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(A) 40 मीटर
(B) 40.9 मीटर
(C) 40.09 मीटर
(D) 39.91 मीटर
27. 42,84 तथा 154 का महत्तम समापवर्तक है-
(A) 42
(B) 28
(C) 14
(D) 7
28.
12,16,18,27 और 36 का लघुतम समापवर्त्य है-
(A) 108
(B) 216
(C) 432
(D) 864

(A) $40$ मीटर $\newline$ (B) $40$ . $9$ मीटर $\newline$ (C) $40$ . $09$ मीटर $\newline$ (D) $39$ . $91$ मीटर $\newline$ $27$ . $42$ , $84$ तथा $154$ का महत्तम समापवर्तक है- $\newline$ (A) $42$ $\newline$ (B) $28$ $\newline$ (C) $14$ $\newline$ (D) $7$ $\newline$ $28$ . $12,16,18,27$ और $36$ का लघुतम समापवर्त्य है- $\newline$ (A) $108$ $\newline$ (B) $216$ $\newline$ (C) $432$ $\newline$ (D) $864$

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Transformations of functions

Full solution

Q. (A)

40

मीटर

\newline

(B)

40

.

9

मीटर

\newline

(C)

40

.

09

मीटर

\newline

(D)

39

.

91

मीटर

\newline

27

.

42

,

84

तथा

154

का महत्तम समापवर्तक है-

\newline

(A)

42

\newline

(B)

28

\newline

(C)

14

\newline

(D)

7

\newline

28

.

12,16,18,27

और

36

का लघुतम समापवर्त्य है-

\newline

(A)

108

\newline

(B)

216

\newline

(C)

432

\newline

(D)

864

Calculate GCD of $42$ , $84$ , $154$ : Calculate the GCD of $42$ , $84$ , and $154$ . $\newline$ List the prime factors of each number: $\newline$ $42 = 2 \times 3 \times 7$ $\newline$ $84 = 2^2 \times 3 \times 7$ $\newline$ $154 = 2 \times 7 \times 11$ $\newline$ Identify the common prime factors and their lowest powers: $\newline$ Common prime factors are $2$ and $7$ . $\newline$ GCD = $2 \times 7 = 14$
List prime factors: Calculate the LCM of $12$ , $16$ , $18$ , $27$ , and $36$ . $\newline$ List the prime factors of each number: $\newline$ $12 = 2^2 \times 3$ $\newline$ $16 = 2^4$ $\newline$ $18 = 2 \times 3^2$ $\newline$ $27 = 3^3$ $\newline$ $36 = 2^2 \times 3^2$ $\newline$ Identify the highest powers of all prime factors: $\newline$ Highest powers are $16$ $0$ , $16$ $1$ . $\newline$ LCM = $16$ $2$

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\frac{d y}{d x}=2 x y-6 x

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\newline

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