Staff Selection Commission Combined Higher Secondary Level Exam
Question : Directions: If SUNDAY = 18, YEAR = 12, then THURSDAY = ?
Option 1: 24
Option 2: 26
Option 3: 42
Option 4: 28
Correct Answer: 24
Solution : Given: SUNDAY = 18, YEAR = 12 then THURSDAY = ?
Multiply the number of letters of SUNDAY by three, to get the required code – Number of letters in SUNDAY = 6, 6 × 3 = 18 Thus, SUNDAY is coded as 18. And,
Question : The angle of depression of a point situated at a distance of 70 m from the base of a tower is $60^{\circ}$. The height of the tower is:
Option 1: $35\sqrt{3}$ m
Option 2: $70{\sqrt3}$ m
Option 3: $\frac{70{\sqrt3}}{3}$ m
Option 4: $70$ m
Correct Answer: $70{\sqrt3}$ m
Solution : Length of the tower, $AB$ = $h$ m $\angle DAC$ = $\angle ACB$ = $60^{\circ}$ $BC$ = 70 m In $\triangle ABC$, $\tan 60^{\circ}$ = $\frac{AB}{BC}$ $⇒\sqrt3=\frac{h}{70}$ $\therefore h=70\sqrt3$ m Hence, the correct answer is $70\sqrt{3}$ m.
Question : Production of alcohol from organic compound by microorganisms is known as:
Option 1: combustion
Option 2: fermentation
Option 3: anaerobic respiration
Option 4: aerobic respiration
Correct Answer: fermentation
Solution : The correct option is - Fermentation
Fermentation is the term used to describe the process of dissolving complex molecules into simpler ones when an enzyme is present. Alcoholic fermentation is a sophisticated biochemical process in which yeasts transform carbohydrates into ethanol, carbon dioxide, and other
Question : Directions: A piece of paper is folded and punched as shown below in the question figures. From the given answer figures, indicate how it will appear when opened.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : When the given folded paper is unfolded, it will look like –
Hence, the fourth option is correct.
Question : If $0^{\circ} < \theta < 90^{\circ}$ and $2 \sin^{2}\theta +3\cos\theta =3$, then the value of $\theta$ is:
Option 1: 30°
Option 2: 60°
Option 3: 45°
Option 4: 75°
Correct Answer: 60°
Solution : We know that $\sin^2 \theta + \cos ^2 \theta = 1$ Using the value of $\sin^2 \theta$ in the equation, we get, ⇒ $2(1- \cos ^2 \theta)+3\cos\theta=3$ ⇒ $2-2\cos ^2 \theta+3\cos\theta=3$ ⇒ $2\cos ^2 \theta-3\cos\theta+1=0$ ⇒ $2\cos ^2 \theta-2\cos\theta-\cos\theta+1=0$ ⇒ $(2\cos\theta-1)(\cos\theta-1)=0$ ⇒ $\cos\theta=\frac{1}{2}$ or $\cos\theta=1$
Question : The Telephone was invented by :
Option 1: Guglielmo Giovanni Maria Marconi
Option 2: Alexander Graham Bell
Option 3: John Logie Baird
Option 4: Thomas Barrow
Correct Answer: Alexander Graham Bell
Solution : The correct answer is Alexander Graham Bell.
Alexander Graham Bell was a famous engineer and scientist, and he is famously credited with the discovery of the first functional telephone. He was granted a patent for it, and he was able to make the
Question : Improve the underlined part of the sentence. Choose ‘No improvement’ as an answer if the sentence is grammatically correct. He always checks the weather in the morning before he leaves for working.
Option 1: leaves for work
Option 2: leave for work
Option 3: left for works
Option 4: No improvement
Correct Answer: leaves for work
Solution : The correct answer is the first option.
The use of "leaves for work" is appropriate because the singular subject "he" agrees with the singular verb "leaves" following the subject-verb agreement rule.
Additionally, the phrase "for work" functions as a prepositional phrase, modifying the
Question : Suhas, a 3.15 m tall tree, and a building are positioned such that their feet on the ground are collinear and the tree is located between Suhas and the building. The tree is located at a distance of 7.5 m from Suhas and a distance of 45 m from the building. Further, the eyes of Suhas, the top of the tree, and the top of the building fall in one line, and the eyes of Suhas are at a height of 1.8 m from the ground. Find the height (in m) of the building.
Option 1: 11.25
Option 2: 11.50
Option 3: 10.25
Option 4: 10.75
Correct Answer: 11.25
Solution : The height of the tree, BY = 3.15 m Let the height of the building, CZ be $h$. Height of suhas, XA = 1.8 m The distance between Suhas and the tree, AB = 7.5 m The distance between the tree and the building, BC
Question : Comprehension:
In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each blank.
The Games were held every four years from 1924 until 1936, after which they were 1_________. by World War II. The Olympics 2_________. in 1948 and was 3________. held every four years. Until 1992, the Winter and Summer Olympic Games were held in the same years, but in accordance with a 1986 4________. by the International Olympic Committee (IOC) to place the Summer and Winter Games on 5________. four-year cycles in alternating even-numbered years, the next Winter Olympics after 1992 was in 1994.
Question: Select the most appropriate option to fill in the blank No. 3.
Option 1: regain
Option 2: again
Option 3: bargained
Option 4: never
Correct Answer: again
Solution : The correct choice is the second option.
The sentence discusses the continuity of the Olympics after a hiatus during World War II. It states that the Olympics resumed in 1948 and were again held every four years. The term "again" indicates the resumption of the
Question : $\mathrm{A}$ and $\mathrm{B}$ are running on a circular track of length $1400 \;\mathrm{m}$. The speed of $\mathrm{A}$ is $33\; \mathrm{m/s}$ and the speed of $\mathrm{B}$ is $47\; \mathrm{m/s}$. They start from the same point at the same time in the opposite direction. After how much time (in seconds ) will they meet for the second time?
Option 1: $33$
Option 2: $38$
Option 3: $35$
Option 4: $32$
Correct Answer: $35$
Solution : The relative speed of A and B $=33\;\mathrm{m/s} + 47\;\mathrm{m/s} = 80\;\mathrm{m/s}$ The time they take to meet for the first time $=\frac{1400}{80} = 17.5\;\mathrm{s}$ Since they meet every time they cover the length of the track, They will meet for the second time after
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