GATE Questions

Q:

If 78K928L is divisible by 6, then which of the following can Q and R take ?

A) K=2 & L=3 B) K=1 & L=4
C) K=1 & L=2 D) K=3 & L=3
 
Answer & Explanation Answer: B) K=1 & L=4

Explanation:

As per divisibility rule a number is divisible by 6 means it should be divisible by 2 and 3

case 1 : the divisibility rule for 2 is the number should be end with even number
in this case R =2 & R=4


case 2 : The divisibility rule for 3 is the sum of numbers should be divisible by 3
so if we take option (2) Q=1 & R=4 the sum is 39
if we take option (3) Q=1 & R=2 the sum is 37

So Option (2) is correct 39 is divided by 3

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Q:

Lux is the SI unit of

A) luminous flux B) luminous efficiency
C) intensity of illumination D) luminous intensity
 
Answer & Explanation Answer: C) intensity of illumination

Explanation:

The lux (lx) is the SI derived unit of illuminance and luminous emittance, measuring luminous flux per unit area. It is equal to one lumen per square meter.

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Q:

Dot cabs company provides cabs for software employees. The company has 8 Swift dzires, 6 Scorpios, 7 Innovas and few small cars. If Swift dzire makes one fourth of the total fleet, how many small cars are there in the company ?

A) 9 B) 10
C) 11 D) 12
 
Answer & Explanation Answer: C) 11

Explanation:

Given the company has 8 SD + 6 SRP + 7 IN = 21 cars + 'x' small cars.
Given SD makes 1/4 th of the total fleet.
=> 8 = 1/4 (21 + x)
=> 32 = 21 + x
=> x = 11
Therefore, the company has 11 small cars.

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Q:

The ratio of the speed of Two trains is 5:8. Sum of their length is 660. The ratio of time taken to cross an Electric Pole by train A and B is 4:3. What is the difference between the length of two trains?

A) 50m B) 40m
C) 60m D) 45m
 
Answer & Explanation Answer: C) 60m

Explanation:

Ans.
Given that length of first train + length of second train = 660
Speed of first train : Speed of second train = 5:8 =5x : 8x
Time taken to cross the poll by two trains = 4:3 =4y:3y
Now ,
(5x*4y) + (8x*3y) = 660
44xy = 660
xy = 15
L1 - L2 = 24xy -20xy = 4xy = 60 m

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Q:

Not including the sun, the closest stars to earth are

A) 4300 light-years away B) 430 light-years away
C) 43 light-years away D) 4.3 light-years away
 
Answer & Explanation Answer: D) 4.3 light-years away

Explanation:

The nearest stars to Earth are in the Alpha Centauri triple-star system, about 4.37 light-years away. One of these stars, Proxima Centauri, is slightly closer, at 4.26 light-years.

 

Of all the stars closer than 15 light-years, only two are spectral type G, similar to our sun: Alpha Centauri A and Tau Ceti. The majority are M-type red dwarf stars.

 

Only nine of the stars in this area is bright enough to be seen by the naked human eye from Earth. These brightest stars include Alpha Centauri A and B, Sirius A, Epsilon Eridani, Procyon, 61 Cygni A and B, Epsilon Indi A and Tau Ceti.

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Q:

Modem is used mostly for ?

A) A modern empty memory modules B) Connecting to internet
C) Mostly for file system D) All the above
 
Answer & Explanation Answer: B) Connecting to internet

Explanation:

A modem is nothing but short for Modulator and Demodulator. It is used mostly for connecting to the internet.

A modem is a device or program that enables a computer to transmit data over, for example, telephone or cable lines. Computer information is stored digitally, whereas information transmitted over telephone lines is transmitted in the form of analog waves.

 

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Q:

The fireworks exhibition had awesome

A) affects B) defects
C) effects D) show
 
Answer & Explanation Answer: C) effects

Explanation:

The fireworks exhibition had awesome effects.

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Q:

Which sentence contains a misplaced modifier?

A) Covered in fluffiness, the couple played with the kitten. B) While playing, Lancaster jumped on the feathers.
C) While eating a croissant, Latha waved to the crowd. D) Having eaten lunch, the girl turned on the laptop.
 
Answer & Explanation Answer: A) Covered in fluffiness, the couple played with the kitten.

Explanation:

When modifiers are misplaced or put in the wrong place, things can get quite confusing. A modifier adds detail or limits or changes the meaning of another word or phrase. 

 

Here Option A) "Covered in fluffiness, the couple played with the kitten" is the ony sentence contains a misplaced modifier. In the sentence, it gives the meaning that the couple are fluffy not the kitten.

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