IIT JEE Practice Question and Answer

Q: How many such pairs of digits are there in the number 421579368 each of which has as many digits between them in the number as when they are arranged in ascending order? 6266 0

  • 1
    None
    Correct
    Wrong
  • 2
    One
    Correct
    Wrong
  • 3
    Two
    Correct
    Wrong
  • 4
    Three
    Correct
    Wrong
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Answer : 4. "Three"
Explanation :

Answer: D) Three Explanation: Given Number:     4  2  1  5  7  9  3  6  8   Ascending order:  1  2  3  4  5  6  7  8  9   Hence the required pairs are  12, 49, 16

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 1397 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.

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 1652 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: 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? 5602 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: 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? 2469 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: 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? 1984 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 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? 2078 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

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