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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
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.
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
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
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°
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°.
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
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
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
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:
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".
Whether we realise or not, we are (continuously) making choices every moment of our lives.
(1) comprehensively
(2) comparatively
(3) constantly
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The correct choice is the third option.
Constantly means continuously and without interruption. This is the most appropriate word in the context, as it accurately conveys the idea that choices are made without a break or pause.
The meanings of the other options are as
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
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
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
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
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
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.
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
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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