IIT JEE Practice Question and Answer

Q: The age of Manisha and Sudeshna are in the ratio of 5 : 6 respectively. After 8 years the ratio  of their ages will be 7 : 8. What is the difference of their ages ? 1628 0

  • 1
    6
    Correct
    Wrong
  • 2
    4
    Correct
    Wrong
  • 3
    8
    Correct
    Wrong
  • 4
    10
    Correct
    Wrong
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Answer : 2. "4"
Explanation :

Answer: B) 4 Explanation: Let the age of Manisha and Sudeshna is 5x and 6x years respectively. According to the given data, 5x+8/6x+8 = 7/8 42x + 56 = 40x + 64 x = 4 Required Difference of their ages = (6 × 4)  –  (5 × 4) = 4 years.

Q: What is the length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high  ? 1627 0

  • 1
    13 m
    Correct
    Wrong
  • 2
    14 m
    Correct
    Wrong
  • 3
    15 m
    Correct
    Wrong
  • 4
    16 m
    Correct
    Wrong
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Answer : 1. "13 m"
Explanation :

Answer: A) 13 m Explanation: The length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high is   =>  d2 = 122 + 42 + 32 = 13mts.

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? 1627 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: What is the sum of all 3 digits number that can be formed using digits 0,1,2,3,4,5 with no repitition ? 1626 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: Lasya invested certain amount for two rates of simple interests at 5% p.a. and 4% p.a. What is the ratio of Lasya's investments if the interests from those investments are equal ? 1626 0

  • 1
    4 : 5
    Correct
    Wrong
  • 2
    5 : 4
    Correct
    Wrong
  • 3
    7 : 6
    Correct
    Wrong
  • 4
    6 : 7
    Correct
    Wrong
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Answer : 1. "4 : 5"
Explanation :

Answer: A) 4 : 5 Explanation: Let x be the investment of Lasya in 5% and y be in 4% x(5)(n)/100 = y(4)(n)/100 => x/y = 4/5 x : y = 4 : 5

Q: An electrically charged atom or group of atoms is called 1625 0

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    An ion
    Correct
    Wrong
  • 2
    A meson
    Correct
    Wrong
  • 3
    A electron
    Correct
    Wrong
  • 4
    None of the above
    Correct
    Wrong
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Answer : 1. "An ion"
Explanation :

Answer: A) An ion Explanation: An electrically charged atom or group of atoms formed by the loss or gain of one or more electrons is called an Ion. Cation: An ion is a cation (positive ion) if it is created by electron loss and is attracted to the cathode in electrolysis. Anion: An ion is an anion (negative ion) if it is created by an electron gain and is attracted to the anode.   The valence of an ion is equal to the number of electrons lost or gained and is indicated by a plus sign for cations and a minus sign for anions. Ex: Na +, Cl−, Ca ++,...

Q: Name the player who became the first Indian javelin thrower to claim a gold medal at the Commonwealth Games 2018. 1625 0

  • 1
    Neeraj Chopra
    Correct
    Wrong
  • 2
    Ankur Mittal
    Correct
    Wrong
  • 3
    Seema Antil
    Correct
    Wrong
  • 4
    Annu Rani
    Correct
    Wrong
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Answer : 1. "Neeraj Chopra"
Explanation :

Answer: A) Neeraj Chopra Explanation: Neeraj Chopra became the first Indian javelin thrower to claim a gold medal at the Commonwealth Games, with a season’s best effort of 86.47m in the final. The 20-year-old junior world champion had made the final after achieving the qualifying mark in his very first throw.

Q: In economics,"capital" refers to 1624 0

  • 1
    mineral resources
    Correct
    Wrong
  • 2
    the money in one's pocket
    Correct
    Wrong
  • 3
    consumer goods
    Correct
    Wrong
  • 4
    buildings and equipment
    Correct
    Wrong
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Answer : 4. "buildings and equipment"
Explanation :

Answer: D) buildings and equipment Explanation: Capital refers to buildings and equipment i.e, goods which are used by workers to produce other goods such as machinery, land, ... Capital has a number of related meanings in economics, finance, and accounting. In economics, Capital comprises one of the four major factors of production, the others being land, labor, and entrepreneurship. In finance and accounting, capital generally refers to financial wealth, especially that used to start or maintain a business.

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