Competishun Header

Report Issue

JEE MAIN 2025
29-01-2025 SHIFT-1
Question
Let $A = \left[ {{a_{ij}}} \right] = \left[ {\begin{array}{*{20}{c}} {{{\log }_5}128}&{{{\log }_4}5}\\ {{{\log }_5}8}&{{{\log }_4}25} \end{array}} \right]$.
If ${A_{ij}}$ is the cofactor of ${a_{ij}},{C_{ij}} = \sum\limits_{k = 1}^2 {{a_{ik}}} {A_{jk}},1 \le i,j \le 2$, and $C = \left[ {{C_{ij}}} \right]$, then 8|C| is equal to :
Select the correct option:
A
222
B
242
C
288
D
262
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
Solution Image
Question Tags
JEE Main
Mathematics
Medium
Start Preparing for JEE with Competishun
Video Solution
BY competishun
Video Solution
Watch Solution
Filters 0
JEE Main
JEE Advance
Easy
Medium
Hard
Showing 18 questions
Q JEE MAIN 20262026
Given below are two statements
Statement I: $\mathrm{H}_2 \mathrm{O}$ molecules move from the chamber 1 to chamber 2 .
Statement II:...
JEE MainChemistryMedium
View Solution→
QJEE MAIN 20212021
Which of the following molecules does not show stereo isomerism ?
JEE MainChemistryEasy
View Solution→
QJEE MAIN 2021 2021
Given below are two statements :
Statement-I : α and β forms of sulphur can change reversibly between themselves with...
JEE MainChemistryEasy
View Solution→
QJEE MAIN 20212021
Which one of the following statements is not true about enzymes ?
JEE MainChemistryEasy
View Solution→
Q JEE MAIN 20212021
The solubility product of $\mathrm{Pbl}_2$ is $8.0 \times 10^{-9}$. The solubility of lead iodide in 0.1 molar solution of lead...
JEE MainChemistryHard
View Solution→
QJEE MAIN 20222022
In Carius method of estimation of halogen. 0.45 g of an organic compound gave 0.36 g of AgBr. Find out...
JEE MainChemistryEasy
View Solution→
QJEE MAIN 20232023
The number of units, which are used to express concentration of solutions from the following is _______.
Mass percent,...
JEE MainChemistryEasy
View Solution→
QJEE MAIN 20222022
250 g solution of D-glucose in water contains 10.8% of carbon by weight. The molality of the solution is nearest...
JEE MainChemistryHard
View Solution→
QJEE MAIN 2019 2019
A compound ' $X$ ' on treatment with $\mathrm{Br}_2 / \mathrm{NaOH}$, provided $\mathrm{C}_3 \mathrm{H}_9 \mathrm{~N}$, which gives positive carbylamine test....
JEE MainChemistryMedium
View Solution→
QJEE MAIN 20232023
In the following reaction, 'A' is
JEE MainChemistryMedium
View Solution→
QJEE MAIN 20212021
Which one of the following reactions does not occur ?
JEE MainChemistryEasy
View Solution→
QJEE MAIN 2021 2021
The major products A and B formed in the following reaction sequence are :
JEE MainChemistryEasy
View Solution→
QJEE MAIN 2021 2021
Correct statement about the given chemical reaction is :
JEE MainChemistryEasy
View Solution→
QJEE MAIN 2021 2021
Carbylamine test is used to detect the presence of primary amino group in an organic compound. Which of the following...
JEE MainChemistryEasy
View Solution→
QJEE-MAIN 20202020
Three isomers A. B and C (mol. formula $\mathrm{C}_2 \mathrm{H}_7, \mathrm{~N}$ ) give the following results
JEE MainChemistryEasy
View Solution→
QJEE MAIN 20212021
In the chemical reactions given above A and B respectively are :
JEE MainChemistryEasy
View Solution→
QJEE MAIN 2019 2019
Benzene diazonium chloride on reaction with aniline in the presence of dilute hydrochloric acid gives :
JEE MainChemistryEasy
View Solution→
QJEE MAIN 20222022
Stability of $\alpha$ - Helix structure of proteins depends upon
JEE MainChemistryEasy
View Solution→