# GATE CS 2018

• Last Updated : 22 Nov, 2021

 Question 1
What is the missing number in the following sequence? 2, 12, 60, 240, 720, 1440, .... 0
 A 2880 B 1440 C 720 D 0
GATE CS 2018    Arithmetic Aptitude    Numbers    Series
Discuss it

Question 1 Explanation:
The series starts with 2. We multiply first term with 6 to get second term 12 Then we multiply second term with 5 to get third term 60 Then we multiply third term with 4 to get fourth term 340 Then we multiply fourth term with 3 to get fifth term 720 Then we multiply fifth term with 2 to get fifth term 1440. Then we need to multiply with 1 and we get 1440 again.
 Question 2
What would be the smallest natural number which when divided either by 20 or by 42 or by 76 leaves a remainder ‘7’ in each case is_
 A 3047 B 6047 C 7987 D 63847
GATE CS 2018    General Aptitude    Arithmetic Aptitude    LCM
Discuss it

Question 2 Explanation:
We need a number that can be written as 20x + 7, 42y + 7, 76z + 7 for three integers x, y and z. We basically need to find least common multiple of 20 (2 * 2 *5), 42(2 * 3 * 7) and 76(2 * 2 * 19) which is 2 * 2 * 5 * 3 * 7 * 19 = 20 * 21 * 19 = 420 * 19 = 7980 So our number is 7980 + 7 = 7987. Note - You can also verify options using virtual calculator.
 Question 3
"From where are they bringing their books? _________ bringing _________ books from _________." The words that best fill the blanks in the above sentence are
 A Their, they're, there B They're, their, there C There, their, they're D They're, there,there
GATE CS 2018    General Aptitude    English
Discuss it

Question 3 Explanation:
"From where are they bringing their books? Who bringing Whose books from Where." Who - A group as subject = They are Whose - of that group = their Where - from a place = there "From where are they bringing their books? They are bringing their books from there." So, option (B) is correct choice.
 Question 4
A __________ investigation can sometimes yield new facts, but typically organized once are more successful.
 A Meandering B Timely C Consistent D Systematic
GATE CS 2018    General Aptitude    English
Discuss it

Question 4 Explanation:
Meandering (as adjective) = proceeding in a convoluted or undirected fashion. Timely (as adjective) = done or occurring at a favourable or useful time; opportune. Consistent (as adjective) = acting or done in the same way over time, especially so as to be fair or accurate. Systematic (as adjective) = done or acting according to a fixed plan or system; methodical. Therefore, meandering is correct choice, all other options are similar to the word organized.
 Question 5

What is the area of the circle which has the diagonal of the square as its diameter if the area of square is ' d ' ?

 A πd B πd2 C (1/4) πd2 D (1/2)πd
GATE CS 2018    General Aptitude    Trigonometry & Height and Distances
Discuss it

Question 5 Explanation:

One important observation to solve
the question :

Diagonal of Square = Diameter of Circle.

Let side of square be x.

From Pythagoras theorem.
Diagonal = √(2*x*x)

We know area of square = x * x = d

Diameter = Diagonal =  √(2*d)

Area of circle = π * √(d/2) * √(d/2) = 1/2 * π * d

 Question 6
In the figure below, ∠DEC+∠BFC is equal to _______ .
 A ∠ BCD - ∠ BAD B ∠ BAD + ∠ BCF C ∠ BAD + ∠ BCD D ∠ CBA + ∠ ADC
GATE CS 2018    General Aptitude    Mensuration 2D
Discuss it

Question 6 Explanation:
Option (A) is correct.
 Question 7
In a party, 60% of the invited guests are male and 40% are female. If 80% of the invited guests attended the party and if all the invited female guests attended, what would be the ratio of males to females among the attendees in the party?
 A 2:3 B 1:1 C 3:2 D 2:1
GATE CS 2018    General Aptitude    Set Theory & Algebra    Ratio and Proportion    50 Aptitude & Reasoning MCQs with Answers
Discuss it

Question 7 Explanation:
```Let total males and females be 60x and
40x respectively.

Total number of people = (60x + 40x)
Total number of people who attended :
0.8(60x + 40x) = 80x

Let y males attended. It is given all
1females attended

40x + y = 80x
y = 40x which is same as females.
```
Alternative Approach - Lets total number of people = 100. Therefore, 60 are male and and 40 are female. But total 80 guests are attended and all 40 female attended the party. So, there remaining (80 - 40 = 40) attendees should be male. Then the ration of male to female among attendees is 40 : 40 = 1 : 1
 Question 8
A six sided unbiased die with four green faces and two red faces is rolled seven times. Which of the following combinations is the most likely outcome of the experiment?
 A Three green faces and four red faces. B Four green faces and three red faces. C Five green faces and two red faces. D Six green faces and one red face
GATE CS 2018    General Aptitude    Arithmetic Aptitude    Probability    50 Aptitude & Reasoning MCQs with Answers
Discuss it

Question 8 Explanation:
Considering uniformly distributed outcomes, we get 4 greens and 2 reds in six throws. Then in one more throw, green is more likely. So, option (C) is correct.
 Question 9

If pqr ≠ 0 and p^(-x) = 1/q, q^(-y) = 1/r, r^(-z) = 1/p, find the value of the product xyz ?

 A -1 B 1 / pqr C 1 D pqr
GATE CS 2018    General Aptitude    Arithmetic Aptitude    Algebra    50 Aptitude & Reasoning MCQs with Answers
Discuss it

Question 9 Explanation:

Taking logs of given three values, we get

```1/q = p-x -------(1)
1/r = q-y -------(2)
1/p = r-z -------(3)

1/q = p-x
= r-xz [Putting value of p from (3)]
= q-xyz  [Putting value of r from (2)]
= 1 / qxyz

On comparing power of q both sides, we get xyz = 1```

So, option (C) is correct.

 Question 10

In appreciative of social improvement completed in a town, a wealthy philanthropist decided to give gift of Rs. 750 to each male senior citizen and Rs. 1000 for female senior citizens. There are total 300 citizens and the 8/9th of total men and 2/3rd of total women claimed the gift. What is amount of money philanthropist paid?

 A 15000 B 200000 C 115000 D 151000
GATE CS 2018    General Aptitude    Arithmetic Aptitude    Ratio and Proportion
Discuss it

Question 10 Explanation:
```Let there be x total men.

Total amount paid = x * 750 * 8/9 + (300 - x)*1000*2/3
= x*2000/3 + 300*1000*2/3 - x*2000/3
= 200000```
There are 66 questions to complete.
My Personal Notes arrow_drop_up