CAT Practice Question and Answer

Q: Dot cabs company provides cabs for software employees. The company has 8 Swift dzires, 6 Scorpios, 7 Innovas and few small cars. If Swift dzire makes one fourth of the total fleet, how many small cars are there in the company ? 1858 0

  • 1
    9
    Correct
    Wrong
  • 2
    10
    Correct
    Wrong
  • 3
    11
    Correct
    Wrong
  • 4
    12
    Correct
    Wrong
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Answer : 3. "11"
Explanation :

Answer: C) 11 Explanation: Given the company has 8 SD + 6 SRP + 7 IN = 21 cars + 'x' small cars.Given SD makes 1/4 th of the total fleet.=> 8 = 1/4 (21 + x)=> 32 = 21 + x=> x = 11 Therefore, the company has 11 small cars.

Q: K is 50% faster than L. If L starts at 9 A.M. and K starts at 10 A.M. L travels at a speed of 50 km/hr. If L and K are 300 kms apart, The time when they meet when they travel in opposite direction is ? 1921 0

  • 1
    12 pm
    Correct
    Wrong
  • 2
    1 pm
    Correct
    Wrong
  • 3
    11 am
    Correct
    Wrong
  • 4
    11:30 am
    Correct
    Wrong
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Answer : 1. "12 pm"
Explanation :

Answer: A) 12 pm Explanation: let 't' be the time after which they met since L starts. Given K is 50% faster than L 50 t + 1.5*50(t-1) = 300 50 t +75 t = 300 + 75 t = 375 / 125 = 3 hrs past the time that L starts So they meet at (9 + 3)hrs = 12:00 noon.

Q: How many zeros are there from 1 to 10000 ? 2202 0

  • 1
    2893
    Correct
    Wrong
  • 2
    4528
    Correct
    Wrong
  • 3
    6587
    Correct
    Wrong
  • 4
    4875
    Correct
    Wrong
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Answer : 1. "2893"
Explanation :

Answer: A) 2893 Explanation: For solving this problem first we would break the whole range in 5 sections 1) From 1 to 9Total number of zero in this range = 0 2) From 10 to 99Total possibilities = 9*1 = 9 ( here 9 is used for the possibilities of a non zero integer) 3) From 100 to 999 - three type of numbers are there in this range a) x00 b) x0x c) xx0 (here x represents a non zero number)Total possibilities for x00 = 9*1*1 = 9, hence total zeros = 9*2 = 18for x0x = 9*1*9 = 81, hence total zeros = 81similarly for xx0 = 81 total zeros in three digit numbers = 18 + 81 +81 = 180 4) From 1000 to 9999 - seven type of numbers are there in this rangea)x000 b)xx00 c)x0x0 d)x00x e)xxx0 f)xx0x g)x0xxTotal possibilities for x000 = 9*1*1*1 = 9, hence total zeros = 9*3 = 27 for xx00 = 9*9*1*1 = 81, hence total zeros = 81*2 = 162 for x0x0 = 9*1*9*1 = 81, hence total zeros = 81*2 = 162for x00x = 9*1*1*9 = 81, hence total zeros = 81*2 = 162 for xxx0 = 9*9*9*1 = 729, hence total zeros = 729*1 = 729for xx0x = 9*9*1*9 = 729, hence total zeros = 729*1 = 729for x0xx = 9*1*9*9 = 729, hence total zeros = 729*1 = 729total zeros in four digit numbers = 27 + 3*162 + 3*729 = 2700thus total zeros will be 0+9+180+2700+4 (last 4 is for 4 zeros of 10000)= 2893

Q: There are 600 Kabaddi players 4% wear knee band on one leg. Of the remaining, 25% wear knee bands on both legs. How many players don't wear a knee band ? 1784 0

  • 1
    426
    Correct
    Wrong
  • 2
    428
    Correct
    Wrong
  • 3
    415
    Correct
    Wrong
  • 4
    432
    Correct
    Wrong
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Answer : 4. "432"
Explanation :

Answer: D) 432 Explanation: There are 600 Kabaddi players4% wear knee band on one legRemaining players = 600 x 0.96 = 576Of the remaining, 25% wear knee bands on both leg and Of the remaining, 75% do not wear knee bands .So players not wearing knee bands = 0.75 x 576 = 576 x 3/4 = 144 x 3 = 432.

Q: Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 4 or 15 ? 861 0

  • 1
    6/19
    Correct
    Wrong
  • 2
    3/10
    Correct
    Wrong
  • 3
    7/10
    Correct
    Wrong
  • 4
    6/17
    Correct
    Wrong
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Answer : 2. "3/10"
Explanation :

Answer: B) 3/10 Explanation: Here, S = {1, 2, 3, 4, ...., 19, 20}=> n(s) = 20Let E = event of getting a multiple of 4 or 15 =multiples od 4 are {4, 8, 12, 16, 20}And multiples of 15 means multiples of 3 and 5= {3, 6 , 9, 12, 15, 18, 5, 10, 15, 20}.= the common multiple is only (15).=> E = n(E)= 6Required Probability = P(E) = n(E)/n(S) = 6/20 = 3/10.

Q: What is the highest number of satellites that have been launched by the ISRO in 2017 on a single rocket ? 1050 0

  • 1
    22
    Correct
    Wrong
  • 2
    37
    Correct
    Wrong
  • 3
    83
    Correct
    Wrong
  • 4
    104
    Correct
    Wrong
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Answer : 4. "104"
Explanation :

Answer: D) 104 Explanation: India’s space agency on Feb 15th, 2017 launched a record 104 satellites from a single rocket as it crossed another milestone in its low-cost space-exploration program. The satellites from seven countries were carried by the Indian Space Research Organization’s Polar Satellite Launch Vehicle on its 38th consecutive successful flight. On board was a 714kg satellite for earth observation and more than 100 smaller satellites weighing less than 10kg each. Three were Indian-owned, 96 were from US companies, and the rest belonged to companies based in Israel, Kazakhstan, the Netherlands, Switzerland and the United Arab Emirates. Most were owned by Planet Labs Inc, a US-based Earth-imaging company.

Q: Rs. 7444 is divided among 5 ladies, 3 gents and 3 girls. The ratio of share of a lady, a gents and a girl is 7: 4: 3. What is the share of gents ? 2764 0

  • 1
    Rs. 1595.14
    Correct
    Wrong
  • 2
    Rs. 1793.4
    Correct
    Wrong
  • 3
    Rs. 595.14
    Correct
    Wrong
  • 4
    Rs. 1551.5
    Correct
    Wrong
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Answer : 1. "Rs. 1595.14"
Explanation :

Answer: A) Rs. 1595.14 Explanation: Ratio of the share of a lady, a gents and a girl is 7 : 4 : 3No of ladies, gents and girls are 5, 3, 3Thus effective ratio of ladies, gents and girls is 7 x 5 : 4 x 3 : 3 x 3 = 35 : 12 : 9so part of gents = (12/56) x 7444 = Rs. 1595.142so part of 1 gents = 1595.142/3 = Rs. 531.71.

Q: Choose apropriate words which gives a complete meaning to the sentence from the given options. we were thinking ______ it _______ something like a requiem for our age. 1595 0

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    for, because
    Correct
    Wrong
  • 2
    for, as
    Correct
    Wrong
  • 3
    of, as
    Correct
    Wrong
  • 4
    of, since
    Correct
    Wrong
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Answer : 3. "of, as"
Explanation :

Answer: C) of, as Explanation:

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