Staff Selection Commission Combined Higher Secondary Level Exam
Question : If $\tan \theta=\frac{8}{19}$, find the value of $\sec ^2 \theta$.
Option 1: $\frac{11}{19} \\$
Option 2: $1 \frac{8}{19} \\$
Option 3: $\frac{297}{361} \\$
Option 4: $1 \frac{64}{361}$
Correct Answer: $1 \frac{64}{361}$
Solution : Given: $\tan \theta=\frac{8}{19}$ We know, $\sec ^2 \theta=1+\tan^2 \theta$ $⇒\sec ^2 \theta=1+(\frac{8}{19})^2$ $⇒\sec ^2 \theta=1+\frac{64}{361}$ $⇒\sec ^2 \theta=\frac{425}{361}$ $⇒\sec ^2 \theta=1\frac{64}{361}$ Hence, the correct answer is $1\frac{64}{361}$.
Question : Speed of stream is 4 km/hr and the speed of boat is 11 km/hr. In how much time will the boat cover a distance of 21 km upstream and 45 km downstream?
Option 1: 6 hours
Option 2: 3 hours
Option 3: 4 hours
Option 4: 7 hours
Correct Answer: 6 hours
Solution : The speed of the stream is 4 km/hr. The speed of the boat is 11 km/hr. Upstream Speed = Speed of boat –Speed of stream = 11 – 4 = 7 km/h Upstream distance = 21 km Time = $\frac{21}{7}$ = 3 hrs Downstream
Question : The average marks of 17 students in an examination was calculated as 71. However, it was later found that one student's mark had been wrongly entered as 65 instead of 56 and another as 24 instead of 50. The correct average is:
Option 1: 70
Option 2: 71
Option 3: 72
Option 4: 73
Correct Answer: 72
Solution : The total sum of marks was initially = 71 × 17 = 1207 The wrongly entered marks are 65 and 24, so subtract these from the total = 1207 – 65 – 24 = 1118 The correct marks are 56 and 50, so add these
Question : Directions: In the following question, select the odd one from the given alternatives.
Option 1: RTV
Option 2: HJL
Option 3: KMP
Option 4: BDF
Correct Answer: KMP
Solution : Let's check the options – First option: RTV; R + 2 = T; T + 2 = V Second option: HJL; H + 2 = J; J + 2 = L Third option: KMP; K + 2 = M; M + 3 = P Fourth
Question : Which of the following is not an objective of the National Rehabilitation and Resettlement Policy (2007) of the government of India?
Option 1: To maximise the focus on rehabilitation without really caring about resettlement
Option 2: To integrate rehabilitation concerns into the development planning and implementation process
Option 3: To minimise displacement and to promote, as far as possible, not-displacing or taut-displacing alternatives
Option 4: To provide a better standard of living, making concerted efforts to provide sustainable income to the affected families
Correct Answer: To maximise the focus on rehabilitation without really caring about resettlement
Solution : The correct answer is to maximise the focus on rehabilitation without really caring about resettlement.
The National Rehabilitation and Resettlement Policy, 2007 provides for compensation to people whose land is acquired or any other
Question : Select the correct passive form of the given sentence. He built a website from scratch.
Option 1: A website has been built from scratch by him.
Option 2: A website was built from scratch by him.
Option 3: A website was building from scratch by him.
Option 4: A website is built from scratch by him.
Correct Answer: A website was built from scratch by him.
Solution : The correct choice is the second option.
Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active sentence becomes the subject in
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2), and (3) that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
Have you ever been in New York?
(1) At
(2) To
(3) With
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The sentence can be improved using the second option.
To should replace in in the sentence as the correct preposition. Here, the reference is in the past to know whether the person has visited the city before; so, to is used to indicate the destination
Question : Directions: GAMU is related to JDPX in a certain way based on the English alphabetical order. In the same way, LHTC is related to OKWF. To which of the following is BRLQ related following the same logic?
Option 1: EUOT
Option 2: DTNS
Option 3: ETOS
Option 4: CTOU
Correct Answer: EUOT
Solution : Given: GAMU is related to JDPX and LHTC is related to OKWF.
Add 3 to the place value of the letters of GAMU and LHTC to obtain their required codes – GAMU→G + 3 = J; A + 3 = D; M + 3 =
Question : Which Indian freedom fighter is also known as Bismarck of India?
Option 1: Sardar Vallabhbhai Patel
Option 2: Mahatma Gandhi
Option 3: Lal Bahadur Shastri
Option 4: Jawaharlal Nehru
Correct Answer: Sardar Vallabhbhai Patel
Solution : The correct option is Sardar Vallabhbhai Patel.
Vallabhbhai Patel is often referred to as the "Bismarck of India." This comparison is due to his role in unifying the numerous princely states after India gained independence in 1947. Patel played a crucial role in
Question : Which of the following is not a classical dance of India?
Option 1: Bhangra
Option 2: Bharatanatyam
Option 3: Manipuri
Option 4: Kathak
Correct Answer: Bhangra
Solution : The correct answer is Bhangra.
It is a traditional folk dance that originated in the Punjab region of India. Bhangra is not a classical dance form. It is the most famous folk dance form in Punjab. The Indian classical dance forms are Bharatanatyam, Kuchipudi,
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