GATE Questions

Q:

The ratio of present ages of Hema and Chinnu is 13:17. Four years ago the ratio of their ages was 11:15. What will be the ratio of their ages six years hence ?

A) 3 : 7 B) 7 : 9
C) 4 : 5 D) 1 : 3
 
Answer & Explanation Answer: C) 4 : 5

Explanation:

Let their present ages be 13x and 17x.
Then, 13x-4/17x-4 = 11/15.
Solving this, we get x = 2.
Required ratio = 13x2 + 6/17x2 + 6 = 32/40 = 4/5.

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Filed Under: Problems on Ages
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Q:

If 6 (P's Capital ) = 8 ( Q's Capital ) = 12 ( R's Capital ) , then out of the total profit of Rs 4650 , R will receive ?

A) Rs. 1033.33 B) Rs. 1024
C) Rs. 1148.14 D) Rs. 1245.32
 
Answer & Explanation Answer: A) Rs. 1033.33

Explanation:

Let
P's capital = p,
Q's capital = q and
R's capital = r.
Then

6p = 8q = 12r
=> 3p = 4q = 6r
=>q = 3p/4
r = 3p/6 = p/2
P : Q : R = p : 3p/4 : p/2
= 4 : 3 : 2
R's share = 4650 * (2/9) = 150*6 = Rs. 1033.33.

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Filed Under: Partnership
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3 6864
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 6863
Q:

GUI stands for

A) Graphical Universal Interface B) Graph Use Interface
C) Graphical Unique Interface D) Graphical User Interface
 
Answer & Explanation Answer: D) Graphical User Interface

Explanation:

GUI stands for Graphical User Interface.

 

A Graphical User Interface is a computer interface that allows users to interact with a device through graphical elements such as pictures and animations, as opposed to text-based commands.

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9 6839
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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Q:

When 5% is lost in grinding Maize, a country has to import 20 million bags; but when only 2% is lost, it has to import only 15 million bags. Find the quantity of Maize, which grows in the country ?

A) 188 million B) 166 2/3 million
C) 192 3/4 million D) None
 
Answer & Explanation Answer: B) 166 2/3 million

Explanation:

5% - 2% = 3%
=> 3% ------ 5 million bags
100% ---- ?
=> 166 2/3 million bags.

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Filed Under: Arithmetical Reasoning
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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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Q:

A sum of Rs. 8,000 is deposited for 3 years at 5% per annum compound interest (compounded annually). The difference of interest for 3 years and 2 years will be

 

A) Rs. 387 B) Rs. 441
C) Rs. 469 D) Rs. 503
 
Answer & Explanation Answer: B) Rs. 441

Explanation:

Given principal amount = Rs. 8000

Time = 3yrs

Rate = 5%

C.I for 3 yrs = 8000 x 105100 x 105100 x 105100 - 8000= Rs. 1261

 

Now, C.I for 2 yrs = 8000 x 105100 x 105100= Rs. 820 

 

Hence, the required difference in C.I is 1261 - 820 = Rs. 441

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