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Since $|a| = 0.8 < 1$, $\lim_{n\to\infty}(0.8)^n = 0$. Confirmed by the Final Value Theorem: $\lim_{z\to1}(z-1)X(z) = \lim_{z\to1}\frac{z(z-1)}{z-0.8} = 0$.

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Biology QUESTION #11077

Question 5130

Which of the following is a rich source of B vitamins for microbiological culture media?

Peptone
Tryptone
Yeast extract✔️
Agar

Correct Answer Logic:

Yeast extract is an excellent and widely used source of B-complex vitamins (B1/thiamine, B2/riboflavin, B3/niacin, B5/pantothenic acid, B6/pyridoxine, B12, folate, biotin) in microbiological culture media. It is a water-soluble autolysate of Saccharomyces cerevisiae. Peptone and tryptone are protein hydrolysates providing amino acids and nitrogen. Agar is a polysaccharide solidifying agent with no nutritional significance.

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Contracts QUESTION #5842

Question 5131

A Seller tenders non-conforming goods to a Buyer under a shipment contract. The goods are destroyed in transit. Who bears the risk of loss?

The Buyer, because it is a shipment contract.
The Seller, because the goods were non-conforming.✔️
The Carrier, as the bailee of the goods.
The Buyer and Seller share the loss 50/50.

Correct Answer Logic:

Under UCC §2-510(1), if a tender fails to conform, the risk of loss remains on the seller until cure or acceptance.

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General Knowledge QUESTION #8825

Question 5132

Which country has been declared a 'major non-NATO ally' of the United States?

Turkey
Pakistan✔️
India
Italy

Correct Answer Logic:

Pakistan is a major non-NATO ally.

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Chemistry QUESTION #7497

Question 5133

In which of the following processes is the change in oxidation state equal to five?

$\text{C}_2\text{O}_4^{2-} \to 2\text{CO}_2$
$\text{MnO}_4^- \to \text{Mn}^{2+}$✔️
$\text{Cr}_2\text{O}_7^{2-} \to 2\text{Cr}^{3+}$
$\text{CrO}_4^{2-} \to \text{Cr}^{3+}$

Correct Answer Logic:

Calculate the change in oxidation state for each:

(A) C in C$_2$O$_4^{2-}$: $+3$; C in CO$_2$: $+4$. Change $= +1$ per C atom (2 C, so total = 2, but per atom = 1).
(B) Mn in MnO$_4^-$: $+7$; Mn in Mn$^{2+}$: $+2$. Change $= 7 - 2 = \mathbf{5}$ ✓
(C) Cr in Cr$_2$O$_7^{2-}$: $+6$; Cr in Cr$^{3+}$: $+3$. Change $= 3$ per Cr atom.
(D) Cr in CrO$_4^{2-}$: $+6$; Cr in Cr$^{3+}$: $+3$. Change $= 3$.

The change of 5 occurs in the conversion $\text{MnO}_4^- \to \text{Mn}^{2+}$.

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CISA QUESTION #1759

Question 5134

Which of the following statements about a records management system (RMS) is FALSE?

It provides a list of each data file to be protected
It is not necessary for demonstrating proper record-keeping practices✔️
It contains metadata describing acceptable and unacceptable handling procedures
It forms the foundation of all security control decisions made by management

Correct Answer Logic:

An RMS based on ISO 15489 is internationally recognized and serves as the foundation for all data-handling decisions. Its absence indicates a governance control failure. It is essential for proper record-keeping evidence, making option B false.

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Physics QUESTION #4383

Question 5135

If two speakers emit sound at the same frequency and phase, maximum loudness occurs when:

Path difference $= \dfrac{\lambda}{2}$
Path difference $= \lambda$✔️
Path difference $= \dfrac{\lambda}{4}$
Path difference $= \dfrac{3\lambda}{4}$

Correct Answer Logic:

Maximum loudness (constructive interference) occurs when the path difference is a whole number multiple of wavelength: $\Delta x = n\lambda$ where $n = 0, 1, 2, ...$. For $n=1$, path difference $= \lambda$.

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Math Physics Chemistry Biology QUESTION #4187

Question 5136

Which of the following is common between aldosterone, sex hormone and cortisone?

They are peptides
They are Phospholipids
They are steroids✔️
They are glycoproteins

Correct Answer Logic:

Aldosterone, sex hormones, and cortisone are all steroid hormones.

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Education QUESTION #1492

Question 5137

The National Education Policy of 1972 nationalized all private educational institutions on:

January 1, 1970
March 23, 1971
October 1, 1972✔️
August 14, 1973

Correct Answer Logic:

According to the National Education Policy 1972–1980, all privately managed institutions were nationalized on October 1, 1972. The owners were paid no money or compensation.

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Professional QUESTION #1825

Question 5138

Section 6(3) of the Civil Servants Act 1973 deals with failure to pass a prescribed examination or training during probation. If a civil servant appointed by PROMOTION fails to pass the required examination before the expiry of probation, what is the prescribed consequence?

He shall be discharged from service
He shall be reverted to the post from which he was promoted and against which he holds a lien, or discharged if no such post exists✔️
He shall be given an automatic extension of probation period
He shall be referred to the Federal Public Service Commission for re-evaluation

Correct Answer Logic:

Section 6(3)(b) provides that if a civil servant appointed by promotion or transfer fails to pass the prescribed examination or training during probation, he shall be reverted to the service or post from which he was promoted or transferred and against which he holds a lien, or if no such post exists, be discharged. Discharge is only for initial appointees under clause (a).

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