GATE Questions

Q:

In a fort, there are 1200 soldiers. If each soldier consumes 3 kg per day, the provisions available in the fort will last for 30 days. If some more soldiers join, the provisions available will last for 25 days given each soldier consumes 2.5 kg per day. Find the number of soldiers joining the fort in that case ?

A) 693 B) 741
C) 528 D) 654
 
Answer & Explanation Answer: C) 528

Explanation:

Assume x soldiers join the fort. 1200 soldiers have provision for 1200 (days for which provisions last them)(rate of consumption of each soldier)
= (1200)(30)(3) kg.

Also provisions available for (1200 + x) soldiers is (1200 + x)(25)(2.5) k

As the same provisions are available
=> (1200)(30)(3) = (1200 + x)(25)(2.5)

x = ([(1200)(30)(3)] / (25)(2.5)) - 1200 => x = 528.

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Filed Under: Ratios and Proportions
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30 19673
Q:

Vinod have 20 rupees. He bought 1, 2, 5 rupee stamps. They are different in numbers by the reason of no change, the shop keeper gives 3 one rupee stamps. So how many stamps Vinod have ?

A) 10 B) 18
C) 12 D) 15
 
Answer & Explanation Answer: A) 10

Explanation:

Given total rupees = 20 Rs
No. of one rupee stamps = 3
Now, remaining money = Rs. 17
With that he buys only 2 and 5 rupee stamps
Let number of Rs. 5 stamps = K
Let number of Rs. 2 stamps = L
5K + 2L = 17
K = 3, L = 1 (possible)
L = 6, K = 1 (possible)
=> But given that they are different in number so, K is not equal to 3
one rupee stamps = 3
2 two stamps = 6
5 rupee stamps = 1
Total number of stamps = 10.

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45 19600
Q:

In a certain code language 'how many goals scored' is written as '5397'; 'many more matches' is written as '982'; and 'he scored five' is written as '163'. How is 'goals' written in that code language ?

A) 5 B) 7
C) 3 D) Data is not sufficient
 
Answer & Explanation Answer: D) Data is not sufficient

Explanation:

From the given data,
how many goals scored = 5397....(1)
many more matches = 982.....(2)
he scored five = 163.....(3)
from (1)&(2), many = 9 ....(4)
from (1)&(3), scored = 3 ....(5)
Using (4)&(5)in(1), we get goals = 5 or 7.

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Filed Under: Coding and Decoding
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53 19456
Q:

A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present ?

A) 36 yrs B) 38 yrs
C) 40 yrs D) 42 yrs
 
Answer & Explanation Answer: C) 40 yrs

Explanation:

Let the mother's present age be x years.

Then, the person's present age = 2/5 x years.

(2x/5 + 8) = 1/2 (x + 8)

2(2x + 40) = 5(x + 8) => x = 40.

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Filed Under: Problems on Ages
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26 19452
Q:

The Computer size was very large in

A) Fourth Generation B) Third Generation
C) Second Generation D) First Generation
 
Answer & Explanation Answer: D) First Generation

Explanation:

The First Generation Computers size was very large. 

 

Since the First generation computers used 1000s of vacuum tubes that required lot of space made them gigantic in size. Single transistor could replace 1000 vacuum tubes and a single IC chip replaced 1000s of transistors made computers smaller and more speedy.

 

It is obvious that computers developed with more power, reliability, speed and smaller sizes due to the enhancement of technology.

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34 19411
Q:

Solve the missing number puzzle?

number_puzzle31533710656.jpg image

Answer

Here in the above puzzle,


Consider the columns.


Column 1 = Row 1 + Row 2 = Row 3


That is,


44 + 12 = 56


Similarly,


48 + 30 = 78


Hence, 14 + 51 = 65.


 


Hence, the missing number in the given puzzle = 65.

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Subject: Number Puzzles Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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114 19249
Q:

Eight years ago, Ajay's age was 4/3 times that of Vijay. Eight years hence, Ajay's age will be 6/5 times that of Vijay. What is the present age of Ajay ?

A) 41 yrs B) 40 yrs
C) 37 yrs D) 33 yrs
 
Answer & Explanation Answer: B) 40 yrs

Explanation:

Let the present ages of Ajay and Vijay be 'A' and 'V' years respectively.

=> A - 8 = 4/3 (V - 8) and A + 8 = 6/5 (V + 8)

=> 3/4(A - 8) = V - 8 and 5/6(A + 8) = V + 8

V = 3/4 (A - 8) + 8 = 5/6 (A + 8) - 8

=> 3/4 A - 6 + 8 = 5/6 A + 20/3 - 8

=> 10 - 20/3 = 10/12 A - 9/12 A

=> 10/3 = A/12 => A = 40.

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26 19197
Q:

Magnetic disks are the most popular medium for

A) Sequential access B) Direct access
C) Both A & B D) None of the above
 
Answer & Explanation Answer: C) Both A & B

Explanation:

A magnetic disk is a storage device that uses a magnetization process to write, rewrite and access data. It is covered with a magnetic coating and stores data in the form of tracks, spots, and sectors. Hard disks, zip disks, and floppy disks are common examples of magnetic disks.

Magnetic_disks_are_the_most_popular_medium_for11558071061.png image        Magnetic_disks_are_the_most_popular_medium_for1558071122.png image

 

 

Hence, Magnetic disks are the most popular medium for both Direct access and Sequential access.

 

 

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24 19103