CAT Practice Question and Answer

Q: The average weight of a group of boys is 30 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ? 3390 0

  • 1
    6
    Correct
    Wrong
  • 2
    8
    Correct
    Wrong
  • 3
    4
    Correct
    Wrong
  • 4
    5
    Correct
    Wrong
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Answer : 3. "4"
Explanation :

Answer: C) 4 Explanation: Let the number of boys in the group originally be x.Total weight of the boys = 30xAfter the boy weighing 35 kg joins the group, total weight of boys = 30x + 35So 30x + 35 + 31(x + 1) = > x = 4.

Q: Find the odd one out of the following number series? 9 5 6 14 56 488 3389 0

  • 1
    56
    Correct
    Wrong
  • 2
    6
    Correct
    Wrong
  • 3
    14
    Correct
    Wrong
  • 4
    5
    Correct
    Wrong
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Answer : 1. "56"
Explanation :

Answer: A) 56 Explanation: The given number series follows a pattern that, 9 9 x 0.5 + 0.5 = 5 5 x 1 + 1 = 6 6 x 2 + 2 = 14 14 x 4 + 4 = 60 (not equals to 56) 60 x 8 + 8 = 488.   Hence, the odd one in the given number series is 56.

Q: Some mangoes are yellow. Some tixo are mangoes. Conclusions:(i) Some mangoes are green.(ii) Tixo is a yellow. 3386 0

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    Only conclusion (i) follows
    Correct
    Wrong
  • 2
    Only conclusion (ii) follows
    Correct
    Wrong
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    Either (i) or (ii) follows
    Correct
    Wrong
  • 4
    Neither (i) nor (ii) follows
    Correct
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Answer : 4. "Neither (i) nor (ii) follows"
Explanation :

Answer: D) Neither (i) nor (ii) follows Explanation:

Q: Equal quantities of three mixtures of milk and water are mixed in the ratio 1:2, 2:3 and 3:4. The ratio of water and milk in the mixture is ? 3377 0

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    193 : 122
    Correct
    Wrong
  • 2
    97 : 102
    Correct
    Wrong
  • 3
    115 : 201
    Correct
    Wrong
  • 4
    147 : 185
    Correct
    Wrong
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Answer : 1. "193 : 122"
Explanation :

Answer: A) 193 : 122 Explanation: Given the three mixtures ratio as (1:2),(2:3),(3:4) (1+2),(2+3),(3+4) Total content = 3,5,7   Given equal quantities of the three mixtures are mixed, then LCM of 3, 5, 7 = 105 105/3 = 35 , 105/5 = 21 , 105/7 = 15   Now, the individual equal quantity ratios are (35x1, 35x2), (21x2, 21x3), (15x3, 15x4)  i.e (35,70), (42,63), (45,60)   So overall mixture ratio of milk and water is 35+42+45 : 70+63+60 122:193   But in the question asked the ratio of water to milk = 193 : 122

Q: P and Q were assigned to do a work for an amount of 1200. P alone can do it in 15 days while Q can do it in 12 days. With the help of R they finish the work in 6 days. Find the share of R ? 3376 0

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    120
    Correct
    Wrong
  • 2
    240
    Correct
    Wrong
  • 3
    360
    Correct
    Wrong
  • 4
    180
    Correct
    Wrong
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Answer : 1. "120"
Explanation :

Answer: A) 120 Explanation: 1/15 + 1/12 + 1/R = 1/6, we got R = 60 (it means R will take 60 days to complete the work alone) so ratio of work done by P:Q:R = 1/15 : 1/12 : 1/60 = 5 : 4 : 1 so R share = (1/10) x 1200 = 120.

Q: If (89)2 is added to the square of a number, the answer so obtained is 16202. What is the (1/26) of that number? 3373 0

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    5.65
    Correct
    Wrong
  • 2
    2.7
    Correct
    Wrong
  • 3
    3.5
    Correct
    Wrong
  • 4
    6.66
    Correct
    Wrong
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Answer : 3. "3.5"
Explanation :

Answer: C) 3.5 Explanation: Let the number is = x (89)2 + x2 = 16202 x2 = 8281 x = 91 => (1/26) of 91 = 3.5

Q: What is 90 days from today?   Hints : Today is 20th January 2017, Sunday 3364 0

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    18th April, Friday
    Correct
    Wrong
  • 2
    20th April, Saturday
    Correct
    Wrong
  • 3
    21th April, Sunday
    Correct
    Wrong
  • 4
    19th April, Saturday
    Correct
    Wrong
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Answer : 2. "20th April, Saturday"
Explanation :

Answer: B) 20th April, Saturday Explanation: Given Today is 20th January 2017, Sunday In january, we have 31 days February - 28 days (Non leap year) March - 31 days April - 30 days => Remaining days => 31 - 20 = 11 in Jan + 28 in Feb + 31 in Mar = 11 + 28 + 31 = 70 days More 20 days to complete 90 days => upto 20th April   Therefore, after 90 days from today i.e, 20th Jan 2017 is 20th Apr 2017.   Now, the day of the week will be  90/7 => Remainder '6' As the day starts with '0' on sunday  6 => Saturday.   Required day is 20th April, Saturday.

Q: A does half as much work as Band C does half as much work as A and B together. If C alone can finish the work in 40 days, then together ,all will finish the work in  ? 3358 0

  • 1
    17 + 4/7 days
    Correct
    Wrong
  • 2
    13 + 1/3 days
    Correct
    Wrong
  • 3
    15 + 3/2 days
    Correct
    Wrong
  • 4
    16 days
    Correct
    Wrong
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Answer : 2. "13 + 1/3 days"
Explanation :

Answer: B) 13 + 1/3 days Explanation: C alone can finish the work in 40 days.As given C does half as much work as A and B together => (A + B) can do it in 20 days(A + B)s 1 days wok = 1/20.A's 1 days work : B's 1 days Work = 1/2 : 1 = 1:2(given)A's 1 day’s work = (1/20) x (1/3) = (1/60) [Divide 1/20 in the raio 1:2]B's 1 days work = (1/20) x (2/3) = 1/30(A+B+C)'s 1 day's work = (1/60) + (1/30) + (1/40) = 9/120 = 3/40 All the three together will finish it in 40/3 = 13 and 1/3 days.

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