GATE Questions

Q:

6, 3, 3, 6, 24, ?

Find the next number in the given number series?

A) 192 B) 186
C) 182 D) 194
 
Answer & Explanation Answer: A) 192

Explanation:

Given 

 

6   3   3   6   24   ?

 

Here

 

6

 

6 x 0.5 = 3

 

3 x 1 = 3 

 

3 x 2 = 6

 

6 x 4 = 24 

 

24 x 8 = 192

 

The next number in the given series is 192.

 

 

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Q:

SI unit of equivalent conductance

A) ohm/cm B) Siemens m2/equivalent
C) Siemens/equivalent D) mho/cm
 
Answer & Explanation Answer: B) Siemens m2/equivalent

Explanation:

SI_unit_of_equivalent_conductance1556274980.jpg image

 

Equivalent conductance is defined as the conductance of an electrolyte solution containing one gram equivalent of the electrolyte. It is equal to the product of specific conductance (k) of the solution and the volume (V) of the solution that contains one gram equivalent of the electrolyte.

 

 λ = k x V

 

Unit of spceific conductance k is Siemens / m.

 

Volume of the solution V is m3

 

Now, required equivalent conductance unit is Siemens.m2/equivalent .

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136 49392
Q:

A,B,C together can do a piece of work in 10 days.All the three started workingat it together and after 4 days,A left.Then,B and C together completed the work in 10 more days.In how many days can complete a work alone ?

A) 25 B) 24
C) 23 D) 21
 
Answer & Explanation Answer: A) 25

Explanation:

(A+B+C) do 1 work in 10 days.

So (A+B+C)'s 1 day work=1/10 and as they work together for 4 days so workdone by them in 4 days=4/10=2/5


Remaining work=1-2/5=3/5

 

(B+C) take 10 more days to complete 3/5 work. So( B+C)'s 1 day work=3/50


Now A'S 1 day work=(A+B+C)'s 1 day work - (B+C)'s 1 day work=1/10-3/50=1/25

A does 1/25 work in in 1 day

Therefore 1 work in 25 days.

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Q:

Complete the Analogy?

 

Grain : Stock :: Stick : ?

A) Bundle B) String
C) Collection D) Heap
 
Answer & Explanation Answer: A) Bundle

Explanation:

Here the relation between the given words is that the second word is the collection of the first word.

As the collection of grains is called Stock, similarly, the collection of sticks is called as Bundle.

 

Hence, Grain : Stock :: Stick : Bundle.

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Q:

Which two months in a year have the same calendar?

A) October, December B) April, November
C) June, October D) April, July
 
Answer & Explanation Answer: D) April, July

Explanation:

If the period between the two months is divisible by 7, then that two months will have the same calender .

 
(a). Oct + Nov  = 31 + 30 = 61 (not divisible by 7)

(b). Apr + May + Jun + Jul + Aug + Sep + Oct = 30 + 31 + 30 + 31 + 31 + 30 + 31  = 214 (not divisible by 7)

(c). Jun + July + Aug + Sep = 30 + 31 + 31 + 30 = 122 (not divisible by 7)

(d). Apr + May + June = 30 + 31 + 30 = 91 (divisible by 7)

 

Hence, April and July months will have the same calendar.

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Q:

Which is a green planet in the solar system?

A) Pluto B) Venus
C) Uranus D) Mars
 
Answer & Explanation Answer: C) Uranus

Explanation:

Uranus is the seventh planet from the Sun which looks green color. It has the third-largest planetary radius and fourth-largest planetary mass in the Solar System. Uranus is similar in composition to Neptune, and both have different bulk chemical composition from that of the larger gas giants Jupiter and Saturn.

 

Which_is_a_green_planet_in_the_solar_system1558075325.jpg image 

 

Colors of other planets::

 

Mercury - Gray or slightly brownish

 

Venus - Pale yellow

 

Earth - Blue with white clouds

 

Mars - Mostly reddish brown

 

Jupiter - Orange and white bands

 

Saturn - Pale gold

 

Uranus - Green

 

Neptune - Pale blue

 

Pluto - Light brown

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Q:

26 january 1950 which day of the week?

A) Monday B) Wednesday
C) Thursday D) Tuesday
 
Answer & Explanation Answer: C) Thursday

Explanation:

We know that,

Odd days --> days more than complete weeks

Number of odd days in 400/800/1200/1600/2000 years are 0.

Hence, the number of odd days in first 1600 years are 0.

Number of odd days in 300 years = 1

Number of odd days in 49 years = (12 x 2 + 37 x 1) = 61 days = 5 odd days

Total number of odd days in 1949 years = 1 + 5 = 6 odd days

Now look at the year 1950

Jan 26 = 26 days = 3 weeks + 5 days = 5 odd days

Total number of odd days = 6 + 5 = 11 => 4 odd days

 

Odd days :-

0 = sunday ;

1 = monday ;

2 = tuesday ;

3 = wednesday ;

4 = thursday ;

5 = friday ;

6 = saturday

 

Therefore, Jan 26th 1950 was Thursday.

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Q:

56% of 225 + 20% of 150 = ? - 109

 

Find the value of '?' in the above equation

A) 264 B) 220
C) 241 D) None
 
Answer & Explanation Answer: A) 264

Explanation:

Given 56% of 225 + 20% of 150 = ? - 109

we know that a% of b = b% of a

Now,

225% of 56 + 20% of 150 = ? - 109

200% of 56 + 25% of 56 + 20% of 150 = ? - 109

112 + 14 + 30 = ? - 109

? = 112 + 14 + 30 + 109

? = 264

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