IIT JEE Practice Question and Answer

Q: What can you hear but not touch or see? 1938 0

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Answer :
Explanation :

The sound is what can you hear but not touch or see.

Q: A number is increased by 20% and then decreased by 20%, the final value of the number is ? 1938 0

  • 1
    increase by 2%
    Correct
    Wrong
  • 2
    decrease by 3%
    Correct
    Wrong
  • 3
    decrease by 4%
    Correct
    Wrong
  • 4
    increase by 5%
    Correct
    Wrong
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Answer : 3. "decrease by 4%"
Explanation :

Answer: C) decrease by 4% Explanation: Here, x = 20 and y = - 20Therefore, the net % change in value=x + y + xy100 %= 20 + -20 + 20 × -20100%  or  - 4% Since the sign is negative, there is a decrease in value by 4%.

Q: Mg+O2=MgO Balance the above Chemical equation? 1938 0

  • 1
    2Mg + O2 ----> 2MgO
    Correct
    Wrong
  • 2
    2Mg + O ----> 2MgO
    Correct
    Wrong
  • 3
    2Mg + O ----> MgO2
    Correct
    Wrong
  • 4
    2Mg + O2 ----> MgO2
    Correct
    Wrong
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Answer : 1. "2Mg + O2 ----> 2MgO"
Explanation :

Answer: A) 2Mg + O2 ----> 2MgO Explanation: Given Equation is  Mg + O2 → MgO Balancing the Chemical Equation is nothing but Conservation of Matter. As Matter is Neither created nor Destroyed, it must be conserved. Here we have 1 Mg and 2 O on the left side and 1 Mg and 1 O on the right side To balance that, add 1 Mg on the left side so that it becomes 2 Mg and 2 O on the left side i.e, 2 Mg + O2 → 2 MgO Here it has 2 Mg & 2 O on the left side and 2 Mg and 2 O on the right side and the Chemical equation is Balanced.

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Answer : 3. "80%"
Explanation :

Answer: C) 80% Explanation: circumference of A = 2πr = 8 => so r = 4πvolume = π×4π2×10 = 160πcircumference of B = 2πr   = 10 => so r = 5πvolume = π×5π2×8 =  200πso ratio of capacities = 160/200 = 0.8 so capacity of A will be 80% of the capacity of B.

Q: The highway transportation system is coordinated by 1937 0

  • 1
    Department of Transportation
    Correct
    Wrong
  • 2
    Your local police department
    Correct
    Wrong
  • 3
    The Department of Education
    Correct
    Wrong
  • 4
    The Internal Revenue Service
    Correct
    Wrong
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Answer : 1. "Department of Transportation"
Explanation :

Answer: A) Department of Transportation Explanation:

Q: There are 5 consecutive odd numbers. If the difference between square of the average of first two odd number and the of the average last two odd numbers is 396, what is the smallest odd number? 1937 0

  • 1
    29
    Correct
    Wrong
  • 2
    27
    Correct
    Wrong
  • 3
    31
    Correct
    Wrong
  • 4
    33
    Correct
    Wrong
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Answer : 1. "29"
Explanation :

Answer: A) 29 Explanation: Let the five consecutive odd numbers be x-4, x-2, x, x+2, x+4 According to the question, Difference between square of the average of first two odd number and the of the average last two odd numbers is 396 i.e, x+3 and x-3 ⇒x + 32 - x - 32 = 396⇒ x2 + 9 + 6x - x2 + 6x - 9 = 396⇒ 12x = 396⇒ x = 33   Hence, the smallest odd number is 33 - 4 = 29.

Q: A class has 8 football players. A 5-member team and a captain will be selected out of these 8 players. How many different selections can be made ? 1937 0

  • 1
    210
    Correct
    Wrong
  • 2
    168
    Correct
    Wrong
  • 3
    1260
    Correct
    Wrong
  • 4
    10!/6!
    Correct
    Wrong
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Answer : 2. "168"
Explanation :

Answer: B) 168 Explanation: we can select the 5 member team out of the 8 in 8C5 ways = 56 ways. The captain can be selected from amongst the remaining 3 players in 3 ways. Therefore, total ways the selection of 5 players and a captain can be made = 56x3 = 168 ways.   (or)   Alternatively, A team of 6 members has to be selected from the 8 players. This can be done in 8C6 or 28 ways. Now, the captain can be selected from these 6 players in 6 ways. Therefore, total ways the selection can be made is 28x6 = 168 ways.

Q: There are 15 lines in plane. How many intersections (Maximum) can be made ? 1936 0

  • 1
    55
    Correct
    Wrong
  • 2
    105
    Correct
    Wrong
  • 3
    215
    Correct
    Wrong
  • 4
    148
    Correct
    Wrong
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Answer : 2. "105"
Explanation :

Answer: B) 105 Explanation: First line will cut all other 14, similarly second will cut 13, and so onTotal = 14+13+12+11+10+9+8+7+6+5+4+3+2+1 = 105.

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