Explanation

Given x + 1/x = 10:

Step 1: Square both sides

(x + 1/x)² = 10²

x² + 2(x)(1/x) + 1/x² = 100

x² + 2 + 1/x² = 100

Step 2: Solve for x² + 1/x²

x² + 1/x² = 100 - 2

x² + 1/x² = 98

Explanation

The numbers are 2x, 3x, and 4x with an HCF of 12. So, x = 12.

Numbers are 24, 36, and 48.

Calculating LCM

LCM(24, 36, 48) = 2^4 * 3^2 = 144

Explanation

Security mirrors help inspect the underside of vehicles for hidden objects.

Commonly used at checkpoints, military bases, and secure facilities.

Explanation

Khalil Haqqani served as the Acting Minister of Refugees and Repatriation in the Taliban's interim government from September 7, 2021.

He was a senior leader of the Haqqani Network, a powerful faction within the Taliban.

Khalil Haqqani was assassinated on December 11, 2024.

Explanation

Handheld metal detectors commonly use batteries ranging from 1.5V (AA) up to 9V.

This low voltage powers the device for portability and safety.

Explanation

Provisional security refers to local or regional security arrangements, typically handled by the District Police.

Customs deals with border control and goods regulation.

Explanation

"On" is used for specific dates (e.g., "on 23rd June").

"In" is for months/years (e.g., "in June").

"At" is for precise times (e.g., "at 9 AM").

Explanation

Ebrahim Raisi was elected as the 8th President of Iran in the 2021 presidential election.

He secured 61.95% of the vote, defeating his main rival, Abdolnasser Hemmati, who received 8.4%.

On 19 May 2024, an Iranian helicopter crashed near the Azerbaijan border. 

Iranian president Ebrahim Raisi, Iranian Foreign Minster killed.

A total of 9 people perished.

Note: Pakistan observed a day of mourning on 21 May 2024 over this tragic incident.

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Explanation

All three breeds — German Shepherd, Labrador Retriever, and German Pointer — are widely used in sniffing operations.

They assist in detecting drugs, explosives, and missing persons

Explanation

The referendum proposed to amend the Australian Constitution to establish an Aboriginal and Torres Strait Islander Voice to Parliament.

It was rejected nationally and did not achieve a majority in any state, thus failing to meet the requirements for constitutional change.