Recent questions tagged gate2018-ec / GATE Overflow for GATE CSE

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Mathematics GATE 2018 EC: 22
Consider matrix $A =$ $\begin{bmatrix} k &2k \\ k^{2}-k &k^{2} \end{bmatrix}$ and $x =$ $\begin{bmatrix} x1\\x2 \end{bmatrix}$ The number of distinct real values of $k$ for which the equation $Ax = 0$ has infinitely many solutions is _______.

Consider matrix $A =$ $\begin{bmatrix} k &2k \\ k^{2}-k &k^{2} \end{bmatrix}$ and $x =$ $\begin{bmatrix} x1\\x2 \end{bmatrix}$The number of distinct real values of $k$ f...

Lakshman Bhaiya

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Lakshman Bhaiya asked Feb 21, 2018

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Mathematics GATE 2018 EC: 23
Let $X_1$, $X_2$, $X_3$, and $X_4$ be independent normal random variables with zero mean and unit variance. The probability that $X_4$ is the smallest among the four is _______ .

Let $X_1$, $X_2$, $X_3$, and $X_4$ be independent normal random variables with zero mean and unit variance. The probability that $X_4$ is the smallest among the four is _...

Lakshman Bhaiya

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Lakshman Bhaiya asked Feb 21, 2018

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Mathematics: GATE 2018 Digital Logic - 9( Electronics and Communication Engineering )
A function $F(A, B, C)$ defined by three Boolean variables $A$, $B$ and $C$ when expressed as sum of products is given by $F = \bar{A}⋅ \bar{B} ⋅ \bar{C}+ \bar{A}⋅ B ⋅\bar{ C}+ A ⋅ \bar{B} ⋅ \bar{C}$ where, $\bar{A}, \bar{B},$ and ...

A function $F(A, B, C)$ defined by three Boolean variables $A$, $B$ and $C$ when expressed as sumof products is given by$F = \bar{A}⋅ \bar{B} ⋅ \bar{C}+ \bar{A}⋅ B ...

Lakshman Bhaiya

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Lakshman Bhaiya asked Feb 21, 2018

8 votes

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4

GATE2018 EC: GA-10
A coastal region with unparalleled beauty is home to many species of animals. It is dotted with coral reefs and unspoilt white sandy beaches. It has remained inaccessible to tourists due to poor connectivity and lack of accommodation. A company has ... are on the decline and could soon vanish. Helicopter connectivity would lead to an increase in tourists coming to the region.

A coastal region with unparalleled beauty is home to many species of animals. It is dotted with coral reefs and unspoilt white sandy beaches. It has remained inaccessible...

Lakshman Bhaiya

1.8k views

Lakshman Bhaiya asked Feb 21, 2018

9 votes

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5

GATE2018 EC: GA-9
A cab was involved in a hit and run accident at night. You are given the following data about the cabs in the city and the accident. $85\%$ of cabs in the city are green and the remaining cabs are blue. A witness identified the cab involved in the accident as blue. ... options is closest to the probability that the accident was caused by a blue cab? $12\%$ $15\%$ $41\%$ $80\%$

A cab was involved in a hit and run accident at night. You are given the following dataabout the cabs in the city and the accident.$85\%$ of cabs in the city are green an...

Lakshman Bhaiya

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Lakshman Bhaiya asked Feb 21, 2018

3 votes

1 answer

6

GATE2018 EC: GA-8
The Cricket Board has long recognized John's potential as a leader of the team. However, his on-field temper has always been a matter of concern for them since his junior days. While this aggression has filled stadia with die-hard fans, it has taken a toll on his own batting. Until recently, ... , (ii) and (iii) only (iii) and (iv) only (ii) and (iv) only (i), (ii), (iii) and (iv)

The Cricket Board has long recognized John’s potential as a leader of the team. However, his on-field temper has always been a matter of concern for them since his juni...

Lakshman Bhaiya

2.9k views

Lakshman Bhaiya asked Feb 21, 2018

5 votes

2 answers

7

GATE2018 EC: GA-7
Two alloys $A$ and $B$ contain gold and copper in the ratios of $2:3$ and $3:7$ by mass, respectively. Equal masses of alloys $A$ and $B$ are melted to make an alloy $C$. The ratio of gold to copper in alloy $C$ is ______. $ 5:10$ $7:13$ $6:11$ $9:13$

Two alloys $A$ and $B$ contain gold and copper in the ratios of $2:3$ and $3:7$ by mass, respectively. Equal masses of alloys $A$ and $B$ are melted to make an alloy $C$....

Lakshman Bhaiya

7.6k views

Lakshman Bhaiya asked Feb 21, 2018

3 votes

2 answers

8

GATE2018 EC: GA-6
Leila aspires to buy a car worth $Rs. 10,00,000$ after $5$ years. What is the minimum amount in Rupees that she should deposit now in a bank which offers $10\%$ annual rate of interest, if the interest was compounded annually? $5,00,000 $ $6,21,000$ $6,66,667$ $7,50,000$

Leila aspires to buy a car worth $Rs. 10,00,000$ after $5$ years. What is the minimum amount in Rupees that she should deposit now in a bank which offers $10\%$ annual ra...

Lakshman Bhaiya

3.8k views

Lakshman Bhaiya asked Feb 21, 2018

5 votes

1 answer

9

GATE2018 EC: GA-5
A $1.5 m$ tall person is standing at a distance of $3 m$ from a lamp post. The light from the lamp at the top of the post casts her shadow. The length of the shadow is twice her height. What is the height of the lamp post in meters? $1.5 $ $3$ $4.5$ $6$

A $1.5 m$ tall person is standing at a distance of $3 m$ from a lamp post. The light from thelamp at the top of the post casts her shadow. The length of the shadow is twi...

Lakshman Bhaiya

3.8k views

Lakshman Bhaiya asked Feb 21, 2018

4 votes

1 answer

10

GATE2018 EC: GA-4
What is the value of $1 + \dfrac{1}{4} + \dfrac{1}{16} + \dfrac{1}{64} + \dfrac{1}{256} + ......?$ $2$ $\dfrac{7}{4}$ $\dfrac{3}{2}$ $\dfrac{4}{3}$

What is the value of $1 + \dfrac{1}{4} + \dfrac{1}{16} + \dfrac{1}{64} + \dfrac{1}{256} + ......?$ $2$$\dfrac{7}{4}$$\dfrac{3}{2}$ $\dfrac{4}{3}$

Lakshman Bhaiya

1.2k views

Lakshman Bhaiya asked Feb 21, 2018

4 votes

1 answer

11

GATE2018 EC: GA-3
If the number $715∎423$ is divisible by $3$ (∎ denotes the missing digit in the thousandths place), then the smallest whole number in the place of ∎ is _________. $0$ $2$ $5$ $6$

If the number $715∎423$ is divisible by $3$ (∎ denotes the missing digit in the thousandths place), then the smallest whole number in the place of ∎ is _________.$0...

Lakshman Bhaiya

1.9k views

Lakshman Bhaiya asked Feb 21, 2018

3 votes

3 answers

12

GATE2018 EC: GA-2
“Even though there is a vast scope for its ________, tourism has remained a/an _________ area.” The words that best fill the blanks in the above sentence are improvement, neglected rejection, approved fame, glum interest, disinterested

“Even though there is a vast scope for its ________, tourism has remained a/an _________ area.”The words that best fill the blanks in the above sentence areimprovemen...

Lakshman Bhaiya

4.0k views

Lakshman Bhaiya asked Feb 21, 2018

4 votes

2 answers

13

GATE2018 EC: GA-1
“By giving him the last ______ of the cake, you will ensure lasting _____ in our house today.” The words that best fill the blanks in the above sentence are peas, piece piece, peace peace, piece peace, peas

“By giving him the last ______ of the cake, you will ensure lasting _____ in our house today.”The words that best fill the blanks in the above sentence arepeas, piece...

Lakshman Bhaiya

1.5k views

Lakshman Bhaiya asked Feb 21, 2018

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