GATE Questions and Answers with Explanation

Q:

The Value of $[\log (\tan (1^{0})) + \log (\tan (2^{0})) + \dots \dots + \log (\tan (89^{0}))]$ is

A) -1	B) 0
C) 1/2	D) 1

Answer & Explanation Answer: B) 0

Explanation:

$= [\log \tan (1^{0}) + \log \tan (89^{0})] + [\log \tan (2^{0}) + \log \tan (88^{0})] + \dots \dots + [\log \tan (45^{0})]$

$= \log [\tan (1^{0}) \times \tan (89^{0})] + \log [\tan (2^{0}) \times \tan (88^{0})] + \dots \dots + \log (1)$

$[∵ \tan (90 - θ) = c o t θ a n d \tan (45^{0}) = 1]$

= log 1 + log 1 +.....+log 1

= 0.

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Filed Under: Logarithms
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27 6929

Q:

About 4 out of 5 students are left handed. If there are totally 40 students in an class. How many would be left handed ?

A) 40	B) 45
C) 32	D) 30

Answer & Explanation Answer: C) 32

Explanation:

Probability of left handed = 4/5
total student = 40
total left handed = 40 x(4/5)
= 32

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Filed Under: Numbers
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12 6926

Q:

Which of the following is not a Jovian planet?

A) Jupiter	B) Earth
C) Saturn	D) Neptune

Answer & Explanation Answer: B) Earth

Explanation:

Earth is not a Jovian Planet as it is a Terrestrial planet.

A planet designated as Jovian is hence a gas giant, composed primarily of hydrogen and helium gas with varying degrees of heavier elements.

Within the Solar System, four Jovian planets exist – Jupiter, Saturn, Uranus, and Neptune. Though these planets vary in terms of size, mass, and composition, they all share certain characteristics that cause them to differ greatly from the terrestrial planets located in the inner Solar System.

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Filed Under: General Science
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12 6924

Q:

Assertive sentences examples list.

Answer

An assertive sentence is a sentence that state, assert, or declare something. It means it is a simple statement making thing. As it declares something, is also called as Declarative sentence.

Examples of assertive sentence or statements ::

1. Anamika loves him very much.

2. He picks her daily.

3. Attitude is everything.

4. The sun sets in the west.

5. She likes roses.

6. He is a student.

7. Karthik planned a tour.

8. Peacock is a beautiful bird.

9. India is our country.

10. Joel want to be a doctor.

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Subject: Alphabet Test Exam Prep: TOEFL , GRE , GATE , CAT , Bank Exams , AIEEE
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32 6917

Q:

A train is moving and crossing a man who is running on a platform of 100 m at a speed of 8 kmph in the direction of the train, in 9 sec. If the speed of the train is 74 kmph. Find the length of the train ?

A) 202 mts	B) 188 mts
C) 165 mts	D) 156 mts

Answer & Explanation Answer: C) 165 mts

Explanation:

Let the length of the train = L mts

Relative speed of train and man = 74 - 8 = 66 kmph = 66 x 5/18 m/s

=> 66 x 5/18 = L/9

=> L = 165 mts.

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Filed Under: Problems on Trains
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22 6917

Q:

Which of the following statements is correct?

A) I am very happy to start this Program	B) I am too happy to start this Program
C) Both A & B	D) None

Answer & Explanation Answer: A) I am very happy to start this Program

Explanation:

Here I am very happy to start this Program is correct statement.

"Too" is not used with pleasant adjectives. It means 'more than required' and is usually used with unpleasant adjectives.

So, 'too healthy', 'too happy', 'too glad' etc are wrong.

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Filed Under: Verification of Truth of the statement
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13 6914

Q:

I am the first on Earth, the second in Heaven. I appear two times in a week you can only see me once in a year. Although I am in the middle of the sea, l am not found in month, but l am in February, June, September, October, November & December.

Who am I?

Answer

The letter 'E'.

As of the above given data,

It is in the 1st place in Earth, 2nd in Heaven and in the middle of the Sea.

It appears once in a Year and twice in a Week.

It is present in February, June, September, October, November & December.

But not in the Month.

Hence, it is the letter 'E'.

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Subject: Logic Puzzles Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE , TOEFL
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18 6914

Q:

In what time a 360 m. long train moving at the speed of 44 km/hr will cross a 140 m. long bridge ?

A) 36 sec	B) 39 sec
C) 41 sec	D) 43 sec

Answer & Explanation Answer: C) 41 sec

Explanation:

Speed = 44 kmph x 5/18 = 110/9 m/s

We know that, Time = distance/speed

Time = (360 + 140) / (110/9)

= 500 x 9/110 = 41 sec.

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Filed Under: Time and Distance
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12 6904

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