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Aptitude · Q156

Surds And Indices

Competitive Exams · Aptitude · question 156

Q156

Which of the following statement(s) is/are true I. (0.7)2 + (0.07)2 + (11.1)2 > 123.8 II. (1.12)2 + (10.3)2 + (1.05)2 > 108.3

A.
Only I
B.
Only II
Answer
C.
Both I and II
D.
Neither I nor II

Answer: Option B

Solution

Answer: Option B
Solution:
I. (0.7)2 + (0.07)2 + (11.1)2 > 123.8
L.H.S. = 0.49 + 0.0049 + 123.21
= 123.7049 R.H.S.
⇒ Statement I is incorrect
II. (1.12)2 + (10.3)2 + (1.05)2 > 108.3
L.H.S. = 1.2544 + 106.09 + 1.1025
= 108.4469 > R.H.S.
⇒ Statement II is true
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