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Rahul Sood

· started a discussion

· 1 Months ago

check it once

Question:

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


1515 × 15? = 1520

Options:
A)

1.3

B)

12

C)

10

D)

5

E)

None of these

Solution:

Ans: (d)

\(15^{15}\times15^{?} \ = \ 15^{20} \)

\(15^{(15+?)} \ \ = \ \ 15^{20}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\therefore \ \ a^x.a^y \ \ = \ \ a^{x+y}]\)

\(\Rightarrow \ \ 15+? \ \ = \ \ 20\)

\(\Rightarrow\ \ ? \ \ = \ \ 20-15 \ \ = \ \ 5\)

Knowledge Expert

· commented

· 1 Months ago

its in power.....a typing error...it has been resolved...

Q&Sol is:

15^15 × 15^? = 15^20

⇒ 15^? = 15^20/15^15 = 15^(20 – 15) =15^5

∴ ? = 5

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