IIT JEE Practice Question and Answer

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  ? 4757 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: In a mens hostel, there were 95 students. To accommodate 30 more students the average is decreased by rupees 5. But total expenditure increased by Rs.500. Find the total expenditure of the hostel now ? 4749 0

  • 1
    Rs. 4680
    Correct
    Wrong
  • 2
    Rs. 4420
    Correct
    Wrong
  • 3
    Rs. 4960
    Correct
    Wrong
  • 4
    Rs. 5480
    Correct
    Wrong
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Answer : 1. "Rs. 4680"
Explanation :

Answer: A) Rs. 4680 Explanation: Let the expenditure on the 95 students be 'x' Then, 95x + 500 = 120(x – 5)95x + 500 = 120x - 600120x - 95x = 110025x = 1100=> x = 44 Therefore, total expenditure of the hostel becomes95 x 44 + 500 = 4680.

Q: Which best describes how air moves during convection? 4727 0

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    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: Thread is to String as Cask is to 4713 0

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    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: Artist is to painting as senator is to 4706 0

  • 1
    politician
    Correct
    Wrong
  • 2
    constituents
    Correct
    Wrong
  • 3
    attorney
    Correct
    Wrong
  • 4
    law
    Correct
    Wrong
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Answer : 4. "law"
Explanation :

Answer: D) law Explanation: As we know that an artist makes paintings, similarly, a senator makes laws.   Hence, Artist : Painting :: Senator : Law.

Q: इनमें से कौन एक साधारण मशीन नहीं है? 4702 1

  • 1
    कैंची की एक जोड़ी
    Correct
    Wrong
  • 2
    एक लीवर
    Correct
    Wrong
  • 3
    एक रैंप
    Correct
    Wrong
  • 4
    चरखी
    Correct
    Wrong
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Answer : 1. "कैंची की एक जोड़ी"
Explanation :

Answer: A) कैंची की एक जोड़ी व्याख्या: बल लगाने के लिए किसी भी बुनियादी यांत्रिक उपकरण को सरल मशीन कहा जाता है। 6 बुनियादी सरल मशीनें हैं; लीवर, पहिया और धुरी, झुका हुआ विमान, पच्चर, चरखी और पेंच। इनमें से कई सरल मशीनें एक दूसरे से संबंधित हैं। लेकिन, काम करने की दुनिया में प्रत्येक का एक विशिष्ट उद्देश्य होता है।

Q: Find the missing number in the given number series? 2676, 445, ?, 21,6, 2, 1 4686 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: 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 : 4666 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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