Competishun Header

Report Issue

JEE Advance 2013
Paper-1
Multiple correct answers - Select all that apply
Question
A rectangular sheet of fixed perimeter with sides having their lengths in the ratio $8: 15$ is converted into an open rectangular box by folding after removing squares of equal area from all four corners. If the total area of removed squares is 100, the resulting box has maximum volume. The lengths of the sides of the rectangular sheet are
Select ALL correct options:
A
24
B
32
C
45
D
60
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
⚠ Partially correct. Some answers are missing.
Solution

Question Tags
JEE Advance
Mathematics
Easy
Start Preparing for JEE with Competishun
Filters 0
JEE Main
JEE Advance
Easy
Medium
Hard
Showing 18 questions
QJEE Advance 20102010
The complex showing a spin-only magnetic moment of 2.82 B.M. is
JEE AdvanceChemistryEasy
View Solution
QJEE Advance 20092009
The Henry's law constant for the solubility of $\mathrm{N}_2$ gas in water at 298 K is $1.0 \times 10^5 \mathrm{~atm}$....
JEE AdvanceChemistryEasy
View Solution
QJEE Advance 20102010
The packing efficiency of the two-dimensional square unit cell shown below is
JEE AdvanceChemistryEasy
View Solution
Q JEE ADVANCE 20102010
The concentration of potassium ions inside a biological cell is at least twenty times higher than the outside. The resulting...
JEE AdvanceChemistryEasy
View Solution
QJEE Advance 20122012
Let $a_n$ denote the number of all $n$-digit positive integers formed by the digits 0,1 or both such that no...
JEE AdvanceMathematicsEasy
View Solution
Q JEE ADVANCE 20102010
Among the following, the intensive property is (properties are)
JEE AdvanceChemistryEasy
View Solution
QJEE Advance 20102010
Assuming that Hund's rule is violated, the bond order and magnetic nature of the diatomic molecule $B_2$ is
JEE AdvanceChemistryEasy
View Solution
QJEE Advance 20122012
Let $\mathrm{a}_{\mathrm{n}}$ denote the number of all n -digit positive integers formed by the digits 0,1 or both such that...
JEE AdvanceMathematicsEasy
View Solution
Q JEE ADVANCE 20102010
The reagent(s) used for softening the temporary hardness of water is(are)
JEE AdvanceChemistryEasy
View Solution
QJEE Advance 20132013
Consider the lines $L_1: \frac{x-1}{2}=\frac{y}{-1}=\frac{z+3}{1}, L_2: \frac{x-4}{1}=\frac{y+3}{1}=\frac{z+3}{2}$ and the planes $P_1: 7 x+y+2 z=3$, $P_2: 3 x+5 y-6 z=4$. Let...
JEE AdvanceMathematicsEasy
View Solution
Q JEE ADVANCE 20102010
Aqueous solutions of $\mathrm{HNO}_3, \mathrm{KOH}, \mathrm{CH}_3 \mathrm{COOH}$, and $\mathrm{CH}_3 \mathrm{COONa}$ of identical concentrations are provided. The pair (s) of solutions...
JEE AdvanceChemistryEasy
View Solution
QJEE Advance 20132013
Match List I with List II and select the correct answer using the code given below the lists :
JEE AdvanceMathematicsEasy
View Solution
QJEE Advance 20122012
Let $f(x)=(1-x)^2 \sin ^2 x+x^2$ for all $x \in$ IR and let $g(x)=\int_1^x\left(\frac{2(t-1)}{t+1}-\ell\right.$ nt $) f(t) d t$ for all...
JEE AdvanceMathematicsEasy
View Solution
QJEE Advance 20132013
A line $L: y=m x+3$ meets $y$ - axis at $E(0,3)$ and the arc of the parabola $...
JEE AdvanceMathematicsEasy
View Solution
QJEE ADVANCE 20102010
The ionization isomer of $\left[\mathrm{Cr}\left(\mathrm{H}_2 \mathrm{O}\right)_4 \mathrm{Cl}\left(\mathrm{NO}_2\right)\right] \mathrm{Cl}$ is
JEE AdvanceChemistryEasy
View Solution
QJEE ADVANCE 20102010
In the Newman projection for 2,2-dimethylbutane
JEE AdvanceChemistryEasy
View Solution
QJEE Advance 20122012
Let $f(x)=(1-x)^2 \sin ^2 x+x^2$ for all $x \in$ IR and let $g(x)=\int_1^x\left(\frac{2(t-1)}{t+1}-\ell\right.$ nt $) f(t) d t$ for all...
JEE AdvanceMathematicsEasy
View Solution
QJEE Advance 20102010
The compounds P, Q and S
JEE AdvanceChemistryEasy
View Solution