IIT JEE Practice Question and Answer

Q: Antonym of:: Amicable 1546 0

  • 1
    Hostile
    Correct
    Wrong
  • 2
    Loveable
    Correct
    Wrong
  • 3
    Friendly
    Correct
    Wrong
  • 4
    Peaceful
    Correct
    Wrong
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Answer : 1. "Hostile"
Explanation :

Answer: A) Hostile Explanation: Amicable means Friendly or in Loveable, peaceful sense. Then Antonyms for Amicable are Opposite of Friendly => Unfriendly, Hostile, Unpeaceful, etc...

Q: A rectangular lawn of dimensions 80 m x 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m ? 1546 0

  • 1
    Rs. 3600
    Correct
    Wrong
  • 2
    Rs. 3800
    Correct
    Wrong
  • 3
    Rs. 3900
    Correct
    Wrong
  • 4
    Rs. 3700
    Correct
    Wrong
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Answer : 3. "Rs. 3900"
Explanation :

Answer: C) Rs. 3900 Explanation: Area = (l + b – d) d = (80 + 60 – 10)10 => 1300 sq.mts => 1300 x 3 = Rs.3900

Q: What is the capital of Bhutan ? 1545 0

  • 1
    Dhaka
    Correct
    Wrong
  • 2
    Thimphu
    Correct
    Wrong
  • 3
    Tripoli
    Correct
    Wrong
  • 4
    Tokyo
    Correct
    Wrong
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Answer : 2. "Thimphu"
Explanation :

Answer: B) Thimphu Explanation:

Q: What is the sum of all 3 digits number that can be formed using digits 0,1,2,3,4,5 with no repitition ? 1545 0

  • 1
    28450
    Correct
    Wrong
  • 2
    26340
    Correct
    Wrong
  • 3
    32640
    Correct
    Wrong
  • 4
    36450
    Correct
    Wrong
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Answer : 3. "32640"
Explanation :

Answer: C) 32640 Explanation: We know that zero can't be in hundreds place. But let's assume that our number could start with zero.   The formula to find sum of all numbers in a permutation is   111 x no of ways numbers can be formed for a number at given position x sum of all given digits   No of 1 s depends on number of digits   So,the answer us   111 x 20 x (0+1+2+3+4+5) = 33300   We got 20 as follows. If we have 0 in units place we can form a number in 4*5 ways. This is for all numbers. So we have substituted 20 in formula.   Now, this is not the final answer because we have included 0 in hundreds place. so we have to remove the sum of all numbers that starts with 0.   This is nothing but the sum of all 2 digits numbers formed by 1 2 3 4 5. Because 0 at first place makes it a 2 digit number.   So the sum for this is 11 x 4 x (1+2+3+4+5). =660   Hope u understood why we use 4. Each number can be formed in 4x1 ways   So, the final answer is 33300-660 = 32640

Q: At what rate percent on simple interest will Rs.415 amount to Rs.514 in 4 years  ? 1545 0

  • 1
    4.58 %
    Correct
    Wrong
  • 2
    5.96 %
    Correct
    Wrong
  • 3
    6.52 %
    Correct
    Wrong
  • 4
    4.98 %
    Correct
    Wrong
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Answer : 2. "5.96 %"
Explanation :

Answer: B) 5.96 % Explanation: Difference in amount = 514 - 415 = 99 99 = (415 x 4 x R)/100 R = 5.96%

Q: Two candidates fought in a municipality election. One of them got 54% of the total votes pooled and won by 1080 votes. What was the total number of votes polled ? 1545 0

  • 1
    12000
    Correct
    Wrong
  • 2
    13500
    Correct
    Wrong
  • 3
    15400
    Correct
    Wrong
  • 4
    11000
    Correct
    Wrong
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Answer : 2. "13500"
Explanation :

Answer: B) 13500 Explanation: Given in municipality election 54% votes have won by 1080   Let the total number of votes be x.    54x100 - 46x100 = 1080   8x = 108000   x = 13,500   Therefore, total number of votes = 13,500.

Q: A girl read 2/5 part of a book in 1st day, 34% in second day and remaining page in next two days. In two days she read equal number of page. If she read 52 pages on last day, then find out how many pages did the book contain? 1545 0

  • 1
    400
    Correct
    Wrong
  • 2
    376
    Correct
    Wrong
  • 3
    382
    Correct
    Wrong
  • 4
    356
    Correct
    Wrong
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Answer : 1. "400"
Explanation :

Answer: A) 400 Explanation: 1st day the girl read = 40% 2nd day she read = 34 % Remaining percentage of book = 100% - (40% +34%) = 26% But given last two days she read equal number of pages => Each day she read 26%/2 = 13% Last day she read 52 pages = 13% 13% = 52 1% = 4 => 100% = 400 Total pages in the book is 400.

Q: How many years it takes for Pluto to Orbit the Sun? 1545 0

  • 1
    76 yrs
    Correct
    Wrong
  • 2
    144 yrs
    Correct
    Wrong
  • 3
    198 yrs
    Correct
    Wrong
  • 4
    248 yrs
    Correct
    Wrong
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Answer : 4. "248 yrs"
Explanation :

Answer: D) 248 yrs Explanation: It takes 248 yrs for Pluto to orbit the Sun.

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