Question

If 16α1 = 8, 14α6 = 42 and 12α5 = 30, then find the value of 2α6 = ?

A) 6 B) 18 C) 4 D) 10

Answer 1

Gɪᴠᴇɴ :-

• 16α1 = 8
• 14α6 = 42
• 12α5 = 30

Tᴏ Fɪɴᴅ :-

• t find the value of 2α6 = ?

ᴄᴏɴᴄᴇᴘᴛ ᴜsᴇᴅ :-

• x α y = (x * y) / 2

Sᴏʟᴜᴛɪᴏɴ :-

Checking Logic for given first,

→ 16α1

→ (16 * 1) / 2

→ 16/2

→ 8

Similarly,

→ 14α6

→ (14 * 6) / 2

→ 84/2

→ 42

Similarly,

→ 12α5

→ (12 * 5) / 2

→ 60/2

→ 30

Hence,

→ 2α6

→ (2 * 6) / 2

→ 12/2

→ 6 (A) (Ans.)

Answer 2

${\huge{\bf{\red{\underline{Solution:}}}}}$

${\bf{\blue{\underline{Given:}}}}$

$\star \: \: {\sf{\green{16 \alpha1 = 8}}}$

$\star \: \: {\sf{\green{14 \alpha6 = 42}}}$

$\star \: \: {\sf{\green{12 \alpha5= 30}}}$

${\bf{\blue{\underline{To\:Find:}}}}$

$\star \: \: {\sf{\green{2 \alpha6 = ?}}}$

${\bf{\blue{\underline{Now:}}}}$

$\dagger \: \: {\sf{16 \alpha1 = 8}}$

$: \implies{\sf{ \frac{16}{2 } =8,8\times1=8}}$

___________________________________

$\dagger \: \: {\sf{14 \alpha6= 42}}$

$: \implies{\sf{ \frac{14}{2 } =7,7\times6=42}}$

___________________________________

$\dagger \: \: {\sf{12\alpha5= 30}}$

$: \implies{\sf{ \frac{12}{2} =6,6\times5=30}}$

__________________________________

$\dagger \: \: {\sf{2\alpha6= ?}}$

$: \implies{\sf{ \frac{2}{2 } =1,6\times1=6}}$

$\bigstar \underline{\frak{ \: \: option \: (a) \: is \: correct. }}$