Available Questions 199 found Page 6 of 10
Standalone Questions
#1195
Mathematics
ALL › one › two
MCQ_SINGLE
APPLY
MEDIUM
2026
JEE Main 2026 (Online) 22 January Morning Shift
KNOWLEDGE
4 Marks
If sum of first 4 terms of an A.P. is 6 and sum of first 6 terms is 4, then sum of first 12 terms of an A.P. is :
(A) -22
(B) -21
(C) -23
(D) -24
Key:
Sol:
Sol:
#1191
Chemistry
ALL
MCQ_SINGLE
APPLY
MEDIUM
2026
JEE Main 2026 (Online) 21st January Morning Shift
KNOWLEDGE
4 Marks
Consider the following statements: (A) Propanal and propanone are functional isomers; (B) Ethoxyethane and methoxypropane are metamers; (C) But-2-ene shows optical isomerism; (D) But-1-ene and but-2-ene are functional isomers; (E) Pentane and 2,2-dimethylpropane are chain isomers. The correct statements are:
(A) A, B, D only
(B) B, C, D only
(C) A, B, E only
(D) A, B, D, E only
Key:
Sol:
Sol:
#1190
Chemistry
ALL
MCQ_SINGLE
REMEMBER
EASY
2026
JEE Main 2026 (Online) 21st January Morning Shift
KNOWLEDGE
4 Marks
$C_{6}H_{12}O_{3}$ gives positive iodoform test. On hydrolysis with dilute acid, the product formed gives both Tollens' test and iodoform test. Find the correct structure.
(A) Structure 1
(B) Structure 2
(C) Structure 3
(D) Structure 4
Key:
Sol:
Sol:
#1187
Mathematics
ALL › one › two
MCQ_SINGLE
REMEMBER
EASY
2026
JEE Main 2026 (Online) 21st January Morning Shift
KNOWLEDGE
4 Marks
In the binomial expansion of $(ax^{2}+bx+c)(1-2x)^{26}$, the coefficients of $x$, $x^{2}$, $x^{3}$ are 56, 0 and 0 respectively. Then the value of $(a+b+c)$ is:
(A) $1500$
(B) $1403$
(C) $1300$
(D) $1483$
Key:
Sol:
Sol:
#1185
Chemistry
ALL
NUMERICAL
APPLY
MEDIUM
2026
JEE Main 2026 (Online) 21st January Morning Shift
KNOWLEDGE
4 Marks
Out of the following, how many compounds have tetrahedral geometry? $NH4^{+}$, $XeF4$, $[NiCl4]^{2-}$, $[PtCl4]^{2-}$, $[Cu(NH3)4]^{2+}$, $BF3$, $[Ni(CO)4]$
Key:
Sol:
Sol:
#1177
Chemistry
ALL
MCQ_SINGLE
APPLY
MEDIUM
2026
JEE Main 2026 (Online) 21st January Morning Shift
KNOWLEDGE
4 Marks
Given below are two statements. Statement I: All the pairs of molecules $(PbO,PbO_{2})$; $(SnO,SnO_{2})$ and $(GeO,GeO_{2})$ contain amphoteric oxides. Statement II: $AlCl_{3}$, $BH_{3}$, $BeH_{2}$ and $NO_{2}$ all have incomplete octet.
(A) Both Statement I and Statement II are correct
(B) Both Statement I and Statement II are incorrect
(C) Statement I is correct but Statement II is incorrect
(D) Statement I is incorrect but Statement II is correct
Key:
Sol:
Sol:
#1176
Physics
ALL
MCQ_SINGLE
APPLY
MEDIUM
2026
JEE Main 2026 (Online) 21st January Morning Shift
KNOWLEDGE
4 Marks
An ideal solenoid is kept with its axis vertical. A current $I_{0}$ is flowing in the solenoid. A charge q is thrown vertically downward inside the solenoid. The acceleration of the charged particle is:
(A) $g$ downward
(B) $g$ upward
(C) Zero
(D) Depends on current $I_{0}$
Key:
Sol:
Sol:
#1166
Chemistry
ALL
MCQ_SINGLE
APPLY
MEDIUM
2026
JEE Main 2026 (Online) 21st January Morning Shift
KNOWLEDGE
4 Marks
In the following reaction, $MnO4^{2-} \xrightarrow{H^{+}}$ ?. Manganate ion undergoes disproportionation to form:
(A) $MnO_2, MnO_4^-$
(B) $MnO_4^-, MnO_2$
(C) $MnO_2, MnO$
(D) $MnO_4^-, MnO$
Key:
Sol:
Sol:
#1156
Mathematics
ALL › one › two
MCQ_SINGLE
APPLY
MEDIUM
2026
JEE Main 2026 (Online) 21st January Morning Shift
KNOWLEDGE
4 Marks
Consider a set $S=\{a,b,c,d\}$. Then the number of reflexive as well as symmetric relations from $S\rightarrow S$ is:
(A) $1024$
(B) $256$
(C) $16$
(D) $64$
Key:
Sol:
Sol:
#1155
Chemistry
ALL
MCQ_SINGLE
APPLY
MEDIUM
2026
JEE Main 2026 (Online) 21st January Morning Shift
KNOWLEDGE
4 Marks
Given below are two statements: Statement I: Arginine and Tryptophan are essential amino acids. Statement II: Glycine does not have any chiral carbon.
(A) Both statement-I and statement-II are correct
(B) Both statement-I and statement-II are incorrect
(C) Statement-I is correct and statement-II is incorrect
(D) Statement-I is incorrect and statement-II is correct
Key:
Sol:
Sol:
#1154
Mathematics
ALL › one › two
MCQ_SINGLE
REMEMBER
EASY
2026
JEE Main 2026 (Online) 21st January Morning Shift
KNOWLEDGE
4 Marks
If $L_{1}$ and $L_{2}$ are two parallel lines and $\triangle ABC$ is an equilateral triangle as shown in the figure, then the area of triangle ABC is:
(A) $7\sqrt{3}$
(B) $4\sqrt{3}$
(C) $21\sqrt{3}$
(D) $84$
Key:
Sol:
Sol:
#1152
Chemistry
ALL
MCQ_SINGLE
APPLY
MEDIUM
2026
JEE Main 2026 (Online) 21st January Morning Shift
KNOWLEDGE
4 Marks
Which of the following is the correct order with respect to the property indicated?
(A) $Cl>F$ (Ionisation energy)
(B) $K_{2}O>Na_{2}O>Al_{2}O_{3}$ (Basic nature)
(C) $K>Na>Al>Mg$ (Metallic character)
(D) None of these
Key:
Sol:
Sol:
#1151
Mathematics
ALL › one › two
NUMERICAL
APPLY
MEDIUM
2026
JEE Main 2026 (Online) 21st January Morning Shift
KNOWLEDGE
4 Marks
The sum of roots of the equation $|x-1|^{2}-5|x-1|+6=0$ is:
Key:
Sol:
Sol:
#1147
Mathematics
ALL › one › two
MCQ_SINGLE
REMEMBER
EASY
2026
JEE Main 2026 (Online) 21st January Morning Shift
KNOWLEDGE
4 Marks
Evaluate the limit: $\lim_{x\rightarrow0}\frac{sin(2x)-2~sin~x}{x^{3}}$
(A) $1$
(B) $-1$
(C) $0$
(D) $2$
Key:
Sol:
Sol:
#1144
Physics
ALL
MCQ_SINGLE
APPLY
MEDIUM
2026
JEE Main 2026 (Online) 21st January Morning Shift
KNOWLEDGE
4 Marks
Two capacitors $C$ and $2C$ charged to $V$ and $2V$ respectively are connected in parallel with opposite polarity. The common potential is:
(A) $V$
(B) $\frac{V}{2}$
(C) $2V$
(D) $3V$
Key:
Sol:
Sol:
#1141
Mathematics
Limit, Continuity, and Differentiability
MCQ_SINGLE
APPLY
MEDIUM
2026
JEE Main 2026 (Online) 21st January Morning Shift
KNOWLEDGE
4 Marks
Evaluate the limit: $\lim_{x\to 0} \frac{\sin(2x) - 2 \sin x}{x^3}$
(A) 1
(B) $-1$
(C) $0$
(D) 2
Key:
Sol:
Sol:
#1081
Mathematics
Sets, Relations, and Functions
NUMERICAL
APPLY
HARD
2023
JEE Main 2023 (Online) 15th April Morning Shift
KNOWLEDGE
4 Marks
The number of elements in the set $\left\{n \in \mathbb{N}: 10 \leq n \leq 100\right.$ and $3^{n}-3$ is a multiple of 7$\}$ is ___________.
Key:
Sol:
Sol:
#1078
Mathematics
Sets, Relations, and Functions
NUMERICAL
APPLY
KNOWLEDGE
1 Marks
The number of relations on the set A={1,2,3}, containing at most 6 elements including (1,2) which are reflexive and transitive but not symmetric, is ________.
Key:
Sol:
Sol:
#1077
Mathematics
Sets, Relations, and Functions
MCQ_SINGLE
APPLY
2004
AIEEE
KNOWLEDGE
4 Marks
Let $R = \{(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)\}$ be a relation on the set $A = \{1, 2, 3, 4\}$. The relation $R$ is:
(A) a function
(B) transitive
(C) not symmetric
(D) reflexive
Key: C
Sol:
Sol:
To determine if the relation $R$ is symmetric, we need to check if for every $(x, y)$ in $R$, the pair $(y, x)$ is also in $R$.
$R = \{(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)\}$.
We have $(1, 3)$ in $R$, and $(3, 1)$ is also in $R$.
We have $(4, 2)$ in $R$, but $(2, 4)$ is also in $R$.
However, we have $(2, 3)$ in $R$, but $(3, 2)$ is not in $R$.
Since there exists a pair $(2, 3)$ in $R$ such that $(3, 2)$ is not in $R$, the relation $R$ is not symmetric.
Therefore, the correct answer is Option C: $R$ is not symmetric.
#1076
Mathematics
Sets, Relations, and Functions
MCQ_SINGLE
APPLY
2005
AIEEE
KNOWLEDGE
4 Marks
Let $R = \{(3, 3), (6, 6), (9, 9), (12, 12), (6, 12), (3, 9), (3, 12), (3, 6)\}$ be a relation on the set $A = \{3, 6, 9, 12\}$. The relation is :
(A) reflexive and symmetric only
(B) an equivalence relation
(C) reflexive only
(D) reflexive and transitive only
Key: D
Sol:
Sol:
To determine the properties of the relation $R$, we need to check for reflexivity, symmetry, and transitivity.
Reflexivity: A relation is reflexive if $(a, a) \in R$ for all $a \in A$. Since $(3, 3), (6, 6), (9, 9),$ and $(12, 12)$ are all in $R$, the relation is reflexive.
Symmetry: A relation is symmetric if whenever $(a, b) \in R$, then $(b, a) \in R$. We have $(6, 12) \in R$, but $(12, 6) \notin R$. Thus, the relation is not symmetric.
Transitivity: A relation is transitive if whenever $(a, b) \in R$ and $(b, c) \in R$, then $(a, c) \in R$. We have $(3, 6) \in R$ and $(6, 12) \in R$, and $(3, 12) \in R$. Also, $(3, 6) \in R$ and $(6, 6) \in R$, and $(3, 6) \in R$. The relation appears to be transitive.
Therefore, the relation $R$ is reflexive and transitive, but not symmetric.
So, the correct answer is Option D: $R$ is reflexive and transitive only.