Staff Selection Commission Combined Higher Secondary Level Exam
Question : If in a $\triangle ABC$, as drawn in the figure, $AB = AC$ and $\angle ACD = 120^{\circ}$, then angle A is equal to:
Option 1: $50^{\circ}$
Option 2: $60^{\circ}$
Option 3: $70^{\circ}$
Option 4: $80^{\circ}$
Correct Answer: $60^{\circ}$
Solution : Given that $AB = AC$ in $\triangle ABC$. This is an isosceles triangle, such that $\angle BAC = \angle ABC$. We have, $\angle ACD = 120^\circ$ $\therefore \angle ACB = 180^\circ - 120^\circ = 60^\circ$ Since the sum of angles in a triangle is $180^\circ$.
Question : ABCD is a cyclic quadrilateral, AB is the diameter of the circle. If angle $\angle ACD=45^{\circ}$, then what is the value of $\angle BAD$?
Option 1: $90^{\circ}$
Option 2: $45^{\circ}$
Option 3: $135^{\circ}$
Option 4: $35^{\circ}$
Correct Answer: $45^{\circ}$
Solution :
Since, an angle subtended by the diameter of a circle at the circumference = $90^{\circ}$ ⇒ $\angle$ ACB = $90^{\circ}$ $\angle$ BCD = $\angle$ ACD + $\angle$ ACB = $45^{\circ} + 90^{\circ}=135^{\circ}$ Since the opposite angles of a cyclic quadrilateral are supplementary, $\angle$ BCD +
Question : 2nd October is observed as________.
Option 1: International Non-Violence Day
Option 2: World Social Justice Day
Option 3: World Wildlife Day
Option 4: International Education Day
Correct Answer: International Non-Violence Day
Solution : The correct answer is International Non-Violence Day.
October 2nd is indeed observed as the International Day of Non-Violence. This date is significant because it marks the birthday of Mahatma Gandhi, the leader of the Indian independence movement against British colonial rule and a
Question : Direct conversion of solar energy with the use of a photo voltaic cell results in the production of
Option 1: Optical energy
Option 2: Electrical energy
Option 3: Thermal energy
Option 4: Mechanial energy
Correct Answer: Electrical energy
Solution : The correct option is electrical energy.
The photovoltaic effect is a mechanism used by photovoltaic cells, also referred to as solar cells, to transform light energy from the sun directly into electrical energy. When photons, the light particles hit a solar cell's surface, their
Question : Study the given pie chart and answer the question that follows.
The pie chart represents the marks (out of 100) obtained by Shweta in different subjects - Hindi, English, Maths, Science, Social Science (S.S.) and Commerce in her class examination. The marks obtained in English and S.S. are what percent less than the marks obtained in Hindi and Maths?
The marks obtained in English and S.S. are what percent less than the marks obtained in Hindi and Maths?
Option 1: $30 \frac{1}{8} \%$
Option 2: $31 \frac{5}{8} \%$
Option 3: $30 \frac{5}{8} \%$
Option 4: $31 \frac{1}{8} \%$
Correct Answer: $30 \frac{5}{8} \%$
Solution : Share of marks obtained in English = $52^{\circ}$ Share of marks obtained in S.S. = $59^{\circ}$ Share of total marks obtained in English and S.S = $52^{\circ}$+$59^{\circ}$ = $111^{\circ}$------------(i) Share of marks obtained in Hindi = $72^{\circ}$ Share of marks obtained in Maths
Question : In triangle MNO, AB is parallel NO and MA = 2.5, AN = 7.5, MB = 2.2, find the value of BO.
Option 1: 6.6
Option 2: 8.2
Option 3: 5.4
Option 4: 4.8
Correct Answer: 6.6
Solution : Given: In triangle MNO, AB is parallel NO and MA = 2.5, AN = 7.5, MB = 2.2 Here, triangles MNO and MAB are similar because angle M in triangle MNO is equal to angle M in triangle MAB. So, $\frac{MA}{MN}=\frac{MB}{MO}$ ⇒ $\frac{2.5}{2.5+7.5}=\frac{2.2}{MO}$ $\therefore MO=8.8$
Question : The data given in the table shows the number of boys and girls enrolled for different games in an academy over 5 years.
Which game has the maximum enrollment and during which year?
Option 1: Cricket in 2020
Option 2: Basketball in 2019
Option 3: Football in 2019
Option 4: Basketball in 2020
Correct Answer: Basketball in 2020
Solution : In 2018, Basketball: 46 + 34 = 80 Football: 42 + 37 = 79 Cricket: 45 + 35 = 80 In 2019, Basketball: 40 + 41 = 81 Football: 44 + 38 = 82 Cricket: 42 + 32 = 74 In 2020, Basketball:
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.
With a blood test, a physician was able to _____ the woman's pregnancy.
Option 1: term
Option 2: confirm
Option 3: firm
Option 4: confer
Correct Answer: confirm
Solution : The second option is the correct option. The word "confirm" is the most appropriate choice in this context because it means to establish the truth or correctness of something, which is exactly what the physician does with the blood test – they determine whether or
Question : Directions: In the following question, a sentence is given with blanks that are to be filled in with appropriate words. Four alternatives are suggested; choose the correct alternative out of them as your answer.
He was so _____at his job that he was asked to give a ______to the visitors.
Option 1: Accurate, display
Option 2: Agile, demolition
Option 3: Able, disclosure
Option 4: Adept, demonstration
Correct Answer: Adept, demonstration
Solution : The correct choice is the fourth option, "adept, demonstration".
"Adept" and "demonstration" fit perfectly in the sentence. "Adept" means highly skilled or proficient at something and "demonstration" refers to a display or exhibition of how something is done. This helps in conveying the
Question : The main function of insulin in the human body is
Option 1: To maintain blood pressure
Option 2: To help in digestion of food
Option 3: To control the level of sugar in the body
Option 4: To check the level of iodine in the body
Correct Answer: To control the level of sugar in the body
Solution : The correct option is - To control the level of sugar in the body.
The pancreatic islets of Langerhans cells generate insulin, a peptide hormone that regulates carbohydrate, lipid, and protein metabolism and promotes cell division and
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