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The units digit of every prime number (o...

The units digit of every prime number (other than 2 and 5) must be necessarily :

A

1,3 or 5

B

1,3,7 or 9

C

7 or 9

D

1 or 7

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The correct Answer is:
B
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Study the given statements carefully. State T for true and 'F' for false and select the correct option. (i) If a number is a factor of each of the given two numbers, then it must be factor of their a difference. (ii) If a number is divisible by another number, then it must be divisible by each of the factors of that number. (iii) If a number is divisible by another number, then it is also divisible by all the multiples of that number. (iv)No prime number other than 2 is even but every odd number is necessarily a prime number.

(ii) Every prime number except 2 is an odd number.

The units digit of the square of a number and the units digits of the cube of the number are equal to the units digits of the number .How many values are possibles for the units digits of such number?

Property 6 The units digit of the square of a natural number is the units digit of the square of the digit at units place of the given natural number.

Knowledge Check

  • If a number is divisible by both 11 and 13, then it must be necessarily :

    A
    divisible by (11 + 13)
    B
    divisible by (13 - 11)
    C
    divisible by `(11 xx 13)`
    D
    429

  • The units digit of the square of a number and the units digits of the cube of the number are equal to the units digits of the number .How many values are possibles for the units digits of such number?

    A
    2
    B
    4
    C
    5
    D
    3

  • The units digit of the square of a number and the units digit of the cube of the number are equal to the units digit of the number. How many values are possible for the units digits of such numbers?

    A
    2
    B
    4
    C
    5
    D
    3
    • S CHAND IIT JEE FOUNDATION-NUMBERS-QUESTION BANK -1
    1. The units digit of every prime number (other than 2 and 5) must be nec...

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    2. Consider the following statements A.The sum of two prime numbers is ...

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    3. If N,(N+2) and (N+4) are prime numbers, then the number of possible so...

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    4. Let x and y be positive integers such that x is prime and y is composi...

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    5. Consider the following statements: The number 23 is A. a prime num...

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    6. What is the units digit of the product of all prime numbers between 1 ...

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    7. For what value fo n are 2^(n)-1 and 2^(n)+1 prime?

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    8. In a six digit number, the sum of the digits in the even places is 9 a...

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    9. Which of the following numbers is divisible by 15?

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    10. The difference of a number consisting of two digits and the number ...

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    11. The number 89715938* is divisible by 4. The unknown non-zero digit ...

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    12. An integer is divisible by 16 if and only if its last X digits are ...

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    13. (4^(61)+4^(62)+4^(63)+4^(64)) is divisible by (a) 3 (b) 11 (c) 1...

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    14. If n is any natural number then n^(2)(n^(2)-1) is always divisible

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    15. The sum of all possible two digit numbers formed from three different ...

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    16. A 6-digit number is formed by repeating a 3-digit number: for examp...

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    17. The smallest number to be added to 1000, so that 45 divides the sum ex...

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    18. In the product 459 xx 46 xx 28* xx 484, the digit in the unit place is...

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    19. How many of the following numbers are divisible by 3 but not by 9? ...

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    20. When a number is divided by 893 , the remaineder is 193 . What will be...

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