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Standard X

Mathematics

Method of Finding LCM

State T for t...

Question

State T for true and for false.
(i) If an even number is divided by 2, the quotient is always odd.
(ii) All even numbers are composite numbers.
(iii) The LCM of two co-prime numbers cannot be equal to their product.
(iv) Every number is a factor of itself.
(i) (ii) (iii) (iv)

T T F F

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F F F T

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T F T T

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F F T T

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Solution

The correct option is C F F F T
(i) If an even number is divided by 2, the quotient is not always odd.
(ii) 2 is an even prime number.
(iii) The LCM of two co-prime numbers is always equal to their product.
(iv) Every number is a factor of itself.

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Similar questions

State whether the following statements are True or False:

(a) The sum of three odd numbers is even.

(b) The sum of two odd numbers and one even number is even.

(d) If an even number is divided by 2, the quotient is always odd.

(e) All prime numbers are odd.

(f) Prime numbers do not have any factors.

(g) Sum of two prime numbers is always even.

(h) 2 is the only even prime number.

(i) All even numbers are composite numbers.

(j) The product of two even numbers is always even.

State true (T) of false (F):

$(i)$ The sum of primes cannot be a prime.

$(i i)$ The product of primes cannot be a prime.

$(i i i)$ An even number is composite.

$(i v)$ Two consecutive numbers cannot be both primes.

$(v)$ Odd numbers cannot be composite.

$(v i)$ Odd numbers cannot be written as sum of primes.

$(v i i)$ A number and its successor are always co-primes.

Q. Every even number greater than

2

can be expressed as the sum of two prime numbers.Verify this statement for every even number up to,

16

Q. In the given question, two rows of numbers are given. Resultant number in each row is to be worked out separately based on the following rules and the question below the rows of numbers is to be answered. The operations of numbers progress from left to right.
Rules:
1. If an even number is followed by a prime number, they are to be multiplied.
2. If an even number is followed by a composite odd number, odd number is to be subtracted from the even number.
3. If an odd number is followed by a prime number, the first number is to be divided by the second number.
4. If an odd number is followed by an even number which is a perfect square, they are to be added.
5. If an odd number is followed by composite odd number, they are to be added.

23 - x, 15 - 31, 9 - 15, 64 - 3

If x is the resultant of the first row, then what is the resultant of the second row?

Q. 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 a factor of their difference.

(i i)

If a number is divisible by another number, then it must be divisible by each of the factors of that number.

(i i i)

If a number is divisible by another number, then it is also divisible by all the multiples of that number.

(i v)

No prime number other than

2

is even but every odd number is necessarily a prime number.

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State T for true and for false.(i) If an even number is divided by 2, the quotient is always odd.(ii) All even numbers are composite numbers.(iii) The LCM of two co-prime numbers cannot be equal to their product.(iv) Every number is a factor of itself.(i) (ii) (iii) (iv)

The correct option is C F F F T(i) If an even number is divided by 2, the quotient is not always odd.(ii) 2 is an even prime number.(iii) The LCM of two co-prime numbers is always equal to their product.(iv) Every number is a factor of itself.

State T for true and for false.
(i) If an even number is divided by 2, the quotient is always odd.
(ii) All even numbers are composite numbers.
(iii) The LCM of two co-prime numbers cannot be equal to their product.
(iv) Every number is a factor of itself.
(i) (ii) (iii) (iv)

The correct option is C F F F T
(i) If an even number is divided by 2, the quotient is not always odd.
(ii) 2 is an even prime number.
(iii) The LCM of two co-prime numbers is always equal to their product.
(iv) Every number is a factor of itself.