Letter/Alphabet Analogy 2

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Question | প্ৰশ্ন : If 34 × 15 = 495 and 43 × 12 = 504, then 98 × 17 = ? (যদি 34 × 15 = 495 আৰু 43 × 12 = 504 হয়, তেন্তে 98 × 17 = ?)

Options | বিকল্প: A. 1649  B. 1683  C. 1763  D. 1751

Trick | কৌশল

Multiply the two numbers, then subtract the second number. (প্ৰথমে দুয়োটা সংখ্যাক গুণ কৰক, তাৰ পিছত দ্বিতীয় সংখ্যাটো বিয়োগ কৰক।)

Solution | সমাধান

34 × 15 = 510, 510 − 15 = 495

43 × 12 = 516, 516 - 12 = 504 

So,

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

Ans | উত্তৰ: A. 1649

Question | প্ৰশ্ন : If (3)² @ 1 * 7 = 98, (4)² @ 2 * 16 = 178, then (5)² @ 3 * 9 = ?  যদি (3)² @ 1 * 7 = 98, (4)² @ 2 * 16 = 178 হয়, তেন্তে (5)² @ 3 * 9 = ?

Options | বিকল্প: A. 218  B. 262  C. 253  D. 259

Trick | কৌশল

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 | উত্তৰ : 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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