IIT JEE Practice Question and Answer

Q: The Budget proposals also seek to provide relief to salaried tax payers by allowing a standard deduction of what amount in place of the present exemption allowed for transport allowance and reimbursement of miscellaneous medical expenses? 1661 0

  • 1
    Rs. 20,000
    Correct
    Wrong
  • 2
    Rs. 40,000
    Correct
    Wrong
  • 3
    Rs. 50,000
    Correct
    Wrong
  • 4
    Rs. 80,000
    Correct
    Wrong
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Answer : 2. "Rs. 40,000"
Explanation :

Answer: B) Rs. 40,000 Explanation: The standard deduction of Rs. 40,000 is seek to provide relief to salaried tax payers in the Budget proposals in place of the present exemption allowed for transport allowance and reimbursement of miscellaneous medical expenses.

Q: 9 girls working 7 hours a day can complete a piece of work in 15 day. In how many days can 6 girls working for 9 hours a day, complete the same piece of work? 1661 0

  • 1
    35/4 days
    Correct
    Wrong
  • 2
    17.5 days
    Correct
    Wrong
  • 3
    19 3/4 days
    Correct
    Wrong
  • 4
    37/3 days
    Correct
    Wrong
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Answer : 2. "17.5 days"
Explanation :

Answer: B) 17.5 days Explanation: Let the number of days be 'p'  As the work is same, we know that M1 x D1 x H1 = M2 x D2 x H2 Where M = Men, D = Days, H = Hours per day  Here M1 = 9, D1 = 15, H1 = 7  M2 = 6, D2 = p, H2 = 9  => 9 x 15 x 7 = 6 x p x 9  => p = 35/2 = 17.5 days.

Q: A polygon has 44 diagonals, then the number of its sides are ? 1661 0

  • 1
    13
    Correct
    Wrong
  • 2
    9
    Correct
    Wrong
  • 3
    11
    Correct
    Wrong
  • 4
    7
    Correct
    Wrong
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Answer : 3. "11"
Explanation :

Answer: C) 11 Explanation: Let the number of sides be n.  The number of diagonals is given by nC2 - n   Therefore, nC2 - n = 44, n>0  nC2 - n = 44 n2 - 3n - 88 = 0  n2 -11n + 8n - 88 = 0   n(n - 11) + 8(n - 11) = 0  n = -8 or n = 11.   As n>0, n will not be -8. Therefore, n=11.

Q: A man reduces his travelling time by a fraction of 2/5, as a result the distance covered by the man is increased by 20%, find the percentage increase in the speed of the man ? 1660 0

  • 1
    77%
    Correct
    Wrong
  • 2
    88%
    Correct
    Wrong
  • 3
    100%
    Correct
    Wrong
  • 4
    99%
    Correct
    Wrong
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Answer : 3. "100%"
Explanation :

Answer: C) 100% Explanation:

Q: The first passenger train in India ran between 1660 0

  • 1
    Kalyan and Pune
    Correct
    Wrong
  • 2
    Bombay and Thane
    Correct
    Wrong
  • 3
    Howrah and Delhi
    Correct
    Wrong
  • 4
    New Delhi and Madras
    Correct
    Wrong
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Answer : 2. "Bombay and Thane"
Explanation :

Answer: B) Bombay and Thane Explanation: India's first passenger train run took place from Mumbai to Thane for around 34 kms on 16th April in the year 1853.  That train was hauled by three steam locomotives : Sahib, Sindh and Sultan. That train had 14 carriages, carrying around 400 passengers.

Q: What value will come in place of question mark (?) in the number - series given below  ?  4, 30, ?, 1440, 7195, 71940 1659 0

  • 1
    145
    Correct
    Wrong
  • 2
    545
    Correct
    Wrong
  • 3
    650
    Correct
    Wrong
  • 4
    999
    Correct
    Wrong
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Answer : 1. "145"
Explanation :

Answer: A) 145 Explanation: 4       30       ?     1440       7195      71940   Here the given series follows a pattern of   4   4 x 10 - 10 = 30   30 x 5 - 5  = 145   145 x 10 - 10 = 1440   1440 x 5 - 5 = 7195   7195 x 10 - 10 = 71940   Hence, the missing number is 145

Q: Is a mushroom an autotroph? 1659 0

  • 1
    TRUE
    Correct
    Wrong
  • 2
    FALSE
    Correct
    Wrong
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Answer : 2. "FALSE"
Explanation :

Answer: B) FALSE Explanation: Mushrooms are heterotrophs. They are not plants or autotrophs.   Every living thing that exists need energy in order to live. This energy ultimately comes from the sun, and only plants, or autotrophs, can directly use this energy to make food. Those organisms that cannot harness the sun's energy are known as heterotrophs.   Mushrooms belong to kingdom Fungi and are heterotrophs because they decompose and consume nutrients from the soil. They are not green so they cannot photosynthesize For this reason, mushrooms and all other fungi are heterotrophs.

Q: Arun’s weight is 140% of Akhil’s weight. Nani’s weight is 90% of Shreyon’s weight. Shreyon’s weight is twice as much as Akhil’s. What percentage of Arun’s weight is Nani’s weight? 1659 0

  • 1
    76%
    Correct
    Wrong
  • 2
    77%
    Correct
    Wrong
  • 3
    78%
    Correct
    Wrong
  • 4
    79%
    Correct
    Wrong
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Answer : 3. "78%"
Explanation :

Answer: C) 78% Explanation: Let Akhil's weight = p kg => Shreyon's weight = 2p kg Nani's weight = 0.9 x 2p = 1.8p kg => Arun's weight = 1.4p kg Required percentage = 1.4p1.8p x 100 = 77.8% ~= 78%

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