Staff Selection Commission Combined Higher Secondary Level Exam
Question : Directions: Choose the related code from the given alternatives. AF : BE :: ? : DH
Option 1: CH
Option 2: CG
Option 3: DG
Option 4: CI
Correct Answer: CI
Solution : Given: AF : BE :: ? : DH
Subtract and add 1 alternatively to the letters of the second letter pair to get the first term. Like, B – 1 = A; E + 1 = F Similarly, D – 1 = C; H +
Question : What is the value of (a + b)3 – a3 – b3?
Option 1: – 3ab(a – b)
Option 2: 3ab(a + b)
Option 3: – 3ab(a + b)
Option 4: 3ab(a – b)
Correct Answer: 3ab(a + b)
Solution : (a + b)3 – a3 – b3 = a3 + b3 + 3ab(a + b) – a3 – b3 = 3ab(a + b) Hence, the correct answer is 3ab(a + b).
Question : If in $\triangle PQR$ and $\triangle DEF, \angle P=52^{\circ}, \angle Q=74^{\circ}, \angle R=54^{\circ}, \angle D=54^{\circ}, \angle E=74^{\circ}$ and $\angle F=52^{\circ}$, then which of the following is correct?
Option 1: $\triangle \mathrm{PQR} \sim \triangle \mathrm{FED}$
Option 2: $\triangle \mathrm{RQP} \sim \triangle \mathrm{FED}$
Option 3: $\triangle \mathrm{PRQ} \sim \Delta \mathrm{FED}$
Option 4: $\triangle \mathrm{PQR} \sim \triangle \mathrm{DEF}$
Correct Answer: $\triangle \mathrm{PQR} \sim \triangle \mathrm{FED}$
Solution : $\because$ $\angle P=\angle F=52^0$ $\angle Q=\angle E=74^0$ And $\angle R=\angle D=54^0$ By AAA criteria, triangles are similar. So, $\triangle \mathrm{PQR} \sim \triangle \mathrm{FED}$. Hence, the correct answer is $\triangle \mathrm{PQR} \sim \triangle \mathrm{FED}$.
Question : Who among the following has been accused of committing the judicial murder of Raja Nand Kumar?
Option 1: Lord Wellesley
Option 2: Lord Dalhousie
Option 3: Lord Cornwallis
Option 4: Warren Hastings
Correct Answer: Warren Hastings
Solution : The correct option is Warren Hastings.
Warren Hastings, the first Governor-General of British India, faced accusations of orchestrating the judicial murder of Raja Nand Kumar during the late 18th century. The trial of Raja Nand Kumar was marked by allegations of political motives
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
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