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An intelligence agency forms a code of two distinct digits selected from 0, 1,... ,9 such that the first digit of the code is non-zero. The code, handwritten on a slip, however, can potentially create confusion when read upside down, e.g., the code 91 may appear as 16.
How many codes are there for which no such confusion can arise?
a)80
b)63
c)69
d)None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
An intelligence agency forms a code of two distinct digits selected fr...
The answer is 69.
The available digits are 0, 1, 2,...., 9. The first digit can be chosen in 9 ways (0 not acceptable), the second digit can be accepted in 9 ways (digit repetition not allowed). Thus, the code can be made in 9 x 9 = 81 ways.
Now, there are only 4 digits which can create confusion 1, 6, 8, 9. The same can be given in the following ways 
Total number of ways confusion can arise
= 4 x 3 = 12
Thus, the ways in which no such confusion arise = 81-12 =69
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Most Upvoted Answer
An intelligence agency forms a code of two distinct digits selected fr...
Let's 2 digit can be from0 to 99= 100 CODES....
I had counted 00 as a code too....
Less Pairs of 1,6,8,9,0 (confusing numbers)= 20....
Less pairs of repeated confusing number = 5.....
Less other number starting from 0 (02,03...) =5....
Correct answer is 70
Community Answer
An intelligence agency forms a code of two distinct digits selected fr...
9*9=81 is the total number of 2 digit numbers possible with distinct digits. 1,6,8,9 cause confusion. so 4*3=12 should cause confusion.but 69 and 96 read same upside down. so the answer should be 81-12+2=71. but the app tells me the answer is 69
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An intelligence agency forms a code of two distinct digits selected from 0, 1,... ,9 such that the first digit of the code is non-zero. The code, handwritten on a slip, however, can potentially create confusion when read upside down, e.g., the code 91 may appear as 16. How many codes are there for which no such confusion can arise?a)80 b)63c)69 d)None of theseCorrect answer is option 'C'. Can you explain this answer?
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An intelligence agency forms a code of two distinct digits selected from 0, 1,... ,9 such that the first digit of the code is non-zero. The code, handwritten on a slip, however, can potentially create confusion when read upside down, e.g., the code 91 may appear as 16. How many codes are there for which no such confusion can arise?a)80 b)63c)69 d)None of theseCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about An intelligence agency forms a code of two distinct digits selected from 0, 1,... ,9 such that the first digit of the code is non-zero. The code, handwritten on a slip, however, can potentially create confusion when read upside down, e.g., the code 91 may appear as 16. How many codes are there for which no such confusion can arise?a)80 b)63c)69 d)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An intelligence agency forms a code of two distinct digits selected from 0, 1,... ,9 such that the first digit of the code is non-zero. The code, handwritten on a slip, however, can potentially create confusion when read upside down, e.g., the code 91 may appear as 16. How many codes are there for which no such confusion can arise?a)80 b)63c)69 d)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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