Staff Selection Commission Combined Higher Secondary Level Exam
Question : If a + b + c = 15 and a2 + b2 + c2 = 83 then the value of a3 + b3 + c3 – 3abc:
Option 1: 200
Option 2: 180
Option 3: 190
Option 4: 210
Correct Answer: 180
Solution : Given: a2+b2+c2 = 83, a+b+c = 15 We know that, (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca) ⇒ (15)2 = 83 + 2(ab + bc
Question : A, B, and C can complete a work in 10, 12 and 15 days respectively. A left the work 5 days before the work was completed and B left 2 days after A had left. Number of days required to complete the whole work is:
Option 1: $8\frac{2}{3}$
Option 2: $6\frac{2}{3}$
Option 3: $7$
Option 4: $6$
Correct Answer: $7$
Solution : Given: A, B, and C can complete a work in 10, 12, and 15 days respectively. A left the work 5 days before the work was completed and B left 2 days after A had left. Let total work = LCM of 10, 12, and
Question : Ramesh Bais served as Governor in which of the following states before being appointed as Governor of Maharashtra in 2023?
Option 1: Odisha
Option 2: Karnataka
Option 3: Jharkhand
Option 4: West Bengal
Correct Answer: Jharkhand
Solution : The correct answer is Jharkhand.
Ramesh Bais served as the Governor of Jharkhand from 2021 to 2023 and later became the Governor of Maharashtra in 2023. Before these roles, he held the position of Governor of Tripura from 2019 to 2021. Bais has been
Question : Arjuna awardee Dr. Ajmer Singh is associated with which game?
Option 1: Football
Option 2: Table Tennis
Option 3: Athletics
Option 4: Badminton
Correct Answer: Athletics
Solution : The correct option is Athletics.
Ajmer Singh (athlete) was an Indian sprinter who competed in the 1964 Summer Olympics, won a gold medal in the 1966 Asian Games in Bangkok and later served as the Director of Sports at Punjab University in Chandigarh.
Question : Which of the following is not a type of a fold mountain?
Option 1: Aravalli Range
Option 2: The Rhine Valley
Option 3: Appalachians
Option 4: Ural Mountains
Correct Answer: The Rhine Valley
Solution : The correct option is The Rhine Valley.
The Rhine Valley is not a type of fold mountain. The Rhine Valley is a geological feature associated with tectonic activity, but it is not formed through the folding of rock layers that characterise fold
Question : A _______________is an electronic device that receives a weak signal and regenerates it.
Option 1: hub
Option 2: router
Option 3: repeater
Option 4: switch
Correct Answer: repeater
Solution : The correct option is repeater.
A repeater is an electronic device that receives a weak signal and regenerates or amplifies it to extend its range or improve its quality. Repeaters are commonly used in telecommunications and networking to boost signals in situations where the original
Question : In a right-angled triangle $\mathrm{XYZ}$, if $\mathrm{X}=60^{\circ}$ and $\mathrm{Y}=30^{\circ}$, then find the value of $\sin (\mathrm{X}-\mathrm{Y})$.
Option 1: $\frac{3}{5}$
Option 2: $\frac{1}{2}$
Option 3: $\frac{3}{4}$
Option 4: $\frac{2}{3}$
Correct Answer: $\frac{1}{2}$
Solution : Given: $\mathrm{X}=60^{\circ}$ and $\mathrm{Y}=30^{\circ}$ Then, $\sin (\mathrm{X}-\mathrm{Y})$ = $\sin(60-30)^{\circ}$ = $\sin 30^{\circ}$ = $\frac{1}2$ Hence, the correct answer is $\frac{1}2$.
Question : $\overline{\mathrm{CT}}$ is a tangent to a circle at the point $\mathrm{T}$ on the circle. Chord $\overline{\mathrm{AB}}$ of the circle is extended to meet the tangent $\overline{\mathrm{CT}}$ at the point $\mathrm{C}$. If $\mathrm{m}(\overline{\mathrm{AB}})=3 \mathrm{~cm}$ and $\mathrm{m}(\overline{\mathrm{BC}})=2.4 \mathrm{~cm}$, find the length (in $\mathrm{cm}$ ) of the tangent $\overline{\mathrm{CT}}$.
Option 1: 4.2
Option 2: 3.6
Option 3: 3.2
Option 4: 4.0
Correct Answer: 3.6
Solution : AC = 1.5 + 1.5 + 2.4 = 5.4 cm According to the chord tangent theorem, $TC^2=AC\times BC$ ⇒ $TC^2=5.4\times 2.4$ ⇒ $TC^2=12.96$ ⇒ $TC=\sqrt{12.96}$ ⇒ $TC=3.6$ cm Hence, the correct answer is 3.6 cm.
Question : Directions: FJMN is related to LPST in a certain way based on a certain relationship between the given letters in the English alphabetical order. In the same way, ADEL is related to GJKR. Which of the given options is DMJN related to following the same logic?
Option 1: LPTQ
Option 2: JSPT
Option 3: TJMK
Option 4: SJJP
Correct Answer: JSPT
Solution : Given: FJMN is related to LPST and ADEL is related to GJKR.
Add 6 to the place value of each letter of FJMN, and ADEL, to obtain the related letter clusters – FJMN→F + 6 = L; J + 6 = P; M + 6
Question : The canal which links Atlantic Ocean with Pacific Ocean is
Option 1: Suez
Option 2: Malacca
Option 3: Panama
Option 4: Gibralter
Correct Answer: Panama
Solution : The correct answer is Panama.
The manmade Panama Canal, which spans the Isthmus of Panama and is 82 km (51 mi) long, links the Atlantic and Pacific oceans and serves as a commerce route for ships. One of the most significant shipping lanes in the
The Question containing Inaapropriate or Abusive Words
Question lacks the basic details making it difficult to answer
Topic Tagged to the Question are not relevant to Question
Question drives traffic to external sites for promotional or commercial purposes
The Question is not relevant to User
And never miss an important update
