CAT Practice Question and Answer

Q: If a Siren sounds for every 5 seconds, how many times will it sound in ¾ of an hour? 2680 0

  • 1
    541 times
    Correct
    Wrong
  • 2
    540 times
    Correct
    Wrong
  • 3
    450 times
    Correct
    Wrong
  • 4
    275 times
    Correct
    Wrong
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Answer : 1. "541 times"
Explanation :

Answer: A) 541 times Explanation: There are 60 minutes in an hour. In ¾ of an hour there are (60 × ¾) minutes = 45 minutes. In ¾ of an hour there are (60 × 45) seconds = 2700 seconds. Siren sounds for every 5 seconds. In 2700 seconds = 2700/5 = 540 times. The count start after the first sound, the Siren will sound 541 times in ¾ of an hour.

Q: How many remainders are possible if 16n is divided by 9 for any positive integral value of n ? 2680 0

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

Answer: C) 3 Explanation: When 16nis divided by 9, we have  1619, remainder = 7   1629, remainder = 4  1639, remainder = 1  1649, remainder = 7  1659, remainder = 4  1669, remainder = 1  So, we have cyclicity of 3 factors i.e 7,4,1.  Hence only 3 remainders are possible.

Q: That which cannot be corrected 2679 0

  • 1
    Incorrigible
    Correct
    Wrong
  • 2
    Illegible
    Correct
    Wrong
  • 3
    Illegal
    Correct
    Wrong
  • 4
    Indelible
    Correct
    Wrong
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Answer : 1. "Incorrigible"
Explanation :

Answer: A) Incorrigible Explanation: The One-word substitute for That which cannot be corrected is Incorrigible.

Q: If log72 = m, then log4928 is equal to ? 2678 0

  • 1
    1/(1+2m)
    Correct
    Wrong
  • 2
    (1+2m)/2
    Correct
    Wrong
  • 3
    2m/(2m+1)
    Correct
    Wrong
  • 4
    (2m+1)/2m
    Correct
    Wrong
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Answer : 2. "(1+2m)/2"
Explanation :

Answer: B) (1+2m)/2 Explanation: log4928 = 12log77×4   = 12+122log72= 12+log72= 12 + m= 1+2m2.

Q: A box contains 4 different black balls, 3 different red balls and 5 different blue balls. In how many ways can the balls be selected if every selection must have at least 1 black ball and one red ball ? 2676 0

  • 1
    24 - 1
    Correct
    Wrong
  • 2
    2425-1
    Correct
    Wrong
  • 3
    (24-1)(23-1)25
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 3. "(24-1)(23-1)25"
Explanation :

Answer: C) C Explanation: It is explicitly given that all the 4 black balls are different, all the 3 red balls are different and all the 5 blue balls are different. Hence this is a case where all are distinct objects.   Initially let's find out the number of ways in which we can select the black balls. Note that at least 1 black ball must be included in each selection.   Hence, we can select 1 black ball from 4 black ballsor 2 black balls from 4 black balls.or 3 black balls from 4 black balls.or 4 black balls from 4 black balls.   Hence, number of ways in which we can select the black balls   = 4C1 + 4C2 + 4C3 + 4C4= 24-1 ........(A)   Now let's find out the number of ways in which we can select the red balls. Note that at least 1 red ball must be included in each selection.   Hence, we can select 1 red ball from 3 red ballsor 2 red balls from 3 red ballsor 3 red balls from 3 red balls   Hence, number of ways in which we can select the red balls= 3C1 + 3C2 + 3C3=23-1........(B)   Hence, we can select 0 blue ball from 5 blue balls (i.e, do not select any blue ball. In this case, only black and red balls will be there)or 1 blue ball from 5 blue ballsor 2 blue balls from 5 blue ballsor 3 blue balls from 5 blue ballsor 4 blue balls from 5 blue ballsor 5 blue balls from 5 blue balls.   Hence, number of ways in which we can select the blue balls= 5C0 + 5C1 + 5C2 + … + 5C5= 25..............(C)   From (A), (B) and (C), required number of ways=  2524-123-1

Q: France joined the Triple Entente because 2674 0

  • 1
    it needed protection from Germany
    Correct
    Wrong
  • 2
    its leaders wanted to take over land in the Balkans
    Correct
    Wrong
  • 3
    its leaders wanted to protect French colonies in Africa
    Correct
    Wrong
  • 4
    it had a long history of friendship with Great Britain
    Correct
    Wrong
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Answer : 1. "it needed protection from Germany"
Explanation :

Answer: A) it needed protection from Germany Explanation: France joined the Triple Entente because it needed protection from Germany.   France felt very heavily the aggression from Germany (a country which it shared a border with), especially over the tension Alsace and Lorraine and the constant switching over of these two counties. It was also worried about the rapid military advancement in Germany and France wanted to ally itself with Russia and Great Britain.

Q: Oxygen in our blood is transported by a protein named 2671 0

  • 1
    keratin
    Correct
    Wrong
  • 2
    myoglobi
    Correct
    Wrong
  • 3
    collagen
    Correct
    Wrong
  • 4
    haemoglobin
    Correct
    Wrong
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Answer : 4. "haemoglobin"
Explanation :

Answer: D) haemoglobin Explanation: Oxygen in our blood is transported by a protein named Haemoglobin.

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Answer :
Explanation :

One grandfather, One father and One son makes two fathers and two sons.

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