Number Analogy 2

---

1. If 12 + 21 = 333 and 23 + 32 = 555, then 15 + 51 = ? [যদি 12 + 21 = 333 আৰু 23 + 32 = 555 হয়, তেন্তে 15 + 51 = ?]

A) 222  B) 444  C) 666  D) 888

Solution / সমাধান

Given / দিয়া আছে: $$12+21=333$$ , $$23+32=555$$

Pattern / আৰ্হি: $$12+21=(1+2)\times 111$$ $$=3\times 111=333$$

Similarly, $$23+32=(2+3)\times 111$$ $$=5\times 111=555$$

Now, $$15+51=(1+5)\times 111$$ $$=6\times 111$$ = 666

Ans: ​C) 666

 Q. If 4 + 5 = 41 and 5 + 6 = 61, then 7 + 8 = ? (যদি 4 + 5 = 41 আৰু 5 + 6 = 61 হয়, তেন্তে 7 + 8 = ?)

A) 113  B) 120  C) 125  D) 133

Solution / সমাধান

Observe the pattern: $$4+5\to (4\times 5)\times 2+1$$ $$=20\times 2+1=41$$

Similarly, $$5+6\to (5\times 6)\times 2+1$$ $$=30\times 2+1=61$$

$$Now:\; 7+8\to (7\times 8)\times 2+1$$ $$=56\times 2+1$$ $$=$$ 113​

Ans: A) 113

Trick / ট্ৰিক : Multiply the two numbers × 2, then add 1. (দুটা সংখ্যাক গুণ কৰি × 2, তাৰ পিছত 1 যোগ কৰক।)

==============================

Q. 88 : 8 :: 888 : ?

(A) 2  (B) 7  (C) 10  (D) 12

The intended pattern is: $$88:8$$

Trick / ট্ৰিক

88 → Add digits → Divide by 2

$$8+8=16$$ $$16÷2=8$$

Apply the same pattern to 888:

$$8+8+8=24$$ 

24÷2=12​

Ans: (D) 12

Shortcut

Add all digits and divide by 2​

88 → $16÷2=8$

888 → 24÷2=12​

======================

Q. If  5 + 3 + 2 = 151022,  9 + 2 + 4 = 183674,  8 + 6 + 3 = 482423

Then 7 + 2 + 5 = ?

A) 143567  B) 143545  C) 143555  D) 143535

Solution

Pattern:

1st part = First × Second

2nd part = First × Third

3rd part = (First − Second) × 10 + Third

For 7 + 2 + 5:

• 7 × 2 = 14


• 7 × 5 = 35


• (7 − 2) × 10 + 5 = 55

So,

7 + 2 + 5 = 14 | 35 | 55 = 143555

Ans: C) 143555

====================================

Q. Find the relationship: (15, 24, 33) = ?