CAT Practice Question and Answer

Q: The minimum number of half years in which a sum of money kept at 60% compound interest will be quadrupled is ? 2212 0

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    2
    Correct
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  • 2
    4
    Correct
    Wrong
  • 3
    3
    Correct
    Wrong
  • 4
    6
    Correct
    Wrong
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Answer : 4. "6"
Explanation :

Answer: D) 6 Explanation: Let us assume Amount be 100 Rs and we calculate in CI  First year 60% of 100 = 60 amount (100+60) is 160  Second year 60% of 160 = 96 amount (160+96) is 256  Third year 60% of 256 =153.6 amount (256+153.6) is 409.6  Here the Amount of 100 Rs is quadrapled in 3 years.  One year contains 2 half years  Three year has 6 half years.  Therefore,  It takes 6 half years.

Q: If the cost price of a certain object doubles, then the loss gets tripled of what it was initially. The initial loss % was ? 11479 0

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    0 %
    Correct
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  • 2
    25 %
    Correct
    Wrong
  • 3
    75 %
    Correct
    Wrong
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    50 %
    Correct
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Answer : 4. "50 %"
Explanation :

Answer: D) 50 % Explanation: Let the cost price be x and selling price be y.Loss = x – y   When the cost price doubles, the loss gets tripled.So it becomes like this, 2x – y = 3(x-y) => x = 2y   Loss % = (loss/ C.P) x 100 = [(2y-y)/2y] x 100= 50 %

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Answer : 3. "4.18"
Explanation :

Answer: C) 4.18 Explanation: Distance to be covered = πD = 40π km  Relative speed of bikers = 16 + 14 = 30 kmph.   Now, time=distancespeed =  40π30 = 4.18 hrs.

Q: From a bunch of flowers having 16 red roses and 14 white roses, four flowers have to be selected. In how many different ways can they be selected such that at least one red rose is selected? 1851 0

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    27405
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  • 2
    26584
    Correct
    Wrong
  • 3
    26585
    Correct
    Wrong
  • 4
    27404
    Correct
    Wrong
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Answer : 4. "27404"
Explanation :

Answer: D) 27404 Explanation: Given total 16 Red roses and 14 White roses = 30 roses   Four flowers have to be selected from 30 i.e,  C430= 27405 Ways    Now, atleast one Red rose is selected i.e, 27405(total) - 1(all four are white roses)  = 27404 ways.

Q: If log 64 = 1.8061, then the value of log 16 will be (approx)? 4299 0

  • 1
    1.9048
    Correct
    Wrong
  • 2
    1.2040
    Correct
    Wrong
  • 3
    0.9840
    Correct
    Wrong
  • 4
    1.4521
    Correct
    Wrong
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Answer : 2. "1.2040"
Explanation :

Answer: B) 1.2040 Explanation: Given that, log 64 = 1.8061  i.e log43=1.8061  --> 3 log 4 = 1.8061 --> log 4 = 0.6020 --> 2 log 4 = 1.2040 ⇒log42=1.2040 Therefore, log 16 = 1.2040

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Answer : 2. "T"
Explanation :

Answer: B) T Explanation: R is the sister of U     Q is the brother of T’s Husband     S is the father of P and Grandfather of U     Grouping all the clues     Two fathers     :  P,S   Three brothers : Q&P are brothers.U should be male and the brother of R   T is the mother

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Answer : 1. "G & H , H"
Explanation :

Answer: A) G & H , H Explanation: From the directions given :  From the fig. it is clear that  1) neighbours of B are G , H. 2) E is facing H.

Q: How many remainders are possible if 16n is divided by 9 for any positive integral value of n ? 2021 0

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    1
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    2
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    3
    Correct
    Wrong
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    4
    Correct
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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.

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