The common difference of the A ... | Sequences & Series | JEE Main 2026

Competishun Header

JEE MAIN 2026

28-1-2026 S1

Question

The common difference of the A.P: $a_1, a_2, \ldots, a_{\mathrm{m}}$ is 13 more than the common difference of the A.P. $b_1, b_2, \ldots, b_n$. If $b_{31}=-277, b_{43}=-385$ and $a_{78}=327$, then $a_1$ is equal to

Select the correct option:

A

21

B

24

C

19

D

26

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

Start Preparing for JEE with Competishun

Video Solution

BY competishun

Watch Solution

YouTube

Filters 0

Showing 18 questions

QJEE Advance 20202020

A solution of 0.1 M weak base (B) is titrated with 0.1 M of a strong acid (HA). The variation...

JEE AdvanceChemistryEasy

View Solution→

QJEE Advanced 20202020

Choose the correct statement(s) among the following :

JEE AdvanceChemistryEasy

View Solution→

QJEE Advance 20082008

Match the compounds in Column I with their characteristic test(s)/reactions(s) given in Column II. Indicate your answer by darkening the...

JEE AdvanceChemistryEasy

View Solution→

QJEE Advance 20082008

Match the entries in Column I with the correctly related quantum number(s) in Column II. Indicate your answer by darkening...

JEE AdvanceChemistryEasy

View Solution→

QJEE Advance 20082008

Match the conversions in Column I with the type(s) of reaction(s) given in Column II. Indicate your answer by darkening...

JEE AdvanceChemistryEasy

View Solution→

QJEE Advance 20082008

In hexagonal systems of crystals, a frequently encountered arrangement of atoms is described as a hexagonal prism. Here, the top...

JEE AdvanceChemistryEasy

View Solution→

QJEE Advance 20082008

In hexagonal systems of crystals, a frequently encountered arrangement of atoms is described as a hexagonal prism. Here, the top...

JEE AdvanceChemistryEasy

View Solution→

QJEE Advance 20082008

In hexagonal systems of crystals, a frequently encountered arrangement of atoms is described as a hexagonal prism. Here, the top...

JEE AdvanceChemistryEasy

View Solution→

QJEE Advance 20082008

STATEMENT-1 : Aniline on reaction with $\mathrm{NaNO}_2 / \mathrm{HCl}$ at $0^{\circ} \mathrm{C}$ followed by coupling with $\beta$-naphthol gives a dark...

JEE AdvanceChemistryEasy

View Solution→

QJEE Advance 20082008

STATEMENT-1 For an observer looking out through the window of a fast moving train, the nearby objects appear to move...

JEE AdvancePhysicsEasy

View Solution→

QJEE Advance 20082008

STATEMENT-1: There is a natural asymmetry between converting work to heat and converting heat to work and
STATEMENT-2: No...

JEE AdvanceChemistryEasy

View Solution→

QJEE Advance 20082008

STATEMENT-1: The geometrical isomers of the complex $\left[\mathrm{M}\left(\mathrm{NH}_3\right)_4 \mathrm{Cl}_2\right]$ are optically inactive. and
STATEMENT-2: Both geometrical isomers of the...

JEE AdvanceChemistryEasy

View Solution→

QJEE Advance 20082008

STATEMENT-1 The sensitivity of a moving-coil galvanometer is increased by placing a suitable magnetic material as a core inside the...

JEE AdvancePhysicsEasy

View Solution→

QJEE Advance 20082008

STATEMENT-1: $\left[\mathrm{Fe}\left(\mathrm{H}_2 \mathrm{O}\right)_5 \mathrm{NO}\right] \mathrm{SO}_4$ is paramagnetic.
and
STATEMENT-2: The Fe in $\left[\mathrm{Fe}\left(\mathrm{H}_2 \mathrm{O}\right)_5 \mathrm{NO}\right] \mathrm{SO}_4$ has three...

JEE AdvanceChemistryEasy

View Solution→

QJEE Advance 20082008

STATEMENT-1 For practical purposes, the earth is used as a reference at zero potential in electrical circuits. and STATEMENT-2 The...

JEE AdvancePhysicsEasy

View Solution→

QJEE Advance 20082008

Cellulose upon acetylation with excess acetic anhydride/ $\mathrm{H}_2 \mathrm{SO}_4$ (catalytic) gives cellulose triacetate whose structure is

JEE AdvanceChemistryEasy

View Solution→

QJEE Advance 20082008

STATEMENT -1 It is easier to pull a heavy object than to push it on a level ground. and STATEMENT...

JEE AdvancePhysicsEasy

View Solution→

QJEE Advance 20082008

A radioactive sample S 1 having an activity of $5 \mu \mathrm{Ci}$ has twice the number of nuclei as another...

JEE AdvancePhysicsEasy

View Solution→