Staff Selection Commission Combined Higher Secondary Level Exam
Question : If $\sin \theta=\frac{6}{10}$ and $\cos\theta = \frac{8}{10}$, then $\sin2\theta =$ ______.
Option 1: $\frac{10}{8}$
Option 2: $\frac{12}{10}$
Option 3: $\frac{16}{10}$
Option 4: $\frac{24}{25}$
Correct Answer: $\frac{24}{25}$
Solution : Given, $\sin \theta=\frac{6}{10}$ and $\cos\theta = \frac{8}{10}$ $\sin2\theta =2\sin\theta\cos\theta$ ⇒ $\sin2\theta = 2\times \frac{6}{10}\times\frac{8}{10}$ ⇒ $\sin\theta = 2\times \frac{3}{5}\times \frac{4}{5}$ ⇒ $\sin2\theta = \frac{24}{25}$ Hence, the correct answer is $\frac{24}{25}$.
Question : Which of the following statements regarding coal is not correct?
Option 1: Anthracite is the highest quality hard coal.
Option 2: Coal that has been buried deep and subjected to increased temperatures is bituminous.
Option 3: Lignite is a low-grade brown coal, which is soft with high moisture content.
Option 4: Metallurgical coal is high-grade lignite coal which has a special value for smelting iron in blast furnaces.
Correct Answer: Metallurgical coal is high-grade lignite coal which has a special value for smelting iron in blast furnaces.
Solution : The correct answer is Metallurgical coal is high-grade lignite coal which has a special value for smelting iron in blast furnaces.
The metallurgical name that is used in
Question : Normally animals can change the place, but which one of the following animals cannot change the place?
Option 1: Starfish
Option 2: Sponge
Option 3: Hydra
Option 4: Leech
Correct Answer: Sponge
Solution : The Correct Answer is Sponge
Sessile animals are those that do not move from one location to another. A Porifera member found in sponges. These organisms benefit from living a sessile lifestyle because it requires less energy for them to move through the water in
Question : The bar graph given below shows the number of male teachers and female teachers in 5 schools. L1- The difference between the total number of male and female teachers in all the 5 schools. L2 = Total number of male and female teachers in school H. What is the value of $\frac{\text{L1}}{\text{L2}}$?
Option 1: 2.66
Option 2: 1.16
Option 3: 0.55
Option 4: 4.66
Correct Answer: 1.16
Solution : L1 = (Total male teachers) – (Total female teachers) = $(240+320+280+200+120)-(320+280+80+40+40+120)$ = $1160 - 880=280$ L2 = Total number of male and female teachers in school H = $120 + 120= 240$ Ratio = $\frac{\text{L1}}{\text{L2}}=\frac{280}{240}=\frac{7}{6} = 1.16$ Hence, the correct answer is 1.16.
Question : Select the most appropriate option to fill in the blank. The chef's culinary creations were infused with a distinctive_____that set them apart from typical restaurant fare.
Option 1: flare
Option 2: fair
Option 3: flere
Option 4: flair
Correct Answer: flair
Solution : The correct choice is the fourth option.
The most suitable word from the given options is flair (noun), which means uniqueness or special quality that helps convey the intended meanings of the sentence.
The meanings of the other options are:
Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at MN as shown.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection. Here, according to the information provided, if the mirror is placed on the right side of the figure (on line MN), the right of the reflected image will appear as
Question : Directions: Select the related code from the given alternatives. MP : PN :: QR : ?
Option 1: PT
Option 2: TP
Option 3: LM
Option 4: NR
Correct Answer: TP
Solution : Given: MP : PN :: QR : ?
Like, M + 3 = P; P – 2 = N Similarly, Q + 3 = T; R – 2 = P
So, QR is related to TP. Hence, the second option is correct.
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.
Afreen ____ that the weather was very pleasant that day.
Option 1: Remarked
Option 2: Announced
Option 3: Argued
Option 4: Suggested
Correct Answer: Remarked
Solution : The correct choice is the first option, "remarked".
It means to comment on something, and it fits perfectly in the sentence.
The meanings of the other options are as follows:
Question : Who was the regent of Akbar in his early days ?
Option 1: Abul Fazl
Option 2: Bairam Khan
Option 3: Tansen
Option 4: Todarmal
Correct Answer: Bairam Khan
Solution : The correct option is Bairam Khan.
Early on, Bairam Khan served as Akbar's regent. During the early years of Akbar's rule, he was the Mughal Empire's regent and top military leader. During Akbar's early years, Bairam Khan was crucial in maintaining the empire and
Question : Three solid iron cubes of edges 4 cm, 5 cm, and 6 cm are melted to make a new cube. 62 cm3 of the melted material is lost due to improper handling. The area (in cm2) of the whole surface of the newly formed cube is:
Option 1: 294
Option 2: 343
Option 3: 125
Option 4: 216
Correct Answer: 294
Solution : Length of edges of cubes = 4 cm, 5 cm, and 6 cm. Volume of the cube = a3 Volume of all three cubes = 43 + 53 + 63 = 64 + 125 + 216 = 405 cm3 Volume
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