IIT JEE Practice Question and Answer

Q: The wealthiest citizens of ancient rome were 3073 0

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    patricians
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    Wrong
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    laborers
    Correct
    Wrong
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    farmers
    Correct
    Wrong
  • 4
    plebeians
    Correct
    Wrong
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Answer : 1. "patricians"
Explanation :

Answer: A) patricians Explanation:

Q: The age of Sohail, Afzal and Bilal are 17,16 and 12 respectively. If the age of Aslam also included the average of the ages is increased by 5. What is the age of Aslam? 3072 0

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    32
    Correct
    Wrong
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    33
    Correct
    Wrong
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    34
    Correct
    Wrong
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    35
    Correct
    Wrong
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Answer : 4. "35"
Explanation :

Answer: D) 35 Explanation: Given S = 17 yrs A = 16 yrs B = 12 yrs Average = 17 + 16 + 12/3 = 15 yrs Given if Aslam added to them, their average increases by 5 => Average of 4 members = 20 Let the age of Aslam be 'x' Then,  17 + 16 + 12 + x /4 = 20 => x = 80 - 45 => x = 35.    Hence, the age of Aslam is 35 yrs.

Q: The study of Heavenly bodies is called 3072 0

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    Astronomy
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    Wrong
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    Astrology
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    Astrophysics
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    Wrong
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    Astronautics
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Answer : 1. "Astronomy"
Explanation :

Answer: A) Astronomy Explanation: Astronomy is the study of planets and heavenly bodies. Historically, astronomy has focused on observations of heavenly bodies. It is a close cousin to astrophysics. Succinctly put, astrophysics involves the study of the physics of astronomy and concentrates on the behavior, properties and motion of objects out there.

Q: A Woman’s downstream swimming rate is thrice of her upstream swimming rate. If she covers 12 km upstream in 2.5 hours, what distance she will cover in 5 hours downstream? 3060 0

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    72 km
    Correct
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    36 km
    Correct
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    56 km
    Correct
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    42 km
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Answer : 1. "72 km"
Explanation :

Answer: A) 72 km Explanation: Rate of her upstream = 12/2.5 = 4.8 km/hr Then, ATQ Rate of downstream = 4.8 x 3 = 14.4 km/hr   Hence, the distance she covers downstream in 5 hrs = 14.4 x 5 = 72 kms.

Q: K can build a wall in 30 days. L can demolish that wall in 60 days. If K and L work on alternate days, when will the wall be completed ? 3058 1

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    120 days
    Correct
    Wrong
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    119 days
    Correct
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    118 days
    Correct
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    117 days
    Correct
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Answer : 4. "117 days"
Explanation :

Answer: D) 117 days Explanation: K's work in a day(1st day) = 1/30L's work in a day(2nd day)= -1/60(demolishing)hence in 2 days, combined work= 1/30 - 1/60 =1/60since both works alternatively, K will work in odd days and L will work in even days.1/60 unit work is done in 2 days58/60 unit work will be done in 2 x 58 days = 116 daysRemaining work = 1-58/60 = 1/30Next day, it will be K's turn and K will finish the remaining 1/30 work.hence total days = 116 + 1 = 117.

Q: Divide Rs.118000 among three persons A, B and C such that the ratio of the shares of A and B is 3:4 and that of B:C is 5:6 ? 3056 0

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    A = 48000 B = 40000 C = 30000
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    A = 30000 B = 40000 C = 48000
    Correct
    Wrong
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    A = 30000 B = 48000 C = 40000
    Correct
    Wrong
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    A = 40000 B = 48000 C = 30000
    Correct
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Answer : 2. "A = 30000 B = 40000 C = 48000"
Explanation :

Answer: B) A = 30000 B = 40000 C = 48000 Explanation: Compound ratio of A:B:CA:B = 3:4B:C = 5:6----------A:B:C = 15:20:24 We can divide Rs.118000 in this ratio. Share of A = 15/59 x 118000 = 30000 Share of B = 20/59 x 118000 = 40000 Share of C = 24/59 x 118000 = 48000

Q: Re-arrange the following sentences into a meaningful paragraph.   ( 3053 0

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    comes into effect from today. The bank's savings account rate was 3.5 per cent during March 2003 to May 2011 for all savings bank account customers (
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    The bank's decision comes two days ahead of RBI's monetary policy meet and is likely to trigger (
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    with deposits of above Rs 1 crore, it said in a statement. The two-tier savings bank account interest rate (
    Correct
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    to 3.5 per cent, lowest in six years, a decision that will impact 90 per cent of its customers (E) The country's largest lender however will continue to pay 4 per cent interest on savings bank accounts (F) SBI today cut interest rate on savings bank account deposits up to Rs 1 crore by 0.5 per cent (G) rate war among peers. SBI's savings bank account base is of around Rs 9 lakh crore.
    Correct
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Answer : 4. "to 3.5 per cent, lowest in six years, a decision that will impact 90 per cent of its customers (E) The country's largest lender however will continue to pay 4 per cent interest on savings bank accounts (F) SBI today cut interest rate on savings bank account deposits up to Rs 1 crore by 0.5 per cent (G) rate war among peers. SBI's savings bank account base is of around Rs 9 lakh crore."
Explanation :

Answer: D) FDBGECA Explanation:

Q: Equal quantities of three mixtures of milk and water are mixed in the ratio 1:2, 2:3 and 3:4. The ratio of water and milk in the mixture is ? 3052 0

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    193 : 122
    Correct
    Wrong
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    97 : 102
    Correct
    Wrong
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    115 : 201
    Correct
    Wrong
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    147 : 185
    Correct
    Wrong
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Answer : 1. "193 : 122"
Explanation :

Answer: A) 193 : 122 Explanation: Given the three mixtures ratio as (1:2),(2:3),(3:4) (1+2),(2+3),(3+4) Total content = 3,5,7   Given equal quantities of the three mixtures are mixed, then LCM of 3, 5, 7 = 105 105/3 = 35 , 105/5 = 21 , 105/7 = 15   Now, the individual equal quantity ratios are (35x1, 35x2), (21x2, 21x3), (15x3, 15x4)  i.e (35,70), (42,63), (45,60)   So overall mixture ratio of milk and water is 35+42+45 : 70+63+60 122:193   But in the question asked the ratio of water to milk = 193 : 122

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