Directions : There are three quantities provided in the questions. You have to…
2018
Directions : There are three quantities provided in the questions. You have to find out the values of the quantities and compare them according to the given codes as follows
@ → >
& → <
* → ≥
$ → ≤
# → = (or relationship can’t be established)
Example :
Quantity I: 3² + 5³
Quantity II: 5² × 2²
Quantity III: 100
(a) @, $
(b) , #
(c) $, #
(d) &,
(e) @, #
Quantity I > Quantity II = Quantity III
So, answer is (e)
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Quantity I: 360 m⁷n⁹ ÷ 120 m¯² n³ × 24m¯⁴ n⁴; m>0, n<0
Quantity II: 240 x⁹y⁷ ÷ 60x⁴y³ ÷ 3x¯²y³; x<0, y<0
Quantity III: 48 a⁸b¹² × 5 a³ b¯⁴ ÷ 6a⁶b, a>0, b<0
- A.
(@, &)
- B.
(#, @)
- C.
($, @)
- D.
(&, @)
- E.
(*, #)
Attempted by 8 students.
Show answer & explanation
Correct answer: B
Quantity I simplifies to a positive expression because m > 0 and n has an even power.
Quantity II also simplifies to a positive expression because both x and y are negative in the remaining odd powers.
Their exact relationship cannot be fixed from the given variables.
Quantity III has an odd power of negative b, so it is negative. Hence Quantity I is greater than Quantity III.