GATE Practice Question and Answer

Q: A decision committee of 5 members is to be formed out of 4 Actors, 3 Directors and 2 Producers. In how many ways a committee of 2 Actors, 2 Directors and 1 Producer can be formed ? 2145 0

  • 1
    18
    Correct
    Wrong
  • 2
    24
    Correct
    Wrong
  • 3
    36
    Correct
    Wrong
  • 4
    32
    Correct
    Wrong
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Answer : 3. "36"
Explanation :

Answer: C) 36 Explanation: Required Number of ways = 4C2 × 3C2 × 2C1 = 36 = 36

Q: The length of a class room floor exceeds its breadth by 25 m. The area of the floor remains unchanged when the length is decreased by 10 m but the breadth is increased by 8 m. The area of the floor is 1576 0

  • 1
    5100 sq.m
    Correct
    Wrong
  • 2
    4870 sq.m
    Correct
    Wrong
  • 3
    4987 sq.m
    Correct
    Wrong
  • 4
    4442 sq.m
    Correct
    Wrong
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Answer : 1. "5100 sq.m"
Explanation :

Answer: A) 5100 sq.m Explanation: Let the breadth of floor be 'b' m. Then, length of the floor is 'l = (b + 25)' Area of the rectangular floor = l x b = (b + 25) × b According to the question, (b + 15) (b + 8) = (b + 25) × b b2 + 8b + 15b + 120 = b2 + 25b 2b = 120 b = 60 m. l = b + 25 = 60 + 25 = 85 m.   Area of the floor = 85 × 60 = 5100 sq.m.

Q: Which is the Largest Organ in the Human Body? 1742 0

  • 1
    Heart
    Correct
    Wrong
  • 2
    Brain
    Correct
    Wrong
  • 3
    Skin
    Correct
    Wrong
  • 4
    Liver
    Correct
    Wrong
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Answer : 3. "Skin"
Explanation :

Answer: C) Skin Explanation: There are about 70 organs in the human body. The Top 10 largest organs in the human body based on size are: 1. Skin 2. Liver 3. Brain 4. Lungs 5. Heart 6. Kidneys 7. The Spleen 8. The Pancreas 9. Thyroxin 10. The Prostrate.

Q: 0 divided by 0 1881 0

  • 1
    0
    Correct
    Wrong
  • 2
    1
    Correct
    Wrong
  • 3
    Undefined
    Correct
    Wrong
  • 4
    Indeterminate
    Correct
    Wrong
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Answer : 4. "Indeterminate"
Explanation :

Answer: D) Indeterminate Explanation: Indeterminate are those,which mathematics can’t determine. Because we don’t actually know which one is the exact answer for this due to having lots of results for this. Explanation:: Let us think by this analogy that, 0 / 1 = 0 0 / 2 = 0 ………… ……….. we can say 0 / n = 0 from this we can write, 0/0 = 0 Again, another analogy,(from limiting concept of 1/0 = infinity) 1 / 0 = +∞ or -∞ 2 /0 = +∞ or -∞ ……… .……. we can say 0 / 0 = ∞ Again, another analogy, 1 / 1 = 1 2/2 = 1 .…….. ……….. we can say, 0/0 = 1 Now, you see it’s confusing. Every analog is mathematically correct then which one is the right answer for 0/0.  Therefore Mathematics can’t determine this fact. So, 0/0 is indeterminate.

Q: A Step-Up Transformer Increases 1974 0

  • 1
    Power
    Correct
    Wrong
  • 2
    Current
    Correct
    Wrong
  • 3
    Frequency
    Correct
    Wrong
  • 4
    Voltage
    Correct
    Wrong
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Answer : 4. "Voltage"
Explanation :

Answer: D) Voltage Explanation: A transformer that increases voltage from primary to secondary (more secondary winding turns than primary winding turns) is called a Step-Up Transformer. Conversely, a transformer designed to do just the opposite is called a Step-Down Transformer.

Q: What is a Common Multiple? 1551 0

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Answer :
Explanation :

If the Multiples for two or more numbers which are Common, then those Multiples are said to be Common Multiples.    For Example : Multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30,... Multiples of 5 are 5, 10, 15, 20, 25, 30,... Here common multiples of 3 & 5 upto 30 are 15, 30.

Q: A woman fills a bucket in 6 minutes. 1845 buckets have to be filled from 8 am. to 9:30 am. How many woman employees should be employed for this task? 1364 0

  • 1
    111
    Correct
    Wrong
  • 2
    117
    Correct
    Wrong
  • 3
    123
    Correct
    Wrong
  • 4
    139
    Correct
    Wrong
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Answer : 3. "123"
Explanation :

Answer: C) 123 Explanation: We know that, M1 × D1W1 = M2 × D2W2 Here M1 = 1, D1 = 6 min, W1 = 1 and M2 = M, D2 = 90 min, W2 = 1845   1 × 61 = M × 901845  => M = 123

Q: The ratio between present ages of Renuka and Sony is 5 : 4 . 4 years ago, Sony's age was 24 years. What will be Renuka's age after 5 years ? 1420 0

  • 1
    25
    Correct
    Wrong
  • 2
    30
    Correct
    Wrong
  • 3
    35
    Correct
    Wrong
  • 4
    40
    Correct
    Wrong
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Answer : 4. "40"
Explanation :

Answer: D) 40 Explanation: Present age of Sony = 24 + 4 = 28 years After 5 years Renuka's age = 7×5 + 5 = 40 years

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