| Updated On - Nov 25, 2024
CUET General Test Question Paper 2024 (Set A) is available for download here. NTA conducted CUET 2024 General Test paper on 15 May in Shift 2B from 5 PM to 6 PM. CUET General Test Question Paper 2024 is based on objective-type questions (MCQs). Candidates get 60 minutes to solve 50 MCQs out of 60 in CUET 2024 question paper for General Test.
CUET General Test Question Paper 2024 (Set A) PDF Download
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CUET 2024 General Test Solutions (Set A)
| Question | Answer | Detailed Solution |
|---|---|---|
| Which pass connects Jammu with Srinagar? (1) Banihal Pass (2) Nathu La Pass (3) Niti Pass (4) Rohtang Pass |
(1) Banihal Pass | Banihal Pass connects Jammu with Srinagar. It is a mountain pass in the Pir Panjal range, providing a crucial link between the two regions. |
| Which of the following is not correctly matched regarding Padma Awards 2024? (1) Padma Vibhushan → Konidela Chiranjeevi (2) Padma Shri → Mithun Chakraborty (3) Padma Bhushan → M. Fathima Beevi (4) Padma Bhushan → Sitaram Jindal |
(2) Padma Shri → Mithun Chakraborty | Mithun Chakraborty was not awarded the Padma Shri in 2024. Other mentioned awards are correctly matched. |
| Match List-I with List-II: (A) Vishakhadatta → II. Poet (B) Kartikeya Sarabhai → III. Environmentalist (C) Charaka → I. Medicine (D) Satyendra Nath Bose → IV. Mathematics |
(2) (A)-(II), (B)-(III), (C)-(I), (D)-(IV) | 1. Vishakhadatta is a poet. 2. Kartikeya Sarabhai is an environmentalist. 3. Charaka contributed to medicine. 4. Satyendra Nath Bose was a mathematician. |
| If sin A = 4/5, then (3 - tan A)(2 + cos A) is: (1) 12/5 (2) 13/3 (3) 13/5 (4) 3 |
(3) 13/5 | Given sin A = 4/5, calculate cos A = 3/5 and tan A = 4/3. Substituting values gives (3 - 4/3)(2 + 3/5) = 13/5. |
| A man can row a boat at 8 km/h in still water. If the speed of the water current is 2 km/h and it takes him 2 hours to row to a place and come back, how far off (in km) is the place? (1) 7.5 (2) 6 (3) 9.5 (4) 10 |
(1) 7.5 | Speed downstream = 10 km/h; Speed upstream = 6 km/h. Total time = d/10 + d/6 = 2. Solving gives d = 7.5 km. |
| The following states were formed after 1960. What was the correct sequence of their formation? A) Haryana B) Sikkim C) Nagaland D) Goa (1) (C), (B), (A), (D) (2) (C), (A), (B), (D) (3) (C), (D), (A), (B) (4) (D), (C), (A), (B) |
(2) (C), (A), (B), (D) | Nagaland was formed in 1963, Haryana in 1966, Sikkim in 1975, and Goa in 1987. Therefore, the correct sequence is Nagaland, Haryana, Sikkim, and Goa. |
| Out of the given options, which scheme’s objective is to conduct an annual survey at the gram panchayat level to monitor the progress in the development process of rural areas? (1) Mission Antyodaya (2022-23) (2) Mission Karmayogi (2022-23) (3) Mission Rashtriya Gokul (2022-23) (4) Mission Atmanirbhar Bharat (2022-23) |
(1) Mission Antyodaya (2022-23) | Mission Antyodaya aims to improve rural infrastructure through annual surveys at the gram panchayat level. This survey helps to assess development needs and resource allocation effectively. |
| Which one of the following countries is not a member of the ”Quadrilateral Security Dialogue”, also known as ”QUAD”? (1) China (2) Japan (3) India (4) Australia |
(1) China | The ”Quadrilateral Security Dialogue” (QUAD) is a strategic alliance comprising the United States, Japan, India, and Australia. China is not a member of this group. |
| Who has become the first woman chairperson of the Railway Board of Indian Railways in 2023? (1) Jaya Verma Sinha (2) Mita Vashishth (3) Ravneet Kaur (4) Vasudha Gupta |
(1) Jaya Verma Sinha | Jaya Verma Sinha became the first woman to hold the position of chairperson of the Railway Board in 2023, marking a significant milestone in Indian Railways. |
| Match List-I with List-II: List-I (Country) List-II (Currency) A. Myanmar I. Ruble B. Russia II. Ngultrum C. Malaysia III. Kyat D. Bhutan IV. Ringgit Options: (1) (A)-(III), (B)-(I), (C)-(II), (D)-(IV) (2) (A)-(III), (B)-(I), (C)-(IV), (D)-(II) (3) (A)-(IV), (B)-(I), (C)-(III), (D)-(II) (4) (A)-(II), (B)-(I), (C)-(IV), (D)-(III) |
(2) (A)-(III), (B)-(I), (C)-(IV), (D)-(II) | A. Myanmar uses Kyat as its currency. B. Russia uses Ruble as its currency. C. Malaysia uses Ringgit as its currency. D. Bhutan uses Ngultrum as its currency. Therefore, the correct match is (2). |
| "Jhulaghat Suspension Bridge" between India and which country has become fully operational now? (1) Bhutan (2) Nepal (3) China (4) Myanmar |
(2) Nepal | The "Jhulaghat Suspension Bridge" is a vital connection between India and Nepal, facilitating cross-border trade and movement. |
| Due to ocean acidification, when the ocean becomes more acidic, what happens to the pH level of the ocean? (1) The pH level goes down. (2) The pH level stays the same. (3) The pH level goes up. (4) The pH level becomes zero. |
(1) The pH level goes down. | Ocean acidification refers to the reduction of the pH level of seawater due to the absorption of carbon dioxide (CO₂) from the atmosphere. As CO₂ dissolves in seawater, it forms carbonic acid, which lowers the pH of the ocean. |
| Who is the first para-athlete to receive the Padma Bhushan award in India? (1) Bhavina Patel (2) Devendra Jhajharia (3) Avani Lekhara (4) Mariyappan Thangavelu |
(2) Devendra Jhajharia | Devendra Jhajharia, a javelin thrower, is the first para-athlete to receive the prestigious Padma Bhushan award in India for his exceptional contribution to sports. |
| Zemu Glacier is located in which state of India? (1) Uttarakhand (2) Himachal Pradesh (3) Sikkim (4) Arunachal Pradesh |
(3) Sikkim | Zemu Glacier is one of the largest glaciers in the Eastern Himalayas and is located in the state of Sikkim. |
| Who among the following is Chile’s first woman President? (1) Mary Robinson (2) Michelle Bachelet (3) Kim Campbell (4) Jennifer Shipley |
(2) Michelle Bachelet | Michelle Bachelet was elected as the first female President of Chile in 2006, marking a significant milestone in the country’s political history. |
| Which organization developed and launched the "Ugram" Indigenous Assault Rifle for the armed forces? (1) ISRO (2) BEL (3) HAL (4) DRDO |
(4) DRDO | DRDO (Defence Research and Development Organisation) developed the Ugram Indigenous Assault Rifle, which is designed for use by the Indian Armed Forces. |
| Which of the following substances is a bad conductor of electricity? (1) Diamond (2) Gold (3) Silver (4) Graphite |
(1) Diamond | Diamond is a poor conductor of electricity, unlike graphite, which conducts electricity due to free-moving electrons within its structure. |
| Which of the following diseases is caused due to the deficiency of proteins? (1) Arthritis (2) Kwashiorkor (3) Goitre (4) Night Blindness |
(2) Kwashiorkor | Kwashiorkor is caused by a severe deficiency of proteins in the diet, especially affecting children in developing regions. |
| Match List-I with List-II: List-I (Navy Institution) List-II (Place) (A) INS Chilka (I) Odisha (B) INS Hansa (II) Goa (C) INS Satavahana (III) Andhra Pradesh (D) INS Garuda (IV) Kerala Options: (1) (A)-(III), (B)-(I), (C)-(II), (D)-(IV) (2) (A)-(I), (B)-(IV), (C)-(II), (D)-(III) (3) (A)-(IV), (B)-(I), (C)-(III), (D)-(II) (4) (A)-(IV), (B)-(I), (C)-(II), (D)-(III) |
(4) (A)-(IV), (B)-(I), (C)-(II), (D)-(III) | INS Chilka is located in Odisha, INS Hansa is in Goa, INS Satavahana is in Andhra Pradesh, and INS Garuda is in Kerala. |
| DRDO has conducted the first successful flight test of Agni-5 missile equipped with MIRV technology. What is the full form of MIRV? (1) Multiple Independently Targetable Re-Entry Vehicle (2) Mission India Target Re-Entry Vehicle (3) Multiple Independently Technology Re-Entry Vehicle (4) Multiple Indirect Targetable Re-Entry Vehicle |
(1) Multiple Independently Targetable Re-Entry Vehicle | MIRV technology allows a missile to carry multiple warheads, each of which can be aimed at a different target. |
| Which Indian has won the “Ramon Magsaysay Award-2023”? (1) Korvi Rakshand (2) Ashwini Kumar (3) Dipti Ranjan Sahoo (4) Dr. Ravi Kannan R. |
(4) Dr. Ravi Kannan R. | Dr. Ravi Kannan R. was honored with the prestigious Ramon Magsaysay Award in 2023 for his outstanding contributions to healthcare in India. |
| Who has been appointed the Chairman of the 16th Finance Commission of India? (1) Ajay Narayan Jha (2) Smt. Annie George Mathew (3) Pradip Kumar Mohanty (4) Dr. Arvind Panagariya |
(3) Pradip Kumar Mohanty | Pradip Kumar Mohanty has been appointed as the Chairman of the 16th Finance Commission of India. |
| Sri Ranganathaswamy Temple, which is situated in Tamil Nadu, is dedicated to which deity? (1) Lord Shiva (2) Lord Vishnu (3) Goddess Durga (4) Goddess Lakshmi |
(2) Lord Vishnu | Sri Ranganathaswamy Temple is dedicated to Lord Vishnu and is one of the largest functioning Hindu temples in the world. |
| The Election Commission of India gets the power to conduct elections from which of the following articles? (1) Article 324 (2) Article 280 (3) Article 264 (4) Article 26 |
(1) Article 324 | Article 324 empowers the Election Commission to conduct free and fair elections in India. |
| Match List-I with List-II: List-I (Centre of Handicraft): (A) Mon (B) Nalbari (C) Pasighat (D) Tura List-II (State): (I) Nagaland (II) Assam (III) Arunachal Pradesh (IV) Meghalaya Options: (1) (A)-(IV), (B)-(III), (C)-(I), (D)-(II) (2) (A)-(I), (B)-(III), (C)-(IV), (D)-(II) (3) (A)-(IV), (B)-(III), (C)-(II), (D)-(I) (4) (A)-(I), (B)-(II), (C)-(IV), (D)-(III) |
(1) (A)-(IV), (B)-(III), (C)-(I), (D)-(II) | Mon is in Nagaland, Nalbari is in Assam, Pasighat is in Arunachal Pradesh, and Tura is in Meghalaya. |
| In which state is “Amchang Wildlife Sanctuary” located? (1) Assam (2) Rajasthan (3) Odisha (4) Manipur |
(1) Assam | Amchang Wildlife Sanctuary is located in Assam, known for its rich biodiversity and wildlife population, especially elephants. |
| India’s first 3D-printed Post Office has been inaugurated in: (1) Guwahati (2) Kolkata (3) Mumbai (4) Bengaluru |
(4) Bengaluru | India’s first 3D-printed post office was inaugurated in Bengaluru, setting a milestone in infrastructure development. |
| What should come in the place of the question mark (?) in the following alphanumeric series? A1X, B4P, E25J, J100F, ? (1) O289D (2) O225E (3) Q289D (4) Q225E |
(3) Q289D | The pattern involves increasing both letters and numbers systematically. For example, letters follow A, B, E, J, and then Q, while the numbers increase by the square of consecutive integers. |
| In the given analogy, choose the word which will replace the question mark: NEGI : MVTR :: SING : ? (1) TRNS (2) TRNT (3) FRMT (4) HRMT |
(2) TRNT | The pattern involves a shift in the letters following a reverse order coding system. So, NEGI relates to MVTR just as SING relates to TRNT. |
| In a certain code language, ‘ki ru pi’ means ‘nobody like cruel’, ‘ki mi cha’ means ‘king was cruel’ and ‘ru pi cha’ means ‘nobody like king’. What is the code for ‘was’ in the given code language? (1) ki (2) mi (3) cha (4) ru |
(2) mi | By eliminating common words across the three phrases, ‘mi’ represents ‘was’ in the code language. |
| Read the following information carefully to choose the best option for the question: ‘P % Q’ means that ‘P is the sister of Q’. ‘P + Q’ means that ‘P is the son of Q’. ‘P × Q’ means that ‘P is the husband of Q’. ‘P − Q’ means that ‘P is the brother of Q’. Which of the following means ‘A is the son-in-law of G’? (1) A × U + S × G (2) A + S % U × G (3) A − S + U × G (4) A × U % S + G |
(1) A × U + S × G | - A × U means A is the husband of U. - U + S means U is the son of S. - S × G means S is the husband of G. Therefore, A is the son-in-law of G. |
| If 26th January, 2020 was a Sunday, then what day of the week was it on 16th March of that year? (1) Sunday (2) Monday (3) Tuesday (4) Wednesday |
(3) Tuesday | The difference between 26th January and 16th March is 50 days. Dividing 50 by 7 gives a remainder of 2, so the day moves two days forward from Sunday, making it Tuesday. |
| What will be the measurement of the angle made by the hour and minute hands of a clock when the time is ‘quarter past 3’? (1) \(6 \frac{1}{2}\) (2) 10 (3) \(7 \frac{1}{2}\) (4) \(8 \frac{1}{2}\) |
(4) \(8 \frac{1}{2}\) | At 3:15, the minute hand is on the 3, while the hour hand is slightly ahead of 3. Using the formula: \(|30H - 5.5M|\), we get \(|30(3) - 5.5(15)| = |90 - 82.5| = 7.5\), rounded to \(8 \frac{1}{2}\). |
| If in a certain code language, ‘MERCURY’ is coded as ‘NGUGZXF’, then how will ‘ENTANGLE’ be coded in the same code language? (1) FPXFSMSM (2) FPWESMSM (3) FPWESNSN (4) FPWFTNSM |
(2) FPWESMSM | The pattern in coding is based on shifting letters by a specific number of places in the alphabet. Applying the same rule to ‘ENTANGLE’, the code becomes FPWESMSM. |
| The problem given below consists of a question and two statements numbered I and II. You have to decide whether the data provided in the statements are sufficient to answer the question. How many sisters does Sunny have? I. Sunny is the only son of his parents. II. Sunny’s parents have three children. (1) Only statement I alone is sufficient to answer the question. (2) Only statement II alone is sufficient to answer the question. (3) Statements I and II together are sufficient to answer the question. (4) Either statement I or II alone is sufficient to answer the question. |
(3) Statements I and II together are sufficient to answer the question. | Since Sunny is the only son and his parents have three children, the remaining two children must be his sisters. |
| A boy leaves his house. He travels 6 km towards South, then travels 8 km towards West and further travels 9 km towards South. How far and in which direction is he from his house now? (1) 13 km, South West (2) 17 km, South West (3) 17 km, North West (4) 13 km, West |
(2) 17 km, South West |
|
| Find out which of the answer figures completes the figure matrix: | (3) |
|
| A clock seen through a mirror shows ‘quarter to seven’. What is the correct time shown by the clock? (1) 6:15 (2) 6:17 (3) 5:17 (4) 5:15 |
(4) 5:15 |
|
| The sequence of folding a piece of paper and the manner in which the folded paper has been cut is shown in the following figures. How would this paper look when unfolded? | (2) |
|
| Find out the missing (?) number and letter: | (3) 61 and K |
|
| What will be the next number of the series? 3, 6, 10.5, 17, 26, ? (1) 31 (2) 38 (3) 40 (4) 41 |
37.5 (not in options) | 1. Calculate the differences between consecutive terms: 3, 4.5, 6.5, 9. 2. The next difference is 11.5, so add 11.5 to 26: 26 + 11.5 = 37.5 |
| In a class of 40 students, Anjali’s rank is thrice that of Anita. There are 4 students who have ranks worse than that of Anjali. Anita’s rank in the class is: (1) 9th (2) 10th (3) 18th (4) 12th |
(4) 12th | 1. Let Anita’s rank be x. Then Anjali’s rank is 3x. 2. Since there are 4 students below Anjali, 3x = 36. 3. Solving x: x = 36 / 3 = 12 |
| Six people E, H, K, M, S and U are seated in a circle facing the centre. U and H are immediate neighbours of M. E is the only person sitting between K and S. H is to the immediate right of S. Who is to the immediate right of U? (1) M (2) E (3) K (4) S |
(2) E | 1. From the clues, arrange the seating as M – U – E – K – S – H. 2. Therefore, the person to the immediate right of U is E. |
| Find out which of the answer figures from the options can be formed using all the pieces given in the problem figure. Options: (1) Option 1 (2) Option 2 (3) Option 3 (4) Option 4 |
(4) Option 4 | 1. The problem figure has two eyes with dots, curved lines, and a heart shape at the bottom. 2. Only Option (4) includes all these elements exactly as they appear in the problem figure. |
| Read the given statements and conclusions carefully assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts. Decide which of the given conclusion(s) logically follows from the statements. Statements: - No keyboard is a mouse. - All mouses are computers. - All computers are laptops. Conclusions: 1. All mouses are laptops. 2. All computers can never be keyboards. Options: (1) Only conclusion I follows (2) Only conclusion II follows (3) Neither conclusion I nor II follows (4) Both conclusions I and II follow |
(4) Both conclusions I and II follow | 1. Conclusion I and II logically follow based on the statements provided. |
| What will be the next number of the series 3, 6, 10.5, 17, 26, ? (1) 31 (2) 38 (3) 40 (4) 41 |
37.5 (not in options) |
26 + 11.5 = 37.5
|
| In a class of 40 students, Anjali’s rank is thrice that of Anita. There are 4 students who have ranks worse than that of Anjali. Anita’s rank in the class is: (1) 9th (2) 10th (3) 18th (4) 12th |
(4) 12th |
|
| Six people E, H, K, M, S, and U are seated in a circle facing the centre. U and H are immediate neighbours of M. E is the only person sitting between K and S. H is to the immediate right of S. Who is to the immediate right of U? (1) M (2) E (3) K (4) S |
(2) E |
|
| Simplify 24 ÷ 4 × 2 + 8 − 4 (1) 1 (2) 7 (3) 16 (4) 56 |
(3) 16 |
|
| The present age of Harish is 8 times the sum of the ages of his two sons. After 8 years, his age will be twice the sum of the ages of his sons. What is Harish’s present age? (1) 31 (2) 32 (3) 33 (4) 34 |
(2) 32 |
|
| In a class of 40 students, the ratio of boys and girls is 3 : 2 and the average marks scored by boys is 42 and by girls is 46. Then the average marks scored by the whole class is: (1) 43.4 (2) 43.6 (3) 43.8 (4) 44 |
(2) 43.6 | 1. Let the number of boys be 3x and girls be 2x, where 3x + 2x = 40 ⇒ x = 8. 2. Then, boys = 24 and girls = 16. 3. Total marks for boys = 24 × 42 = 1008. 4. Total marks for girls = 16 × 46 = 736. 5. Average marks for the class: Average = (1008 + 736) / 40 = 43.6 |
| The sum of three numbers is 136. If the ratio between the first number and the second number is 2 : 3 and that between the second and the third number is 5 : 3, then the first number is: (1) 42 (2) 40 (3) 36 (4) 32 |
(2) 40 | 1. Let the three numbers be 2y, 3y, and 3z. 2. Since 3y = 5z, y = (5z) / 3. 3. Substitute in the sum equation: 2y + 3y + 3z = 136 ⇒ 10z / 3 + 3z = 1364. Solving gives z = 24 and y = 40, so the first number is 40. |
| An item is sold for Rs. 504 after allowing 20% discount and still a profit of 5% has been earned. The marked price is how much more than the cost price? (1) Rs. 120 (2) Rs. 135 (3) Rs. 150 (4) Rs. 160 |
(3) Rs. 150 | 1. Let the cost price be x. 2. Selling price after 5% profit is 1.05x = 504, so x = 504 / 1.05 = 480. 3. Marked price (before discount) is 504 / 0.8 = 630. 4. Difference between marked price and cost price is 630 - 480 = 150. |
| A certain sum becomes Rs. 2,356 in 3 years and Rs. 2,660 in 5 years on simple interest. The value of the sum is: (1) Rs. 1,800 (2) Rs. 1,880 (3) Rs. 1,900 (4) Rs. 1,980 |
(3) Rs. 1,900 | 1. Difference in interest over 2 years: 2,660 - 2,356 = 304. 2. Annual interest: 304 / 2 = 152. 3. Sum = 2,356 - (3 × 152) = 1,900. |
| In a square, lengths of the diagonals are (4k + 6) cm and (7k - 3) cm. The area of the square (in cm²) is: (1) 144 (2) 162 (3) 169 (4) 172 |
(2) 162 | 1. Equate the diagonals: 4k + 6 = 7k - 3. 2. Solving for k, find the diagonal and calculate area = diagonal² / 2. |
CUET Questions
1. A sample size of \(x\) is considered to be sufficient to hold the Central Limit Theorem (CLT). The value of \(x\) should be:
A sample size of \(x\) is considered to be sufficient to hold the Central Limit Theorem (CLT). The value of \(x\) should be:
- less than 20
- greater than or equal to 30
- less than 30
- sample size does not affect the CLT
2. The correct solution of \(-22 < 8x - 6 \leq 26\) is the interval:
The correct solution of \(-22 < 8x - 6 \leq 26\) is the interval:
- \([-2, 4]\)
- \((-2, 4]\)
- \((-2, 4)\)
- \([-2, 4)\)
3. Match List-I with List-II.List-I List-II (A) Confidence level (I) Percentage of all possible samples that can be expected to include the true population parameter (B) Significance level (III) The probability of making a wrong decision when the null hypothesis is true (C) Confidence interval (II) Range that could be expected to contain the population parameter of interest (D) Standard error (IV) The standard deviation of the sampling distribution of a statistic
Choose the correct answer from the options given below:
Match List-I with List-II.
| List-I | List-II |
|---|---|
| (A) Confidence level | (I) Percentage of all possible samples that can be expected to include the true population parameter |
| (B) Significance level | (III) The probability of making a wrong decision when the null hypothesis is true |
| (C) Confidence interval | (II) Range that could be expected to contain the population parameter of interest |
| (D) Standard error | (IV) The standard deviation of the sampling distribution of a statistic |
Choose the correct answer from the options given below:
- (A)-(I), (B)-(III), (C)-(II), (D)-(IV)
- (A)-(I), (B)-(III), (C)-(IV), (D)-(II)
- (A)-(I), (B)-(II), (C)-(IV), (D)-(III)
- (A)-(III), (B)-(IV), (C)-(I), (D)-(II)
4. David can row a boat in still water at the rate of 5 km/hr. He rowed in a river downstream to meet his friend. After returning back, he observed that the duration of the upstream journey was three times that of the downstream journey. The speed of the stream was:
David can row a boat in still water at the rate of 5 km/hr. He rowed in a river downstream to meet his friend. After returning back, he observed that the duration of the upstream journey was three times that of the downstream journey. The speed of the stream was:
- 2 km/hr
- 2.5 km/hr
- 3 km/hr
- 3.5 km/hr
5.
A furniture trader deals in tables and chairs. He has Rs. 75,000 to invest and a space to store at most 60 items. A table costs him Rs. 1,500 and a chair costs him Rs. 1,000. The trader earns a profit of Rs. 400 and Rs. 250 on a table and chair, respectively. Assuming that he can sell all the items that he can buy, which of the following is/are true for the above problem:
(A) Let the trader buy \( x \) tables and \( y \) chairs. Let \( Z \) denote the total profit. Thus, the mathematical formulation of the given problem is:
\[
Z = 400x + 250y,
\]
subject to constraints:
\[
x + y \leq 60, \quad 3x + 2y \leq 150, \quad x \geq 0, \quad y \geq 0.
\]
(B) The corner points of the feasible region are (0, 0), (50, 0), (30, 30), and (0, 60).
(C) Maximum profit is Rs. 19,500 when trader purchases 60 chairs only.
(D) Maximum profit is Rs. 20,000 when trader purchases 50 tables only.
Choose the correct answer from the options given below:
A furniture trader deals in tables and chairs. He has Rs. 75,000 to invest and a space to store at most 60 items. A table costs him Rs. 1,500 and a chair costs him Rs. 1,000. The trader earns a profit of Rs. 400 and Rs. 250 on a table and chair, respectively. Assuming that he can sell all the items that he can buy, which of the following is/are true for the above problem:
(A) Let the trader buy \( x \) tables and \( y \) chairs. Let \( Z \) denote the total profit. Thus, the mathematical formulation of the given problem is:
\[ Z = 400x + 250y, \]
subject to constraints:
\[ x + y \leq 60, \quad 3x + 2y \leq 150, \quad x \geq 0, \quad y \geq 0. \]
(B) The corner points of the feasible region are (0, 0), (50, 0), (30, 30), and (0, 60).
(C) Maximum profit is Rs. 19,500 when trader purchases 60 chairs only.
(D) Maximum profit is Rs. 20,000 when trader purchases 50 tables only.
Choose the correct answer from the options given below:
- (A), (B), and (C) only
- (A), (B), and (D) only
- (B) and (C) only
- (B), (C), and (D) only
6. In a series of 4 trials, the probability of getting two successes is equal to the probability of getting three successes. The probability of getting at least one success is:
In a series of 4 trials, the probability of getting two successes is equal to the probability of getting three successes. The probability of getting at least one success is:
- \(\frac{609}{625}\)
- \(\frac{16}{625}\)
- \(\frac{513}{625}\)
- \(\frac{112}{625}\)
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