Q. If 2025 = 16, 2026 = 36, then 2027 = ? Q. যদি 2025 = 16, 2026 = 36, তেন্তে 2027 = ?

Options | বিকল্প: (A) 25 (B) 49 (C) 64 (D) 81

Trick | ট্ৰিক

Take the last digit, subtract 3, multiply by 2, then square the result.

শেষ অংকটো লওঁ → 3 বিয়োগ কৰক → 2ৰে গুণ কৰক → তাৰ পিছত বৰ্গ (Square) কৰক।

• 2025: (5 − 3) × 2 = 4 = 4² $$=16$$


• 2026: (6 − 3) × 2 = 6 = 6² = 36


• 2027: (7 − 3) × 2 = 8 = 8² $$=64$$

Alternative Trick | আন এটা সহজ ট্ৰিক

The base numbers increase by 2: 4 → 6 → 8

Now square them:  4² = 16, 6² = 36, 8² = 64

Ans | উত্তৰ : (C) 64

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Q. If (যদি) 7 (110) 4  and(আৰু) 19 (930) 12, then(হয়, তেন্তে) 16 (A) 9, find (ৰ মান উলিয়াওক) A

Options | বিকল্পসমূহ: A) 580  B) 600  C) 640  D) 700

Solution | সমাধান

Observe the pattern | ধৰণটো লক্ষ্য কৰক -

1st : 7 (110) 4

• $7+4=11$


• 11 × (11−1) = 11×10 = 110

Middle number = 110

2nd :  19 (930) 12

• 19 + 12 = 31


• 31 × (31−1) = 31 × 30 = 930

Middle number = 930

Now | এতিয়া

3rd : 16 (A) 9

• 16 + 9 = 25


• 25 × (25 − 1) = 25×24 = 600

Therefore, A = 600

Ans | উত্তৰ : B) 600

Rule | নিয়ম : Middle Number = (First Number + Third Number) × (First Number + Third Number) − 1]

মাজৰ সংখ্যা = (প্ৰথম সংখ্যা + তৃতীয় সংখ্যা) × [(প্ৰথম সংখ্যা + তৃতীয় সংখ্যা) − 1]

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Q. If (যদি) 34 × 15 = 495, 43 × 12 = 504, then (তেন্তে) 98 × 17 = ?

Options | বিকল্পসমূহ: A) 1649 B) 1683 C) 1763 D) 1751

Solution | সমাধান

• 34 × 15 = 510, then (তাৰ পিছত) 510 − 15 = 495


• 43 × 12 = 516, then (তাৰ পিছত)  516 − 12 = 504

Rule | নিয়ম: Result = (First Number × Second Number) − Second Number [উত্তৰ = (প্ৰথম সংখ্যা × দ্বিতীয় সংখ্যা) − দ্বিতীয় সংখ্যা

Now | এতিয়া, : 98 × 17 = 1666, then (তাৰ পিছত) 1666 − 17 = 1649

Ans | উত্তৰ: A) 1649

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Q. If(যদি) (3)² @ 1 * 7 = 98, (4)² @ 2 * 16 = 178, then(তেন্তে) (5)² @ 3 * 9 = ? 

Options / বিকল্পসমূহ: A) 252  B) 260  C) 262  D) 272

Solution / সমাধান

Pattern:

• (3)² @ 1 * 7 : (3)² = 9 → 90, then 1 + 7 = 8 → 90 + 8 = 98


• (4)² @ 2 * 16 : (4)² = 16 → 160, then 2 + 16 = 18 → 160 + 18 = 178

Now, (5)² @ 3 * 9 : (5)² = 25 → 250, then 1 + 7 = 8 → 250 + 12 = 262

Shortcut Formula / সূত্ৰ : (a)²@b∗c = (a² × 10) + (b + c)

Square → Add one zero → Add the last two numbers. (বৰ্গ কৰক → এটা শূন্য (×10) যোগ কৰক → শেষৰ দুটা সংখ্যা যোগ কৰক।)

Ans / উত্তৰ: C) 262

Q) 3-5-10-12, 8-10-20-22, __ _?  A. 4-6-12-24  B. 18-20-40-42  C. 28-30-60-64  D. 6-10-12-24

Let's find the pattern: 3-5-10-12, 8-10-20-22, __ _?

Observe each group: 1st → 2nd: +2, 2nd → 3rd: ×2, 3rd → 4th: +2

Check:

• 3 → 5 (+2), 5 → 10 (×2), 10 → 12 (+2)


• 8 → 10 (+2), 10 → 20 (×2), 20 → 22 (+2)

Now check the options:

A) 4 → 6 (+2), 6 → 12 (×2), 12 → 24 (+12, not +2) Wrong

B) 18 → 20 (+2), 20 → 40 (×2), 40 → 42 (+2) Correct

C) 28 → 30 (+2), 30 → 60 (×2), 60 → 64 (+4) Wrong

D) 6 → 10 (+4) Wrong

Ans: B. 18 – 20 – 40 – 42

Q) 15 : 63 :: ? : 255

Trick

Observe: i. 15 = 16 − 1 = 4² − 1,  ii. 63 = 64 − 1 = 8² − 1

Base doubles: 4 → 8

Now, 255 = 256 − 1 = 16² − 1

So the missing number should be: 12² − 1 = 144 − 1 = 143

Thus, 15 : 63 :: 143 : 255

Ans: (A) 143

Q. If 5 + 3 = 28, 6 + 4 = 40, then 7 + 5 = ? (প্ৰশ্ন ২৩। যদি 5 + 3 = 28, 6 + 4 = 40, তেন্তে 7 + 5 = ?)

A) 54 | B) 58 | C) 60 | D) 62

Ans / উত্তৰ: D) 62

Explanation:

Pattern:

• 5 + 3 = 5² + 3 = 25+3 = 28


• 6 + 4 = 6² + 4 = 36 + 4 = 40


• Therefore, 7 + 5 = 7² + 5 = 49 + 5 = 54

Ans / উত্তৰ: A) 54

Q. Find the next number in the series: 4, 10, 28, 82, ? Options: A) 144  B) 162  C) 244  D) 730

Trick: ×3 -2

• 4 × 3 − 2 = 10


• 10 × 3 − 2 = 28


• 28 × 3 − 2 = 82


• 82 × 3 − 2 = 244

Ans: C) 244

Q. 4 + 2 = 24, 5 + 3 = 40, 6 + 4 = ? Options: A. 54  B. 60  C. 72  D. 48

Rule: a + b = a × (a + b)

• 4 + 2 = 4 × 6 = 24


• 5 + 3 = 5 × 8 = 40


• 6 + 4 = 6 × 10 = 60

Ans: B) 60

Q. If 7 × 5 × 4 = 57354, 8 × 7 × 3 = 78563, then 6 × 8 × 5 = ?

Options: A. 86585  B. 86855  C. 68485  D. 86485

Rule: Reverse the first two numbers → Multiply them → Write the last number after the product → Join both parts.

1st Half: 7 × 5 × 4 > Reverse → 57 > 7 × 5 = 35 > Add last number → 354 > Join → 57354

2nd Half: 8 × 7 × 3 > Reverse → 78 > 8 × 7 = 56 > Add last number → 563 > Join → 78563

Now, 6 × 8 × 5 > Reverse → 86 > 6 × 8 = 48 > Add last number → 485 > Join → 86485

Ans: D. 86485

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Q. What comes in place of S ?

A 5 B 1 C 6 D 2 ------------- S ?

Options: A. 14 B. 11 C. 10 D. 13

Trick

Rule: Take the alphabet position of the letter and multiply it by 5.

If the result has two digits, add the digits.

• A = 1 × 5 = 5


• B = 2 × 5 = 10 → 1 + 0 = 1


• C = 3 × 5 = 15 → 1 + 5 = 6


• D = 4 × 5 = 20 → 2 + 0 = 2


• -------------------------

Now,

• S = 19th letter


• 19 × 5 = 95


• 9 + 5 = 14

Ans: A. 14

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Q. If A = 121, B = 484, C = 1089, then G = ? and H = ?

Options: (A) 5539, 8894  (B) 5929, 7744   (C) 5549, 7564   (D) 6899, 7744

Trick

1st: Observe the pattern : ধাৰাটো লক্ষ্য কৰক: A = 11² = 121, B = 22² = 484, C = 33² = 1089

2nd: Rule: নিয়ম: Multiply the letter's position by 11, then square the result. (আখৰৰ স্থান × 11, তাৰ পিছত Square কৰক।)

3rd: Calculate : গণনা কৰক: G = 7 × 11 = 77 → 77² = 5929, H = 8 × 11 = 88 → 88² = 7744

Ans: (B) 5929, 7744