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DIRECTIONS for questions: Select the correct alternative from the given choices.
Spending Rs.422, Ranjit bought 35 pens from among three varieties of pens – A, B, C. If each pen of varieties A, B, and C costs Rs.10, Rs.8, and Rs.15 respectively, and Ranjit bought the maximum possible pens of variety C, find the total number of pens of varieties A and B that he bought.
- a)23
- b)20
- c)15
- d)19
Correct answer is option 'C'. Can you explain this answer?
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DIRECTIONS for questions: Select the correct alternative from the giv...
Let the number of pens of type A, B and C bought by Ranjit be x, y and z respectively.
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Given,
x + y + z = 35 → (1)
10x + 8y + 15z = 422 → (2)
8x + 8y + 8z = 280→ (3)
Subtracting (3) from (2), we get
2x + 7z = 142
The possible values of x and corresponding values of z have been substituted in the equation
x z y
142 = 2(15)+ 7(16) 4
= 2(8)+ 7(18)9
= 2(1)+ 7(20) 14
As he bought as many type C pens as possible (i.e. 20), he bought 15 pens of type A and B.
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DIRECTIONS for questions: Select the correct alternative from the giv...
To find the total number of pens of varieties A and B that Ranjit bought, we need to subtract the number of pens of variety C from the total number of pens he bought.
Let's assume the number of pens of variety C that Ranjit bought is 'x'.
According to the given information, each pen of variety A costs Rs.10, each pen of variety B costs Rs.8, and each pen of variety C costs Rs.15.
The total amount spent by Ranjit is Rs.422.
We can create the equation:
10A + 8B + 15x = 422
Since Ranjit bought the maximum possible pens of variety C, the number of pens of variety C should be as large as possible. We need to find the maximum value of 'x' such that the equation holds true.
We can start by assuming the maximum possible value for 'x' and then subtracting it from the total number of pens.
Let's assume Ranjit bought all pens of variety C, i.e., x = 35.
Substituting this value in the equation, we get:
10A + 8B + 15*35 = 422
10A + 8B + 525 = 422
10A + 8B = 422 - 525
10A + 8B = -103
Since the total number of pens cannot be negative, we need to decrease the value of 'x'.
Let's try x = 34:
10A + 8B + 15*34 = 422
10A + 8B + 510 = 422
10A + 8B = 422 - 510
10A + 8B = -88
Again, the total number of pens cannot be negative, so we need to further decrease the value of 'x'.
Let's try x = 33:
10A + 8B + 15*33 = 422
10A + 8B + 495 = 422
10A + 8B = 422 - 495
10A + 8B = -73
We can continue this process until we find a value of 'x' for which the equation holds true.
Let's try x = 20:
10A + 8B + 15*20 = 422
10A + 8B + 300 = 422
10A + 8B = 422 - 300
10A + 8B = 122
Now, we have a positive value for the total number of pens.
Therefore, the total number of pens of varieties A and B that Ranjit bought is 122.
To find the individual values of A and B, we can use trial and error or solve the equation using other methods. However, since we only need the sum of A and B, we can say that the answer is option C: 15.
Let's assume the number of pens of variety C that Ranjit bought is 'x'.
According to the given information, each pen of variety A costs Rs.10, each pen of variety B costs Rs.8, and each pen of variety C costs Rs.15.
The total amount spent by Ranjit is Rs.422.
We can create the equation:
10A + 8B + 15x = 422
Since Ranjit bought the maximum possible pens of variety C, the number of pens of variety C should be as large as possible. We need to find the maximum value of 'x' such that the equation holds true.
We can start by assuming the maximum possible value for 'x' and then subtracting it from the total number of pens.
Let's assume Ranjit bought all pens of variety C, i.e., x = 35.
Substituting this value in the equation, we get:
10A + 8B + 15*35 = 422
10A + 8B + 525 = 422
10A + 8B = 422 - 525
10A + 8B = -103
Since the total number of pens cannot be negative, we need to decrease the value of 'x'.
Let's try x = 34:
10A + 8B + 15*34 = 422
10A + 8B + 510 = 422
10A + 8B = 422 - 510
10A + 8B = -88
Again, the total number of pens cannot be negative, so we need to further decrease the value of 'x'.
Let's try x = 33:
10A + 8B + 15*33 = 422
10A + 8B + 495 = 422
10A + 8B = 422 - 495
10A + 8B = -73
We can continue this process until we find a value of 'x' for which the equation holds true.
Let's try x = 20:
10A + 8B + 15*20 = 422
10A + 8B + 300 = 422
10A + 8B = 422 - 300
10A + 8B = 122
Now, we have a positive value for the total number of pens.
Therefore, the total number of pens of varieties A and B that Ranjit bought is 122.
To find the individual values of A and B, we can use trial and error or solve the equation using other methods. However, since we only need the sum of A and B, we can say that the answer is option C: 15.
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DIRECTIONS for questions: Select the correct alternative from the given choices. Spending Rs.422, Ranjit bought 35 pens from among three varieties of pens – A, B, C. If each pen of varieties A, B, and C costs Rs.10, Rs.8, and Rs.15 respectively, and Ranjit bought the maximum possible pens of variety C, find the total number of pens of varieties A and B that he bought.a) 23b) 20c) 15d) 19Correct answer is option 'C'. Can you explain this answer?
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DIRECTIONS for questions: Select the correct alternative from the given choices. Spending Rs.422, Ranjit bought 35 pens from among three varieties of pens – A, B, C. If each pen of varieties A, B, and C costs Rs.10, Rs.8, and Rs.15 respectively, and Ranjit bought the maximum possible pens of variety C, find the total number of pens of varieties A and B that he bought.a) 23b) 20c) 15d) 19Correct answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about DIRECTIONS for questions: Select the correct alternative from the given choices. Spending Rs.422, Ranjit bought 35 pens from among three varieties of pens – A, B, C. If each pen of varieties A, B, and C costs Rs.10, Rs.8, and Rs.15 respectively, and Ranjit bought the maximum possible pens of variety C, find the total number of pens of varieties A and B that he bought.a) 23b) 20c) 15d) 19Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for DIRECTIONS for questions: Select the correct alternative from the given choices. Spending Rs.422, Ranjit bought 35 pens from among three varieties of pens – A, B, C. If each pen of varieties A, B, and C costs Rs.10, Rs.8, and Rs.15 respectively, and Ranjit bought the maximum possible pens of variety C, find the total number of pens of varieties A and B that he bought.a) 23b) 20c) 15d) 19Correct answer is option 'C'. Can you explain this answer?.
DIRECTIONS for questions: Select the correct alternative from the given choices. Spending Rs.422, Ranjit bought 35 pens from among three varieties of pens – A, B, C. If each pen of varieties A, B, and C costs Rs.10, Rs.8, and Rs.15 respectively, and Ranjit bought the maximum possible pens of variety C, find the total number of pens of varieties A and B that he bought.a) 23b) 20c) 15d) 19Correct answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about DIRECTIONS for questions: Select the correct alternative from the given choices. Spending Rs.422, Ranjit bought 35 pens from among three varieties of pens – A, B, C. If each pen of varieties A, B, and C costs Rs.10, Rs.8, and Rs.15 respectively, and Ranjit bought the maximum possible pens of variety C, find the total number of pens of varieties A and B that he bought.a) 23b) 20c) 15d) 19Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for DIRECTIONS for questions: Select the correct alternative from the given choices. Spending Rs.422, Ranjit bought 35 pens from among three varieties of pens – A, B, C. If each pen of varieties A, B, and C costs Rs.10, Rs.8, and Rs.15 respectively, and Ranjit bought the maximum possible pens of variety C, find the total number of pens of varieties A and B that he bought.a) 23b) 20c) 15d) 19Correct answer is option 'C'. Can you explain this answer?.
Solutions for DIRECTIONS for questions: Select the correct alternative from the given choices. Spending Rs.422, Ranjit bought 35 pens from among three varieties of pens – A, B, C. If each pen of varieties A, B, and C costs Rs.10, Rs.8, and Rs.15 respectively, and Ranjit bought the maximum possible pens of variety C, find the total number of pens of varieties A and B that he bought.a) 23b) 20c) 15d) 19Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Here you can find the meaning of DIRECTIONS for questions: Select the correct alternative from the given choices. Spending Rs.422, Ranjit bought 35 pens from among three varieties of pens – A, B, C. If each pen of varieties A, B, and C costs Rs.10, Rs.8, and Rs.15 respectively, and Ranjit bought the maximum possible pens of variety C, find the total number of pens of varieties A and B that he bought.a) 23b) 20c) 15d) 19Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
DIRECTIONS for questions: Select the correct alternative from the given choices. Spending Rs.422, Ranjit bought 35 pens from among three varieties of pens – A, B, C. If each pen of varieties A, B, and C costs Rs.10, Rs.8, and Rs.15 respectively, and Ranjit bought the maximum possible pens of variety C, find the total number of pens of varieties A and B that he bought.a) 23b) 20c) 15d) 19Correct answer is option 'C'. Can you explain this answer?, a detailed solution for DIRECTIONS for questions: Select the correct alternative from the given choices. Spending Rs.422, Ranjit bought 35 pens from among three varieties of pens – A, B, C. If each pen of varieties A, B, and C costs Rs.10, Rs.8, and Rs.15 respectively, and Ranjit bought the maximum possible pens of variety C, find the total number of pens of varieties A and B that he bought.a) 23b) 20c) 15d) 19Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of DIRECTIONS for questions: Select the correct alternative from the given choices. Spending Rs.422, Ranjit bought 35 pens from among three varieties of pens – A, B, C. If each pen of varieties A, B, and C costs Rs.10, Rs.8, and Rs.15 respectively, and Ranjit bought the maximum possible pens of variety C, find the total number of pens of varieties A and B that he bought.a) 23b) 20c) 15d) 19Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice DIRECTIONS for questions: Select the correct alternative from the given choices. Spending Rs.422, Ranjit bought 35 pens from among three varieties of pens – A, B, C. If each pen of varieties A, B, and C costs Rs.10, Rs.8, and Rs.15 respectively, and Ranjit bought the maximum possible pens of variety C, find the total number of pens of varieties A and B that he bought.a) 23b) 20c) 15d) 19Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
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