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11 Views

Question : If $a,b,c$, and $d$ satisfy the equations:
$a+7b+3c+5d=0$, $8a+4b+6c+2d=–4$, $2a+6b+4c+8d=4$, $5a+3b+7c+d=–4$, then $\frac{a+d}{b+c}$?

Option 1: 0

Option 2: 1

Option 3: –1

Option 4: – 4

Team Careers360 16th Jan, 2024

Correct Answer: –1


Solution : Given: $8a+4b+6c+2d=–4$ (equation 1)
$2a+6b+4c+8d=4$ (equation 2)
Adding equations 1 and 2, we get,
$8a+4b+6c+2d+2a+6b+4c+8d=–4+4$
⇒ $10(a+b+c+d)=0$
⇒ $(a+d)=–(b+c)$
⇒ $\frac{a+d}{b+c}$ = –1
Hence, the correct answer is –1.

17 Views

Question : India won_______medals in the International Shooting Sport Federation (ISSF)'s World Cup 2022, which was held in Cairo, Egypt.

Option 1: 5

Option 2: 8

Option 3: 7

Option 4: 6

Team Careers360 20th Jan, 2024

Correct Answer: 7


Solution : The correct option is 7.

India dominated the ISSF World Cup 2022 in Cairo, securing seven medals. Their stellar performance included four golds in the 10m air pistol mixed team, 25m rapid fire pistol mixed team, women's 10m air rifle, and 25m rapid fire

16 Views

Question : If $\cos (3 \alpha)=\sin \left(\alpha-22^{\circ}\right)$, where $3 \alpha<90^{\circ}$, then what is the value of $\alpha$?

Option 1: 29°

Option 2: 26°

Option 3: 27°

Option 4: 28°

Team Careers360 24th Jan, 2024

Correct Answer: 28°


Solution : Given that $\cos (3 \alpha)=\sin \left(\alpha-22^{\circ}\right)$ and $3 \alpha<90^{\circ}$,
$⇒\cos (3 \alpha)=\cos \left\{90^{\circ}-(\alpha-22^{\circ}\right)\}$ [$\because \cos (90^{\circ} - \theta) = \sin \theta$]
$⇒3 \alpha = 90^{\circ}-\alpha+22^{\circ}$
$⇒4 \alpha = 112^{\circ}$
$⇒\alpha = 28^{\circ}$
Hence, the correct answer is 28°.

12 Views

Question : What was the period of Harshavardhana's reign?

Option 1: 647 CE to 700 CE

Option 2: 570 CE to 610 CE

Option 3: 606 CE to 647 CE

Option 4: 545 CE to 570 CE

Team Careers360 22nd Jan, 2024

Correct Answer: 606 CE to 647 CE


Solution : The correct option is 606 CE to 647 CE.

Harshavardhana was an influential ruler who reigned over a significant part of northern India. The common consensus is that he ruled from roughly 606 until 647 CE. Harshavardhana was a prominent king

13 Views

Question : Select the most appropriate option to fill in the blank.
The workers ______ against the new labour laws.

Option 1: remonstrated

Option 2: dissented

Option 3: implicated

Option 4: opposed

Team Careers360 18th Jan, 2024

Correct Answer: remonstrated


Solution : The first option is the correct answer.

Remonstrated means to forcefully protest or object, which fits well in the context of workers expressing opposition to the new labour laws.

The meanings of other options are as follows:

  • Dissented means to express disagreement or opposition.
  • Implicated
13 Views

Question : Which article of the Indian constitution mentions that the Union government must protect States against external aggression and internal disturbance?

Option 1: 353

Option 2: 356

Option 3: 355

Option 4: 358

Team Careers360 16th Jan, 2024

Correct Answer: 355


Solution : The correct option is 355.

The duty of the Union government to protect states against external aggression and internal disturbance is mentioned in Article 355 of the Indian Constitution. Article 355 states that the Union must protect every state against external aggression and internal disturbance

21 Views

Question : The gas engine was invented by:

Option 1: Charles Darwin

Option 2: Sir Humphry Davy

Option 3: Gottlieb Wilhelm Daimler

Option 4: Rudolf Diesel

Team Careers360 25th Jan, 2024

Correct Answer: Gottlieb Wilhelm Daimler


Solution : The correct answer is Daimler.

In 1885, Daimler and Maybach collaborated to develop the modern gas engine. Daimler successfully designed the world's first four-wheeled automobile, starting with a two-wheeled vehicle powered by an engine. A year later, he built the world's first

10 Views

Question : Which of the following is the product as a result of the process of hydrolysis of orthoclase?

Option 1: Limonite

Option 2: Magnesite

Option 3: Gypsum

Option 4: Kaolinite

Team Careers360 18th Jan, 2024

Correct Answer: Kaolinite


Solution : The correct answer is Kaolinite.

Kaolinite is a clay mineral that forms through the chemical weathering and hydrolysis of Orthoclase feldspar, a potassium-rich Aluminium silicate mineral. This process is part of the geological cycle known as the weathering process.

16 Views

Question : Usually, the reduction in the taxes will have ____________ multiplier effect compared to an increase in government spending on aggregate demand.

Option 1: no

Option 2: smaller

Option 3: higher

Option 4: equivalent

Team Careers360 21st Jan, 2024

Correct Answer: smaller


Solution : The correct answer is smaller.

When the government increases its expenditure on the economy, demand increases by the same amount. And a reduction in taxes increases the disposable income of individuals. The change in aggregate demand caused by a change in government spending is

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