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We hope that all CAT candidates have begun following the 60-day preparation schedule we developed. We have already discussed tactics for the first three days. Now, depending on the subjects that were covered those days, we recommend that you attempt the CAT sample paper (with practice questions and answers) Mentioned below. Use it to monitor your development and evaluate your performance.
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Q1. Find the remainder when 6576 is divided by 7.
Q2. Find the remainder when 38177 is divided by 17.
Q3. My year of birth is 1974. What would the year have been instead of 1974 if base 12 were used (for counting) instead of the decimal system?
Q4. Unit digit of 7243 × 6384 × 7497 × 7676 × 87109 × 8890
Q5. The difference of 1035 – 4 and 1034 - x is divisible by 3 for x =?
Q6. If 42n + 1 + x and 4n – x is divisible by 5, n being an even integer, find the least value of x.
Q7. What is the remainder when 3 + 32 + 33 + ….32n+1 is divided by 6?
Q8. The remainder when the number 123456789101112 ……383940 is divided by 16 is:
Direction (Q1-Q3):
Chart 1: Shows the distribution by the value of a Commodity by top 6 countries in 2000
Chart 2: Shows the distribution by the quantity of top 6 suppliers of a Commodity in 2000
Total value is Rs. 5000 crores
Total quantity is 1000 crore tonnes
Q1. The country which has the highest average price is?
Q2. The average price (Rs. per ton) for PNG is roughly?
Q3. The country which has the lowest average price is?
Directions for questions 4 to 6: Answer the questions on the basis of the information given below.
P and N are two brands of kitchen Slicers available in the local market. P was introduced in 1990, while N was introduced in 1997. For both these brands, 20% of the slicers bought in a particular year were considered as nonoperative exactly two years later. It is known that 10 P-Slicers were disposed of in 1997. The following figures show the number of P and N Slicers in operation from 1995 to 2000, as of the end of the year.
Q4. How many N Slicers were purchased in 1999?
Q5. How many N- Slicers were disposed of by the end of 2000?
Q6. How many P-Slicers were disposed of in 2000?
Direction (Q7-9):
Four children, Aman, Sanu, Anil and Rohit become a part of a survey about their weight and heights. Their weights and heights were measured every two years between the ages of 4 years and 16 years. The graph informs us about the ratio of their weights (in kgs) to their heights (in inches).
The following graph informs about the weights (in kgs) with ages at X-axis
Q7. The difference between the heights of Sanu and Rohit at the age of 10 is?
Q8. By how many inches did Anil grow in height from the age of 6 years to 10 years?
Q9. Who among the four children was the shortest at 8 years of age?
Q1: The management has suggested that he recuse himself from the allegations, whether he is elected or not.
Q2. Find out the proper noun in the following sentence:
The beauty of the lake is unparalleled.
Q3. Whoever is chosen as the new Vice-Chancellor of University, it is likely to continue some of the policies regarding the dress code.
Q4. The Footballer, whose record is exemplary, bagged a seven-year endorsement contract with a sports equipment manufacturer.
Q5. One of the problems that occur as a result of increasing population is the decrease in the opportunities of Job.
Q6. The sheer number of trucks on the Express way have all but paralyzed the traffic system.
Q7. ‘To be, or not to be, that is the question.’
Identify the verb in the sentence
Q8. The striking panorama of elegantly spread flowers in the state of Uttarakhand provides evidence of why Uttarakhand, a state, is called “Valley of Flower”.
Ans 1: C
Rem (65/7) ? 2
276 ? (23)25x2
Rem ((23)/7) ?1
Rem (125/7) ? 1
Rem [(2x (23)25)/7] ? 2x1 =2; where Rem (x/y) represents the value of remainder when x is divided by y.
Ans 2: (c)
Rem (381/17) ? 7
777 ? (72)38x7
Rem ((72)/17) ?-2
Rem ((-2)38/17) ? Rem [((-2)4x9x(-2)2)/17] ? Rem [(4x169)/17]
When 16 is divided by 17, remainder is -1 and (-1)^9 is -1.
Therefore, when (4x169) is divided by 17, remainder is 4x(-1) = -4.
So, the remainder when (72)38 is divided by 17 = (17-4) = 13.
So, when 777 is divided by 17 remainders = Rem (7x13/17)= 6
where Rem (x/y) represents the value of remainder when x is divided by y.
Ans 3: A
For that, divide 1974 by 12 as shown
Divisor | quotient | Remainders |
12 | 1974 | 6 |
12 | 164 | 8 |
12 | 13 | 1 |
1 | 1 |
Write the remainders from bottom to top
So, in base 12 years of birth is (1186)
Ans 4: (b)
Cyclicity of 2 is 4 i.e. unit digit is repeated after every 4th power of 2
So, Unit digit of 7243 is same as unit digit of 23 which is equal to 8.
The cyclicity of 3 is 4 i.e. unit digit is repeated after every 4th power of 3
So, the unit digit of 6384 is the same as the unit digit of 34 which is equal to 1.
The unit digit of 4^odd is always 4.
The unit digit to any power of 6 is 6.
Cyclicity of 7 is 4 i.e. unit digit is repeated after every 4th power of 7
So, the Unit digit of 87109 is the same as the unit digit of 71 which is equal to 7.
Cyclicity of 8 is 4 i.e. unit digit is repeated after every 4th power of 8.
So, the unit digit of 8890 is the same as the unit digit of 82 which is equal to 4.
Therefore, the Unit digit of 7243 × 6384 × 7497 × 7676 × 87109 × 8890 will be equal to the unit digit of 8x1x4x6x7x4 i.e. equal to 6.
Ans 5: (c)
Difference = (1035 – 4) – (1034 - x) = (1035 – 1034 + x- 4) = 1034(10 – 1) + (x-4) = 9x1034 + (x-4)
9x1034 is divisible by 3 since it is multiple of 3.
(x-4) is divisible by 3 if x is 4 in the given options.
Ans 6: (a)
Since n is even, unit digit of 42n + 1 = 4 (Since 4^odd is always gives 4 as unit digit)
and unit digit of 4n = 6 (Since 4^odd is always gives 6 as unit digit)
Therefore, 42n + 1 + x is divisible by 5 if x is 1, 6, 11, 16, …….
and 4n – x is divisible by 5 if x is 1, 6, 11, 16, …….
So, the least value of x is 1.
Ans 7: (c)
When 3 is divided by 6, the remainder is 3.
When 32 is divided by 6, the remainder is 3.
When 33 is divided by 6, the remainder is 3.
When 34 is divided by 6, the remainder is 3 and so on.
So, the remainder is 3 + 3 + 3 + ……up to 2n+1 terms.
If 3 is added to an odd number of terms, after dividing by 6 it will give a remainder of 3.
Ans 8: (b)
Divide the last 4 digits of the number to find the remainder when the number is divided by 16 (according to the divisibility rule of 16)
So, Rem (3940/16) = 4
Ans 1: B
Average Price will be calculated by Average Price = Total value/ Total quantity
As seen from charts Sweden will have highest ratio = 20/11
So, Sweden will have the highest average Price.
Ans 2: C
Average Price will be calculated by Average Price = Total value/ Total quantity
For PNG = Price/ Quantity = (12% of 5000)/(16% of 1000) = Rs 3.75 per ton.
Ans 3: C
Share in Value | Share in Quantity | (Share in Value)/ (Share in Quantity) | |
India | 20% | 26 % | 20/26 = 0.769 |
China | 15% | 17 % | 15/17 = 0.88 |
Japan | 16% | 15 % | 16/15 = 1.06 |
USA | 17 % | 15 % | 17/15 = 1.13 |
Sweden | 20 % | 11 % | 20/11 = 1. 82 |
PNG | 12 % | 16 % | 12/16 = 0.75 |
The country which will have the least ratio of ‘share in total value’ to ‘share in total quantity’ will have the least average value.
Average Price will be calculated by Average Price = Total value/ Total quantity
As seen from the table, PNG will have the lowest average Price.
Ans 4: C
Total N-slicers in 1999 = 124
Initially slicers in 1997 the slicers were 30 and in 1998, 50 slicers were bought
In 1999, 20% of slicers from 1997 must be disposed of (20% of 30= 6) which means 24 remains in operative condition.
So, N-Slicers bought in 1998 must be 80 – 30 = 50
So, N-Slicers bought in 1999 must be 124 – 50 - 24 = 50
Ans 5: B
Number of slicers disposed of in 1999 is 20% of 30 (bought in 1997) = 6
Number of slicers disposed of in 2000 is 20% of 50 (Which were bought in 1998) = 10
So total by end of 2000 is = 10 + 6= 16
Ans 6: C
Since P-slicers were introduced in 1990, we don't have data from 1990 to 1995. Therefore, we cannot find this answer.
Ans 7: C
we know that R = and we also know the weights from the second graph.
Thus, the heights can be found as Height = .
Height of Sanu when he was 10 years old = 42/0.8 = 52.5 inches.
Height of Rohit when he was 10 years old = 60/1.1 = 54.54 inches.
Thus, the required difference = 54.54 – 52.5 = 2.04 inches
Ans 8: D
Anil's height when he was 6 years old = 40/1.3 = 30.76
Anil's height when he was 10 years old = 46/1 = 46
Thus, Height increases by 15.24 inches.
Ans 9: A
The heights of Aman, Sanu, Anil and Rohit when 8 years old are 48/1.3, 46/1, 38/1, 54/1.2 i.e. 36.9, 46, 38, 45 respectively. Thus the shortest among them is Aman.
Ans 1: D
A verb associated with suggestion is used with a noun clause beginning with ‘that’, the clause (whether the clause is singular or plural) uses the base verb. So, in the given sentence, ‘recuse’ is correct.
So, no correction is required.
Ans 2: B
Lake is proper noun
Beauty is an abstract noun.
Ans 3: C
In the underlined portion, “Whoever is chosen as the new Vice-Chancellor of University” is followed by ‘it’ which is incorrect because ‘Whoever’ cannot be followed by ‘it’ pronoun.
‘Whoever’ is a singular pronoun. So, ‘they’ cannot be used for ‘whoever’ (option A is incorrect)
‘Whomever’ is the wrong word in this context. (Option B is incorrect)
Option C contains no error.
Ans 4: D
The underlined part is grammatically correct.
Ans 5: D
Two Verbs are used:
1. occur ? it is referred to ‘problems’, so it is correctly used.
2. is ? referred to ‘one of the problems’ which is singular. So, it is also correctly used.
Ans 6: A
the subject of the sentence is ‘the sheer number’ which is singular, since the noun (‘number’) is singular. The verb ‘have’ relates to this, and not ‘trucks’.
Therefore ‘have’ should be replaced by ‘has’.
Answer 7: A
‘Is’ acting as the main verb in the sentence
Ans 8: C
‘Panorama’ is singular. So, the verb associated with this is ‘provides’, not ‘provide
CAT 2023 Official Question Paper and Answer Key (Slot 1) | |
CAT 2023 Official Question Paper and Answer Key (Slot 3) |
A bar graph compares data across categories, while a line graph links data points with a line showing patterns over time.
A bar graph is a basic technique to display data using bars or rectangles of varying widths. Each bar symbolizes a single category or item, and its length or height indicates how much of that thing there is. The longer the bar, the more it symbolizes. Bar graphs are used to readily compare data, such as the sales of different items or the number of pupils in various courses.
A line graph is a kind of chart that connects points to demonstrate how something evolves over time or with various data.
It allows you to readily examine trends, patterns, or changes in data, such as how sales rise or decrease over time.
A pie chart is a circular graph split into slices, with each slice representing a portion of the total.
A bar graph compares data across categories, while a line graph links data points with a line showing patterns over time.
A bar graph is a basic technique to display data using bars or rectangles of varying widths. Each bar symbolizes a single category or item, and its length or height indicates how much of that thing there is. The longer the bar, the more it symbolizes. Bar graphs are used to readily compare data, such as the sales of different items or the number of pupils in various courses.
A line graph is a kind of chart that connects points to demonstrate how something evolves over time or with various data.
It allows you to readily examine trends, patterns, or changes in data, such as how sales rise or decrease over time.
A pie chart is a circular graph split into slices, with each slice representing a portion of the total.
If you have a leg fracture and are scheduled to appear for the CAT entrance exam, it’s best to contact the CAT exam conducting authorities directly rather than the local exam center alone. CAT is managed centrally by the Indian Institutes of Management (IIMs), and they have established protocols for handling candidates with medical needs. Informing the CAT exam cell (via their official contact channels) will ensure that your request is processed appropriately and documented centrally.
You should explain your medical situation and, if needed, request specific arrangements, such as additional assistance to navigate the exam center or seating adjustments. While reaching out to the CAT exam cell, you may also inquire if additional documentation, such as a medical certificate, is required to facilitate the arrangements. Additionally, contacting the allotted test center as a secondary step could be beneficial, as the local administrators may also help with on-ground assistance.
For official contact information, refer to the CAT website’s helpdesk or contact page, which will have the latest guidelines for handling such requests. Taking these steps should ensure a smoother exam experience despite your injury.
https://bschool.careers360.com/articles/cat-eligibility-criteria
Hello,
If your signature in the admit card is a little distorted, it's no concern. You have to check that your admit card needs to meet all standards when it comes to identification or verification purposes. What should you do?
Check out the Guidelines: Scan out the instructions from the admit card for the signature part. Usually, they do expect it to be visible and look exactly the way it did on the form.
Contact Authorities: If you are concerned, the best would be to contact the CAT exam authorities or the conducting body (IIMs) to inquire whether this will cause any issues. They can guide you on whether you need to re-upload or fix the signature.
Be Cautionary on Exam Day: Carry a photo ID with you while going for the exam, along with your admit card. This may be needed in the future to verify your identity. Ensure that the signature is clearly visible on the ID.
Always safety is ahead to avoid any last moment complication.
Yes, you can certainly attempt the CAT exam with a fractured leg, but there are a few practical considerations to help make the experience smoother. Since CAT is a computer-based test (CBT) and requires candidates to be seated for a few hours, it's essential to ensure you’re comfortable during this time. To manage discomfort, consider arranging seating adjustments or leg support if needed. You may also need assistance getting to the exam center and moving around, as most exam centers may not allow additional mobility devices unless pre-arranged.
The CAT exam authorities generally don’t have special accommodations specifically for fractured limbs, but they do provide support for candidates with disabilities. You could reach out to the exam organizers or your designated exam center to discuss any specific needs, such as seating arrangements. Also, be mindful of pain management strategies; consult your doctor for guidance on managing pain during the exam and consider adjusting your study posture to prevent strain.
Ultimately, with careful planning and by reaching out for any necessary accommodations, it is entirely possible to successfully attempt CAT with a fractured leg.
To access your free CAT mock tests on the Career 360 app first of all enroll yourself for free mock test then , log in to your account and navigate to the "CAT Preparation" section within the app. You should see a dedicated area for mock tests where you can access and take the ones you've enrolled for.
Here are a few steps to follow:
1.Open the Career 360 app: Launch the app on your phone or device.
2.Login with your credentials: Use your registered email and password to log in to your account.
3.Access the CAT section: Once logged in, look for a section labeled "CAT Preparation" or similar.
4.Find your mock tests: Within the CAT section, you should see an option for "Mock Tests" or "Test Series." Click on it to view your available mock tests.
If you are still having problem in accessing free cat mock test contact support from career 360 app your problem or issue will be resolved in 24 hours and you will be able to give free mock test.apart from this you can check preparation study material on our app.
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Yes , if you have completed a Diploma after Class 12 many institutions will accept this qualification as an alternative to the 12th grade for admission to a Bachelor’s degree in Cinema and Television ( B.CAT ) in Film Editing . eligibility criteria vary from college to college but most recognize a diploma in a relevant field as sufficient for entry , especially if it aligns with media , film studies or in similar domain .
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