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 isi2016-dcg
4
votes
1
answer
1
ISI2016-DCG-1
The sequence $\dfrac{1}{\log_{3} 2},\dfrac{1}{\log_{6} 2},\dfrac{1}{\log_{12} 2},\dfrac{1}{\log_{24} 2}\cdots$ is in Arithmetic progression (AP) Geometric progression (GP) Harmonic progression (HP) None of these
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
309
views
isi2016-dcg
quantitative-aptitude
logarithms
sequence-series
1
vote
2
answers
2
ISI2016-DCG-2
Let $S=\{6,10,7,13,5,12,8,11,9\},$ and $a=\sum_{x\in S}(x-9)^{2}\:\&\: b=\sum_{x\in S}(x-10)^{2}.$ Then $a<b$ $a>b$ $a=b$ None of these
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
630
views
isi2016-dcg
quantitative-aptitude
summation
inequality
0
votes
1
answer
3
ISI2016-DCG-3
The value of $\begin{vmatrix} 1+a& 1& 1& 1\\ 1&1+b &1 &1 \\ 1&1 &1+c &1 \\ 1&1 &1 &1+d \end{vmatrix}$ is $abcd(1+\frac{1}{a}+\frac{1}{b}+\frac{1}{c}+\frac{1}{d})$ $abcd(\frac{1}{a}+\frac{1}{b}+\frac{1}{c}+\frac{1}{d})$ $1+\frac{1}{a}+\frac{1}{b}+\frac{1}{c}+\frac{1}{d}$ None of these
gatecse
asked
in
Linear Algebra
Sep 18, 2019
by
gatecse
409
views
isi2016-dcg
linear-algebra
determinant
0
votes
1
answer
4
ISI2016-DCG-4
If $f(x)=\begin{bmatrix}\cos\:x & -\sin\:x & 0 \\ \sin\:x & \cos\:x & 0 \\ 0 & 0 & 1 \end{bmatrix}$ then the value of $\big(f(x)\big)^2$ is $f(x)$ $f(2x)$ $2f(x)$ None of these
gatecse
asked
in
Linear Algebra
Sep 18, 2019
by
gatecse
337
views
isi2016-dcg
linear-algebra
matrix
0
votes
2
answers
5
ISI2016-DCG-5
If $\tan\: x=p+1$ and $\tan\; y=p-1,$ then the value of $2\:\cot\:(x-y)$ is $2p$ $p^{2}$ $(p+1)(p-1)$ $\frac{2p}{p^{2}-1}$
gatecse
asked
in
Geometry
Sep 18, 2019
by
gatecse
443
views
isi2016-dcg
trigonometry
non-gate
1
vote
1
answer
6
ISI2016-DCG-6
The coefficient of $x^{2}$ in the product $(1+x)(1+2x)(1+3x)\cdots (1+10x)$ is $1320$ $1420$ $1120$ None of these
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
357
views
isi2016-dcg
quantitative-aptitude
number-system
0
votes
1
answer
7
ISI2016-DCG-7
Let $x^{2}-2(4k-1)x+15k^{2}-2k-7>0$ for any real value of $x$. Then the integer value of $k$ is $2$ $4$ $3$ $1$
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
257
views
isi2016-dcg
quantitative-aptitude
quadratic-equations
roots
1
vote
1
answer
8
ISI2016-DCG-8
Let $S=\{0,1,2,\cdots,25\}$ and $T=\{n\in S\: : \: n^{2}+3n+2\: \text{is divisible by}\: 6\}$. Then the number of elements in the set $T$ is $16$ $17$ $18$ $10$
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
248
views
isi2016-dcg
quantitative-aptitude
number-system
remainder-theorem
1
vote
1
answer
9
ISI2016-DCG-9
The $5000$th term of the sequence $1,2,2,3,3,3,4,4,4,4,\cdots$ is $98$ $99$ $100$ $101$
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
337
views
isi2016-dcg
quantitative-aptitude
sequence-series
0
votes
1
answer
10
ISI2016-DCG-10
Let $a$ be the $81$-digit number of which all the digits are equal to $1.$ Then the number $a$ is , divisible by $9$ but not divisible by $27$ divisible by $27$ but not divisible by $81$ divisible by $81$ None of the above
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
258
views
isi2016-dcg
quantitative-aptitude
number-system
remainder-theorem
1
vote
1
answer
11
ISI2016-DCG-11
Let two systems of linear equations be defined as follows: $\begin{array}{lll} & x+y & =1 \\ P: & 3x+3y & =3 \\ & 5x+5y & =5 \end{array}$ ... $P$ and $Q$ are inconsistent $P$ and $Q$ are consistent $P$ is consistent but $Q$ is inconsistent None of the above
gatecse
asked
in
Linear Algebra
Sep 18, 2019
by
gatecse
460
views
isi2016-dcg
linear-algebra
system-of-equations
1
vote
1
answer
12
ISI2016-DCG-12
The highest power of $3$ contained in $1000!$ is $198$ $891$ $498$ $292$
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
268
views
isi2016-dcg
quantitative-aptitude
number-system
remainder-theorem
0
votes
1
answer
13
ISI2016-DCG-13
For all the natural number $n\geq 3,\: n^{2}+1$ is divisible by $3$ not divisible by $3$ divisible by $9$ None of these
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
329
views
isi2016-dcg
quantitative-aptitude
number-system
remainder-theorem
0
votes
1
answer
14
ISI2016-DCG-14
For natural numbers $n,$ the inequality $2^{n}>2n+1$ is valid when $n\geq 3$ $n<3$ $n=3$ None of these
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
365
views
isi2016-dcg
quantitative-aptitude
inequality
0
votes
0
answers
15
ISI2016-DCG-15
The shaded region in the following diagram represents the relation $y\:\leq\: x$ $\mid \:y\mid \:\leq\: \mid x\:\mid $ $y\:\leq\: \mid x\:\mid$ $\mid \:y\mid\: \leq\: x$
gatecse
asked
in
Geometry
Sep 18, 2019
by
gatecse
365
views
isi2016-dcg
area
curves
non-gate
0
votes
1
answer
16
ISI2016-DCG-16
The set $\{(x,y)\: :\: \mid x\mid+\mid y\mid\:\leq\:1\}$ is represented by the shaded region in
gatecse
asked
in
Geometry
Sep 18, 2019
by
gatecse
280
views
isi2016-dcg
curves
area
non-gate
0
votes
1
answer
17
ISI2016-DCG-17
The smallest integer $n$ for which $1+2+2^{2}+2^{3}+2^{4}+\cdots+2^{n}$ exceeds $9999$, given that $\log_{10}2=0.30103$, is $12$ $13$ $14$ None of these
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
265
views
isi2016-dcg
quantitative-aptitude
summation
0
votes
0
answers
18
ISI2016-DCG-18
The value of $(1.1)^{10}$ correct to $4$ decimal places is $2.4512$ $1.9547$ $2.5937$ $1.4512$
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
318
views
isi2016-dcg
quantitative-aptitude
number-system
1
vote
2
answers
19
ISI2016-DCG-19
The expression $3^{2n+1}+2^{n+2}$ is divisible by $7$ for all positive integer values of $n$ all non-negative integer values of $n$ only even integer values of $n$ only odd integer values of $n$
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
439
views
isi2016-dcg
quantitative-aptitude
number-system
remainder-theorem
1
vote
1
answer
20
ISI2016-DCG-20
The total number of factors of $3528$ greater than $1$ but less than $3528$ is $35$ $36$ $34$ None of these
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
310
views
isi2016-dcg
quantitative-aptitude
number-system
factors
2
votes
1
answer
21
ISI2016-DCG-21
The value of the term independent of $x$ in the expansion of $(1-x)^{2}(x+\frac{1}{x})^{7}$ is $-70$ $70$ $35$ None of these
gatecse
asked
in
Combinatory
Sep 18, 2019
by
gatecse
459
views
isi2016-dcg
combinatory
binomial-theorem
1
vote
1
answer
22
ISI2016-DCG-22
The value of $\:\:\begin{vmatrix} 1&\log_{x}y &\log_{x}z \\ \log_{y}x &1 &\log_{y}z \\\log_{z}x & \log_{z}y&1 \end{vmatrix}\:\:$ is $0$ $1$ $-1$ None of these
gatecse
asked
in
Linear Algebra
Sep 18, 2019
by
gatecse
351
views
isi2016-dcg
linear-algebra
determinant
1
vote
1
answer
23
ISI2016-DCG-23
The value of $\log_{2}e-\log_{4}e+\log_{8}e-\log_{16}e+\log_{32}e-\cdots\:\:$ is $-1$ $0$ $1$ None of these
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
393
views
isi2016-dcg
quantitative-aptitude
logarithms
summation
2
votes
1
answer
24
ISI2016-DCG-24
If the letters of the word $\text{COMPUTER}$ be arranged in random order, the number of arrangements in which the three vowels $O, U$ and $E$ occur together is $8!$ $6!$ $3!6!$ None of these
gatecse
asked
in
Combinatory
Sep 18, 2019
by
gatecse
387
views
isi2016-dcg
combinatory
arrangements
1
vote
1
answer
25
ISI2016-DCG-25
If $\alpha$ and $\beta$ be the roots of the equation $x^{2}+3x+4=0,$ then the equation with roots $(\alpha+\beta)^{2}$ and $(\alpha-\beta)^{2}$ is $x^{2}+2x+63=0$ $x^{2}-63x+2=0$ $x^{2}-2x-63=0$ None of these
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
315
views
isi2016-dcg
quantitative-aptitude
quadratic-equations
roots
1
vote
2
answers
26
ISI2016-DCG-26
If $r$ be the ratio of the roots of the equation $ax^{2}+bx+c=0,$ then $\frac{r}{b}=\frac{r+1}{ac}$ $\frac{r+1}{b}=\frac{r}{ac}$ $\frac{(r+1)^{2}}{r}=\frac{b^{2}}{ac}$ $\left(\frac{r}{b}\right)^{2}=\frac{r+1}{ac}$
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
426
views
isi2016-dcg
quantitative-aptitude
quadratic-equations
roots
0
votes
1
answer
27
ISI2016-DCG-27
If $A$ be the set of triangles in a plane and $R^{+}$ be the set of all positive real numbers, then the function $f\::\:A\rightarrow R^{+},$ defined by $f(x)=$ area of triangle $x,$ is one-one and into one-one and onto many-one and onto many-one and into
gatecse
asked
in
Set Theory & Algebra
Sep 18, 2019
by
gatecse
305
views
isi2016-dcg
set-theory
functions
2
votes
1
answer
28
ISI2016-DCG-28
If one root of a quadratic equation $ax^{2}+bx+c=0$ be equal to the n th power of the other, then $(ac)^{\frac{n}{n+1}}+b=0$ $(ac)^{\frac{n+1}{n}}+b=0$ $(ac^{n})^{\frac{1}{n+1}}+(a^{n}c)^{\frac{1}{n+1}}+b=0$ $(ac^\frac{1}{n+1})^{n}+(a^\frac{1}{n+1}c)^{n+1}+b=0$
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
604
views
isi2016-dcg
quantitative-aptitude
quadratic-equations
roots
1
vote
0
answers
29
ISI2016-DCG-29
The condition that ensures that the roots of the equation $x^{3}-px^{2}+qx-r=0$ are in H.P. is $r^{2}-9pqr+q^{3}=0$ $27r^{2}-9pqr+3q^{3}=0$ $3r^{3}-27pqr-9q^{3}=0$ $27r^{2}-9pqr+2q^{3}=0$
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
228
views
isi2016-dcg
quantitative-aptitude
quadratic-equations
roots
0
votes
1
answer
30
ISI2016-DCG-30
Let $p,q,r,s$ be real numbers such that $pr=2(q+s).$ Consider the equations $x^{2}+px+q=0$ and $x^{2}+rx+s=0.$ Then at least one of the equations has real roots. both these equations have real roots. neither of these equations have real roots. given data is not sufficient to arrive at any conclusion.
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
373
views
isi2016-dcg
quantitative-aptitude
quadratic-equations
roots
Page:
1
2
3
next »
Subscribe to GATE CSE 2024 Test Series
Subscribe to GO Classes for GATE CSE 2024
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
Post GATE 2024 Guidance [Counseling tips and resources]
GATE CSE 2024 Result Responses
[Project Contest] Pytorch backend support for MLCommons Cpp Inference implementation
Participating in MLCommons Inference v4.0 submission (deadline is February 23 12pm IST)
IIITH PGEE 2024 Test Series by GO Classes
Subjects
All categories
General Aptitude
(3.5k)
Engineering Mathematics
(10.4k)
Digital Logic
(3.6k)
Programming and DS
(6.2k)
Algorithms
(4.8k)
Theory of Computation
(6.9k)
Compiler Design
(2.5k)
Operating System
(5.2k)
Databases
(4.8k)
CO and Architecture
(4.0k)
Computer Networks
(4.9k)
Artificial Intelligence
(79)
Machine Learning
(48)
Data Mining and Warehousing
(25)
Non GATE
(1.4k)
Others
(2.7k)
Admissions
(684)
Exam Queries
(1.6k)
Tier 1 Placement Questions
(17)
Job Queries
(80)
Projects
(11)
Unknown Category
(870)
64.3k
questions
77.9k
answers
244k
comments
80.0k
users
Recent questions tagged isi2016-dcg
Recent Blog Comments
category ?
Hi @Arjun sir, I have obtained a score of 591 in ...
download here
Can you please tell about IIT-H mtech CSE self...
Please add your admission queries here:...