List of top Questions asked in KEAM- 2020

In an arithmetic sequence, the sum of first and third terms is 6 and the sum of second and fourth terms is 20. Then the $11^{\text{th}}$ term is

The value of $\sum_{k=1}^{10}(3k^2+2k-1)$ is

If p, q and 23 is an increasing arithmetic sequence and p and q are prime numbers, then $p+q=$

In an A.P., the first term is 3 and the last term is 17. The sum of all the terms in the sequence is 70. Then the number of terms in the arithmetic sequence is

Consider the set of all positive rational numbers that are less than 1 and that have denominators as 30 in their lowest terms. Their sum is equal to

The principal argument of the complex number $z=\frac{1+\sin\pi-i\cos\pi}{1+\sin\pi+i\cos\pi}$ is

If $z_1=2+3i$ and $z_2=3+2i$, then $|z_1+z_2|$ is equal to

Let $z_1$ and $z_2$ be complex numbers satisfying $|z_1|=|z_2|=2$ and $|z_1+z_2|=3$. Then $\left|\frac{1}{z_1}+\frac{1}{z_2}\right|=$

$\frac{10i}{1+2i}$ is equal to

If $2+i$ is a root of $x^2-4x+c=0$, where $c$ is a real number, then the value of $c$ is

If $A=\{1,2,3,4,5\}$ and $B=\{2,4,6\}$, then $A-B=$

The real part of $e^{(3+4i)x}$ is

If $z=x-iy$ and $z^{1/3}=p+iq$, then $\frac{1}{p^{2}+q^{2}}\left(\frac{x}{p}+\frac{y}{q}\right)$ is equal to

Let $A=\{2,3,4,5\}$, $B=\{36,45,49,60,77,90\}$ and let $R$ be the relation 'is factor of' from $A$ to $B$. Then the range of $R$ is the set

Let z = x + iy be a complex number such that $|z+i|=2$. Then the locus of z is a circle whose centre and radius are

In a group of 100 persons, 80 people can speak Malayalam and 60 can speak English. Then the number of people who speak English only is

Let $f(x)=-2x^2+1$ and $g(x)=4x-3$, then $(g \circ f)(-1)$ is equal to

Let $A$ and $B$ be finite sets such that $n(A-B)=18$, $n(A \cap B)=25$ and $n(A \cup B)=70$. Then $n(B)$ is equal to

If $*$ is a binary operation defined by $a*b=\frac{a}{b}+\frac{b}{a}+\frac{1}{ab}$ for positive integers $a$ and $b$, then $2*5$ is equal to

The domain of the function $f(x)=\sqrt{x-1}$ is

The electric potential \(V\) at any point \((x,y,z)\) in space is given by \(V=4xz^2\) volt, where \(x,y,z\) are all in metre. The electric field at that point \((1\text{ m},0,2\text{ m})\) in \(\text{V m}^{-1}\) is

Which one of the following statements is not correct?

Which one of the following is an antifertility drug?

Which one of the following sets forms the biodegradable polymer?

Which one of the following is a greenhouse gas?