Miscellaneous Question 44
- Quantity I : Value of $\frac{(28)^{4}-(28)^{3}}{(42)^{3}}$
Quantity II : Value of $3^{2}$
(1) Quantity I > Quantity II
(2) Quantity I $<$ Quantity II
(3) Quantity I $\leq$ Quantity II
(4) Quantity I $\geq$ Quantity II
(5) Quantity I = Quantity II or No relation.
(IBPS Bank PO/MT CWE (Main Exam) 26.11.2017)
Show Answer
Correct Answer: 44. (2)
Solution: 44. (2) Quantity I : $\frac{28^{4}-28^{3}}{42^{3}}$
$=\frac{28^{3}(28-1)}{(7 \times 2 \times 3)^{3}}=\frac{7^{3} \times 4^{3} \times 3^{3}}{7^{3} \times 2^{3} \times 3^{3}}$
$=\frac{2^{6}}{2^{3}}=2^{3}=8$
Quantity II $=3^{2}=9$
$\therefore$ Quantity I $<$ Quantity II
BETA
