CAT Practice Question and Answer

Q: A can do a work in 9 days, B can do a work in 7 days, C can do a work in 5 days. A works on the first day, B works on the second day and C on the third day respectively that is they work on alternate days. When will they finish the work ? 941 0

  • 1
    [7 + (215/345)] days
    Correct
    Wrong
  • 2
    [6 + (11/215)] days
    Correct
    Wrong
  • 3
    [6 + (261/315)] days
    Correct
    Wrong
  • 4
    [5 + (112/351)] days
    Correct
    Wrong
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Answer : 3. "[6 + (261/315)] days"
Explanation :

Answer: C) [6 + (261/315)] days Explanation: After day 1, A finishes 1/9 of the work. After day 2, B finishes 1/7 more of the total work. (1/9) + (1/7) is finished. After day 3, C finishes 1/5 more of total work. Total finished is 143/315. So, after day 6, total work finished is 286/315.   Now remaining work =  29 /315   On day 7, A will work again    Work will be completed on day 7 when A is working. He must finish 29/315 of total remaining work.   Since he takes 9 days to finish the total task, he will need 261/315 of the day.    Total days required is 6 + (261/315) days.

Q: In a mixture of milk and water the proportion of water by weight was 75%. If in 60 gm of mixture 15 gm water was added, what would be the percentage of water ? (Weight in gm) 1175 0

  • 1
    80%
    Correct
    Wrong
  • 2
    70%
    Correct
    Wrong
  • 3
    75%
    Correct
    Wrong
  • 4
    62%
    Correct
    Wrong
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Answer : 1. "80%"
Explanation :

Answer: A) 80% Explanation: Water in 60 gm mixture=60 x 75/100 = 45 gm. and Milk = 15 gm.   After adding 15 gm. of water in mixture, total water = 45 + 15 = 60 gm and weight of a mixture = 60 + 15 = 75 gm.   So % of water = 100 x 60/75 = 80%.

Q: Which nation plans to build the first city on Mars by 2117 ? 1273 0

  • 1
    India
    Correct
    Wrong
  • 2
    United Arab Emirates
    Correct
    Wrong
  • 3
    China
    Correct
    Wrong
  • 4
    Russia
    Correct
    Wrong
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Answer : 2. "United Arab Emirates"
Explanation :

Answer: B) United Arab Emirates Explanation: The President and Vice-President of United Arab Emirates Sheik Mohamed bin Zayed Al Nahyan and Shaik Mohammed bin Rashid Al Maktoum announced in Febraury 2017 that they are planning to build the first inhabitable human settlement on Mars by 2117.

Q: The Indian Space Research Organisation is planning its maiden mission to explore which planet ? 916 0

  • 1
    Mars
    Correct
    Wrong
  • 2
    Saturn
    Correct
    Wrong
  • 3
    Jupiter
    Correct
    Wrong
  • 4
    Venus
    Correct
    Wrong
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Answer : 4. "Venus"
Explanation :

Answer: D) Venus Explanation: The Indian Space Research Organisation(ISRO) is planning its maiden mission to Venus and its second one to Red planet. The same was confirmed by the newly allotted budget to the department of space, which mentions provisions for 'Mars Orbiter Mission II and Mission Venus'.

Q: The payment per hour for a daily-wages employee is increased by 33.33 and the working time is reduced by 33.33%. What is the percentage change in the employee's income ? 1272 0

  • 1
    11.11% decrease
    Correct
    Wrong
  • 2
    21.11% increase
    Correct
    Wrong
  • 3
    11.11% increase
    Correct
    Wrong
  • 4
    21.11% decrease
    Correct
    Wrong
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Answer : 1. "11.11% decrease"
Explanation :

Answer: A) 11.11% decrease Explanation: If earlier he is getting Rs. 1  per hr and working for 1 hr, income = Rs. 1Now he is getting Rs 1.3333 per hr and working for 0.66667 hrs Then income for 0.66667 hrs = Rs. 0.8889. If payment per hr is increased by 33.33 %  and working hours dereased by 33.33%, then 11.11 % decrease in income.

Q: If in the following set of numbers, the first and the third digits are interchanged in each number, which number will be second from the end if arranged in ascending order after interchanging the digits ? 585  546  514  404  206  369 1014 0

  • 1
    404
    Correct
    Wrong
  • 2
    585
    Correct
    Wrong
  • 3
    415
    Correct
    Wrong
  • 4
    602
    Correct
    Wrong
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Answer : 3. "415"
Explanation :

Answer: C) 415 Explanation: Given numbers are 585 546 514 404 206 369Then interchanging the 1st and 3rd digits of the given numbers, we get585 645 415 404 602 963Now, arranging them in ascending order963 645 602 585 415 404Then the last second number is 415.

Q: A farmer divides his herd of k cows among his 4 sons, so that one son gets one half of the herd, the second gets one-fourth, the third gets one-fifth and the fourth gets 9 cows. Then k is equal to ? 1136 0

  • 1
    160
    Correct
    Wrong
  • 2
    120
    Correct
    Wrong
  • 3
    140
    Correct
    Wrong
  • 4
    180
    Correct
    Wrong
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Answer : 4. "180"
Explanation :

Answer: D) 180 Explanation: Given total number of cows = kNow, 1st son share = k/22nd son share = k/43rd son share = k/54th son share = 9 (k) + (k/4) + (k/5) + 9 = k=> k - (19k/20) = 9=> (20k-19k)/20 = 9=> k = 180.

Q: The ratio of present ages of X and Y is 4:5. Which of the following can't be the ratio of ages of X and Y, 20 years ago ? 1453 0

  • 1
    2 : 5
    Correct
    Wrong
  • 2
    8 : 15
    Correct
    Wrong
  • 3
    9 : 10
    Correct
    Wrong
  • 4
    3 : 5
    Correct
    Wrong
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Answer : 3. "9 : 10"
Explanation :

Answer: C) 9 : 10 Explanation: The ratio of X and Y ages at present is 4:5.  Then, the ratio 20 years ago will not be more than the ratio at present. So, from the options 9:10 is not satifying => its ratio is 0.9 which is greater than presnt ratio of 0.8.

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