the sum of the coded values for the word CODE?
Explanation: Use reverse alphabetical positions: C=24, O=12, D=23, E=22. Sum = 24+12+23+22 = 81.
What is the next term in the series: Z1, Y2, X3, W4, ...?
Explanation: The letters are the reverse alphabet in order (Z, Y, X, W, V), paired with consecutive integers (1, 2, 3, 4, 5).
What is the next term in the series: A1, B3, C5, D7, E9, ...?
Explanation: The letters advance by 1 (A→B→C→D→E→F), and the numbers are consecutive odd integers (1, 3, 5, 7, 9, 11).
What is the next term in the series: 2, 3, 5, 7, 11, ...?
Explanation: The series consists of consecutive prime numbers: 2, 3, 5, 7, 11, therefore the next prime is 13.
What is the next term in the series: 1, 3, 6, 10, 15, ...?
Explanation: The series consists of triangular numbers: 1, 1+2=3, 1+2+3=6, 1+2+3+4=10, 1+2+3+4+5=15, therefore 1+2+3+4+5+6=21.