IIT JEE Practice Question and Answer

Q: What is the missing number in 5, 14, 42, 107, 233, ? 3472 0

  • 1
    316
    Correct
    Wrong
  • 2
    384
    Correct
    Wrong
  • 3
    450
    Correct
    Wrong
  • 4
    479
    Correct
    Wrong
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Answer : 3. "450"
Explanation :

Answer: C) 450 Explanation: Given Series is 5, 14, 42, 107, 233, _? 5, 14, 42, 107, 233, _? Differences is 9, 28, 65, 126 9 = 2^3 + 1 28 = 3^3 + 1 65 = 4^3 + 1 126 = 5^3 + 1 Now, next difference must be 6^3 + 1 = 217 Hence, next number in the given series = 233 + 217 = 450.

Q: 8 couples (husband and wife) attend a dance show "Nach Baliye' in a popular TV channel ; A lucky draw in which 4 persons picked up for a prize is held, then the probability that there is atleast one couple will be selected is : 3468 0

  • 1
    8/39
    Correct
    Wrong
  • 2
    15/39
    Correct
    Wrong
  • 3
    12/13
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 2. "15/39"
Explanation :

Answer: B) 15/39 Explanation: P( selecting atleast one couple) = 1 - P(selecting none of the couples for the prize)     = 1-16C1× 14C1×12C1×10C116C4=1539

Q: Is B2+ Paramagnetic or Diamagnetic? 3467 0

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Answer :
Explanation :

B2+ is a Paramagnetic.  The filled orbitals are σ(1s)22, σ∗(1s)22, σ(2s)22, σ∗(2s)22. The half-filled orbitals are π(2pxx) and π(2pyy). Since it posses 2 unpaired electrons, it is Paramagnetic in nature.

Q: Happiness is to 517768399 as senipah is to 3464 0

  • 1
    9836715
    Correct
    Wrong
  • 2
    9386615
    Correct
    Wrong
  • 3
    9386715
    Correct
    Wrong
  • 4
    9386517
    Correct
    Wrong
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Answer : 3. "9386715"
Explanation :

Answer: C) 9386715 Explanation: If each consecutive letter in "happiness" relates to the consecutive numbers in 517768399, then H=5, A=1, P=7, I=6, N=8, E=3 and S=9. Using the numbers that relate to the letters in 'senipah', you will arrive at SENIPAH = 9386715.   Hence, Happiness is to 517768399 as senipah is to 9386715.

Q: Paw : Cat :: Hoof : ? 3458 0

  • 1
    Donkey
    Correct
    Wrong
  • 2
    Lion
    Correct
    Wrong
  • 3
    Elephant
    Correct
    Wrong
  • 4
    Horse
    Correct
    Wrong
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Answer : 4. "Horse"
Explanation :

Answer: D) Horse Explanation: The cat's foot is called a paw. The horse's foot is called a hoof.

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Answer : 4. "2834"
Explanation :

Answer: D) 2834 Explanation: Let the total number of votes polled in the election be 100k.Number of valid votes = 100k - 20% (100k) = 80kLet the number of votes polled in favour of K and L be a and b respectively.a - b = 15% (100k) => a = b + 15k=> a + b = b + 15k + bNow, 2b + 15k = 80k and hence b = 32.5kIt is given that 100k = 872032.5k = 32.5k/100k x 8720 = 2834 The number of valid votes polled in favour of L is 2834.

Q: Select the correct statement about cellular respiration? 3454 0

  • 1
    All the carbon atoms in glucose ultimately incorporated during cellular respiration into carbon dioxide molecule
    Correct
    Wrong
  • 2
    All the carbon atoms in glucose ultimately incorporated during cellular respiration into NADH molecule
    Correct
    Wrong
  • 3
    All the carbon atoms in glucose ultimately incorporated during cellular respiration into ATP molecule
    Correct
    Wrong
  • 4
    All the carbon atoms in glucose ultimately incorporated during cellular respiration into water molecule
    Correct
    Wrong
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Answer : 1. "All the carbon atoms in glucose ultimately incorporated during cellular respiration into carbon dioxide molecule"
Explanation :

Answer: A) All the carbon atoms in glucose ultimately incorporated during cellular respiration into carbon dioxide molecule Explanation: All the carbon atoms in glucose ultimately incorporated during cellular respiration into carbon dioxide molecules.

Q: A merchant buys two articles for Rs.600. He sells one of them at a profit of 22% and the other at a loss of 8% and makes no profit or loss in the end. What is the selling price of the article that he sold at a loss ? 3453 0

  • 1
    Rs. 404.80
    Correct
    Wrong
  • 2
    Rs. 536.80
    Correct
    Wrong
  • 3
    Rs.440
    Correct
    Wrong
  • 4
    Rs. 160
    Correct
    Wrong
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Answer : 1. "Rs. 404.80"
Explanation :

Answer: A) Rs. 404.80 Explanation: Let C1 be the cost price of the first article and C2 be the cost price of the second article.Let the first article be sold at a profit of 22%, while the second one be sold at a loss of 8%. We know, C1 + C2 = 600.The first article was sold at a profit of 22%. Therefore, the selling price of the first article = C1 + (22/100)C1 = 1.22C1The second article was sold at a loss of 8%. Therefore, the selling price of the second article = C2 - (8/100)C2 = 0.92C2. The total selling price of the first and second article = 1.22C1 + 0.92C2. As the merchant did not make any profit or loss in the entire transaction, his combined selling price of article 1 and 2 is the same as the cost price of article 1 and 2. Therefore, 1.22C1 + 0.92C2 = C1+C2 = 600As C1 + C2 = 600, C2 = 600 - C1. Substituting this in 1.22C1 + 0.92C2 = 600, we get1.22C1 + 0.92(600 - C1) = 600or 1.22C1 - 0.92C1 = 600 - 0.92*600or 0.3C1 = 0.08*600 = 48or C1 = 48/(0.3) = 160.If C1 = 160, then C2 = 600 - 160 = 440.The item that is sold at loss is article 2. The selling price of article 2 = 0.92*C2 = 0.92*440 = 404.80.

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