GATE Questions

Q:

5/8 as a Decimal Equals To

A) 0.625 B) 0.541
C) 0.258 D) 0.147
 
Answer & Explanation Answer: A) 0.625

Explanation:

5/8 is Nothing but to divide 5 into 8 parts.

 

 

As 5 is smaller than 8, the quotient starts with a decimal point to make 5 as 50 to be divisible by 8. (0.)

 

 

Now 50 goes for 6 times in 8 leaving a remainder 2. (0.6)

 

  

Again 2 is smaller than 8, As it already has decimal point in the quotient, now 2 becomes 20.

 

  

Now 20 goes for 2 times in 8 leaving a remainder 4. (0.62)

 

  

Again 4 is smaller than 8, As it already has decimal point in the quotient, now 4 becomes 40.

 

 

Now 40 goes for 5 times in 8 leaving a remainder 0. (0.625)

 

 

Therefore, the decimal value of 58 is 0.625.

 

Now find a decimal value of 1117 and Discuss your at Discuss.

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Filed Under: Decimal Fractions
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8 2620
Q:

What rights does the Declaration of Independence express?

A) The right to remain silent when interrogated by police B) The right to citizenship
C) Legal rights of citizens D) Human rights of citizens, including life and liberty
 
Answer & Explanation Answer: C) Legal rights of citizens

Explanation:

The Declaration of Independence express Legal rights of citizens.

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Filed Under: Indian History
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1 2617
Q:

In the following question, two equations numbered 1 and 2 are given. You have to solve both the equations and determine the relation between a and b.

1.  5a2-18a+9=0

2.  3b2+5b-2=0

A) a >= b B) a <= b
C) a < b D) a > b
 
Answer & Explanation Answer: D) a > b

Explanation:

From solving 1 and 2 we get,

 

1.

5a(a-3)-3(a-3) = 0

 

(5a-3)(a-3) = 0

 

a = 3 or 3/5

 

2. 

 

3b(b+2)-1(b+2) = 0

 

b = -2 or b = 1/3

 

Here when a = 3, a > b for b = -2 and b = 1/3

 

when a = 3/5. a > b for b = -2 and b = 1/3.

 

Hence, it is clear that a > b. 

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Filed Under: Statement and Conclusions
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4 2616
Q:

The wavelength of a wave is the distance between

A) Crest and Trough B) Crest and Crest
C) Trough and Trough D) Both B & C
 
Answer & Explanation Answer: D) Both B & C

Explanation:

Distance between two Consecutive Crests or two Consecutive Troughs is called Wavelength. But the distance between crest and adjacent trough is half the wavelength.

That is the distance between adjacent crest and trough is called Half the wavelength.

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Filed Under: Physics
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11 2614
Q:

The sum of the present ages of a father and his son is 70 years. Five years ago, father's age was 5 times the age of the son, so now the son's age will be?

A) 12 B) 14
C) 15 D) 19
 
Answer & Explanation Answer: C) 15

Explanation:

                                                               Father           Son

 

5years ago the age of the father & son           5X                X

 

present the age of the father & son              5X+5             X+5

 

(present age of father) + (present age of son) = 70

 

       (5x+5)                 +        (x+5)              = 70

 

 Then you will get X = 10

 

Present age of the son (x+5) = 15

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Filed Under: Problems on Ages
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7 2607
Q:

During which process is water produced?

A) Acetyl COA formation B) Electron transport chain
C) Alcohol fermentation D) citric acid cycle
 
Answer & Explanation Answer: B) Electron transport chain

Explanation:
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Filed Under: General Science
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3 2606
Q:

Statement: There is a substantial increase in the number of accidents causing deaths and severe injuries due to malfunctioning of the traffic signals.
Course of action:
a. The traffic police should immediately post traffic personnel at the junctions.
b. The signal system should immediately be repaired or replaced.

A) Only a follows B) Either a or b follows
C) Only b follows D) Neither a nor b follows
 
Answer & Explanation Answer: B) Either a or b follows

Explanation:

Clearly, either the traffic signals should be made to function properly or traffic personnel should be deployed to guide vehicular movement in the right way. So either I or II follows.

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1 2605
Q:

Choose what replaces '?' in the following figure ?

creative111486456294.jpg image

A) Q B) O
C) M D) N
 
Answer & Explanation Answer: D) N

Explanation:

The alphabetical value of the letters in the left hand column follows through the sequence of Prime Numbers, with the letters in the right hand column representing the corresponding reverse alphabetical values. So,

M = Reverse of M = N.

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Filed Under: Missing letters puzzles
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6 2604