The Gateway to Computer Science Excellence
For all GATE CSE Questions
Toggle navigation
Facebook Login
or
Email or Username
Password
Remember
Login
Register

I forgot my password
Activity
Questions
Unanswered
Tags
Subjects
Users
Ask
Prev
Blogs
New Blog
Exams
Recent questions tagged numericalability
Webpage for Numerical Ability
+2
votes
3
answers
1
GATE2020CSGA9
Two straight lines are drawn perpendicular to each other in $XY$ plane. If $\alpha$ and $\beta$ are the acute angles the straight lines make with the $\text{X}$ axis, then $\alpha + \beta$ is_______. $60^{\circ}$ $90^{\circ}$ $120^{\circ}$ $180^{\circ}$
asked
Feb 12
in
Numerical Ability
by
Arjun
Veteran
(
435k
points)

956
views
gate2020cs
geometry
cartesiancoordinates
numericalability
0
votes
2
answers
2
TIFR2020A15
The sequence $s_{0},s_{1},\dots , s_{9}$ is defined as follows: $s_{0} = s_{1} + 1$ $2s_{i} = s_{i1} + s_{i+1} + 2\:\: \text{for}\: 1 \leq i \leq 8$ $2s_{9} = s_{8} + 2$ What is $s_{0}?$ $81$ $95$ $100$ $121$ $190$
asked
Feb 11
in
Numerical Ability
by
Lakshman Patel RJIT
Veteran
(
61.3k
points)

64
views
tifr2020
generalaptitude
numericalability
numbersystem
0
votes
1
answer
3
TIFR2020A9
A contiguous part, i.e., a set of adjacent sheets, is missing from Tharoor's GRE preparation book. The number on the first missing page is $183,$ and it is known that the number on the last missing page has the same three digits, but in a different order. Note that every ... at the front and one at the back. How many pages are missing from Tharoor's book? $45$ $135$ $136$ $198$ $450$
asked
Feb 11
in
Verbal Ability
by
Lakshman Patel RJIT
Veteran
(
61.3k
points)

44
views
tifr2020
generalaptitude
numericalability
0
votes
1
answer
4
TIFR2020A6
What is the maximum number of regions that the plane $\mathbb{R}^{2}$ can be partitioned into using $10$ lines? $25$ $50$ $55$ $56$ $1024$ Hint: Let $A(n)$ be the maximum number of partitions that can be made by $n$ lines. Observe that $A(0) = 1, A(2) = 2,A(2) = 4$ etc. Come up with a recurrence equation for $A(n).$
asked
Feb 10
in
Numerical Ability
by
Lakshman Patel RJIT
Veteran
(
61.3k
points)

30
views
tifr2020
generalaptitude
numericalability
numbersystem
+2
votes
3
answers
5
ISRO202055
If $x+2y=30$, then $\left(\dfrac{2y}{5}+\dfrac{x}{3} \right) + \left (\dfrac{x}{5}+\dfrac{2y}{3} \right)$ will be equal to $8$ $16$ $18$ $20$
asked
Jan 13
in
Numerical Ability
by
Satbir
Boss
(
25.4k
points)

426
views
isro2020
numericalability
easy
+4
votes
3
answers
6
ISI2014DCG10
The number of divisors of $6000$, where $1$ and $6000$ are also considered as divisors of $6000$ is $40$ $50$ $60$ $30$
asked
Sep 23, 2019
in
Numerical Ability
by
Arjun
Veteran
(
435k
points)

259
views
isi2014dcg
numericalability
numbersystem
factors
+1
vote
2
answers
7
ISI2014DCG16
The sum of the series $\dfrac{1}{1.2} + \dfrac{1}{2.3}+ \cdots + \dfrac{1}{n(n+1)} + \cdots $ is $1$ $1/2$ $0$ nonexistent
asked
Sep 23, 2019
in
Numerical Ability
by
Arjun
Veteran
(
435k
points)

134
views
isi2014dcg
numericalability
summation
+1
vote
2
answers
8
ISI2014DCG22
The conditions on $a$, $b$ and $c$ under which the roots of the quadratic equation $ax^2+bx+c=0 \: ,a \neq 0, \: b \neq 0 $ and $c \neq 0$, are unequal magnitude but of the opposite signs, are the following: $a$ and $c$ have the same sign while $b$ has the ... $c$ has the opposite sign. $a$ and $c$ have the same sign. $a$, $b$ and $c$ have the same sign.
asked
Sep 23, 2019
in
Numerical Ability
by
Arjun
Veteran
(
435k
points)

69
views
isi2014dcg
numericalability
quadraticequations
+1
vote
1
answer
9
ISI2014DCG23
The sum of the series $\:3+11+\dots +(8n5)\:$ is $4n^2n$ $8n^2+3n$ $4n^2+4n5$ $4n^2+2$
asked
Sep 23, 2019
in
Numerical Ability
by
Arjun
Veteran
(
435k
points)

98
views
isi2014dcg
numericalability
arithmeticseries
+1
vote
1
answer
10
ISI2014DCG26
Let $x_1 > x_2>0$. Then which of the following is true? $\log \big(\frac{x_1+x_2}{2}\big) > \frac{\log x_1+ \log x_2}{2}$ $\log \big(\frac{x_1+x_2}{2}\big) < \frac{\log x_1+ \log x_2}{2}$ There exist $x_1$ and $x_2$ such that $x_1 > x_2 >0$ and $\log \big(\frac{x_1+x_2}{2}\big) = \frac{\log x_1+ \log x_2}{2}$ None of these
asked
Sep 23, 2019
in
Numerical Ability
by
Arjun
Veteran
(
435k
points)

75
views
isi2014dcg
numericalability
logarithms
+1
vote
1
answer
11
ISI2014DCG30
Consider the equation $P(x) =x^3+px^2+qx+r=0$ where $p,q$ and $r$ are all real and positive. State which of the following statements is always correct. All roots of $P(x) = 0$ are real The equation $P(x)=0$ has at least one real root The equation $P(x)=0$ has no negative real root The equation $P(x)=0$ must have one positive and one negative real root
asked
Sep 23, 2019
in
Numerical Ability
by
Arjun
Veteran
(
435k
points)

59
views
isi2014dcg
numericalability
quadraticequations
roots
+1
vote
1
answer
12
ISI2014DCG36
Consider any integer $I=m^2+n^2$, where $m$ and $n$ are odd integers. Then $I$ is never divisible by $2$ $I$ is never divisible by $4$ $I$ is never divisible by $6$ None of the above
asked
Sep 23, 2019
in
Numerical Ability
by
Arjun
Veteran
(
435k
points)

54
views
isi2014dcg
numericalability
numbersystem
remaindertheorem
0
votes
1
answer
13
ISI2014DCG54
The number of real roots of the equation $1+\cos ^2x+\cos ^3 x – \cos^4x=5$ is equal to $0$ $1$ $3$ $4$
asked
Sep 23, 2019
in
Numerical Ability
by
Arjun
Veteran
(
435k
points)

113
views
isi2014dcg
numericalability
trigonometry
roots
0
votes
1
answer
14
ISI2014DCG55
If $a,b,c$ are sides of a triangle $ABC$ such that $x^22(a+b+c)x+3 \lambda (ab+bc+ca)=0$ has real roots then $\lambda < \frac{4}{3}$ $\lambda > \frac{5}{3}$ $\lambda \in \big( \frac{4}{3}, \frac{5}{3}\big)$ $\lambda \in \big( \frac{1}{3}, \frac{5}{3}\big)$
asked
Sep 23, 2019
in
Numerical Ability
by
Arjun
Veteran
(
435k
points)

45
views
isi2014dcg
numericalability
geometry
quadraticequations
0
votes
1
answer
15
ISI2014DCG56
Two opposite vertices of a rectangle are $(1,3)$ and $(5,1)$ while the other two vertices lie on the straight line $y=2x+c$. Then the value of $c$ is $4$ $3$ $4$ $3$
asked
Sep 23, 2019
in
Numerical Ability
by
Arjun
Veteran
(
435k
points)

35
views
isi2014dcg
numericalability
geometry
rectangles
lines
+1
vote
1
answer
16
ISI2014DCG58
Consider a circle with centre at origin and radius $2\sqrt{2}$. A square is inscribed in the circle whose sides are parallel to the $X$ an $Y$ axes. The coordinates of one of the vertices of this square are $(2, 2)$ $(2\sqrt{2},2)$ $(2, 2\sqrt{2})$ $(2\sqrt{2}, 2\sqrt{2})$
asked
Sep 23, 2019
in
Numerical Ability
by
Arjun
Veteran
(
435k
points)

46
views
isi2014dcg
numericalability
geometry
circle
squares
0
votes
1
answer
17
ISI2014DCG60
The equation of any circle passing through the origin and with its centre on the $X$axis is given by $x^2+y^22ax=0$ where $a$ must be positive $x^2+y^22ax=0$ for any given $a \in \mathbb{R}$ $x^2+y^22by=0$ where $b$ must be positive $x^2+y^22by=0$ for any given $b \in \mathbb{R}$
asked
Sep 23, 2019
in
Numerical Ability
by
Arjun
Veteran
(
435k
points)

40
views
isi2014dcg
numericalability
geometry
circle
0
votes
1
answer
18
ISI2014DCG61
If $l=1+a+a^2+ \dots$, $m=1+b+b^2+ \dots$, and $n=1+c+c^2+ \dots$, where $\mid a \mid <1, \: \mid b \mid < 1, \: \mid c \mid <1$ and $a,b,c$ are in arithmetic progression, then $l, m, n$ are in arithmetic progression geometric progression harmonic progression none of these
asked
Sep 23, 2019
in
Numerical Ability
by
Arjun
Veteran
(
435k
points)

96
views
isi2014dcg
numericalability
arithmeticseries
0
votes
1
answer
19
ISI2014DCG62
If the sum of the first $n$ terms of an arithmetic progression is $cn^2$, then the sum of squares of these $n$ terms is $\frac{n(4n^21)c^2}{6}$ $\frac{n(4n^2+1)c^2}{3}$ $\frac{n(4n^21)c^2}{3}$ $\frac{n(4n^2+1)c^2}{6}$
asked
Sep 23, 2019
in
Numerical Ability
by
Arjun
Veteran
(
435k
points)

37
views
isi2014dcg
numericalability
arithmeticseries
+1
vote
0
answers
20
ISI2014DCG65
The sum $\dfrac{n}{n^2}+\dfrac{n}{n^2+1^2}+\dfrac{n}{n^2+2^2}+ \cdots + \dfrac{n}{n^2+(n1)^2} + \cdots \cdots$ is $\frac{\pi}{4}$ $\frac{\pi}{8}$ $\frac{\pi}{6}$ $2 \pi$
asked
Sep 23, 2019
in
Numerical Ability
by
Arjun
Veteran
(
435k
points)

70
views
isi2014dcg
numericalability
summation
nongate
0
votes
1
answer
21
ISI2014DCG67
Let $y=[\:\log_{10}3245.7\:]$ where $[ a ]$ denotes the greatest integer less than or equal to $a$. Then $y=0$ $y=1$ $y=2$ $y=3$
asked
Sep 23, 2019
in
Numerical Ability
by
Arjun
Veteran
(
435k
points)

25
views
isi2014dcg
numericalability
logarithms
0
votes
1
answer
22
ISI2014DCG68
The number of integer solutions for the equation $x^2+y^2=2011$ is $0$ $1$ $2$ $3$
asked
Sep 23, 2019
in
Numerical Ability
by
Arjun
Veteran
(
435k
points)

39
views
isi2014dcg
numericalability
integersolutions
+1
vote
1
answer
23
ISI2014DCG69
The number of ways in which the number $1440$ can be expressed as a product of two factors is equal to $18$ $720$ $360$ $36$
asked
Sep 23, 2019
in
Numerical Ability
by
Arjun
Veteran
(
435k
points)

59
views
isi2014dcg
numericalability
numbersystem
factors
0
votes
1
answer
24
ISI2015MMA2
If $a,b$ are positive real variables whose sum is a constant $\lambda$, then the minimum value of $\sqrt{(1+1/a)(1+1/b)}$ is $\lambda \: – 1/\lambda$ $\lambda + 2/\lambda$ $\lambda+1/\lambda$ None of the above
asked
Sep 23, 2019
in
Numerical Ability
by
Arjun
Veteran
(
435k
points)

91
views
isi2015mma
numericalability
numbersystem
minimumvalue
nongate
+1
vote
1
answer
25
ISI2015MMA11
The number of positive integers which are less than or equal to $1000$ and are divisible by none of $17$, $19$ and $23$ equals $854$ $153$ $160$ none of the above
asked
Sep 23, 2019
in
Numerical Ability
by
Arjun
Veteran
(
435k
points)

40
views
isi2015mma
numericalability
numbersystem
remaindertheorem
0
votes
1
answer
26
ISI2015MMA12
Consider the polynomial $x^5+ax^4+bx^3+cx^2+dx+4$ where $a,b,c,d$ are real numbers. If $(1+2i)$ and $(32i)$ are two two roots of this polynomial then the value of $a$ is $524/65$ $524/65$ $1/65$ $1/65$
asked
Sep 23, 2019
in
Numerical Ability
by
Arjun
Veteran
(
435k
points)

46
views
isi2015mma
numericalability
numbersystem
polynomial
roots
nongate
0
votes
1
answer
27
ISI2015MMA13
The number of real roots of the equation $2 \cos \left( \frac{x^2+x}{6} \right) = 2^x +2^{x} \text{ is }$ $0$ $1$ $2$ infinitely many
asked
Sep 23, 2019
in
Numerical Ability
by
Arjun
Veteran
(
435k
points)

36
views
isi2015mma
numericalability
quadraticequations
trigonometry
0
votes
1
answer
28
ISI2015MMA14
Consider the following system of equivalences of integers, $x \equiv 2 \text{ mod } 15$ $x \equiv 4 \text{ mod } 21$ The number of solutions in $x$, where $1 \leq x \leq 315$, to the above system of equivalences is $0$ $1$ $2$ $3$
asked
Sep 23, 2019
in
Numerical Ability
by
Arjun
Veteran
(
435k
points)

37
views
isi2015mma
numericalability
numbersystem
congruentmodulo
nongate
0
votes
1
answer
29
ISI2015MMA15
The number of real solutions of the equations $(9/10)^x = 3+xx^2$ is $2$ $0$ $1$ none of the above
asked
Sep 23, 2019
in
Numerical Ability
by
Arjun
Veteran
(
435k
points)

46
views
isi2015mma
numericalability
numbersystem
quadraticequations
nongate
+1
vote
1
answer
30
ISI2015MMA17
Let $X=\frac{1}{1001} + \frac{1}{1002} + \frac{1}{1003} + \cdots + \frac{1}{3001}$. Then, $X \lt1$ $X\gt3/2$ $1\lt X\lt 3/2$ none of the above holds
asked
Sep 23, 2019
in
Numerical Ability
by
Arjun
Veteran
(
435k
points)

36
views
isi2015mma
numericalability
summation
Page:
1
2
3
4
5
6
...
28
next »
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
IITGN PGDIIT Fees/Placement/other info.
Online Python Programming Course by IIT Kanpur
CCMT (Portal for NIT admission) is now open
Generating Functions  All you need to know for GATE
The Truth about M.Tech Placements at IIIT Allahabad.
Follow @csegate
Recent questions tagged numericalability
Recent Blog Comments
It has been modified. For online admission you...
Is it true that final year students are not...
Is it true ?
I looked into its syllabus and there are some...
kudos bro you made it
51,840
questions
58,630
answers
200,017
comments
111,643
users