CAT प्रश्न और उत्तर का अभ्यास करें

प्र: 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 ? 1050 0

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

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.

प्र: 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) 1277 0

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    80%
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  • 2
    70%
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  • 3
    75%
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  • 4
    62%
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उत्तर : 1. "80%"
व्याख्या :

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%.

प्र: Which nation plans to build the first city on Mars by 2117 ? 1389 0

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    India
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  • 2
    United Arab Emirates
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  • 3
    China
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  • 4
    Russia
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उत्तर : 2. "United Arab Emirates"
व्याख्या :

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.

प्र: The Indian Space Research Organisation is planning its maiden mission to explore which planet ? 1036 0

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    Mars
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  • 2
    Saturn
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  • 3
    Jupiter
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  • 4
    Venus
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उत्तर : 4. "Venus"
व्याख्या :

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'.

प्र: 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 ? 1382 0

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    11.11% decrease
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  • 2
    21.11% increase
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  • 3
    11.11% increase
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  • 4
    21.11% decrease
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उत्तर : 1. "11.11% decrease"
व्याख्या :

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.

प्र: 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 1134 0

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    404
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  • 2
    585
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  • 3
    415
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  • 4
    602
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उत्तर : 3. "415"
व्याख्या :

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.

प्र: 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 ? 1241 0

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    160
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  • 2
    120
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  • 3
    140
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  • 4
    180
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उत्तर : 4. "180"
व्याख्या :

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.

प्र: 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 ? 1572 0

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    2 : 5
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  • 2
    8 : 15
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  • 3
    9 : 10
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  • 4
    3 : 5
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उत्तर : 3. "9 : 10"
व्याख्या :

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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