GATE Questions

Q:

How many different words can be made using the letters of the word ' HALLUCINATION ' if all constants are together?

A) 129780 B) 1587600
C) 35600 D) None of these
 
Answer & Explanation Answer: B) 1587600

Explanation:

 H   L   C   N    T    A   U   I   O

 

      L        N          A        I

 

There are total 131 letters out of which 7 are consonants and 6 are vowels. Also ther are 2L's , 2N's, 2A's and 2I's.

 

If all the consonants  are together then the numberof arrangements = 7!2!x 1/2! .

But the 7 consonants  can be arranged themselves in  7!2! x 1/2! ways. 

 

Hence the required number of ways = 7!2!2!2 = 1587600

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8 19263
Q:

In a test, minimum passing percentage for girls and boys is 35% and 40% respectively. A boy scored 483 marks and failed by 117 marks. What is the minimum passing marks for girls ?

A) 625 B) 525
C) 425 D) 325
 
Answer & Explanation Answer: B) 525

Explanation:

Given 40% minimum passing marks for boys = 483 + 117 = 600
=> 1% = 600/40
=> 100% = 600 x 100/40 = 1500
Minimum passing marks for girls = 35% of 1500 = 35 x 1500/100 = 525.

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15 19228
Q:

Which river is also known as dakshin ganga?

A) Cauvery B) Godavari
C) Krishna D) Brahmaputra
 
Answer & Explanation Answer: B) Godavari

Explanation:

River Godavari is known as Dakshin Ganga as it is one of the largest peninsular river as Himalayan and is same as Ganga river in the south.

which_river_is_also_known_as_dakshin_ganga1542952894.jpg image

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13 19217
Q:

Book is to chapter as organization is to

Answer

A book is consists of various chapters, so as the Organization consists of various departments. Therefore if Book is to chapter so organization is to department.


 


Hence, Book : Chapter :: Organisation : Department.

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16 19179
Q:

Which city is known as 'Gold capital of the world' ?

A) Johannesburg B) Paris
C) Dubai D) Saudi
 
Answer & Explanation Answer: A) Johannesburg

Explanation:
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90 19122
Q:

Which one of the following scripts of ancient India was written from right to left ?

A) Brahmi B) Kharoshti
C) Nandnagari D) Sharada
 
Answer & Explanation Answer: B) Kharoshti

Explanation:

The Kharoshi script is an ancient script used by the ancient Gandhara culture of South Asia primarily in modern-day Afghanistan and Pakistan to write the Gandhari language (a dialect of Prakrit) and the Sanskrit language.

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32 19066
Q:

How many parallelograms will be formed if 7 parallel horizontal lines intersect 6 parallel vertical lines?

A) 215 B) 315
C) 415 D) 115
 
Answer & Explanation Answer: B) 315

Explanation:
Parallelograms are formed when any two pairs of parallel lines (where each pair is not parallel to the other pair) intersect.
 

Hence, the given problem can be considered as selecting pairs of lines from the given 2 sets of parallel lines.
 

Therefore, the total number of parallelograms formed = 7C2 x 6C2 = 315
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30 19035
Q:

How many 6-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 and 7 so that the digits should not repeat and the second last digit is even ?

A) 521 B) 720
C) 420 D) 225
 
Answer & Explanation Answer: B) 720

Explanation:

Let last digit is 2
when second last digit is 4 remaining 4 digits can be filled in 120 ways, similarly second last digit is 6 remained 4 digits can be filled in 120 ways.
so for last digit = 2, total numbers=240

 

Similarly for 4 and 6
When last digit = 4, total no. of ways =240
and last digit = 6, total no. of ways =240
so total of 720 even numbers are possible.

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14 18936