# GATE Questions

Q:

In a competitive examination, the average marks for the entire examination was 60 marks. If 20% of the applicants scored 85 marks and 25% scored 95 marks. What was the average marks of the remaining applicants in the examination ?

 A) 60 B) 52 C) 45 D) 35

Explanation:

Let the total applicants be 100
Then, 20% got 85 marks

i.e 20 $\fn_jvn \small \times$ 85 = 1700

and 25% got 95 marks

i.e 25 $\fn_jvn \small \times$ 95 = 2375

Now, the remaining applicants are 55 and let the average marks scored by them be x.

$\therefore$ 2375 + 1700 + 55$\fn_jvn \small \times$ x  =  60 $\fn_jvn \small \times$ 100

$\Rightarrow$ 6000 - 4075 = 55x
$\Rightarrow$ 55x=1925
$\Rightarrow$ x= $\inline \frac{1925}{55}$
$\Rightarrow$x=35.

7 18
Q:

Karthik read $\inline \fn_jvn \small \frac{6}{13}$ th of a book in 1st week and $\inline \fn_jvn \small \frac{5}{9}$ th of the remaining book in 2nd week. If there were 100 pages unread after 2nd week, how many pages were there in the book ?

 A) 404 B) 415 C) 418 D) 420

Explanation:

Let the total book be 1
Then, in the 1st week $\inline \fn_jvn \small \frac{6}{13}$th of book is read
i.e remaining pages = $\inline \fn_jvn \small 1-\frac{6}{13} = \frac{7}{13}$
in 2nd week he read $\inline \fn_jvn \small \frac{5}{9}$th of it
i.e $\inline \fn_jvn \small \frac{5}{9}$ $\inline \fn_jvn \small \times \frac{7}{13} = \frac{35}{117}$
remaining pages after 2nd week = $\inline \fn_jvn \small \frac{7}{13}-\frac{35}{117} = \frac{28}{117}$
But given remaining pages after 2nd week = 100
$\fn_jvn&space;\small&space;\Rightarrow$ $\inline \fn_jvn \small \frac{28x}{117} = 100$
$\fn_jvn&space;\small&space;\Rightarrow$   x = 418

$\fn_jvn&space;\small&space;\therefore$ The total pages in the book are 418

6 18
Q:

An electronic device rearranges numbers step-by-step in a particular order according to set of rules. The device stops when the final result is obtained.

Input: 84 15 35 04 18 96 62 08
Step 1: 96 84 15 35 04 18 62 08
Step 2: 96 84 62 15 35 04 18 08
Step 3: 96 84 62 35 15 04 18 08
Step 4: 96 84 62 35 18 15 04 08
Step 5: 96 84 62 35 18 15 08 04
And Step 5 is the last step for this input. Now, find out an appropriate step in the following question following the above rule.

Question:
Input: 16 09 24 28 15 04
What will be the third step for this input ?

 A) 28 24 15 16 04 09 B) 28 24 16 15 09 04 C) 24 28 15 16 09 04 D) 28 24 16 15 04 09

Explanation:

Carefully obsrving the given arrangement, we find the following pattern:
We observe that the given numbers are arranged in descending order (from left to right), altering the position of only one number in each step, followed by the other numbers as it is. The process continues till the whole set of numbers is arranged in the descending order.

Step1: 28 16 09 24 15 04
Step2: 28 24 16 09 15 04
Step3: 28 24 16 15 09 04

5 17
Q:

Find out which of the figures (1), (2), (3) and (4) can be formed from the pieces given in figure (X).

 A) 4 B) 3 C) 2 D) 1

Explanation:

Filed Under: Image Analysis - Non Verbal Reasoning
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Bank Clerk , Bank PO

2 14
Q:

A word arranging device rearranges words step-by-step in a particular order according to set of rules. The device stops when the final result is obtained.
Input: but going for crept te light sir
Step 1: crept but going for te light sir
Step 2: crept going light but for te sir
Step 3: crept going light but for sir te
And Step 3 is the last step for this input. Now, find out an appropriate step in the following question following the above rules.

Question:
Input: more fight cats cough sough acts idea
What will be the last step for this input ?

 A) cough fight sough acts cats idea more B) cough fight sough acts cats more idea C) cough more fight sough acts idea cats D) none of these

Answer & Explanation Answer: A) cough fight sough acts cats idea more

Explanation:

Carefully obsrving the given arrangement, we find the following pattern:
We observe that,first all the words with the highest number of letters are arranged in the alphabetical order, followed by the words with the second highest number of letters and so on.However, the position of only one word is altered at each step.
Input: more fight cats cough sough acts idea
Step1: cough more fight cats sough acts idea
Step2: cough fight more cats sough acts idea
Step3: cough fight sough more cats acts idea
Step4: cough fight sough acts more cats idea
Step5: cough fight sough acts cats more idea
Step6: cough fight sough acts cats idea more