IIT JEE Practice Question and Answer

Q: Compound interest earned on a sum for the second and the third years are Rs.1200 and Rs.1440 respectively. Find the rate of interest ? 2773 0

  • 1
    20% p.a
    Correct
    Wrong
  • 2
    15% p.a
    Correct
    Wrong
  • 3
    18% p.a
    Correct
    Wrong
  • 4
    24% p.a
    Correct
    Wrong
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Answer : 1. "20% p.a"
Explanation :

Answer: A) 20% p.a Explanation: Rs.1440 - 1200 = Rs.240 is the interest on Rs.1200 for one year. Rate of interest = (100 x 240) / (1200) = 20% p.a

Q: The ratio of two positive numbers is 3 : 5 and the average of the number is 48. What is the product of numbers? 2768 1

  • 1
    3365
    Correct
    Wrong
  • 2
    2160
    Correct
    Wrong
  • 3
    1854
    Correct
    Wrong
  • 4
    1632
    Correct
    Wrong
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Answer : 2. "2160"
Explanation :

Answer: B) 2160 Explanation: Let the number be 3p and 5p ATQ, 8p = 2 x 48 p = 96/8 p = 12   The numbers are 36 and 60.   Hence, the product of the numbers = 36 x 60 = 2160.

Q: Which statement about greek sculpture is false? 2764 0

  • 1
    The Greeks admired the strength and precision of athletes and wanted to portray athletic figures.
    Correct
    Wrong
  • 2
    The three main principles of Greek aesthetics are proportion, movement, and rhythm.
    Correct
    Wrong
  • 3
    Greeks sculptures are typically stiffly posed, highly styled figures.
    Correct
    Wrong
  • 4
    All the above
    Correct
    Wrong
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Answer : 3. "Greeks sculptures are typically stiffly posed, highly styled figures."
Explanation :

Answer: C) Greeks sculptures are typically stiffly posed, highly styled figures. Explanation: Greek Sculpture are typically stiff, posed & highly styled figures is the false answer.

Q: Rs. 7444 is divided among 5 ladies, 3 gents and 3 girls. The ratio of share of a lady, a gents and a girl is 7: 4: 3. What is the share of gents ? 2764 0

  • 1
    Rs. 1595.14
    Correct
    Wrong
  • 2
    Rs. 1793.4
    Correct
    Wrong
  • 3
    Rs. 595.14
    Correct
    Wrong
  • 4
    Rs. 1551.5
    Correct
    Wrong
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Answer : 1. "Rs. 1595.14"
Explanation :

Answer: A) Rs. 1595.14 Explanation: Ratio of the share of a lady, a gents and a girl is 7 : 4 : 3No of ladies, gents and girls are 5, 3, 3Thus effective ratio of ladies, gents and girls is 7 x 5 : 4 x 3 : 3 x 3 = 35 : 12 : 9so part of gents = (12/56) x 7444 = Rs. 1595.142so part of 1 gents = 1595.142/3 = Rs. 531.71.

Q: Excretion is best described as the removal of 2759 0

  • 1
    Undigested material from the digestive tract
    Correct
    Wrong
  • 2
    Metabolic wastes from a cell
    Correct
    Wrong
  • 3
    Toxic wastes by the process of cyclosis
    Correct
    Wrong
  • 4
    Water molecules from dipeptide hydrolysis
    Correct
    Wrong
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Answer : 2. "Metabolic wastes from a cell"
Explanation :

Answer: B) Metabolic wastes from a cell Explanation: Excretion is best described as the removal of Metabolic wastes from a cell.

Q: _ tu _ rt _ s _ _ usrtu _ 2759 0

  • 1
    rsutrr
    Correct
    Wrong
  • 2
    rsurtr
    Correct
    Wrong
  • 3
    rsurts
    Correct
    Wrong
  • 4
    rtusru
    Correct
    Wrong
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Answer : 3. "rsurts"
Explanation :

Answer: C) rsurts Explanation: The series rtus/rtus/rtus/rtus. Thus, the pattern 'rtus' is repeated.

Q: P and Q can complete a job in 24 days working together. P alone can complete it in 32 days. Both of them worked together for 8 days and then P left. The number of days Q will take to complete the remaining work is ? 2751 0

  • 1
    56 days
    Correct
    Wrong
  • 2
    54 days
    Correct
    Wrong
  • 3
    60 days
    Correct
    Wrong
  • 4
    64 days
    Correct
    Wrong
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Answer : 4. "64 days"
Explanation :

Answer: D) 64 days Explanation: (P+Q)'s 1 day work = 1/24 P's 1 day work = 1/32 => Q's 1 day work = 1/24 - 1/32 = 1/96 Work done by (P+Q) in 8 days = 8/24 = 1/3 Remainining work = 1 - 1/3 = 2/3 Time taken by Q to complete the remaining work = 2/3 x 96 = 64 days.

Q: A train moving at 2/3 rd of its normal speed reaches its destination 20 minutes late. Find the normal time taken ? 2750 0

  • 1
    4/3 hrs
    Correct
    Wrong
  • 2
    2/3 hrs
    Correct
    Wrong
  • 3
    3/2 hrs
    Correct
    Wrong
  • 4
    1/4 hrs
    Correct
    Wrong
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Answer : 2. "2/3 hrs"
Explanation :

Answer: B) 2/3 hrs Explanation: Let the original speed and time is S and Tthen distance = S x TNow the speed changes to 2/3S and T is T+20As the distance is sameS x T = 2/3Sx(T+20)solving this we get t = 40 minutes =40/60 = 2/3 hour

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