IIT JEE Practice Question and Answer

Q: Count the number of triangles and squares in the given figure. 3281 0

  • 1
    36 triangles, 7 Squares
    Correct
    Wrong
  • 2
    38 triangles, 9 Squares
    Correct
    Wrong
  • 3
    40 triangles, 7 Squares
    Correct
    Wrong
  • 4
    42 triangles, 9 Squares
    Correct
    Wrong
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Answer : 3. "40 triangles, 7 Squares"
Explanation :

Answer: C) 40 triangles, 7 Squares Explanation: The figure may be labelled as shown      Triangles :   The Simplest triangles are BGM, GHM, HAM, ABM, GIN, IJN, JHN, HGN, IKO, KLO, LJO, JIO, KDP, DEP, ELP, LKP, BCD and AFE i.e 18 in number   The triangles composed of two components each are ABG, BGH, GHA, HAB, HGI, GIJ, IJH, JHG, JIK, IKL, KLJ,LJI, LKD, KDE, DEL and ELK i.e 16 in number.   The triangles composed of four components each are BHI, GJK, ILD, AGJ, HIL and JKE i.e 6 in number.   Total number of triangles in the figure = 18 + 16 + 6 =40.   Squares :   The Squares composed of two components each are MGNH, NIOJ, and OKPL i.e 3 in number   The Squares composed of four components each are BGHA, GIJH, IKJL and KDEL i.e 4 in number   Total number of squares in the figure = 3 + 4 =7

Q: What is the probability of an impossible event? 3273 0

  • 1
    0
    Correct
    Wrong
  • 2
    -1
    Correct
    Wrong
  • 3
    0.1
    Correct
    Wrong
  • 4
    1
    Correct
    Wrong
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Answer : 1. "0"
Explanation :

Answer: A) 0 Explanation: The probability of an impossible event is 0. The event is known ahead of time to be not possible, therefore by definition in mathematics, the probability is defined to be 0 which means it can never happen.   The probability of a certain event is 1.

Q: How many 7 digit numbers can be formed using the digits 1, 2, 0, 2, 4, 2, 4? 3268 0

  • 1
    120
    Correct
    Wrong
  • 2
    360
    Correct
    Wrong
  • 3
    240
    Correct
    Wrong
  • 4
    424
    Correct
    Wrong
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Answer : 2. "360"
Explanation :

Answer: B) 360 Explanation: There are 7 digits 1, 2, 0, 2, 4, 2, 4 in which 2 occurs 3 times, 4 occurs 2 times.    Number of 7 digit numbers = 7!3!×2! = 420   But out of these 420 numbers, there are some numbers which begin with '0' and they are not 7-digit numbers. The number of such numbers beginning with '0'.   =6!3!×2! = 60   Hence the required number of 7 digits numbers = 420 - 60 = 360

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Answer : 4. "A"
Explanation :

Answer: D) A Explanation: For the input "A rolling stone gathers no moss", the steps followed are: Step 1: rolling A stone gathers no moss Step 2: rolling stone A gathers no moss Step 3: rolling stone gathers A no moss Step 4: rolling stone gathers no A moss   After 4 steps the fifth word is "A".

Q: A batsman scores 26 runs and increases his average from 14 to 15. Find the runs to be made if he wants top increasing the average to 19 in the same match ? 3265 0

  • 1
    74
    Correct
    Wrong
  • 2
    79
    Correct
    Wrong
  • 3
    72
    Correct
    Wrong
  • 4
    60
    Correct
    Wrong
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Answer : 1. "74"
Explanation :

Answer: A) 74 Explanation: Number of runs scored more to increse the ratio by 1 is 26 - 14 = 12To raise the average by one (from 14 to 15), he scored 12 more than the existing average.Therefore, to raise the average by five (from 14 to 19), he should score 12 x 5 = 60 more than the existing average. Thus he should score 14 + 60 = 74.

Q: What is the most important step in prioritizing goals? 3265 0

  • 1
    deciding what is most important
    Correct
    Wrong
  • 2
    having multiple tasks lined up for each goal
    Correct
    Wrong
  • 3
    determining categories for various goals
    Correct
    Wrong
  • 4
    writing a list of goals
    Correct
    Wrong
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Answer : 1. "deciding what is most important"
Explanation :

Answer: A) deciding what is most important Explanation: Always prioritize by what's most important to what is less important to us to reach our goals as soon as possible.

Q: Excretion is best described as the removal of 3262 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: The basic operations performed by a computer are 3261 0

  • 1
    Logical operation
    Correct
    Wrong
  • 2
    Storage and relative
    Correct
    Wrong
  • 3
    Arithmetic operation
    Correct
    Wrong
  • 4
    All the above
    Correct
    Wrong
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Answer : 4. "All the above"
Explanation :

Answer: D) All the above Explanation: The basic operations performed by a computer are Arithmetic operation, Logical operation and Storage and relative.

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