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sushmitha

· started a discussion

· 1 Months ago

detailed solution (Question: 125841.0 )

i dint understand pls provide detail solution

Question:

Direction : What should come in place of the question mark (?) in the following question?


(1.8)5.6 × (3.24)-2.1 ÷ (5.832)-1 = (1.8)?

Options:
A) 3.6 
B) 4.2 
C) 4.4
D) 4.8 
E) None of these
Solution:

(1.8)5.6 × ((1.8)2)-2.1 ÷ ((1.8)3)-1 = (1.8)?

? = 5.6 – 4.2 + 3 = 4.4

Talented Boy

· commented

· 1 Months ago

Its really nice solution.....

PREETAM BASWAL

· commented

· 1 Months ago

good solution

Knowledge Expert

· commented

· 1 Months ago

Ok see:

Q is: (1.8)^5.6 × (3.24)^-2.1 ÷ (5.832)^-1 = (1.8)^?

[Since, 18*18=324, so 1.8*1.8 =3.24
18*18*18=5832, so 1.8*1.8*1.8=5.832]

Express all in terms of 1.8.

so, (1.8)^5.6 × (1.8*1.8)^-2.1 ÷ (1.8*1.8*1.8)^-1 = (1.8)^?

so, (1.8)^5.6 × (1.8)^(2*-2.1) ÷ (1.8)^(3*-1) = (1.8)^?

so, (1.8)^5.6 × (1.8)^-4.2 x (1.8)^3 = (1.8)^?

so, (1.8)^(5.6-4.2+3) = (1.8)^?

so, (1.8)^4.4 = (1.8)^?

when bases are equal then powers also equal.

so, ?=4.4
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