IIT JEE Practice Question and Answer

Q: Is water a Pure substance? 859 0

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

Answer: A) TRUE Explanation: True, Water is a Pure substance and not a mixture.   We know that, A mixture is when two or more substances combine physically together. You can find that the mixture retains the properties of the original components. In water, two hydrogen atoms combine with one oxygen atom chemically, forming a new substance that has properties different from hydrogen alone or oxygen alone.   Therefore, water is not a mixture; it is a compound and it is pure.

Q: 3/8 as a decimal 859 0

  • 1
    1.375
    Correct
    Wrong
  • 2
    2.375
    Correct
    Wrong
  • 3
    0.375
    Correct
    Wrong
  • 4
    3.75
    Correct
    Wrong
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Answer : 3. "0.375"
Explanation :

Answer: C) 0.375 Explanation: Expressing 3/8 as a decimal fraction: We can convert 3/8 into a decimal fraction by just dividing 3 by 8 or making 3 into 8 parts. Then, it is 3/8 = 0.375 as a decimal fraction.   Other Method:: 3/8 as a Decimal : In this we should convert the denominator into 10, 100, 1000, 10000, 100000,... to make it simple. Now to make 8 into 1000, we multiply numerator and denominator with 125   => (3 x 125)/(8 x 125) = 375/1000 = 0.375.

Q: There are 3 sections with 5 questions each. If four questions are selected from each section, the chance of getting different questions is ? 857 0

  • 1
    1000
    Correct
    Wrong
  • 2
    625
    Correct
    Wrong
  • 3
    525
    Correct
    Wrong
  • 4
    125
    Correct
    Wrong
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Answer : 4. "125"
Explanation :

Answer: D) 125 Explanation: Methods for selecting 4 questions out of 5 in the first section = 5 x 4 x 3 x 2 x 1/4 x 3 x 2 x 1 = 5. Similarly for other 2 sections also i.e 5 and 5 So total methods = 5 x 5 x 5 = 125.

Q: A can complete a piece of work in 12 days and B is 60% more efficient than A. In how many days B will complete the same work  ? 855 0

  • 1
    8.7 hrs
    Correct
    Wrong
  • 2
    5.2 hrs
    Correct
    Wrong
  • 3
    5 hrs
    Correct
    Wrong
  • 4
    7.5 hrs
    Correct
    Wrong
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Answer : 4. "7.5 hrs"
Explanation :

Answer: D) 7.5 hrs Explanation: Ratio of times taken by A and B = 160 : 100A can do the work in 12 daysLet B can do the work in "D" days=> 160:100 = 12 : D=> D = 12 x 100/160 = 7.5 hrs

Q: Find the area of the square whose side is equal to the diagonal of a rectangle of length 3 cm and breadth 4 cm. 855 0

  • 1
    25 sq.cm
    Correct
    Wrong
  • 2
    16 sq.cm
    Correct
    Wrong
  • 3
    9 sq.cm
    Correct
    Wrong
  • 4
    4 sq.cm
    Correct
    Wrong
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Answer : 1. "25 sq.cm"
Explanation :

Answer: A) 25 sq.cm Explanation: Given length of the rectangle = 3 cm Breadth of the rectangle = 4 cm Then, the diagonal of the rectangle D = 32 + 42 = 25 = 5 Then, it implies side of square = 5 cm We know that Area of square = S x S = 5 x 5 = 25 sq.cm.

Q: Indians who have been featured on Forbe's list of the 100 Greatest Living Business Minds ? 851 0

  • 1
    Ratan Tata
    Correct
    Wrong
  • 2
    Lakshmi Mittal
    Correct
    Wrong
  • 3
    Vinod Khosla
    Correct
    Wrong
  • 4
    All of the above
    Correct
    Wrong
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Answer : 4. "All of the above"
Explanation :

Answer: D) All of the above Explanation: Three Indians – Ratan Tata, Lakshmi Mittal and Vinod Khosla have been featured on Forbe's list of the 100 Greatest Living Business Minds.

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Answer : 3. "Any two of (1, 2 & 3)"
Explanation :

Answer: C) Any two of (1, 2 & 3) Explanation: Using Both 1 & 2 statements we get the rate of interest as in (1) we have given principle amount and in (2) compound interest for 2 years. By this data we get the rate%. Using Both 1 & 3 statements we can get the rate% as we have principle amount & difference between compound interest and simple interest in 2 years. Using Both 2 & 3 statements we get compound interest & simple interest by which we get principle amount. So that we can calculate %rate. Hence by using any two of the three statements(1,2&3) we get rate of interest.

Q: 19 friends went to a restaurant for a combined weekend dinner party. 13 of them spent Rs. 79 each on their dinner and the rest spent Rs. 4 more than the average expenditure of all the 19. What was the total money spent by them? 848 0

  • 1
    Rs. 1398.96
    Correct
    Wrong
  • 2
    Rs. 1457.09
    Correct
    Wrong
  • 3
    Rs. 1662.35
    Correct
    Wrong
  • 4
    Rs. 1536.07
    Correct
    Wrong
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Answer : 4. "Rs. 1536.07"
Explanation :

Answer: D) Rs. 1536.07 Explanation: Let average expenditure was Rs. R 13 x 79 + 6x(R + 4) = 19R => R = Rs. 80.84 Total money = 19 x 80.84 = Rs. 1536.07.

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