The number of integral... | Binomial Theorem JEE Main 2025

Back

JEE MAIN 2025

08-04-25 S2

Question

The number of integral terms in the expansion of $\left(5^{\frac{1}{2}}+7^{\frac{1}{8}}\right)^{1016}$ is

Select the correct option:

129

128

130

127

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

Start Preparing for JEE with Competishun

Filters 0

Showing 18 questions

QJEE MAIN 20242024

Let $f(x)=(x+3)^2(x-2)^3, x \in[-4,4]$. If $M$ and $m$ are the maximum and minimum values of $f$, respectively in $[-4,4]$, then...

JEE MainMathematicsEasy

View Solution→

QJee Main 20242024

The number of ways in which 21 identical apples can be distributed among three children such that each child gets...

JEE MainMathematicsEasy

View Solution→

QJEE Main 20242024

A 2 kg brick begins to slide over a surface which is inclined at an angle of 45° with respect...

JEE MainPhysicsEasy

View Solution→

QJEE-Main 20242024

The $20^{\text {th }}$ term from the end of the progression $20,19 \frac{1}{4}, 18 \frac{1}{2}, 17 \frac{3}{4}, \ldots,-129 \frac{1}{4}$ is...

JEE MainMathematicsEasy

View Solution→

QJEE-Main 20242024

Let R be the interior region between the lines $3 x-y+1=0$ and $x+2 y-5=0$ containing the origin. The set of...

JEE MainMathematicsMedium

View Solution→

QJEE-Main 20242024

Let the image of the point $(1,0,7)$ in the line $\frac{x}{1}=\frac{y-1}{2}=\frac{z-2}{3}$ be the point $(\alpha, \beta, \gamma)$. Then which one...

JEE MainMathematicsHard

View Solution→

QJEE-Main 20242024

Consider the function $\mathrm{f}:(0,2) \rightarrow \mathrm{R}$ defined by $f(x)=\frac{x}{2}+\frac{2}{x}$ and the function $g(x)$ defined by $g(x)= \left\{\begin{array}{cc}\min \{f(t)\}, & 0

JEE MainMathematicsEasy

View Solution→

QJEE Main 20242024

An electric bulb rated 50 W – 200 V is connected across a 100 V supply. The power dissipation of...

JEE MainPhysicsEasy

View Solution→

QJEE Main 20242024

The equivalent resistance between A and B is:

JEE MainPhysicsMedium

View Solution→

QJEE-Main 20242024

Considering only the principal values of inverse trigonometric functions, the number of positive real values of $x$ satisfying $...

JEE MainMathematicsEasy

View Solution→

QJee Main 20242024

Number of ways of arranging 8 identical books into 4 identical shelves where any number of shelves may remain empty...

JEE MainMathematicsHard

View Solution→

QJEE Main 20242024

Given below are two statements :
Statement I : The contact angle between a solid and a liquid is...

JEE MainPhysicsEasy

View Solution→

QJee Main 20242024

Let $A=\left[\begin{array}{ccc}2 & 1 & 2 \\ 6 & 2 & 11 \\ 3 & 3 & 2\end{array}\right]$ and $...

JEE MainMathematicsHard

View Solution→

QJEE Main 20242024

Correct formula for height of a satellite from earths surface is :

JEE MainPhysicsEasy

View Solution→

QJEE Main 20242024

Let $\vec{a}=\hat{\imath}+\alpha \hat{\jmath}+\beta \hat{k}, \alpha, \beta \in R$. Let a vector $\vec{b}$ be such that the angle between $\vec{a}$ and...

JEE MainMathematicsEasy

View Solution→

Q JEE Main 20242024

A bulb and a capacitor are connected in series across an ac supply. A dielectric is then placed between the...

JEE MainPhysicsEasy

View Solution→

QJEE Main 20242024

One main scale division of a vernier caliper is equal to $m$ units. If $n^{\text {th }}$ division of main...

JEE MainPhysicsMedium

View Solution→

QJEE MAIN 20242024

Let $A(\alpha, 0)$ and $B(0, \beta)$ be the points on the line $5 x+7 y=50$. Let the point $P$ divide...

JEE MainMathematicsEasy

View Solution→

Report Issue