CAT Practice Question and Answer

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? 6165 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 is the number of digits in 333? Given that log3 = 0.47712? 6156 0

  • 1
    12
    Correct
    Wrong
  • 2
    13
    Correct
    Wrong
  • 3
    14
    Correct
    Wrong
  • 4
    15
    Correct
    Wrong
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Answer : 2. "13"
Explanation :

Answer: B) 13 Explanation:  Let   Let x=333 = 333    Then, logx = 33 log3     = 27 x 0.47712 = 12.88224    Since the characteristic in the resultant value of log x is 12   ∴The number of digits in x is (12 + 1) = 13    Hence the required number of digits in 333is 13.

Q: Boy, man, uncle, fireman, grandfather are... 6142 0

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    Feminine titles
    Correct
    Wrong
  • 2
    Masculine titles
    Correct
    Wrong
  • 3
    Both Feminine and Masculine titles
    Correct
    Wrong
  • 4
    None of the above
    Correct
    Wrong
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Answer : 2. "Masculine titles"
Explanation :

Answer: B) Masculine titles Explanation: As they are the titles of male gender, they are called as Masculine titles.

Q: Vaunt : Flaunt :: Disparate : ? 6128 0

  • 1
    Similar
    Correct
    Wrong
  • 2
    Homogenous
    Correct
    Wrong
  • 3
    Contrast
    Correct
    Wrong
  • 4
    Alike
    Correct
    Wrong
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Answer : 3. "Contrast"
Explanation :

Answer: C) Contrast Explanation: Vaunt - Vaunt means to boast or to praise about something excessively. Flaunt - Flaunt also means to boast about something or to praise something.   Flaunt is the synonym of the word Vaunt.   Disparate - Disparate means essentially different in its kind or unlike or not able to be compared. Then the required word is the synonym of Disparate.   Here in the given options, Contrast is the only word which is similar in meaning of Disparate.   Hence, Vaunt : Flaunt :: Disparate : Contrast.

Q: A sum of Rs. 427 is to be divided among A, B and C in such a way that 3 times A’s share, 4 times B’s share and 7 times C’s share are all equal. The share of C is ? 6123 0

  • 1
    64
    Correct
    Wrong
  • 2
    76
    Correct
    Wrong
  • 3
    84
    Correct
    Wrong
  • 4
    98
    Correct
    Wrong
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Answer : 3. "84"
Explanation :

Answer: C) 84 Explanation: Given total sum = Rs. 427And given that 3 times A’s share, 4 times B’s share and 7 times C’s share are all equal.=> 3A = 4B = 7CBut given=> A + B + C = 427Now express A and B in terms of C i.e=> (7C/3) + (7C/4) + C = 427=> C = 84

Q: Find the unit digit of 4198 + 612345 + 34866 + 2411 + 1. 6081 0

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

Answer: C) 1 Explanation: Given that, 4198+612345+34866+2411+1 Now Power Cycle of 4 is 4, 6  6 is 6  8 is 8, 4, 2, 6 1 is 1   4198- 198 is even number , So the unit digit value is 6    612345 - It is always 6   34866-  66/4 the remainder is 2 , So the second value is 4   2411- 11 is odd number, So the unit digit value is 4   1 - It is always 1  Total = 21   Therefore, The unit digit is 1

Q: Convent : Cloister :: Eyrie : ? 6080 0

  • 1
    Show
    Correct
    Wrong
  • 2
    Open
    Correct
    Wrong
  • 3
    Hide
    Correct
    Wrong
  • 4
    Nest
    Correct
    Wrong
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Answer : 4. "Nest"
Explanation :

Answer: D) Nest Explanation: Here the first two words are synonyms. Similarly, Eyrie means a large nest. So, the synonym of Eyrie is nest.   Hence, Convent : Cloister :: Eyrie : Nest.

Q: Two persons start running simultaneously around a circular track of length 300 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions  ? 6076 0

  • 1
    27 sec
    Correct
    Wrong
  • 2
    31 sec
    Correct
    Wrong
  • 3
    23 sec
    Correct
    Wrong
  • 4
    29 sec
    Correct
    Wrong
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Answer : 1. "27 sec"
Explanation :

Answer: A) 27 sec Explanation: Time taken to meet for the first time anywhere on the track = length of the track / relative speed = 300 / (15 + 25)5/18 = 300x 18 / 40 x 5 = 27 seconds.

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