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Anita had to do a multiplication. Instead of taking 35 as one of the multipliers, she took 53. As a result, the product went up by 540. What is the new product?
- a)1050
- b)540
- c)1440
- d)1590
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Anita had to do a multiplication. Instead of taking 35 as one of the m...
Quotient of 1982/12 = 165, remainder = 2
Quotient of 165/12 = 13, remainder = 9
Quotient of 13/12 = 1, remainder = 1
Remainder of 1/12 = 1
So, the required number in base 12 = 1192
Hence the answer is Option C.
This question is part of UPSC exam. View all CAT courses
Most Upvoted Answer
Anita had to do a multiplication. Instead of taking 35 as one of the m...
Difference between 53-35=18
And as the product went up by 540
Therefore, the number to be multiplied by 18 to get 540 is 30 i.e. 18*30=540
Hence, 30 is to be multiplied by 35 instead of 53
so, 30*35= 1050
30*53=1590
And as the product went up by 540
Therefore, the number to be multiplied by 18 to get 540 is 30 i.e. 18*30=540
Hence, 30 is to be multiplied by 35 instead of 53
so, 30*35= 1050
30*53=1590
Hence Option D is correct
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Community Answer
Anita had to do a multiplication. Instead of taking 35 as one of the m...
To solve this problem, let's assume the original multiplication was:
x * 35 = y
Anita mistakenly took 53 instead of 35 as one of the multipliers, so the new multiplication is:
x * 53 = y + 540
Now, we need to find the new value of y.
Subtracting the original equation from the new equation, we get:
(x * 53) - (x * 35) = (y + 540) - y
Simplifying this equation, we have:
x * (53 - 35) = 540
x * 18 = 540
Dividing both sides of the equation by 18, we find:
x = 30
Now, we can substitute this value of x into either of the original equations to find the value of y.
Using the first equation, we have:
30 * 35 = y
y = 1050
Therefore, the new product is 1050 + 540 = 1590.
So, the correct answer is option D) 1590.
x * 35 = y
Anita mistakenly took 53 instead of 35 as one of the multipliers, so the new multiplication is:
x * 53 = y + 540
Now, we need to find the new value of y.
Subtracting the original equation from the new equation, we get:
(x * 53) - (x * 35) = (y + 540) - y
Simplifying this equation, we have:
x * (53 - 35) = 540
x * 18 = 540
Dividing both sides of the equation by 18, we find:
x = 30
Now, we can substitute this value of x into either of the original equations to find the value of y.
Using the first equation, we have:
30 * 35 = y
y = 1050
Therefore, the new product is 1050 + 540 = 1590.
So, the correct answer is option D) 1590.
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Anita had to do a multiplication. Instead of taking 35 as one of the multipliers, she took 53. As a result, the product went up by 540. What is the new product?a)1050b)540c)1440d)1590Correct answer is option 'D'. Can you explain this answer?
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Anita had to do a multiplication. Instead of taking 35 as one of the multipliers, she took 53. As a result, the product went up by 540. What is the new product?a)1050b)540c)1440d)1590Correct answer is option 'D'. 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 Anita had to do a multiplication. Instead of taking 35 as one of the multipliers, she took 53. As a result, the product went up by 540. What is the new product?a)1050b)540c)1440d)1590Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Anita had to do a multiplication. Instead of taking 35 as one of the multipliers, she took 53. As a result, the product went up by 540. What is the new product?a)1050b)540c)1440d)1590Correct answer is option 'D'. Can you explain this answer?.
Anita had to do a multiplication. Instead of taking 35 as one of the multipliers, she took 53. As a result, the product went up by 540. What is the new product?a)1050b)540c)1440d)1590Correct answer is option 'D'. 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 Anita had to do a multiplication. Instead of taking 35 as one of the multipliers, she took 53. As a result, the product went up by 540. What is the new product?a)1050b)540c)1440d)1590Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Anita had to do a multiplication. Instead of taking 35 as one of the multipliers, she took 53. As a result, the product went up by 540. What is the new product?a)1050b)540c)1440d)1590Correct answer is option 'D'. Can you explain this answer?.
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