Hot questions in Others

+20 votes

1 answer

1

gate rank prediction
Hi i just want to ask if i am scoring 40 to 45% marks in made easy FLT s and my rank is near about 200 -250 where 1000 students have appeared what could be my gate rank as per previous year student experiences? a silly q though but i wnt to know!

asked Jan 17, 2016 in Others by Aboveallplayer Boss (17.9k points) | 38.5k views

0 votes

1 answer

2

GATE 2018 Rank Predictor
I need the link for GATE 2018 Rank Predictor for ece?

asked Feb 22, 2018 in GATE Application by SAMIKSHA SHRIVASTAVA (5 points) | 17.4k views

0 votes

1 answer

3

GateOverflow PDF for GATE 2019
Where can I find the GO book pdf for GATE 2019 ? If possible please add the link for downloading the pdf.

asked Jun 2, 2018 in Study Resources by Sivarama Subramanian (179 points) | 8.4k views

0 votes

1 answer

4

gate overflow rank prediction 2019
Is this gate overflow rank prediction 2019 working fine because it seem more marks are needed for good rank as compare to previous years

asked Feb 14 in Others by ykf (9 points) | 4.4k views

+21 votes

8 answers

5

Common Careless Mistakes
What are the most common mistakes you have made in tests? A good list will help aspirants reduce their mistakes in GATE. Just listing out some common ones. Missing the NOT in question - our eyes have a tendency to focus on important words and ... many calculation mistakes. In any formula you do, you must get the correct unit for the result Please add more as answers.

asked Jan 26 in Revision by Arjun Veteran (422k points) | 1.2k views

0 votes

1 answer

6

Gate 2019 cse college on 49 marks
I am getting gate marks 49.33 in cse . which college can i expect this year? is there any chance of iiit bangalore? please suggest.. i can’t take drop.

asked Feb 8 in Others by Himanshus852 (13 points) | 3.4k views

+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 $8$ $14$ $15$ $22$

asked Sep 18 in Others by gatecse Boss (16.6k points) | 27 views

+2 votes

2 answers

8

ISI2018-DCG-1
The digit in the unit place of the number $7^{78}$ is $1$ $3$ $7$ $9$

asked Sep 18 in Others by gatecse Boss (16.6k points) | 50 views

0 votes

1 answer

9

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? $n^2+4(4p+1)+4p^2-2=0$ $n^2+4(4p+1)+4p^2+2=0$ $(n-2p)^2=n+2$ $(n+2p)^2=n+2$

asked Sep 18 in Others by gatecse Boss (16.6k points) | 22 views

+1 vote

2 answers

10

ISI2016-DCG-26
If $r$ be the ratio of the roots of the equation $ax^{2}+bx+c=0,$ then $\frac{r}{b}=\frac{r+1}{ac}$ $\frac{r+1}{b}=\frac{r}{ac}$ $\frac{(r+1)^{2}}{r}=\frac{b^{2}}{ac}$ $\left(\frac{r}{b}\right)^{2}=\frac{r+1}{ac}$

asked Sep 18 in Others by gatecse Boss (16.6k points) | 27 views

+1 vote

2 answers

11

ISI2015-MMA-8
Let $A$ be a set of $n$ elements. The number of ways, we can choose an ordered pair $(B,C)$, where $B,C$ are disjoint subsets of $A$, equals $n^2$ $n^3$ $2^n$ $3^n$

asked Sep 23 in Others by Arjun Veteran (422k points) | 27 views

+1 vote

2 answers

12

ISI2015-MMA-7
Let $X$ be the set $\{1, 2, 3, 4, 5, 6, 7, 8, 9, 10 \}$. Define the set $\mathcal{R}$ by $\mathcal{R} = \{(x,y) \in X \times X : x$ and $y$ have the same remainder when divided by $3\}$. Then the number of elements in $\mathcal{R}$ is $40$ $36$ $34$ $33$

asked Sep 23 in Others by Arjun Veteran (422k points) | 13 views

0 votes

2 answers

13

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

asked Sep 18 in Others by gatecse Boss (16.6k points) | 37 views

+1 vote

1 answer

14

ISI2015-MMA-54
If $0 <x<1$, then the sum of the infinite series $\frac{1}{2}x^2+\frac{2}{3}x^3+\frac{3}{4}x^4+ \cdots$ is $\log \frac{1+x}{1-x}$ $\frac{x}{1-x} + \log(1+x)$ $\frac{1}{1-x} + \log(1-x)$ $\frac{x}{1-x} + \log(1-x)$

asked Sep 23 in Others by Arjun Veteran (422k points) | 9 views

+1 vote

1 answer

15

ISI2015-MMA-50
Let $\begin{array}{} V_1 & = & \frac{7^2+8^2+15^2+23^2}{4} – \bigg( \frac{7+8+15+23}{4} \bigg) ^2, \\ V_2 & = & \frac{6^2+8^2+15^2+24^2}{4} – \bigg( \frac{6+8+15+24}{4} \bigg) ^2 , \\ V_3 & = & \frac{5^2+8^2+15^2+25^2}{4} – \bigg( \frac{5+8+15+25}{4} \bigg) ^2 . \end{array}$ Then $V_3<V_2<V_1$ $V_3<V_1<V_2$ $V_1<V_2<V_3$ $V_2<V_3<V_1$

asked Sep 23 in Others by Arjun Veteran (422k points) | 7 views

0 votes

1 answer

16

ISI2016-DCG-63
If $\sin^{-1}\frac{1}{\sqrt{5}}$ and $\cos^{-1}\frac{3}{\sqrt{10}}$ lie in $\left[0,\frac{\pi}{2}\right],$ their sum is equal to $\frac{\pi}{6}$ $\frac{\pi}{3}$ $\sin^{-1}\frac{1}{\sqrt{50}}$ $\frac{\pi}{4}$

asked Sep 18 in Others by gatecse Boss (16.6k points) | 23 views

0 votes

1 answer

17

ISI2018-DCG-4
The number of terms with integral coefficients in the expansion of $(17^\frac{1}{3}+19^\frac{1}{2}x)^{600}$ is $99$ $100$ $101$ $102$

asked Sep 18 in Others by gatecse Boss (16.6k points) | 11 views

0 votes

1 answer

18

ISI2015-MMA-61
Let $ A = \begin{pmatrix} 1 & 1 & 1 \\ 1 & 2 & 2 \\ 1 & 2 & 3 \end{pmatrix} \text{ and } B=\begin{pmatrix} 1 & 0 & 0 \\ 1 & 1 & 0 \\ 1 & 1 & 1 \end{pmatrix}.$ Then there exists a matrix $C$ ... no matrix $C$ such that $A=BC$ there exists a matrix $C$ such that $A=BC$, but $A \neq CB$ there is no matrix $C$ such that $A=CB$

asked Sep 23 in Others by Arjun Veteran (422k points) | 7 views

0 votes

1 answer

19

ISI2015-MMA-9
Let $(1+x)^n = C_0+C_1x+C_2x^2+ \cdots +C_nx^n, \: n$ being a positive integer. The value of $\bigg( 1+\frac{C_0}{C_1} \bigg) \bigg( 1+\frac{C_1}{C_2} \bigg) \cdots \bigg( 1+\frac{C_{n-1}}{C_n} \bigg)$ is $\bigg( \frac{n+1}{n+2} \bigg) ^n$ $ \frac{n^n}{n!} $ $\bigg( \frac{n}{n+1} \bigg) ^n$ $\frac{(n+1)^n}{n!}$

asked Sep 23 in Others by Arjun Veteran (422k points) | 8 views

0 votes

1 answer

20

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.

asked Sep 18 in Others by gatecse Boss (16.6k points) | 11 views

0 votes

2 answers

21

ISI2016-DCG-5
If $\tan\: x=p+1$ and $\tan\; y=p-1,$ then the value of $2\:\cot\:(x-y)$ is $2p$ $p^{2}$ $(p+1)(p-1)$ $\frac{2p}{p^{2}-1}$

asked Sep 18 in Others by gatecse Boss (16.6k points) | 14 views

+1 vote

1 answer

22

ISI2015-MMA-21
Let $\omega$ denote a complex fifth root of unity. Define $b_k =\sum_{j=0}^{4} j \omega^{-kj},$ for $0 \leq k \leq 4$. Then $ \sum_{k=0}^{4} b_k \omega ^k$ is equal to $5$ $5 \omega$ $5(1+\omega)$ $0$

asked Sep 23 in Others by Arjun Veteran (422k points) | 12 views

+1 vote

1 answer

23

ISI2015-MMA-79
Let $g(x,y) = \text{max}\{12-x, 8-y\}$. Then the minimum value of $g(x,y)$ $ $ as $(x,y)$ varies over the line $x+y =10$ is $5$ $7$ $1$ $3$

asked Sep 23 in Others by Arjun Veteran (422k points) | 7 views

+1 vote

1 answer

24

ISI2018-DCG-9
Let $f(x)=1+x+\frac{x^2}{2}+\frac{x^3}{3}...+\frac{x^{2018}}{2018}.$ Then $f’(1)$ is equal to $0$ $2017$ $2018$ $2019$

asked Sep 18 in Others by gatecse Boss (16.6k points) | 14 views

0 votes

1 answer

25

ISI2015-MMA-93
Let $G$ be a group with identity element $e$. If $x$ and $y$ are elements in $G$ satisfying $x^5y^3=x^8y^5=e$, then which of the following conditions is true? $x=e, \: y=e$ $x\neq e, \: y=e$ $x=e, \: y \neq e$ $x\neq e, \: y \neq e$

asked Sep 23 in Others by Arjun Veteran (422k points) | 7 views

0 votes

1 answer

26

ISI2015-MMA-94
Let $G$ be the group $\{\pm1, \pm i \}$ with multiplication of complex numbers as composition. Let $H$ be the quotient group $\mathbb{Z}/4 \mathbb{Z}$. Then the number of nontrivial group homomorphisms from $H$ to $G$ is $4$ $1$ $2$ $3$

asked Sep 23 in Others by Arjun Veteran (422k points) | 8 views

+2 votes

1 answer

27

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

asked Sep 18 in Others by gatecse Boss (16.6k points) | 30 views

0 votes

1 answer

28

ISI2015-MMA-78
The value of $\underset{n \to \infty}{\lim} \bigg[ (n+1) \int_0^1 x^n \text{ln}(1+x) dx \bigg]$ is $0$ $\text{ln }2$ $\text{ln }3$ $\infty$

asked Sep 23 in Others by Arjun Veteran (422k points) | 6 views

0 votes

1 answer

29

ISI2016-DCG-36
Suppose $X$ and $Y$ are finite sets, each with cardinality $n$.. The number of bijective functions from $X$ to $Y$ is $n^{n}$ $n\log_{2}n$ $n^{2}$ $n!$

asked Sep 18 in Others by gatecse Boss (16.6k points) | 6 views

+1 vote

2 answers

30

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 $n$

asked Sep 18 in Others by gatecse Boss (16.6k points) | 16 views

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