Staff Selection Commission Combined Higher Secondary Level Exam
Question : Subhas, a 3.15 m tall tree, and an 11.25 m tall building are positioned such that their feet on the ground are collinear and the tree is located between Subhas and the building. The tree is located at a distance of 7.5 m from Subhas and a distance of 45 m from the building. Further, the eyes of Subhas, the top of the tree, and the top of the building fall in one line. Find the height (in m ) from the ground at which Subhas's eyes are situated.
Option 1: 1.75
Option 2: 1.8
Option 3: 1.6
Option 4: 1.5
Correct Answer: 1.8
Solution : Let XA be Subhas, YB be the tree, and ZC be the building. YB = 3.15 m ZC = 11.25 m AB = 7.5 m BC = 45 m XO = AB = 7.5 m OP = BC = 45 m ⇒ XP = XO
Question : Select the correctly spelt word
Option 1: Reprimand
Option 2: Repriment
Option 3: Reprimend
Option 4: Reprimant
Correct Answer: Reprimand
Solution : The correct choice is the first option.
Explanation:
The correctly spelt word is reprimand. It means a formal expression of disapproval.
Question : In a circle with centre O, arc CD subtends an angle of 60° at the centre of the circle whose radius is 21 cm. Calculate the length of the arc CD.
Option 1: 20 cm
Option 2: 18 cm
Option 3: 24 cm
Option 4: 22 cm
Correct Answer: 22 cm
Solution : Given: Radius, $r$ = 21 cm and Arc angle = 60° Arc length = $2\pi r \times \frac{60°}{360°}=2 \times\frac{22}{7}\times 21\times \frac{1}{6}= 22$ cm Hence, the correct answer is 22 cm.
Question : A hemispherical bowl has an internal radius of 6 cm. The internal surface area would be: (Take $\pi =3.14$)
Option 1: 225 cm2
Option 2: 400 cm2
Option 3: 289.75 cm2
Option 4: 226.08 cm2
Correct Answer: 226.08 cm2
Solution : Given: Internal radius, $r$ = 6 cm. Internal surface area of hemispherical bowl = $2\pi r^2$ = 2 × 3.14 × 6 × 6 = 226.08 cm2 Hence, the correct answer is 226.08 cm2.
Question : Parts of a sentence are given below in jumbled order. Arrange the parts in the correct order to form a meaningful sentence.
(A) between the two countries
(B) will inevitably count
(C) the recent political incident
(D) against the peace process
Option 1: CDBA
Option 2: CDAB
Option 3: CBAD
Option 4: CABD
Correct Answer: CABD
Solution : The fourth option is the correct choice.
Part (C) tells about the recent political incident, followed by part (A), which specifies that it is between the two countries. It is followed by part (B), which says that it will inevitably count against the peace process,
Question : The famous Khajuraho Group of Monuments is in which state?
Option 1: Uttar Pradesh
Option 2: Madhya Pradesh
Option 3: Rajasthan
Option 4: Maharashtra
Correct Answer: Madhya Pradesh
Solution : The correct option is Madhya Pradesh.
In Madhya Pradesh, Chhatarpur district, there are several Hindu and Jain temples collectively known as the Khajuraho Group of Monuments. It was constructed in the Middle Ages by the Chandela Dynasty. They are listed on the UNESCO World
Question : The marked price of a saree is Rs. 3,800 and it is available for Rs. 3,230. What is the rate of discount?
Option 1: 10%
Option 2: 18%
Option 3: 12%
Option 4: 15%
Correct Answer: 15%
Solution : The Marked Price of a saree = Rs. 3,800 Selling Price of saree = Rs. 3,230 Discount percentage = $\frac{\text{Marked price – Selling price}}{\text{Marked price}}\times 100$ = $\frac{(3800-3230)}{3800} \times 100$ = 15% Hence, the correct answer is 15%.
Question : Which among the following is not a type of right to freedom in the Indian Constitution?
Option 1: Protection of certain rights regarding freedom of speech, etc.
Option 2: Protection of life and personal liberty
Option 3: Offences for armed assembly
Option 4: Protection in respect of conviction for offences
Correct Answer: Offences for armed assembly
Solution : The correct answer is Offences for armed assembly.
The Indian Constitution guarantees six fundamental rights in Part 3, including the right to freedom, which encompasses peaceful assembly without arms. Restrictions on armed assemblies are imposed in the interest of public order
Question : Simplify: $\left[\frac{1}{5} \text { of }(35-5)+4\right]^2-[9-\{7+(2-3)\}+5]^2$
Option 1: 100
Option 2: 36
Option 3: 25
Option 4: 64
Correct Answer: 36
Solution : Given: $[\frac{1}{5} \text { of }(35-5)+4]^2-[9-\{7+(2-3)\}+5]^2$ Applying BODMAS, = $[\frac{1}{5} \text { of }(35-5)+4]^2-[9-{6}+5]^2$ = $[\frac{1}{5} \text { of }(30)+4]^2-64$ = $[6+4]^2-64$ = $100-64$ = $36$ Hence, the correct answer is 36.
Question : If the altitude of a right prism is 10 cm and its base is an equilateral triangle of side 12 cm, then its total surface area (in cm2) is:
Option 1: $(5+3\sqrt3)$
Option 2: $36\sqrt3$
Option 3: $360$
Option 4: $72(5+\sqrt3)$
Correct Answer: $72(5+\sqrt3)$
Solution : Use the formulas: Area of equilateral triangle of side $a =\frac{\sqrt3a^2}{4}$ The perimeter of an equilateral triangle of side $a = 3a$ Total surface area of prism = Perimeter of base × Height + 2 × Base area Height of a right prism = 10
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