GATE Questions

Q:

A person got Rs.48 more when he invested a certain sum at compound interest instead of simple interest for two years at 8% p.a. Find the sum  ?

A) Rs.8000 B) Rs.6500
C) Rs.7500 D) Rs.5000
 
Answer & Explanation Answer: C) Rs.7500

Explanation:

p=(d×1002)R2 

Where d is difference, r is rate of interest. 

=> (48 x 100 x 100) / 8 x 8 = Rs.7500

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Filed Under: Simple Interest
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Q:

The difference between circumference and semidiameter of a circle is 37 cm. What is the diameter of the circle ?

A) 18 cm B) 12 cm
C) 16 cm D) 14 cm
 
Answer & Explanation Answer: D) 14 cm

Explanation:

circumference of a circle = 2πr

 

=> 2 × 22/7 × r – r = 37

 

=> 37/7 × r = 37

 

=> r = 7 cm.

 

Diameter D = 2r = 7×2 = 14 cm.

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Filed Under: Area
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Q:

How many birthdays does the average person have?

Answer

Any person can have only 1 birthday i.e, the day he was born. And every year we celebrate it's anniversaries.

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Q:

If Reena’s age was twice of her present age, when subtracted from four times three years from hence, with three times the three years before her present age. What will be her age after one year ?

A) 22 yrs B) 21 yrs
C) 20 yrs D) 24 yrs
 
Answer & Explanation Answer: A) 22 yrs

Explanation:

Let Reena’s present age be 'K' yrs.
Given:{(K+3) x 4} - {(K-3) x 3)}
=> K = 21 yrs
So her present age is 21 yrs.
Then, her age after 1 year is 22 yrs.

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Filed Under: Problems on Ages
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Q:

The monomer of polythene is

A) ethylene B) ethyl alcohol
C) vinyl chloride D) ethanol
 
Answer & Explanation Answer: A) ethylene

Explanation:

The monomer of polythene is ethylene.

the_monomer_of_polythene_is1546857163.png image

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Filed Under: Chemistry
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Q:

What color does blue and yellow make?

A) Green B) Black
C) Red D) White
 
Answer & Explanation Answer: A) Green

Explanation:

Mixing of blue and yellow colors make Green Color.

                                 400px-Color_mixture.svg_1521793884.png image

 

RYB (an abbreviation of red–yellow–blue) is a historical set of colors used in subtractive color mixing and is one commonly used set of primary colors. It is primarily used in art and design education, particularly painting.

RYB predates modern scientific color theory, which has determined that cyan, magenta, and yellow are the best set of three colorants to combine, for the widest range of high-chroma colors.

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Filed Under: Physics
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Q:

Read the following puzzle carefully, answer the question asked below ?

Seven person K, L, M, N, O, P & Q likes seven colours. Yellow, White, Red, Orange, Blue, Gray and Black. They visit in different days starting from Monday to Sunday.

1) K visits one day after Thursday.

2) Only 4 people are in between K and L

3) The one who likes Red colour visits immediately after L.

4) Only one person visit between Red and Blue

5) The one who like white colour visit before one of days on which day M visits

6) The one who like white colour does not visit on Monday.

7) Only 1 person is in between N and O. N like Yellow.

8) There are same as many person in between K and Blue colour which are one less in between L and M.

9) Neither Q nor P likes Black.

10) Q does not visit on Saturday and does not like grey colour.

Question :

Who visits on Sunday and Tuesday and their favourite colors ?

A) P & M B) N & K
C) K & L D) P & Q
 
Answer & Explanation Answer: C) K & L

Explanation:

Monday          - N  - Yellow

Tuesday         - L  - White

Wednesday    - O  - Red

Thursday       - Q  - Orange

Friday           - M  - Blue

Saturday       - P  - Grey

Sunday         - K  - Black

From the above table,

K & L visits Sunday & Tuesday and their favourite colors are Black and white respectively.

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Filed Under: Deriving Conclusions From Passages
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Q:

A person lends Rs. 1540 for five years and Rs. 1800 for four years. If he gets Rs. 1788 as interest on both amounts, what is the rate of interest ?

A) 14.5% B) 11%
C) 12% D) 10.5%
 
Answer & Explanation Answer: C) 12%

Explanation:

Let the interest rate be r%

We know that,

S.I = PTR/100

=> (1540 x 5 x r)/100  +  (1800 x 4 x r)/100 = 1788

=> r = 178800/14900 = 12%

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Filed Under: Simple Interest
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