IIT JEE Practice Question and Answer

Q: Thread is to String as Cask is to 3897 0

  • 1
    Barrel
    Correct
    Wrong
  • 2
    Disc
    Correct
    Wrong
  • 3
    Wallet
    Correct
    Wrong
  • 4
    Box
    Correct
    Wrong
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Answer : 1. "Barrel"
Explanation :

Answer: A) Barrel Explanation: Here Thread and String are Synonyms of each other. Then the answer will be the synonym of Cask.  Cask is nothing but a large barrel-like container used for storing liquids, typically alcoholic drinks.  Ex : Drum, Vessel, Tank, Barrel, Hogshead, Firkin,...   Here from the options Barrel is the only synonym of Cask.   Thus,  Thread : String :: Cask : Barrel

Q: If the selling price of a mat is five times the discount offered and if the percentage of discount is equal to the percentage profit, find the ratio of the discount offered to the cost price. 3895 0

  • 1
    6:31
    Correct
    Wrong
  • 2
    11:30
    Correct
    Wrong
  • 3
    7:30
    Correct
    Wrong
  • 4
    31:6
    Correct
    Wrong
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Answer : 3. "7:30"
Explanation :

Answer: C) 7:30 Explanation: Since S.P. = 5 (M.P. - S.P.) => 5 M.P. = 6 S.P.M.P. = (6/5) S.P.Since the percentage discount = Percentage profit,65S.P - S.P65S.P×100 = S.P -C.PC.P×100Therefore, 1/6 = (S.P/C.P) – 1 => S.P = (7/6) C.PM.P = 6/5 S.P = 6/5 x 7/6 C.P = 7/5 C.PTherefore, Ratio of discount to C.P= (M.P – S.P)/C.P = [{(7/5)C.P - (7/6)C.P} / C.P.]= 7/30   Therefore, the ratio is 7 : 30

Q: A person starting with 64 rupees and making 6 bets, wins three times and loses three times, the wins and loses occurring in random order. The chance for a win is equal to the chance for a loss. If each wager is for half the money remaining at the time of the bet, then the final result is: 3894 0

  • 1
    A gain of Rs. 27
    Correct
    Wrong
  • 2
    A loss of Rs. 37
    Correct
    Wrong
  • 3
    A loss of Rs. 27
    Correct
    Wrong
  • 4
    A gain of Rs. 37
    Correct
    Wrong
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Answer : 2. "A loss of Rs. 37"
Explanation :

Answer: B) A loss of Rs. 37 Explanation: As the win leads to multiplying the amount by 1.5 and loss leads to multiplying the amount by 0.5, we will multiply the initial amount by 1.5 thrice and by 0.5 thrice (in any order). The overall resultant will remain same. So final amount with the person will be (in all cases): = 64(1.5)(1.5)(1.5)(0.5)(0.5)(0.5)= Rs. 27 Hence the final result is:  64 − 27 = 37 A loss of Rs.37

Q: Find the missing number in the given number series? 2676, 445, ?, 21,6, 2, 1 3893 0

  • 1
    88
    Correct
    Wrong
  • 2
    92
    Correct
    Wrong
  • 3
    96
    Correct
    Wrong
  • 4
    102
    Correct
    Wrong
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Answer : 1. "88"
Explanation :

Answer: A) 88 Explanation: The given number series 2676, 445, ?, 21,6, 2, 1 follows a pattern that, From right side, 1 1 x 1 + 1 = 2 2 x 2 + 2 = 6 6 x 3 + 3 = 21 21 x 4 + 4 = 88 88 x 5 + 5 = 445 445 x 6 + 6 = 2676   Hence the missing number in the given number series is 88.

Q: Five men and nine women can do a piece of work in 10 days. Six men and twelve women can do the same work in 8 days. In how many days can three men and three women do the work  ? 3876 0

  • 1
    18 days
    Correct
    Wrong
  • 2
    20 days
    Correct
    Wrong
  • 3
    16 days
    Correct
    Wrong
  • 4
    14 days
    Correct
    Wrong
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Answer : 2. "20 days"
Explanation :

Answer: B) 20 days Explanation: (5m + 9w)10 = (6m + 12w)8  => 50m + 90w = 48w + 96 w    => 1m = 3w 5m + 9w = 5m + 3m = 8m   8 men can do the work in 10 days. 3m +3w = 3m + 1w = 4m So, 4 men can do the work in (10 x 8)/4 = 20 days.

Q: Which best describes how air moves during convection? 3873 0

  • 1
    cool air falls down
    Correct
    Wrong
  • 2
    warm air falls down
    Correct
    Wrong
  • 3
    cool air is replaced by warm air
    Correct
    Wrong
  • 4
    air always falls down
    Correct
    Wrong
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Answer : 1. "cool air falls down"
Explanation :

Answer: A) cool air falls down Explanation: During convection, cool and dense air falls through the warmer and less dense air. The warm air having less mass is being displaced by the cooler which is much heavy. Convection always involves the air rising through the atmosphere.

Q: There are 100 students in 3 sections A, B and C of a class. The average marks of all the three sections was 84. The average of B and C was 87.5 and the average marks of students in A section was : 3871 0

  • 1
    20
    Correct
    Wrong
  • 2
    35
    Correct
    Wrong
  • 3
    54
    Correct
    Wrong
  • 4
    40
    Correct
    Wrong
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Answer : 1. "20"
Explanation :

Answer: A) 20 Explanation: Numbers of students in section A = x ∴ Numbers of students in section B and C = (100 – x) ∴ x 70 + (100 – x) 87.5 = 84 100 => 70x + 87.5 100 – 87.5x = 8400 => 8750 – 17.5x = 8400 => 17.5x = 8750 – 8400 => x = 20.

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Answer : 4. "1250"
Explanation :

Answer: D) 1250 Explanation: Let initially 'X' ticket has been sold.So now in 2nd week 20% increases, so=> X x 120/100In 3rd week 16% increases, so=> X x (120/100) x (116/100)In 4th week 20% decrease, so=> X x (120/100) x (116/100) x (80/100) = 1392X = 1250.

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