IIT JEE Practice Question and Answer

Q: Which mirror is used as rear view mirror in vehicles? 6909 0

  • 1
    Concave
    Correct
    Wrong
  • 2
    Plane
    Correct
    Wrong
  • 3
    Convex
    Correct
    Wrong
  • 4
    Any of the above
    Correct
    Wrong
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Answer : 3. "Convex"
Explanation :

Answer: C) Convex Explanation: Convex mirror is used as rear view mirror in vehicles. Because the image is smaller, more image can fit onto the mirror, so a convex mirror provides for a larger field of view than a plane mirror. This is why they are useful.

Q: What was the day of the week on 17th June, 1998 ? 4974 7

  • 1
    Monday
    Correct
    Wrong
  • 2
    Tuesday
    Correct
    Wrong
  • 3
    Wednesday
    Correct
    Wrong
  • 4
    Friday
    Correct
    Wrong
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Answer : 3. "Wednesday"
Explanation :

Answer: C) Wednesday Explanation: 17th June, 1998 = (1997 years + Period from 1.1.1998 to 17.6.1998)Odd days in 1600 years = 0Odd days in 300 years = 197 years has 24 leap years + 73 ordinary years.Number of odd days in 97 years ( 24 x 2 + 73) = 121 = 2 odd days.Jan. Feb. March. April. May. June.(31 + 28 + 31 + 30 + 31 + 17) = 168 days168 days = 24 weeks = 0 odd day.Total number of odd days = (0 + 1 + 2 + 0) = 3.Given day is Wednesday.

Q: In a class of 180, where girls are twice the number of boys, Rupesh[a boy]  ranked 34th from the top. If there are 18 girls ahead of Rupesh, how many boys are after him in rank? 2024 0

  • 1
    45
    Correct
    Wrong
  • 2
    44
    Correct
    Wrong
  • 3
    60
    Correct
    Wrong
  • 4
    can't be determined
    Correct
    Wrong
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Answer : 2. "44"
Explanation :

Answer: B) 44 Explanation: No. of boys up to the 34th rank = 34-18 = 16    Total no of boys = 180x1/2+1 = 60    number of boys after the rank of Rupesh = 60 - 16 = 44

Q: In a class of 50 students M is eighth from top. H is 20th from bottom. How many students are there between M and H? 1943 0

  • 1
    22
    Correct
    Wrong
  • 2
    23
    Correct
    Wrong
  • 3
    24
    Correct
    Wrong
  • 4
    can't be determined
    Correct
    Wrong
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Answer : 1. "22"
Explanation :

Answer: A) 22 Explanation: M is 8th from the top.   H is (50 - 20 + 1 =) 31 st from the top.   Number of students between M and H = (31 - 8- 1=)22

Q: In a row of thirty boys, R is fourth from the right end and W is tenth from the left end . How many boys are there between R and W? 2430 0

  • 1
    15
    Correct
    Wrong
  • 2
    16
    Correct
    Wrong
  • 3
    17
    Correct
    Wrong
  • 4
    can't be determined
    Correct
    Wrong
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Answer : 2. "16"
Explanation :

Answer: B) 16 Explanation: W = 10th from the left   R = 4th from the right = (30 - 4 + 1= ) 27th from left    No of boys between R and W = (27 - 10) - 1 = 16

Q: Three persons A, B and C are standing in a queue. There are five persons between A and B and eight persons between B and C. If there be three persons ahead of C and 21 persons behind A, what could be the minimum number of persons in the queue? 5536 0

  • 1
    41
    Correct
    Wrong
  • 2
    40
    Correct
    Wrong
  • 3
    28
    Correct
    Wrong
  • 4
    27
    Correct
    Wrong
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Answer : 3. "28"
Explanation :

Answer: C) 28 Explanation: Three persons A, B, C can be arranged in a queue in six different ways, ie ABC, CBA, BAC, CAB, BCA, ACB. But since there are only 3 persons ahead of C, so C should be in front of the queue. Thus, there are only two possible arrangements, ie CBA and CAB.   We may consider the two cases as under: Case I:  ←3C↔8B↔5A→21   Clearly, number of persons in the queue = (3+1+8+1+5+1+21=) 40   Case II:  ←3C A↔5B   Number of persons between A and C                     = (8 - 6) = 2    ∵[C↔8B A→21B]   Clearly number of persons in the queue = (3+1+2+1+21) = 28   Now, 28 < 40. So, 28 is the minimum number of persons in the queue.

Q: What should come next in the following number series? 9 8 7 6 5 4 3 2 1 8 7 6 5 4 3 2 1 7 6 5 4 3 2 1 1613 0

  • 1
    9
    Correct
    Wrong
  • 2
    8
    Correct
    Wrong
  • 3
    7
    Correct
    Wrong
  • 4
    6
    Correct
    Wrong
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Answer : 4. "6"
Explanation :

Answer: D) 6 Explanation: Here the series is:   987654321, 87654321, 7654321, 65...

Q: How many even numbers are there in the following sequence of numbers which are immediately followed by an odd number as well as immediately preceded by an even number? 8 5 8 6 7 6 8 9 3 2 7 5 3 4 2 2 3 5 5 2 2 8 1 1 9 3 1 7 5 1 1374 0

  • 1
    2
    Correct
    Wrong
  • 2
    3
    Correct
    Wrong
  • 3
    4
    Correct
    Wrong
  • 4
    5
    Correct
    Wrong
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Answer : 3. "4"
Explanation :

Answer: C) 4 Explanation: We have to find out even number - even number - odd number sequence.  8 5 8 6 7 6 8 9 3 2 7 5 3 4 2 2 3 5 5 2 2 8 1 1 9 3 1 7 5 1  There are four such such even numbers: 6,8,2 and 8.

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