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Read the following information carefully and answer the questions based on it.
On a particular day, certain number of people visited mall – either mall P or mall Q. Each person who visited buys either mobile or laptop. The given below chart shows the information about the number of person.
Note:
I. Sum of number of females buy mobiles from mall P and males buy laptops from mall Q is 9000
II. Number of male buys mobiles from mall Q is 2500
If M = (C/4000), then find the unit digit of (M) 129.
  • a)
    1
  • b)
    3
  • c)
    9
  • d)
    7
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Read the following information carefully and answer the questions bas...
Total number of persons = (3.5a + 13000)
Number of people visited mall P = (2.4a + 6000)
So, number of people visited mall Q = B = (3.5a + 13000) - (2.4a + 6000)
= (1.1a + 7000)
Number of persons buys laptops from Mall P = (1.5a + 2d/3)
Number of persons buys mobiles from mall P = C = (2.4a + 6000) – (1.5a + 2d/3) = (0.9a – 2d/3 + 6000)
Number of males buys mobiles from mall P = (2d – 500)
Number of females buys mobiles from Mall P = (0.9a – 2d/3 + 6000) – (2d – 500) = (0.9a – 8d/3 + 6500)
Number of males buys laptops from mall P = (1.4a – 1500)
Number of females buys laptops from mall P = (1.5a + 2d/3) – (1.4a – 1500) = (0.1a + 2d/3 + 1500)
Number of persons buys laptops from mall Q = (a + d – 1000)
Number of person buys mobiles from mall Q = E = (1.1a + 7000) – (a + d – 1000) = (0.1a – d + 8000)
Number of females buys mobiles from shop Q = (a/4 – 500)
Number of males buys mobiles from shop Q = (0.1a – d + 8000) – (a/4 – 500) = (8500 – d – 0.15a)
Number of males buys laptops from mall Q = (a + d – 1000) – (1.6d + 800) = (a – 0.6d – 1800)
Sum of number of female buys mobiles from mall P and males buys laptops from mall Q is 9000
So, (0.9a – 8d/3 + 6500) + (a – 0.6d – 1800) = 9000
1.9a – 49d/15 = 4300……………. (1)
Also, Number of males buys mobiles from mall Q = 2500
So, (8500 – d – 0.15a) = 2500
So, 0.15a + d = 6000………….. (2)
On solving both equations we get,
2.39a = 23900
So, value of a = 10000
Value of d = 4500
Now we can find all the data
Answer: B
Value of C = 12000
Value of M = 12000/4000 = 3
So we need to calculate the unit digit if (3)129
31 = 3
32 = 9
33 = 7
34 = 1
35 = 3
After every 4 power, unit digit repeats itself, so
129/4 = remainder is 1
So required unit digit = 31 = 3
Hence, answer is option B
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Read the following information carefully and answer the questions based on it.On a particular day, certain number of people visited mall – either mall P or mall Q. Each person who visited buys either mobile or laptop. The given below chart shows the information about the number of person.Note:I. Sum of number of females buy mobiles from mall P and males buy laptops from mall Q is 9000II. Number of male buys mobiles from mall Q is 2500If M = (C/4000), then find the unit digit of (M) 129.a)1b)3c)9d)7e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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