Login
Register
@
Dark Mode
Profile
Edit my Profile
Messages
My favorites
Register
Activity
Q&A
Questions
Unanswered
Tags
Subjects
Users
Ask
Previous Years
Blogs
New Blog
Exams
Dark Mode
Recent questions tagged isi2018-dcg
3
votes
2
answers
1
ISI2018-DCG-1
The digit in the unit place of the number $7^{78}$ is $1$ $3$ $7$ $9$
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
400
views
isi2018-dcg
quantitative-aptitude
number-system
unit-digit
4
votes
1
answer
2
ISI2018-DCG-2
If $P$ is an integer from $1$ to $50$, what is the probability that $P(P+1)$ is divisible by $4$? $0.25$ $0.50$ $0.48$ none of these
gatecse
asked
in
Probability
Sep 18, 2019
by
gatecse
436
views
isi2018-dcg
probability
number-system
0
votes
1
answer
3
ISI2018-DCG-3
If the co-efficient of $p^{th}, (p+1)^{th}$ and $(p+2)^{th}$ terms in the expansion of $(1+x)^n$ are in Arithmetic Progression (A.P.), then which one of the following is true? $n^2+4(4p+1)+4p^2-2=0$ $n^2+4(4p+1)+4p^2+2=0$ $(n-2p)^2=n+2$ $(n+2p)^2=n+2$
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
327
views
isi2018-dcg
quantitative-aptitude
sequence-series
arithmetic-series
2
votes
1
answer
4
ISI2018-DCG-4
The number of terms with integral coefficients in the expansion of $\left(17^\frac{1}{3}+19^\frac{1}{2}x\right)^{600}$ is $99$ $100$ $101$ $102$
gatecse
asked
in
Combinatory
Sep 18, 2019
by
gatecse
408
views
isi2018-dcg
combinatory
binomial-theorem
1
vote
1
answer
5
ISI2018-DCG-5
Let $A$ be the set of all prime numbers, $B$ be the set of all even prime numbers, and $C$ be the set of all odd prime numbers. Consider the following three statements in this regard: $A=B\cup C$. $B$ ... statements is true. Exactly one of the above statements is true. Exactly two of the above statements are true. All the above three statements are true.
gatecse
asked
in
Set Theory & Algebra
Sep 18, 2019
by
gatecse
1.0k
views
isi2018-dcg
set-theory
2
votes
1
answer
6
ISI2018-DCG-6
A die is thrown thrice. If the first throw is a $4$ then the probability of getting $15$ as the sum of three throws is $\frac{1}{108}$ $\frac{1}{6}$ $\frac{1}{18}$ none of these
gatecse
asked
in
Probability
Sep 18, 2019
by
gatecse
347
views
isi2018-dcg
probability
1
vote
2
answers
7
ISI2018-DCG-7
You are given three sets $A,B,C$ in such a way that the set $B \cap C$ consists of $8$ elements, the set $A\cap B$ consists of $7$ elements, and the set $C\cap A$ consists of $7$ elements. The minimum number of elements in the set $A\cup B\cup C$ is $8$ $14$ $15$ $22$
gatecse
asked
in
Set Theory & Algebra
Sep 18, 2019
by
gatecse
389
views
isi2018-dcg
set-theory
1
vote
2
answers
8
ISI2018-DCG-8
A Pizza Shop offers $6$ different toppings, and they do not take an order without any topping. I can afford to have one pizza with a maximum of $3$ toppings. In how many ways can I order my pizza? $20$ $35$ $41$ $21$
gatecse
asked
in
Combinatory
Sep 18, 2019
by
gatecse
330
views
isi2018-dcg
combinatory
2
votes
1
answer
9
ISI2018-DCG-9
Let $f(x)=1+x+\dfrac{x^2}{2}+\dfrac{x^3}{3}...+\dfrac{x^{2018}}{2018}.$ Then $f’(1)$ is equal to $0$ $2017$ $2018$ $2019$
gatecse
asked
in
Calculus
Sep 18, 2019
by
gatecse
416
views
isi2018-dcg
calculus
functions
differentiation
1
vote
1
answer
10
ISI2018-DCG-10
Let $f’(x)=4x^3-3x^2+2x+k,$ $f(0)=1$ and $f(1)=4.$ Then $f(x)$ is equal to $4x^4-3x^3+2x^2+x+1$ $x^4-x^3+x^2+2x+1$ $x^4-x^3+x^2+2(x+1)$ none of these
gatecse
asked
in
Calculus
Sep 18, 2019
by
gatecse
251
views
isi2018-dcg
calculus
differentiation
polynomials
1
vote
0
answers
11
ISI2018-DCG-11
The sum of $99^{th}$ power of all the roots of $x^7-1=0$ is equal to $1$ $2$ $-1$ $0$
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
236
views
isi2018-dcg
quantitative-aptitude
polynomials
roots
1
vote
1
answer
12
ISI2018-DCG-12
Let $A=\{10,11,12,13, \dots ,99\}$. How many pairs of numbers $x$ and $y$ are possible so that $x+y\geq 100$ and $x$ and $y$ belong to $A$? $2405$ $2455$ $1200$ $1230$
gatecse
asked
in
Combinatory
Sep 18, 2019
by
gatecse
394
views
isi2018-dcg
combinatory
0
votes
1
answer
13
ISI2018-DCG-13
In a certain town, $20\%$ families own a car, $90\%$ own a phone, $5 \%$ own neither a car nor a phone and $30, 000$ families own both a car and a phone. Consider the following statements in this regard: $10 \%$ families own both a car and a phone. $95 \%$ ... (iii) are correct and (ii) is wrong. (ii) & (iii) are correct and (i) is wrong. (i), (ii) & (iii) are correct.
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
324
views
isi2018-dcg
quantitative-aptitude
percentage
1
vote
1
answer
14
ISI2018-DCG-14
In a room there are $8$ men, numbered $1,2, \dots ,8$. These men have to be divided into $4$ teams in such a way that every team has exactly $2$ ... of such $4$-team combinations is $\frac{8!}{2^4}$ $\frac{8!}{2^4(4!)}$ $\frac{8!}{4!}$ $\frac{8!}{(4!)^2}$
gatecse
asked
in
Combinatory
Sep 18, 2019
by
gatecse
313
views
isi2018-dcg
combinatory
1
vote
1
answer
15
ISI2018-DCG-15
The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines is $6$ $9$ $12$ $18$
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
250
views
isi2018-dcg
quantitative-aptitude
number-system
geometry
parallelograms
2
votes
2
answers
16
ISI2018-DCG-16
Let $A=\begin{pmatrix} 1 & 1 & 0\\ 0 & a & b\\1 & 0 & 1 \end{pmatrix}$. Then $A^{-1}$ does not exist if $(a,b)$ is equal to $(1,-1)$ $(1,0)$ $(-1,-1)$ $(0,1)$
gatecse
asked
in
Linear Algebra
Sep 18, 2019
by
gatecse
333
views
isi2018-dcg
linear-algebra
matrix
inverse
2
votes
1
answer
17
ISI2018-DCG-17
The value of $^{13}C_{3} + ^{13}C_{5} + ^{13}C_{7} +\dots + ^{13}C_{13}$ is $4096$ $4083$ $2^{13}-1$ $2^{12}-1$
gatecse
asked
in
Combinatory
Sep 18, 2019
by
gatecse
331
views
isi2018-dcg
combinatory
binomial-theorem
1
vote
1
answer
18
ISI2018-DCG-18
If $x+y=\pi, $ the expression $\cot \dfrac{x}{2}+\cot\dfrac{y}{2}$ can be written as $2 \: \text{cosec} \: x$ $\text{cosec} \: x + \text{cosec} \: y$ $2 \: \sin x$ $\sin x+\sin y$
gatecse
asked
in
Geometry
Sep 18, 2019
by
gatecse
194
views
isi2018-dcg
trigonometry
non-gate
0
votes
1
answer
19
ISI2018-DCG-19
The area of the region formed by line segments joining the points of intersection of the circle $x^2+y^2-10x-6y+9=0$ with the two axes in succession in a definite order (clockwise or anticlockwise) is $16$ $9$ $3$ $12$
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
229
views
isi2018-dcg
circle-intersection
non-gate
2
votes
1
answer
20
ISI2018-DCG-20
The value of $\tan \left(\sin^{-1}\left(\frac{3}{5}\right)+\cot^{-1}\left(\frac{3}{2}\right)\right)$ is $\frac{1}{18}$ $\frac{11}{6}$ $\frac{13}{6}$ $\frac{17}{6}$
gatecse
asked
in
Geometry
Sep 18, 2019
by
gatecse
182
views
isi2018-dcg
trigonometry
inverse
non-gate
0
votes
0
answers
21
ISI2018-DCG-21
A box with a square base of length $x$ and height $y$ has an open top and its volume is $32$ cubic centimetres, as shown in the figure below. The values of $x$ and $y$ that minimize the surface area of the box are $x=4$ cm $\&$ $y=2 $ cm $x=3$ cm $\&$ $y=\frac{32}{9} $ cm $x=2$ cm $\&$ $y=8 $ cm none of these.
gatecse
asked
in
Geometry
Sep 18, 2019
by
gatecse
168
views
isi2018-dcg
cubes
non-gate
0
votes
1
answer
22
ISI2018-DCG-22
Let the sides opposite to the angles $A,B,C$ in a triangle $ABC$ be represented by $a,b,c$ respectively. If $(c+a+b)(a+b-c)=ab,$ then the angle $C$ is $\frac{\pi}{6}$ $\frac{\pi}{3}$ $\frac{\pi}{2}$ $\frac{2\pi}{3}$
gatecse
asked
in
Geometry
Sep 18, 2019
by
gatecse
204
views
isi2018-dcg
triangle
non-gate
0
votes
1
answer
23
ISI2018-DCG-23
Let $A$ be the point of intersection of the lines $3x-y=1$ and $y=1$. Let $B$ be the point of reflection of the point $A$ with respect to the $y$-axis. Then the equation of the straight line through $B$ that produces a right angled triangle $ABC$ with $\angle ABC=90^{\circ}$, and $C$ lies on the line $3x-y=1$, is $3x-3y=2$ $2x+3=0$ $3x+2=0$ $3y-2=0$
gatecse
asked
in
Geometry
Sep 18, 2019
by
gatecse
184
views
isi2018-dcg
lines
triangle
non-gate
0
votes
1
answer
24
ISI2018-DCG-24
Let $[x]$ denote the largest integer less than or equal to $x.$ The number of points in the open interval $(1,3)$ in which the function $f(x)=a^{[x^2]},a\gt1$ is not differentiable, is $0$ $3$ $5$ $7$
gatecse
asked
in
Calculus
Sep 18, 2019
by
gatecse
247
views
isi2018-dcg
calculus
differentiation
0
votes
1
answer
25
ISI2018-DCG-25
There are three circles of equal diameter ($10$ units each) as shown in the figure below. The straight line $PQ$ passes through the centres of all the three circles. The straight line $PR$ is a tangent to the third circle at $C$ ... $B$ as shown in the figure.Then the length of the line segment $AB$ is $6$ units $7$ units $8$ units $9$ units
gatecse
asked
in
Geometry
Sep 18, 2019
by
gatecse
293
views
isi2018-dcg
circle
lines
non-gate
0
votes
1
answer
26
ISI2018-DCG-26
The area of the region bounded by the curves $y=\sqrt x,$ $2y+3=x$ and $x$-axis in the first quadrant is $9$ $\frac{27}{4}$ $36$ $18$
gatecse
asked
in
Geometry
Sep 18, 2019
by
gatecse
299
views
isi2018-dcg
curves
area
non-gate
0
votes
1
answer
27
ISI2018-DCG-27
$\sum_{n=1}^{\infty}\frac{1}{n(n+1)}$ is $2$ $1$ $\infty$ not a convergent series
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
213
views
isi2018-dcg
quantitative-aptitude
sequence-series
summation
0
votes
1
answer
28
ISI2018-DCG-28
Let $f(x)=e^{-\big( \frac{1}{x^2-3x+2} \big) };x\in \mathbb{R} \: \: \& x \notin \{1,2\}$. Let $a=\underset{n \to 1^+}{\lim}f(x)$ and $b=\underset{x \to 1^-}{\lim} f(x)$. Then $a=\infty, \: b=0$ $a=0, \: b=\infty$ $a=0, \: b=0$ $a=\infty, \: b=\infty$
gatecse
asked
in
Calculus
Sep 18, 2019
by
gatecse
189
views
isi2018-dcg
calculus
limits
functions
0
votes
0
answers
29
ISI2018-DCG-29
Let $f(x)=(x-1)(x-2)(x-3)g(x); \: x\in \mathbb{R}$ where $g$ is twice differentiable function. Then there exists $y\in(1,3)$ such that $f’’(y)=0.$ there exists $y\in(1,2)$ such that $f’’(y)=0.$ there exists $y\in(2,3)$ such that $f’’(y)=0.$ none of the above is true.
gatecse
asked
in
Calculus
Sep 18, 2019
by
gatecse
238
views
isi2018-dcg
calculus
differentiation
2
votes
1
answer
30
ISI2018-DCG-30
Let $0.01^x+0.25^x=0.7$ . Then $x\geq1$ $0\lt x\lt1$ $x\leq0$ no such real number $x$ is possible.
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
327
views
isi2018-dcg
quantitative-aptitude
number-system
inequality
To see more, click for the
full list of questions
or
popular tags
.
Subscribe to GATE CSE 2023 Test Series
Subscribe to GO Classes for GATE CSE 2023
Quick search syntax
tags
tag:apple
author
user:martin
title
title:apple
content
content:apple
exclude
-tag:apple
force match
+apple
views
views:100
score
score:10
answers
answers:2
is accepted
isaccepted:true
is closed
isclosed:true
Recent Posts
DRDO Previous Year Papers
From Rank 4200 to 64: My Journey to Success in GATE CSE Exam
What are the key things to focus on during the final 10-15 days before the GATE exam to improve performance?
All India GO Classes Mock test
NTA UGC NET JRF December 2022 Apply Online Form 2023
Subjects
All categories
General Aptitude
(2.5k)
Engineering Mathematics
(9.3k)
Digital Logic
(3.3k)
Programming and DS
(5.9k)
Algorithms
(4.6k)
Theory of Computation
(6.7k)
Compiler Design
(2.3k)
Operating System
(5.0k)
Databases
(4.6k)
CO and Architecture
(3.8k)
Computer Networks
(4.6k)
Non GATE
(1.3k)
Others
(2.4k)
Admissions
(649)
Exam Queries
(842)
Tier 1 Placement Questions
(17)
Job Queries
(74)
Projects
(9)
Unknown Category
(853)
Recent questions tagged isi2018-dcg
Recent Blog Comments
When this exam will happen ?
Can Someone guide me how to prepare for interview...
It's not a standard resource, don't follow them.
https://byjus.com/maths/diagonalization/
@amit166 can you share the reference of the...