IIT JEE Practice Question and Answer

Q: Find the missing term in the following series ? 10000, 11000, 9900, 10890, ?, 10781 5601 0

  • 1
    10423
    Correct
    Wrong
  • 2
    9801
    Correct
    Wrong
  • 3
    10241
    Correct
    Wrong
  • 4
    9712
    Correct
    Wrong
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Answer : 2. "9801"
Explanation :

Answer: B) 9801 Explanation: Clearly, alternatively we add and subtract 10% of a term to obtain the next term of the series.Thus, 10000 + (10% of 10000)= 11000; 11000 - (10% of 11000) = 9900; 9900 + (10% of 9900)  = 10890; 10890 - (10% of 10890) = 9801. 9801 + (10% of 9801)  = 9801+980 = 10781.So, missing term = 10890- (10% of 10890)= 9801.

Q: Assertion( 1615 0

  • 1
    : Most of the Himalayan rivers are perennial.Reason(R) : They are fed by melting snow. A) R correctly explains A
    Correct
    Wrong
  • 2
    R is true but A is fale
    Correct
    Wrong
  • 3
    A is true but R is false
    Correct
    Wrong
  • 4
    A) R correctly explains A B) R is true but A is fale C) A is true but R is false D)
    Correct
    Wrong
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Answer : 1. ": Most of the Himalayan rivers are perennial.Reason(R) : They are fed by melting snow. A) R correctly explains A"
Explanation :

Answer: A) R correctly explains A Explanation: Most Himalayan rivers are perennial because they are fed by the melting snow throughout the year.Thus, both A and R are true & R correctly explains A.

Q: Which fraction comes next in the sequence 23, 13, 527, 781, ? 1953 0

  • 1
    1/27
    Correct
    Wrong
  • 2
    11/278
    Correct
    Wrong
  • 3
    9/48
    Correct
    Wrong
  • 4
    7/123
    Correct
    Wrong
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Answer : 1. "1/27"
Explanation :

Answer: A) 1/27 Explanation: Clearly, the numerators of the fractions in the given sequence follow the series of 2, 3, 5, 7,... and the denominator follows 3, 9, 27, 81, 243, ...Then, the next term in the given sequence is  935 = 9243 = 127 .

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Answer :
Explanation :

If heater D is used on the third day, heater B has to be used on the fourth day and A has to be used on the second day. But if A is used on second day, then either B or C has to be used on the first day. But if heater B is used on the first day, then according to the question, the requirement of having different heaters on the first day and fourth days would not be fulfilled. Hence the heater that would be used on the first day is C.

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Answer :
Explanation :

1. Answer (b) Santosh , Ujjwal and Varun must each receive at least three pieces, but Tarun must receive at least four pieces. The maximum number of pieces that any person may receive is six ( 6 + 3+ 3+3 = 15 ), and only Tarun may receive six pieces. Ujjwal and Varun each may receive as many as five pieces, while Santosh may receive only four pieces at maximum.At least one pear.   2. Answer (c) Varun may receive no more than five pieces and Tarun may receive no fewer than four pieces. As a result, if Varun receives more pieces than Tarun, then Varun must receive five pieces, and Tarun must receive four pieces. Thus, statement (a) must be true. Since Varun will receive five pieces, none of the other three friends will receive any apple, accordingly, each of the other three friends must receive at least one orange and at least one pear. Thus, statement (b) and (d) must be true.

Q: In the series given below , how many 8's are there each of which is exactly divisible by its immediate preceeding as well as succeeding numbers ?2 8 3 8 2 4 8 2 4 8 6 8 2 8 2 4 8 3 8 2 8 6 2001 0

  • 1
    five
    Correct
    Wrong
  • 2
    four
    Correct
    Wrong
  • 3
    two
    Correct
    Wrong
  • 4
    one
    Correct
    Wrong
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Answer : 3. "two"
Explanation :

Answer: C) two Explanation: Clearly, we may mark such sets of 3 numbers, in which the middle number is 8 and each of the two numbers on both sides of it is a factor of 8, as shown below : 2 8 3 8 2 4 8 2 4 8 6 8 2 8 2 4 8 3 8 2 8 6 So, there are two such 8's. Hence the answer is C.

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Answer : 1. "Both a and b follows"
Explanation :

Answer: A) Both a and b follows Explanation: The police ought to find out the lackenings in existing security arrangements and make up for these inadequacies to strengthen security and thus prevent criminal activities in the forthcoming festival. So, both a and b follow. Arresting the known criminals does not ensure safety, for a novice can also indulge in crime. So, c does not follow.

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Answer :
Explanation :

1. Answer (c) Each time we order 1, one apple is added to the basket but each time when 4 is ordered, one apple is removed from it. Required number of apples = number of 1's - number of 4's = 6 - 4 = 2 2. Answer (d) Each time we order 1, 2 or 3, one fruit is added to the basket but when ever we order 4, two fruits are removed from it. Required number = Number of 1's + Number of 2's + Number of 3's - 2 x (Number of 4's) = 6 + 6 + 7 - (2x4) = 19 - 8 = 11.

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