Staff Selection Commission Combined Higher Secondary Level Exam
Question : The value of $\frac{\operatorname{sin} 58^{\circ}}{\cos 32^{\circ}}+\frac{\sin 55^{\circ} \sec 35^{\circ}}{\tan 5^{\circ} \tan 45^{\circ} \tan 85^{\circ}}$ is equal to:
Option 1: 2
Option 2: 1
Option 3: 0
Option 4: 3
Correct Answer: 2
Solution : Given: $\frac{\operatorname{sin} 58^{\circ}}{\cos 32^{\circ}}+\frac{\sin 55^{\circ} \sec 35^{\circ}}{\tan 5^{\circ} \tan 45^{\circ} \tan 85^{\circ}}$ $=\frac{\operatorname{sin} 58^{\circ}}{\cos (90^{\circ}-58^{\circ})}+\frac{\sin 55^{\circ} \cot 5^{\circ}}{\cos 35^{\circ} \tan 45^{\circ} \tan 85^{\circ}}$ $=\frac{\operatorname{sin} 58^{\circ}}{\operatorname{sin} 58^{\circ}}+\frac{\sin 55^{\circ} \cot (90^{\circ}-85^{\circ})}{\cos (90^{\circ}-55^{\circ}) \tan 45^{\circ} \tan 85^{\circ}}$ $= 1+\frac{\sin 55^{\circ} \tan 85^{\circ}}{\sin 55^{\circ} \tan 45^{\circ} \tan 85^{\circ}}$ $=1+\frac{1}{
Question : What is the value of 1440 – 200 ÷ 50 × 2 + 3?
Option 1: 1420
Option 2: 1440
Option 3: 1435
Option 4: 1444
Correct Answer: 1435
Solution : Given: 1440 – 200 ÷ 50 × 2 + 3 = 1440 – 4 × 2 + 3 = 1440 – 8 + 3 = 1435 Hence, the correct answer is 1435.
Question : Who wrote the book 'Systema Naturae'?
Option 1: Jean-Baptiste Lamarck
Option 2: Comte de Buffon
Option 3: Charles Darwin
Option 4: Carolus Linnaeus
Correct Answer: Carolus Linnaeus
Solution : The correct answer is Carolus Linnaeus.
The inventor of modern taxonomy, Carolus Linnaeus, was a Swedish botanist, naturalist, and physician. Based on their physical traits, he created a method for categorizing all living things into a hierarchy of types. He mentioned this in his
Question : Directions: Which term from among the given options can replace the question mark (?) in the following series to make it logically complete? UC 169, WE 121, ?, AI 49, CK 25
Option 1: YF 64
Option 2: XH 81
Option 3: XF 64
Option 4: YG 81
Correct Answer: YG 81
Solution : Given: UC 169, WE 121, ?, AI 49, CK 25
Add 2 to the place value of each letter, and identify the square of odd numbers in reverse order to get the next term – UC 169 ⇒ U + 2 = W; C
Question : Abu Dhabi is the Capital City of______.
Option 1: United Arab Emirates
Option 2: Netherlands
Option 3: South Korea
Option 4: Italy
Correct Answer: United Arab Emirates
Solution : The correct answer is the United Arab Emirates.
The United Arab Emirates' capital is Abu Dhabi. It is a Middle Eastern nation in Western Asia. It is situated in the eastern part of the Arabian Peninsula and has land borders with Oman, Saudi
Question : Directions: In the following question, the sentence given with a blank is to be filled in with an appropriate word. Select the correct alternative out of the four.
Moving to the city was eye _____ for the straitlaced country girl.
Option 1: clearing
Option 2: freeing
Option 3: saving
Option 4: opening
Correct Answer: opening
Solution : The fourth option is the correct answer. In this context, "eye-opening" means that moving to the city provided the country girl with new experiences and perspectives, broadening her horizons and challenging her previous views.
All the other words don't match the context.
So the complete
Question : The most abundant element by number in the living system is:
Option 1: Nitrogen
Option 2: Hydrogen
Option 3: oxygen
Option 4: carbon
Correct Answer: Hydrogen
Solution : The correct option is Hydrogen.
The most abundant element by number in living systems is hydrogen. It's a fundamental component of many biological molecules, including water and organic compounds such as carbohydrates, proteins, lipids, and nucleic acids.
Question : "Sattriya Nritya", recognised as a classical dance form of India by the Sangeet Natak Academy only in 2000, originated from where?
Option 1: Assam
Option 2: Karnataka
Option 3: Gujarat
Option 4: Tripura
Correct Answer: Assam
Solution : The correct answer is Assam.
"Sattriya Nritya" is associated with the state of Assam. It was started by Sri Sankardeva in Assam in the 15th century. It was a neo-Vaishnavite movement. It is performed on Assamese music called Borgeet and is one of the eight
Question : If $\sin(60^{\circ}-x)=\cos(y+60^{\circ})$, then the value of $\sin(x-y)$ is:
Option 1: $\frac{1}{\sqrt2}$
Option 2: $\frac{1}{2}$
Option 3: $\frac{\sqrt3}{2}$
Option 4: $1$
Correct Answer: $\frac{1}{2}$
Solution : Given: $\sin(60^{\circ}-x)=\cos(y+60^{\circ})$ ⇒ $\cos(90^{\circ}-60^{\circ}+x)=\cos(y+60^{\circ})$ ⇒ $30^{\circ}+x=y+60^{\circ}$ ⇒ $x-y=30^{\circ}$ Now, $\sin(x-y)$ = $\sin(30^{\circ})$ = $\frac{1}{2}$ Hence, the correct answer is $\frac{1}{2}$.
Question : Comprehension
In the following passage some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each blank.
Unemployment is a major issue in India that (1)________millions of people across the country. Despite being one of the fastest-growing economies in the world, India has struggled to create (2)________jobs to keep up with its rapidly expanding population. The unemployment rate in India varies widely (3)________ different states and regions. Young people, in particular, face significant challenges in finding employment. Many are highly educated but lack the skills and experience needed to (4)________ in a highly competitive job market. There are many factors contributing to the high levels of unemployment in India. Some of these include a lack of investment in infrastructure, a mismatch between the skills of workers and the needs of employers, and a lack of access to finance for small and medium-sized businesses. The Indian government has launched several initiatives to address the issue of unemployment in the country. These include programs to support small businesses, increase investment in infrastructure and provide vocational training to young people. However, much more needs to be done to create sustainable, long-term employment opportunities for all Indians. Unemployment can have serious social and economic consequences, including poverty, crime and social (5)________.
Select the most appropriate option to fill in blank no. 5.
Option 1: cohesion
Option 2: stigma
Option 3: unrest
Option 4: solidarity
Correct Answer: unrest
Solution : The most appropriate choice is the third option: unrest.
Unemployment often leads to social discontent, dissatisfaction, and instability within a society. Unrest encapsulates the sense of dissatisfaction, tension, and potential for upheaval resulting from widespread joblessness.
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