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0
votes
1
GATE2018 CH: GA9
If $x^{2}+ x  1 = 0$ what is the value of $x^4 + \dfrac{1}{x^4}$? $1$ $5$ $7$ $9$
answered
23 hours
ago
in
Numerical Ability

244
views
gate2018ch
numericalability
easy
polynomials
0
votes
2
GATE2014 EC4: GA10
A five digit number is formed using the digits $1,3,5,7$ and $9$ without repeating any of them. What is the sum of all such possible five digit numbers? $6666660$ $6666600$ $6666666$ $6666606$
answered
5 days
ago
in
Numerical Ability

1.2k
views
gate2014ec4
numericalability
normal
permutationandcombination
+1
vote
3
GATE20152GA6
If the list of letters $P$, $R$, $S$, $T$, $U$ is an arithmetic sequence, which of the following are also in arithmetic sequence? $2P, 2R, 2S, 2T, 2U$ $P3, R3, S3, T3, U3$ $P^2, R^2, S^2, T^2, U^2$ I only I and II II and III I and III
answered
5 days
ago
in
Numerical Ability

1.2k
views
gate20152
numericalability
normal
arithmeticseries
0
votes
4
TIFR2018B1
What is the remainder when $4444^{4444}$ is divided by $9?$ $1$ $2$ $5$ $7$ $8$
answered
6 days
ago
in
Combinatory

575
views
tifr2018
modulararithmetic
permutationandcombination
0
votes
5
ISRO202060
A given grammar is called ambiguous if two or more productions have the same nonterminal on the left hand side a derivation tree has more than one associated sentence there is a sentence with more than one derivation tree corresponding to it brackets are not present in the grammar
answered
Jan 13
in
Compiler Design

140
views
isro2020
compilerdesign
grammar
easy
+2
votes
6
ISRO202012
If $ABCD$ is a $4$bit binary number, then what is the code generated by the following circuit? BCD code $8421$ code Gray code Excess$3$ code
answered
Jan 13
in
Digital Logic

161
views
isro2020
digitallogic
combinationalcircuits
normal
+1
vote
7
ISRO202077
Consider the following circuit The function by the network above is $\overline{AB}E+EF+\overline{CD}F$ $(\overline{E}+AB\overline{F})(C+D+\overline{F})$ $(\overline{AB}+E)(\bar{E}+\bar{F})(C+D+\overline{F})$ $(A+B)\overline{E} +\overline{EF}+CD\overline{F}$
answered
Jan 13
in
Digital Logic

146
views
isro2020
digitallogic
combinationalcircuits
normal
+2
votes
8
ISRO201820
Determine the number of page faults when references to pages occur in the order $1,2,4,5,2,1,2,4.$ Assume that the main memory can accommodate $3$ pages and the main memory already has the pages $1$ and $2,$ with page $1$ brought earlier than page $2.$ (assume LRU i.e., LeastRecentlyUsed algorithm is applied) $3$ $4$ $5$ None of the above
answered
Jan 10
in
Operating System

1.3k
views
isro2018
operatingsystem
pagereplacement
+3
votes
9
GATE2011 AG: GA6
The sum of $n$ terms of the series $4+44+444+ \dots \dots $ is $\frac{4}{81}\left[10^{n+1}9n1\right]$ $\frac{4}{81}\left[10^{n1}9n1\right]$ $\frac{4}{81}\left[10^{n+1}9n10\right]$ $\frac{4}{81}\left[10^{n}9n10\right]$
answered
Jan 4
in
Numerical Ability

315
views
generalaptitude
numericalability
gate2011ag
arithmeticseries
0
votes
10
GATE2011 MN: GA61
If $\dfrac{(2y+1)}{(y+2)} < 1,$ then which of the following alternatives gives the CORRECT range of $y$ ? $ 2 < y < 2$ $ 2 < y < 1$ $ 3 < y < 1$ $ 4 < y < 1$
answered
Jan 4
in
Numerical Ability

738
views
numericalability
gate2011mn
algebra
0
votes
11
GATE201032
In the sequential circuit shown below, if the initial value of the output $Q_1Q_0$ is $00$. What are the next four values of $Q_1Q_0$? $11$, $10$, $01$, $00$ $10$, $11$, $01$, $00$ $10$, $00$, $01$, $11$ $11$, $10$, $00$, $01$
answered
Jan 1
in
Digital Logic

7.1k
views
gate2010
digitallogic
circuitoutput
normal
0
votes
12
GATE2018 ME1: GA10
Consider the following three statements: Some roses are red. All red flowers fade quickly. Some roses fade quickly. Which of the following statements can be logically inferred from the above statements? If (i) is true and (ii) is false, then (iii) is false. If (i) is true and (ii ... . If (i) and (ii) are true, then (iii) is true. If (i) and (ii) are false, then (iii) is false.
answered
Dec 30, 2019
in
Verbal Ability

155
views
gate2018me1
generalaptitude
verbalability
statementsfollow
verbalreasoning
0
votes
13
GATE2014 EC1: GA2
Read the statements: All women are entrepreneurs. Some women are doctors. Which of the following conclusions can be logically inferred from the above statements? All women are doctors All doctors are entrepreneurs All entrepreneurs are women Some entrepreneurs are doctors
answered
Dec 29, 2019
in
Verbal Ability

656
views
gate2014ec1
verbalability
mathematicallogic
statementsfollow
easy
0
votes
14
GATE2014 AG: GA6
In a group of four children, Som is younger to Riaz. Shiv is elder to Ansu. Ansu is youngest in the group. Which of the following statements is/are required to find the eldest child in the group? Statements 1. Shiv is younger to Riaz. 2. Shiv is ... and $2$ are both required to determine the eldest child. Statements $1$ and $2$ are not sufficient to determine the eldest child.
answered
Dec 29, 2019
in
Numerical Ability

848
views
gate2014ag
numericalability
logicalreasoning
normal
0
votes
15
Time and Work
Atul does half as much work as Anshu in $\dfrac 4 5$ of the time. If together they take $16$ days to complete the work, how many days shall Anshu take to do it? 23 25 26 30
answered
Dec 16, 2019
in
Numerical Ability

905
views
numericalability
worktime
0
votes
16
Work and time
A can do piece of work in 30 days while Bonku alone can do it in 40 days. If they work together, how long will it take to complete the work?
answered
Dec 16, 2019
in
Numerical Ability

150
views
+2
votes
17
GATE201436
If $\int \limits_0^{2 \pi} x \: \sin x dx=k\pi$, then the value of $k$ is equal to ______.
answered
Nov 30, 2019
in
Calculus

3.2k
views
gate20143
calculus
integration
limits
numericalanswers
easy
0
votes
18
GATE2014347
The value of the integral given below is $\int \limits_0^{\pi} \: x^2 \: \cos x\:dx$ $2\pi$ $\pi$ $\pi$ $2\pi$
answered
Nov 30, 2019
in
Calculus

2.2k
views
gate20143
calculus
limits
integration
normal
+4
votes
19
ISRO201349
What is the least value of the function $f(x) = 2x^{2}8x3$ in the interval $[0, 5]$? $15$ $7$ $11$ $3$
answered
Nov 28, 2019
in
Calculus

2k
views
isro2013
maximaminima
0
votes
20
ISI2018DCG18
If $x+y=\pi, $ the expression $\cot \dfrac{x}{2}+\cot\dfrac{y}{2}$ can be written as $2 \: \text{cosec} \: x$ $\text{cosec} \: x + \text{cosec} \: y$ $2 \: \sin x$ $\sin x+\sin y$
answered
Nov 28, 2019
in
Geometry

13
views
isi2018dcg
trigonometry
nongate
0
votes
21
ISI2018DCG20
The value of $\tan \left(\sin^{1}\left(\frac{3}{5}\right)+\cot^{1}\left(\frac{3}{2}\right)\right)$ is $\frac{1}{18}$ $\frac{11}{6}$ $\frac{13}{6}$ $\frac{17}{6}$
answered
Nov 28, 2019
in
Geometry

25
views
isi2018dcg
trigonometry
inverse
nongate
0
votes
22
ISI2015MMA44
Let $P_1$, $P_2$ and $P_3$ denote, respectively, the planes defined by $\begin{array} {} a_1x +b_1y+c_1z=\alpha _1 \\ a_2x +b_2y+c_2z=\alpha _2 \\ a_3x +b_3y+c_3z=\alpha _3 \end{array}$ It is given that $P_1$, $P_2$ and $P_3$ ... then the planes do not have any common point of intersection intersect at a unique point intersect along a straight line intersect along a plane
answered
Nov 25, 2019
in
Linear Algebra

30
views
isi2015mma
linearalgebra
systemofequations
+1
vote
23
ISI2015MMA39
The eigenvalues of the matrix $X = \begin{pmatrix} 2 & 1 & 1 \\ 1 & 2 & 1 \\ 1 & 1 & 2 \end{pmatrix}$ are $1,1,4$ $1,4,4$ $0,1,4$ $0,4,4$
answered
Nov 25, 2019
in
Linear Algebra

79
views
isi2015mma
linearalgebra
matrices
eigenvalue
+1
vote
24
ISI2014DCG64
The value of $\lambda$ such that the system of equation $\begin{array}{} 2x & – & y & + & 2z & = & 2 \\ x & – & 2y & + & z & = & 4 \\ x & + & y & + & \lambda z & = & 4 \end{array}$ has no solution is $3$ $1$ $0$ $3$
answered
Nov 24, 2019
in
Linear Algebra

59
views
isi2014dcg
linearalgebra
matrices
systemofequations
0
votes
25
Integration
Solve the following $\int_{0}^{\infty}e^{x^2}x^4dx$
answered
Nov 22, 2019
in
Calculus

198
views
engineeringmathematics
integration
calculus
0
votes
26
ISI2016DCG31
Let $A$ be an $n\times n$ matrix such that $\mid\: A^{2}\mid=1.\:\: \mid A\:\mid$ stands for determinant of matrix $A.$ Then $\mid\:(A)\mid=1$ $\mid\:(A)\mid=0\:\text{or}\:1$ $\mid\:(A)\mid=1,0\:\text{or}\:1$ $\mid\:(A)\mid=1\:\text{or}\:1$
answered
Nov 18, 2019
in
Linear Algebra

22
views
isi2016dcg
linearalgebra
matrices
determinant
+6
votes
27
GATE200459
Which are the essential prime implicants of the following Boolean function? $f(a, b, c)= a' c+ ac'+b' c$ $a' c$ and $ac'$ $a' c$ and $b' c$ $a' c$ only. $ac'$ and $bc'$
answered
Oct 12, 2019
in
Digital Logic

2.7k
views
gate2004
digitallogic
normal
primeimplicants
+1
vote
28
Morris Mano Edition 3 Exercise 6 Question 24 (Page No. 255)
Design the sequential circuit specified by the following state diagram using T flipflop.
answered
Oct 12, 2019
in
Digital Logic

28
views
digitallogic
sequentialcircuit
synchronousasynchronouscircuits
0
votes
29
Morris Mano Edition 3 Exercise 6 Question 14 (Page No. 254)
Reduce the number of states in the following state table and tabulate the reduced state table.
answered
Oct 12, 2019
in
Digital Logic

66
views
digitallogic
sequentialcircuit
synchronousasynchronouscircuits
circuitoutput
0
votes
30
Morris Mano Edition 3 Exercise 4 Question 16 (Page No. 150)
A BCD to seven segment decoder is a combinational circuit that converts a decimal digit in BCD to an appropriate code for the selection of the segments in the display indicator used for displaying the decimal digit in the ... decoder using the minimum number of the NAND gates. the Six invalid combinations should result in a blank display.
answered
Oct 11, 2019
in
Digital Logic

32
views
digitallogic
digitalcircuits
combinationalcircuits
+1
vote
31
TIFR2010MathsA1
A cyclic group of order 60 has 12 Generators 15 Generators 16 Generators 20 Generators
answered
Oct 6, 2019
in
Set Theory & Algebra

1k
views
tifrmaths2010
grouptheory
+1
vote
32
GATE20126
The truth table ${\begin{array}{ccc}\hline \textbf{X}& \textbf{Y}& \textbf{(X,Y)} \\\hline 0& 0& 0 \\ \hline 0& 1&0\\ \hline 1& 0& 1 \\\hline 1& 1& 1 \\\hline \end{array}}$ represents the Boolean function $X$ $X + Y$ $X \oplus Y$ $Y$
answered
Oct 3, 2019
in
Digital Logic

995
views
gate2012
digitallogic
easy
booleanalgebra
+3
votes
33
GATE201921
The value of $3^{51} \text{ mod } 5$ is _____
answered
Oct 2, 2019
in
Combinatory

4.2k
views
gate2019
numericalanswers
permutationandcombination
modulararithmetic
+1
vote
34
ISI2015MMA34
If $f(x) = \dfrac{\sqrt{3}\sin x}{2+\cos x}$, then the range of $f(x)$ is the interval $[1, \sqrt{3}/2]$ the interval $[ \sqrt{3}/2, 1]$ the interval $[1, 1]$ none of the above
answered
Sep 24, 2019
in
Calculus

25
views
isi2015mma
calculus
functions
range
trigonometry
nongate
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