Maths-
General
Easy

Question

If 𝑛 is an even integer, then 𝑚𝑛, where m is any other integer is
a. Odd
b. Even
c. Cannot be determined

hintHint:

Every multiple of two is an even integer so we can say that if 2 is multiplied by an odd integer then the result will be an even integer.

The correct answer is: So, If 𝑛 is an even integer and m is any other integer then mn will be an even integer. Hence, option b is correct.


    It is given that n is an even integer and we know that every even integer is a multiple of 2. So we can write
    n = 2  x             (x is an integer)
    Now we are given that m is an integer and we are asked to determine whether mn is odd or even. mn can be written as
    mn = m  2  x
    mn = 2mx
    Let’s say mx = y and y is an integer. So
    mn = 2y
    We can see that y is multiplied by 2 and we know that every multiple of two is an even integer. So, mn will be an even integer.
    Final Answer:
    So,  If 𝑛 is an even integer and m is any other integer then mn will be an even integer. Hence, option b is correct.

    Related Questions to study

    General
    Maths-

    When Apple sells their iPads, they increase the price $50 from what it costs them to actually make the iPads. One Apple store sold 10 iPads one day which cost a total of $5000. How much does an iPad cost to actually make?

    When Apple sells their iPads, they increase the price $50 from what it costs them to actually make the iPads. One Apple store sold 10 iPads one day which cost a total of $5000. How much does an iPad cost to actually make?

    Maths-General
    General
    Maths-

    State the law of logic that is illustrated.
    If 𝑥 > 10, then 𝑥 + 10 > 20.
    The value of 𝑥 is 15.
    Therefore, 25 > 20.

    State the law of logic that is illustrated.
    If 𝑥 > 10, then 𝑥 + 10 > 20.
    The value of 𝑥 is 15.
    Therefore, 25 > 20.

    Maths-General
    General
    Maths-

    For Christmas, Maryland purchased subscriptions to Xbox Live for her four children. Each subscription costs $5 per month plus a $15 sign-up fee. If she received a bill for $120, for how many months did she purchase subscriptions for her children?

    For Christmas, Maryland purchased subscriptions to Xbox Live for her four children. Each subscription costs $5 per month plus a $15 sign-up fee. If she received a bill for $120, for how many months did she purchase subscriptions for her children?

    Maths-General
    parallel
    General
    Maths-

    State the law of logic that is illustrated.
    If 𝑥 + 2 = 4, then 𝑥 = 2.
    If 𝑥 = 2, then 𝑥2  = 4.
    If 𝑥+2=4, then 𝑥2 = 4

    State the law of logic that is illustrated.
    If 𝑥 + 2 = 4, then 𝑥 = 2.
    If 𝑥 = 2, then 𝑥2  = 4.
    If 𝑥+2=4, then 𝑥2 = 4

    Maths-General
    General
    Maths-

    Show the conjecture is false by finding a counterexample. If A, B and C are collinear, then AB + BC = AC.

    Show the conjecture is false by finding a counterexample. If A, B and C are collinear, then AB + BC = AC.

    Maths-General
    General
    Maths-

    After an oil pipeline burst one morning, gas prices went up by $2.20 per gallon. If that afternoon you bought 10 gallons of gas for $53.90, what was the price per gallon before the oil pipeline burst that morning?

    After an oil pipeline burst one morning, gas prices went up by $2.20 per gallon. If that afternoon you bought 10 gallons of gas for $53.90, what was the price per gallon before the oil pipeline burst that morning?

    Maths-General
    parallel
    General
    Maths-

    Show the conjecture is false by finding a counterexample. Two supplementary angles form a linear pair.

    Show the conjecture is false by finding a counterexample. Two supplementary angles form a linear pair.

    Maths-General
    General
    Maths-

    A store had homemade sweaters on sale for $20 off the original price. Aunt Ethel jumped at the bargain and bought a sweater for all 15 members of her family. If Aunt Ethel paid $375 for all the sweaters, what was the original price of each sweater?

    A store had homemade sweaters on sale for $20 off the original price. Aunt Ethel jumped at the bargain and bought a sweater for all 15 members of her family. If Aunt Ethel paid $375 for all the sweaters, what was the original price of each sweater?

    Maths-General
    General
    Maths-

    Gym charges a $50 activation fee and $17 per month for a membership. If you spend $356, for how many months do you have a gym membership?

    Gym charges a $50 activation fee and $17 per month for a membership. If you spend $356, for how many months do you have a gym membership?

    Maths-General
    parallel
    General
    Maths-

    State the law of logic that is illustrated.
    If you score more than 75%, then you can go to the beach.
    If you go to the beach, then you can surf.
    If you score more than 75%. Then you can surf

    State the law of logic that is illustrated.
    If you score more than 75%, then you can go to the beach.
    If you go to the beach, then you can surf.
    If you score more than 75%. Then you can surf

    Maths-General
    General
    Maths-

    Show the conjecture is false by finding a counterexample. Two adjacent angles always form a linear pair.

    Show the conjecture is false by finding a counterexample. Two adjacent angles always form a linear pair.

    Maths-General
    General
    Maths-

    Prove that ∠ ABC ≅ ∠ ADC

    Prove that ∠ ABC ≅ ∠ ADC

    Maths-General
    parallel
    General
    Maths-

    A man bought 4 cups of coffee and left a $7 tip. A woman bought 8 cups of coffee and only left a $2 tip. If they paid the same amount, how much was each cup of coffee?

    A man bought 4 cups of coffee and left a $7 tip. A woman bought 8 cups of coffee and only left a $2 tip. If they paid the same amount, how much was each cup of coffee?

    Maths-General
    General
    Maths-

    Prove that ∠ ABC ≅  ∠ PQR

    Prove that ∠ ABC ≅  ∠ PQR

    Maths-General
    General
    Maths-

    Show the conjecture is false by finding a counterexample. If stack A B with _ below ≅ stack B C with _ below, then point B is the midpoint of AB.

    Show the conjecture is false by finding a counterexample. If stack A B with _ below ≅ stack B C with _ below, then point B is the midpoint of AB.

    Maths-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.