Letter/Alphabet Analogy 2


Q. If  PEN = 17717, then what is the code for CAP ?


A. 2319  B. 4319  C. 4219  D. 2320


Solution


Use the alphabet positions and add 1, 2, 3 respectively: P = 16 + 1 = 17,  E = 5 + 2 = 7,  N = 14 + 3 = 17


So, PEN = 17 7 17 = 17717


For CAP: C = 3 + 1 = 4, A = 1 + 2 = 3, P = 16 + 3 = 19


CAP = 3 19 = 4319


​Ans: B. 4319


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Q. APPLE = 57, then BALL = ?  Options: (a) 28  (b) 30 (c) 32 (d) 34


Solution | āϏāĻŽāĻžāϧāĻžāύ


APPLE: A = 1, P = 16, P = 16, L = 12, E = 5
Sum = 50
Total letters = 5
Vowels = 2


So, 50 + 5 + 2 = 57


BALL: B = 2, A = 1, L = 12, L = 12
Sum = 27
Total letters = 4
Vowels = 1


Therefore, 27 + 4 + 1 = 32


Ans | āωāĻ¤ā§āϤ⧰: (c) 32


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Question | āĻĒā§ā§°āĻļā§āύ : If 34 × 15 = 495 and 43 × 12 = 504, then 98 × 17 = ? (āϝāĻĻāĻŋ 34 × 15 = 495 āφ⧰⧁ 43 × 12 = 504 āĻšāϝāĻŧ, āϤ⧇āĻ¨ā§āϤ⧇ 98 × 17 = ?)


Options | āĻŦāĻŋāĻ•āĻ˛ā§āĻĒ: A. 1649  B. 1683  C. 1763  D. 1751


Trick | āĻ•ā§ŒāĻļāϞ


Multiply the two numbers, then subtract the second number. (āĻĒā§ā§°āĻĨāĻŽā§‡ āĻĻ⧁āϝāĻŧā§‹āϟāĻž āϏāĻ‚āĻ–ā§āϝāĻžāĻ• āϗ⧁āĻŖ āϕ⧰āĻ•, āϤāĻžā§° āĻĒāĻŋāĻ›āϤ āĻĻā§āĻŦāĻŋāϤ⧀āϝāĻŧ āϏāĻ‚āĻ–ā§āϝāĻžāĻŸā§‹ āĻŦāĻŋāϝāĻŧā§‹āĻ— āϕ⧰āĻ•āĨ¤)


Solution | āϏāĻŽāĻžāϧāĻžāύ


34 × 15 = 510, 510 − 15 = 495


43 × 12 = 516, 516 - 12 = 504 


So,


98 × 17 = 1666, 1666 − 17 = - 17 = 1649


Ans | āωāĻ¤ā§āϤ⧰: A. 1649


Question | āĻĒā§ā§°āĻļā§āύ : If (3)² @ 1 * 7 = 98, (4)² @ 2 * 16 = 178, then (5)² @ 3 * 9 = ?  āϝāĻĻāĻŋ (3)² @ 1 * 7 = 98, (4)² @ 2 * 16 = 178 āĻšāϝāĻŧ, āϤ⧇āĻ¨ā§āϤ⧇ (5)² @ 3 * 9 = ?


Options | āĻŦāĻŋāĻ•āĻ˛ā§āĻĒ: A. 218  B. 262  C. 253  D. 259


Trick | āĻ•ā§ŒāĻļāϞ


Observe the pattern:



  • (3)² = 9, 9 × 10 + 8 = 98 (where 8 = 1 + 7)



  • (4)² = 16, 16 × 10 + 18 = 178 (where 18 = 2 + 16)


So the rule is: (a2 × 10) + (b + c) = [(5)2 x 10] + (3 + 9) = 250 + 12 = 262


Ans | āωāĻ¤ā§āϤ⧰ : B. 262


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Q. CE : 70 :: DE : ?


Options: A. 90 B. 60 C. 120 D. 210


Trick : Join the alphabet positions → Multiply by 2.



  • C = 3, E = 5 → 35 × 2 = 70

  • D = 4, E = 5 → 45 × 2 = 90


Ans: A. 90


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Q. 25 : ? :: 36 : 85


Options: (A) 84  (B) 41  (C) 53  (D) 61


Trick:


Notice that: 36 + 49 = 85 


Here, 49 = 72, which is the next perfect square after 36 (which is 62).


Applying the same rule: 25 = 52 



  • Next perfect square = 62 = 36

  • 25 + 36 = 61


Therefore, 25 : 61 :: 36 : 85


Ans: (D) 61


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Q. AB : C² :: BC : E² :: GH : ?²


Options: (A) J² (B) K² (C) O² (D) R²


Solution | āϏāĻŽāĻžāϧāĻžāύ

Find the alphabetical positions:


A = 1, B = 2


1 + 2 = 3


3rd letter = C ⇒ AB : C²


B = 2, C = 3


2 + 3 = 5 


5th letter = E ⇒ BC : E²


G = 7, H = 8


7 + 8 = 15


15th letter = O ⇒ GH : O²


Trick | āĻ•ā§ŒāĻļāϞ

Add the alphabet positions of the two letters. āĻĻ⧁āϟāĻž āφāĻ–ā§°ā§° Alphabet Position āϝ⧋āĻ— āϕ⧰āĻ•āĨ¤



  • A(1) + B(2) = 3 → C²

  • B(2) + C(3) = 5 → E²

  • G(7) + H(8) = 15 → O²


Ans / āωāĻ¤ā§āϤ⧰: (C) O²






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Q. AFI = M :: √ADD = L :: √ABA = ?


Option: A) F   B) G   C) H    D) K


Solution | āϏāĻŽāĻžāϧāĻžāύ


1st : Convert each letter into its alphabetical position and join the numbers (do not add them). (ā§§: āĻĒā§ā§°āϤāĻŋāĻŸā§‹ āφāĻ–ā§°āĻ• āϤāĻžā§° āĻŦā§°ā§āĻŖāĻžāύ⧁āĻ•ā§ā§°āĻŽāĻŋāĻ• āĻ¸ā§āĻĨāĻžāύāϞ⧈ ā§°ā§‚āĻĒāĻžāĻ¨ā§āϤ⧰ āϕ⧰āĻŋ āϏāĻ‚āĻ–ā§āϝāĻžāĻŦā§‹ā§° āĻāϕ⧇āϞāϗ⧇ āϞāĻŋāĻ–āĻ• (āϝ⧋āĻ— āύāϕ⧰āĻŋāĻŦ)āĨ¤)



  • AFI → A = 1, F = 6, I = 9 , AFI → 169

  • ADD → A = 1, D = 4, D = 4 , ADD → 144

  • ABA → A = 1, B = 2, A = 1 , ABA → 121


2nd : Find the square root and convert the result into the corresponding alphabet. (⧍: āĻŦā§°ā§āĻ—āĻŽā§‚āϞ (√) āωāϞāĻŋāϝāĻŧāĻžāĻ“āĻ• āφ⧰⧁ āĻĒā§‹ā§ąāĻž āϏāĻ‚āĻ–ā§āϝāĻžāĻŸā§‹āĻ• āϏāĻ‚āĻļā§āϞāĻŋāĻˇā§āϟ āφāĻ–ā§°āϞ⧈ ā§°ā§‚āĻĒāĻžāĻ¨ā§āϤ⧰ āϕ⧰āĻ•āĨ¤)



  • 169 =13  M

  • 144 = 12 L

  • 121 = 11 K


Ans | āωāĻ¤ā§āϤ⧰: D) K


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Q. Find the missing letter: B, G, N, W, ?


Pattern: B → G = +5, G → N = +7, N → W = +9, W → ? = +11


Now, W + 11 (cyclically) = H


Trick: +5, +7, +9, +11 → odd numbers increasing by 2.


Ans: (d) H


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