CAT Practice Question and Answer

Q: In how many ways the letters of the word 'DESIGN' can be arranged so that no consonant appears at either of the two ends? 1020 0

  • 1
    240
    Correct
    Wrong
  • 2
    72
    Correct
    Wrong
  • 3
    48
    Correct
    Wrong
  • 4
    36
    Correct
    Wrong
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Answer : 3. "48"
Explanation :

Answer: C) 48 Explanation: DESIGN = 6 letters   No consonants appear at either of the two ends.  = 2 x 4P4 =  2 x 4 x 3 x 2 x 1=  48

Q: Using numbers from 0 to 9 the number of 5 digit telephone numbers that can be formed is 1114 0

  • 1
    1,00,000
    Correct
    Wrong
  • 2
    59,049
    Correct
    Wrong
  • 3
    3439
    Correct
    Wrong
  • 4
    6561
    Correct
    Wrong
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Answer : 3. "3439"
Explanation :

Answer: C) 3439 Explanation: The numbers 0,1,2,3,4,5,6,7,8,9 are 10 in number while preparing telephone numbers any number can be used any number of times.   This can be done in 105ways, but '0' is there   So, the numbers starting with '0' are to be excluded is 94 numbers.    Total 5 digit telephone numbers = 105- 94 = 3439

Q: Count the number of triangles and squares in the given figure. 2724 0

  • 1
    36 triangles, 7 Squares
    Correct
    Wrong
  • 2
    38 triangles, 9 Squares
    Correct
    Wrong
  • 3
    40 triangles, 7 Squares
    Correct
    Wrong
  • 4
    42 triangles, 9 Squares
    Correct
    Wrong
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Answer : 3. "40 triangles, 7 Squares"
Explanation :

Answer: C) 40 triangles, 7 Squares Explanation: The figure may be labelled as shown      Triangles :   The Simplest triangles are BGM, GHM, HAM, ABM, GIN, IJN, JHN, HGN, IKO, KLO, LJO, JIO, KDP, DEP, ELP, LKP, BCD and AFE i.e 18 in number   The triangles composed of two components each are ABG, BGH, GHA, HAB, HGI, GIJ, IJH, JHG, JIK, IKL, KLJ,LJI, LKD, KDE, DEL and ELK i.e 16 in number.   The triangles composed of four components each are BHI, GJK, ILD, AGJ, HIL and JKE i.e 6 in number.   Total number of triangles in the figure = 18 + 16 + 6 =40.   Squares :   The Squares composed of two components each are MGNH, NIOJ, and OKPL i.e 3 in number   The Squares composed of four components each are BGHA, GIJH, IKJL and KDEL i.e 4 in number   Total number of squares in the figure = 3 + 4 =7

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Answer :
Explanation :

1. Answer : 2 Explanation : Productivity = Total production/area of Agr.land  Productivity of UP = [ (35000+30000+25000) / (30/100) ] = 300000   Productivity of MP = [ (30000+37500+27500) / (25/100) ] = 380000   Productivity of Bihar = [ (22500+27500+25000) / (20/100) ] = 375000  Productivity of Odisha = [ (22500+15000+10000) / (5/100) ]= 950000   Productivity of Haryana = [ (30000+25000+35000) / (8/100) ] = 1125000   Productivity of Punjab = [ (40000+35000+30000) / (12/100) ] = 875000  The Productivity of Haryana is the maximum.       2. Answer : 5   Explanation : Production of Punjab is maximum = 105000 tonnes      3. Answer : 3  Explanation : Production of Wheat in Punjab = 40000 tones Production of Maize in Odisha = 10000 tones Required % = (40000 - 10000)/100 = 300%      4. Answer : 4  Explanation : The ratio of prodution of Rice in Bihar to the production of Wheat in Haryana = 25000 tonnes : 25000 tonnes = 1 : 1       5. Answer : 1   Explanation : Income of MP from export of 40% of Rice at the rate of Rs.30 per kg = Rs.39crore Income of UP from export of 30% of Rice at the rate of Rs.32 per kg = Rs.28.8 crore  Required ratio = 39 : 28.8 = 390 : 288 = 65 : 48

Q: A shopkeeper sells one-third of his goods at a profit of 10%, another one-third at a profit of 20%, and the rest at a loss of 6%.What is his overall profit percentage ? 1876 0

  • 1
    6%
    Correct
    Wrong
  • 2
    8%
    Correct
    Wrong
  • 3
    10%
    Correct
    Wrong
  • 4
    12%
    Correct
    Wrong
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Answer : 2. "8%"
Explanation :

Answer: B) 8% Explanation: Let the shopkeeper buy 300g for Rs.300. Now he sells 100g for Rs.110, another 100g for Rs120, and the rest 100g for Rs94.    Therefore, the total amount he receives = Rs.110 + Rs.120 + Rs.94 = 324.    Therefore, the shopkeeper spends Rs.300 and gets back Rs.324.   Therefore, his profit percentage = 24300x100 % = 8%

Q: A retailer buys product from a shopkeeper at discount of 40% on the list price (marked price) and sells them to the customer at a discount of 25% on the list price.What is his profit percentage ? 2137 0

  • 1
    10%
    Correct
    Wrong
  • 2
    15%
    Correct
    Wrong
  • 3
    20%
    Correct
    Wrong
  • 4
    25%
    Correct
    Wrong
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Answer : 4. "25%"
Explanation :

Answer: D) 25% Explanation: Let the list price be Rs.100.    Therefore, the retailer is buying the products at Rs.60 and selling it to the customer at Rs.75, earning a profit of Rs.15.   Therefore, his percentage is = 1560x100 = 25%

Q: A women goes to market with Rs.500 to buy oranges.the prices of the oranges have decreased by 10% so he could buy 2kg more with the amount she had.What was the original price of the oranges ? 3387 0

  • 1
    22.77
    Correct
    Wrong
  • 2
    25.77
    Correct
    Wrong
  • 3
    27.77
    Correct
    Wrong
  • 4
    29.77
    Correct
    Wrong
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Answer : 3. "27.77"
Explanation :

Answer: C) 27.77 Explanation: If the price of the oranges decreases by 10%, the woman would save 10% of the money that is Rs.50 to buy the same amount as before.Now in Rs. 50 she can buy 2 kg more, therefore the current price of 1 kg of oranges is Rs25.Now, this current price is after 10% reduction.       Therefore, the original price =  25/0.9  = Rs. 27.77

Q: In a Certain Country 1/2 of 5 = 3. If the same proportion holds, what is the value of 1/3 of 10 ? 1681 0

  • 1
    4
    Correct
    Wrong
  • 2
    6
    Correct
    Wrong
  • 3
    8
    Correct
    Wrong
  • 4
    10
    Correct
    Wrong
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Answer : 1. "4"
Explanation :

Answer: A) 4 Explanation: Let 1310 = x  => 3x = 10   Given that 125=3   Therefore, 52x = 10    => x = 10/3 = 4.

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