Explanation

We are given:

$$$$h3=64

To find the value of h, take the cube root of both sides:

$$$$h=3^√64 =4

So the value of h is 4.

But the question asks for the value of n, not h.

Since n is never defined, we cannot determine n from the given equation.

Answer: (D) None of these (assuming it's not a typo and the question asked for "n").

If the question meant "the value of h", then the answer would be (B) 4.

Explanation

The probability that someone is between Aviva and Naomi

• Aviva is the 37th person.

• Naomi is the 67th person.

• "Between" refers to people aged 37 to 67, i.e., positions 38 through 66.

Number of people between them = 66 − 38 + 1 = 29 people

There are 100 people total.

So the probability that a randomly chosen person is between them is:

$$\frac{\mathrm{<font\; color="\#0000ff"><span\; style="background-color:\; rgb(255,\; 255,\; 0);">29</span></font>}}{\mathrm{<span\; style="font-size:\; 0.875rem;"><font\; color="\#0000ff"\; style="background-color:\; rgb(255,\; 255,\; 0);">100</font><span\; style="font-family:\; Overpass,\; sans-serif;"></span></span>}}$$

Explanation

We solve: x^2=32

√x^2=+_√32 

x= +_√32

Simplify the square root

x = +_ √16.5

x = +_ √16.√2

x = +_  4√2

Answer: (D) None of these

Explanation

"Even his opponents admit that he is endowed with rare talents."

• The verb "endowed" is commonly followed by "with" when describing the possession of a particular quality or talent.

• "With" is the correct preposition in this context.

Explanation

"He seems to be quite contented with his life."

"Contented" is commonly followed by "with" to indicate satisfaction or happiness with something.

"With" is the correct preposition in this context.

Explanation

Part=3/8/1/12​​

=3​/8×12/1​

=36/8​

=9/2​

Explanation

 Let's analyze the problem:

• Total marbles in the jar: 5 (red, white, blue, yellow, and 1 more color)

• 4 marbles are removed.

• Find the probability that the yellow marble was removed.

Step 1: Total ways to remove 4 marbles from 5

Step 2: Number of ways to remove 4 marbles, including yellow

To include the yellow marble, we must select the yellow marble and 3 others from the remaining 4 marbles:

Step 3: Probability yellow marble is removed

Explanation

Let's compare the fractions:

• 1/2​=0.5

• 4/5​=0.8

• 5/8​=0.625

Clearly,

4/5​>5​/8>1/2​

Correct answer: (B) 4/5

Explanation

We are given the equation:

$$7\times ?=4400$$

To find the missing number, divide both sides by 7:

?=4400/7​

Now calculate:

4400/7​=628.5714…

This is not an integer, so none of the options (A) 7, (B) 70, or (C) 4900 are correct.

 Correct answer: (D) None of these

Explanation

 We are given:

• 6 kangaroos eat 6 bags in 6 days

We are asked:
How many kangaroos will eat 100 bags in 100 days?

Step 1: Understand the rate

From the first statement:

6 kangaroos eat 6 bags in 6 days.
So, 1 kangaroo eats 1 bag in 6 days.

Therefore, in 1 day, 1 kangaroo eats 1/6 of a bag.

So, in 100 days, 1 kangaroo eats:

Now, let N be the number of kangaroos needed to eat 100 bags in 100 days.

If each kangaroo eats $frac{100}{6}$/6bags in 100 days, then: