Your question is –
If f(x) = x + 9 / 3, then find the value of f(2) , then which one is correct?

Your Correct answer: e

See the details Explanation:
According to the question,
f(x) = (x + 9)/3……. (i)
We have to find the value of f(2).
Thus, substituting, x=2 in equation (i), we get,
f(2) = (2 + 9)/3
∴ f(2) = 11/3 = 3.6667
But, none of the given options represent this value.

Hence, the correct answer is option e.

Your question is –
Find the dividend if it is given that the dividend when divided by 6 gives the remainder as half of the divisor and the quotient is 2 more than the perfect square of the divisor?

Your Correct answer: e

See the details Explanation of your question:

According to the question,
Divisor = 6….. (i)
Quotient = 2 + perfect square of the divisor
Thus, quotient = 2 + 36 = 38…..(ii)
Remainder = half of the divisor
Thus, remainder = 6/2 = 3…..(iii)
According to the standard mathematical formula for division:
Dividend = divisor * quotient + remainder
Substituting the values from equation (i), (ii) as well as (iii) in this formula, we get,
Dividend = 6 * 38 + 3
∴ Dividend = 228 + 3
∴ Dividend = 231

Hence, the correct answer is option e.

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Your question is –
Find the difference between ‘m and ‘n’, if it is given that, (m)2 – (n)2 =81 and the sum of these two variables is equal to 50.

It is a easy questions, If you see my explanation, I think, this questions answer will be clear to you.

Your Correct answer: c
Explanation:

According to the question,
(m)2 – (n)2 = 81….(i)
Sum of these two variables = sum of ‘m’ and ‘n’ = 50…..(ii)
We have to find the difference between ‘m’ and ‘n’ i.e. (m-n)
According to the standard mathematical formula,
(m)2 – (n)2 = (m + n) (m – n)
On substituting the values from equations (i) and (ii) in this formula we get,
81 = 50 (m – n)
∴ (m – n) = 81/50 = 1.62
Hence, the correct answer is option c.

Your question is: What will be the value of (am)n for the value of a = 3, m = 2 and n = 4 respectively?

Your Correct answer option is: d
Details Explanation:
According to the question, the value of a = 3, m = 2 and n = 4 respectively.
We have to find the value of (am)n
Substituting the given values in (am)n we get,
(am)n = (32)4
∴(am)n = 32*4 = 38
∴ (am)n = 6561
Hence, the correct answer is option d.

Thanks for your questions. Your problem was –

Correct answer: e

Let’s we see how?

Here I’m trying to solve your problem and explain in details.  now let’s see –

Your question’s details Explanation:

It is given that the sides of the square measure 10cm in length. Therefore the area of
square is side * side = 10 * 10 = 100 square cm.
Now, the question says that the length of some two opposite sides is reduced by a couple
of centimeters i.e. it is reduced by 2 cm and the length of the other two opposite side is
increased by the same measure i.e. 2 cm only.
Hence, as per this, the length of the sides of the square has changed to 8 cm and 12 cm
respectively. From this we can conclude that the resulting figure is a rectangle.
Now the area of a rectangle is 2 * length * breadth = 2 * 8 * 12 = 192 square cm.
But the question asks the area in meters. Hence, 192 cm = 192 * 10-3 meter = 0.192 square meter.

Hence the correct answer is option e.

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Thanks for your questions. Your problem was –

If a man drives a car at a speed of 50 km per hour; then calculate the distance covered by the man in 10 minutes if he is driving at the same speed constantly.

your Correct answer: d
Let’s we see how?
I’m trying to solve your problem and explain in details.  now let’s see –

Your question’s details Explanation:

It is given that man is driving at a speed of 50 km/hr for 10 minutes.
We know that, distance = speed * time———(i)

After substituting the value of speed and time in this formula we get,
Distance = 50 km/hr * 10 minutes——-(ii)

Now, 1 hour = 60 minutes Therefore, x hours = 10 minutes → x = 10 / 60 → x = 0.1667 hours.

Now, substituting the value of ‘x’ in equation (ii), we get,
Distance = 50km/hr * 0.1667 hr
∴ Distance = 8.335 km
Hence, the correct answer is option d.

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Thanks for your questions. Your problem was –

If a – b = 3 and a2 – b2 = 25, then find the sum of both the variables ‘a’ and ‘b’

Correct answer: d

Let’s we see how?

I’m trying to solve your problem and explain in details.  now let’s see –

Your question’s details Explanation:

We know the standard algebraic formula for (a)2 – (b)2
(a)2 – (b)2 = (a + b) (a – b)
Now, according to the data given in the question, a – b = 3 and a2 – b2 = 25.
Substituting these values in above equation, we get,
25 = (a + b) (3)
∴ (a + b) = 25/3
∴ a + b = 8.3333
Hence, the correct answer is option d.

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Thanks for your questions. Your problem was –

Find the greatest fraction from the following set of fractions (8/9, 9/8, 7/5)

I’m trying to solve your problem and explain in details.  now let’s see –

Your question’s details Explanation:

We will have to find the quotients of all the fractions first and then compare them to find the correct answer to the question.
Now, 8/9 = 0.8889
9/8 = 1.125
And, 7/5 = 1.4
∴ The greatest of all is the fraction 7/5

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Thanks for your questions. Your problem was –

Solve the following and find out the answer for ((x6)3 * (x5)6)/ (x3).

Your Correct answer is option: d

Let’s we see that how is your correct answer option d?
I’m trying to solve your problem and explain in details.  now let’s see –

Details Explanation:
According to the basic rules of exponents, we multiply the exponents when powers are
raised to powers……….i
When we multiply the exponents having the same base, then in that case we add the
exponents and not multiply………….ii
When we divide the powers having the same base, then in that case we subtract the
exponents and not multiply………….iii
In this problem, we have to make use of all these three properties in order to get the
correct answer to the question.
First comes the multiplication of the exponents with the same base: ((x6)3 * (x5)6)
∴ ((x6)3 * (x5)6) = x6*3 * x5*6 = x18 * x30 = x18+30 = x48
Now we will solve the division part i.e. x48/x3 = x 48-3 = x45.
Hence, the correct answer is option d.

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Thanks for your questions. Your problem was –
Find out the area of the figure with all its sides equal in length if it is given that the perimeter of this regular polygon is 100.

I’m trying to solve your problem and explain in details.  now let’s see –

Your question’s details Explanation:
According to the question, the figure is having all its sides equal in length.
From this we can conclude that the given geometrical figure is a square.
Now, it is given that the perimeter of the square is 100 units.
And, perimeter of a square = sum of all its sides
Since, all its sides are equal in length, we can say that perimeter of the square = 4(side)
= 100
∴ Side = 100/4 = 25
Now, we have to find out the area of the square.
Area of a square = side * side
∴ Area of the square with side 25 units = 25 * 25 = 625 square units

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Thanks.