Test Preparation on GATE CS Mock Tests-2

For the workshops organized in college, students can participate more than one workshop saying that all are organized in different timings. 150 students are enrolled in total for one or more than one workshop. Registration details are as follows : 99 students are enrolled for Cyber Security. 56 students are enrolled for Solar Energy, 89 students are enrolled for Artificial Intelligence. 25 students for both Cyber Security and Solar Energy. 65 students for both Cyber Security and Artificial Intelligence and 18 students for both Solar Energy and Artificial Intelligence. How many students are participating in all three workshops ?

n(A ∪ B ∪ C) = n(A) + n(B) + n(C) - [n(A ∩ B) + n(A ∩ C) + n(B ∩ C)] + n(A ∩ B ∩ C) 150 = 99+56+89 - [25+65+18] + x 150 = 244 - 108 + x So, x = 14 Answer : Option D

There was a man on the news last night who reckons we -------- visited by beings from other worlds.

A

were

B

have been

C

had been

D

had

Reckons is a verb, which means 'believe' or 'think'. The man on the news (last night) believes that we have been visited by beings from other worlds. So, only option (B) is suitable.

Choose the most closely related word for 'Paradox'

A

Certitude

B

Enigma

C

Explanation

D

Derivative

'Paradox' is a noun, which can be related as Puzzle. In given options, Enigma (a puzzle) is the only closely related word to Paradox. So, option (B) is correct.

The probability that the top and bottom cards of a randomly shuffled deck are both aces is - A. $\frac{4}{52} * \frac{4}{52}$ B. $\frac{4}{52} * \frac{3}{52}$ C. $\frac{4}{52} * \frac{4}{51}$ D. $\frac{4}{52} * \frac{3}{51}$

Prob. top card is Ace- $\frac{4}{52}$ Prob. bottom card is Ace- $\frac{3}{51}$ Prob. both top and bottom card are aces - $\frac{4}{52} * \frac{3}{51}$

Read each sentence to find out whether there is any grammatical error in it. The error, if any will be in one part of the sentence. Choose the part of the sentence that has an error in it, if there is no error select 'D'.

A

An Indian ship

B

laden with merchandise

C

got drowned in the Pacific Ocean.

D

No error.

An Indian ship laden with merchandise got drowned in the Pacific Ocean

What is the number of solutions for the inequality- $x_1 + x_2 + x_3 \leq 11$ where $x_1, x_2,x_3$ are integers greater than 0?

A

182

B

364

C

78

D

440

"Three Gorges Dam crosses the Yangtze River in Hubei province, China. It is the world’s largest hydroelectric power station by total capacity of 22,500 MW. A shift in a mass of that size will impact the rotation of the Earth due to a phenomena known as “the moment of inertia”, which is the inertia of a rigid rotating body with respect to its rotation. The moment of inertia of an object about a given axis describes how difficult it is to change its angular motion about that axis. The longer the distance of a mass to its axis of rotation, the slower it will spin. Raising 39 trillion kilograms of water 175 meters above sea level will increase the Earth’s moment of inertia, and thus slow its rotation. However, the impact will be extremely small. NASA scientists calculated the shift of such a mass will increase the length of day by only 0.06 microseconds, and make the Earth only very slightly more round in the middle and more flat on the top. It will also shift the pole position by about two centimeters (0.8 inch)." Choose the most relevant option based on above paragraph :

A

This dam is a remarkable piece of engineering and increased the Earth’s moment of inertia very slightly.

B

We can use 'the moment of inertia' to increase the length of day by making more such dams.

C

Such projects should be made to slow the rotation of the earth.

D

Such dams can make the shape of Earth flat, so should not be encouraged.

A	An Indian ship
B	laden with merchandise
C	got drowned in the Pacific Ocean.
D	No error.

A	This dam is a remarkable piece of engineering and increased the Earth’s moment of inertia very slightly.
B	We can use 'the moment of inertia' to increase the length of day by making more such dams.
C	Such projects should be made to slow the rotation of the earth.
D	Such dams can make the shape of Earth flat, so should not be encouraged.


Right Ans	Wrong Ans	Not Attempted

There was a man on the news last night who reckons we -------- visited by beings from other worlds. A were B have been C had been D had

Choose the most closely related word for 'Paradox' A Certitude B Enigma C Explanation D Derivative

The probability that the top and bottom cards of a randomly shuffled deck are both aces is - A. B. C. D.

What is the number of solutions for the inequality- where are integers greater than 0? A 182 B 364 C 78 D 440

Check your progress:

There was a man on the news last night who reckons we -------- visited by beings from other worlds.

A

were

B

have been

C

had been

D

had

Choose the most closely related word for 'Paradox'

A

Certitude

B

Enigma

C

Explanation

D

Derivative

The probability that the top and bottom cards of a randomly shuffled deck are both aces is - A. $\frac{4}{52} * \frac{4}{52}$ B. $\frac{4}{52} * \frac{3}{52}$ C. $\frac{4}{52} * \frac{4}{51}$ D. $\frac{4}{52} * \frac{3}{51}$

What is the number of solutions for the inequality- $x_1 + x_2 + x_3 \leq 11$ where $x_1, x_2,x_3$ are integers greater than 0?

A

182

B

364

C

78

D

440