Question : Let $a b, a \neq b$, is a 2-digit prime number such that ba is also a prime number. The sum of all such numbers is:
Option 1: 407
Option 2: 418
Option 3: 396
Option 4: 374
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Correct Answer: 418
Solution : Given, ab is a 2-digit prime number a ≠ b The list of such prime numbers is 13, 31, 17, 71, 37, 73, 79, 97. The Sum of these numbers = 13 + 31 + 17 + 71 + 37 + 73 + 79 + 97 = 418 Hence, the correct answer is 418.
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Question : In a 7-digit number 89476*2, what is the smallest possible value of * such that the number is divisible by 8?
Option 1: 2
Option 2: 1
Option 3: 4
Option 4: 3
Question : What is the sum of all prime numbers between 60 and 80?
Option 1: 272
Option 2: 284
Option 3: 351
Option 4: 414
Question : A four-digit number abba is divisible by 4 and a < b. How many such numbers are there?
Option 1: 10
Option 2: 8
Option 3: 12
Option 4: 6
Question : A 6-digit number has digits as consecutive natural numbers. The number is always divisible by
Option 1: 4
Option 2: 5
Option 3: 2
Question : In a two-digit number, its unit digit exceeds its tens digit by 2 and the product of the given number and the sum of its digits is equal to 460. The number is:
Option 1: 48
Option 2: 64
Option 3: 46
Option 4: 36
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