Staff Selection Commission Combined Higher Secondary Level Exam
Question : Identify the person from the given statement. "Popularly known as the “King of Pop,” the best-selling American singer, songwriter and dancer".
Option 1: Benny Andersson
Option 2: John Lennon
Option 3: Elton John
Option 4: Michael Jackson
Correct Answer: Michael Jackson
Solution : The correct answer is Michael Jackson.
Michael Jackson was an American singer, songwriter and dancer. He was the first artist in music history to have ten singles in five different decades on the Billboard Hot 100. He revolutionised pop music around the world
Question : In $\triangle A B C$ the internal bisectors of $\angle ABC$ and $\angle ACB$ meet at $X$ and $\angle BAC=30^{\circ}$. The measure of $\angle BXC $ is:
Option 1: $120^{\circ}$
Option 2: $115^{\circ}$
Option 3: $105^{\circ}$
Option 4: $150^{\circ}$
Correct Answer: $105^{\circ}$
Solution : Given: $\angle \mathrm{BAC}=30^{\circ}$ We know that if the internal bisectors of $\angle ABC$ and $\angle ACB$ meet at $\mathrm{X}$ in $\triangle ABC$. Then, $\angle BXC=90^{\circ}+\frac{1}{2}\angle BAC$ ⇒ $\angle BXC=90^{\circ}+\frac{1}{2}×30^{\circ}$ ⇒ $\angle BXC=105^{\circ}$ Hence, the correct answer is $105^{\circ}$.
Question : The radii of the two circles are 9 cm and 4 cm, the distance between their centres is 13 cm, then the length of the direct common tangent is:
Option 1: 8 cm
Option 2: 14 cm
Option 3: 12 cm
Option 4: 16 cm
Correct Answer: 12 cm
Solution : Given: d = PQ = 9 + 4 = 13 cm $r_1$ = 9 cm $r_2$ = 4 cm Direct common tangent (CD) = $\sqrt{d^2-(r_1-r_2)^2}$ = $\sqrt{13^2-(9-4)^2}$ = $\sqrt{13^2-5^2}$ = $\sqrt{169-25}$ = $\sqrt{144}$ = 12 cm Hence, the correct answer is 12 cm.
Question : Directions: Study the following histogram of wage distribution of different numbers of workers and answer the given questions. The number of workers who earn more than Rs. 950 is:
Option 1: 40
Option 2: 31
Option 3: 26
Option 4: 16
Correct Answer: 26
Solution : Number of workers with wages ranging from Rs. 950 to Rs. 960 = 10 Number of workers with wages ranging from Rs. 960 to Rs. 970 = 5 Number of workers with wages ranging from Rs. 970 to Rs. 980 = 3 Number of workers
Question : If $\tan \theta+\sin \theta=A$ and $\tan \theta-\sin \theta=B$, then what is the value of $A^2-B^2$?
Option 1: $\tan \theta \sin \theta$
Option 2: $4 \cot \theta$
Option 3: $4 \tan \theta \sin \theta$
Option 4: $2 \tan \theta \sin \theta$
Correct Answer: $4 \tan \theta \sin \theta$
Solution : $\tan \theta+\sin \theta=A$ and $\tan \theta-\sin \theta=B$ $ A^2-B^2=(A+B)(A-B) $ $⇒ A^2 - B^2 = (2 \tan \theta) × (2 \sin \theta)$ $⇒ A^2 - B^2 = 4 \tan \theta \sin \theta $ Therefore, $A^2 - B^2 = 4 \tan \theta
Question : 'Take-off stage' in an economy means
Option 1: steady growth begins
Option 2: economy is stagnant
Option 3: the economy is about to collapse
Option 4: all controls are removed
Correct Answer: steady growth begins
Solution : The correct answer is steady growth begins.
A country is said to take off when it has made comprehensive changes to its resources and embarked on a path of economic growth that continues for decades. The stage lasts for 20 to 30
Question : Which of the following articles of the Indian Constitution has the idea that "No child below the age of fourteen years shall be employed to work in any factory or mine or engaged in any other hazardous employment"?
Option 1: Article 22
Option 2: Article 24
Option 3: Article 19
Option 4: Article 20
Correct Answer: Article 24
Solution : The correct option is Article 24.
The idea that "no child below the age of fourteen years shall be employed to work in any factory or mine or engaged in any other hazardous employment" is enshrined in Article 24 of the Indian Constitution. This
Question : The Young Bengal Movement was founded by ______.
Option 1: Henry Louis Vivian Derozio
Option 2: Dayananda Saraswati
Option 3: Lala Hansraj
Option 4: Keshub Chandra Sen
Correct Answer: Henry Louis Vivian Derozio
Solution : The correct answer is Henry Louis Vivian Derozio.
The Young Bengal Movement was founded by Henry Louis Vivian Derozio. He was a Portuguese-origin teacher at Hindu College, Kolkata. He was a poet and a novelist. The Young Bengal was a group of
Question : Directions: BK19 is related to DM21 in a certain way. In the same way, RC11 is related to TE13. To which of the following is MJ17 related following the same logic?
Option 1: PL19
Option 2: NK20
Option 3: OL19
Option 4: OM21
Correct Answer: OL19
Solution : Given: BK19 ⇒ DM21, RC11⇒ TE13.
Add 2 to the positional values of each letter and number of the given term to obtain the code — BK19→B + 2 = D; K + 2 = M; 19 + 2 = 21 Thus, BK19 is coded
Question : Directions: 125 is related to 50 in a certain way. Following the same logic, 23 is related to 92. To which of the following is 315 related following the same logic?
Option 1: 145
Option 2: 135
Option 3: 120
Option 4: 126
Correct Answer: 126
Solution : Given: 125 is related to 50 and 23 is related to 92.
125 is related to 50→Both the numbers have a common factor 25→25 × 5 = 125; 25 × 2 = 50 Difference of the numbers multiplied by the common factor→5 – 2 =
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