Staff Selection Commission Combined Higher Secondary Level Exam
Question : If $\theta+\phi=\frac{\pi}{2}$ and $\sin\theta=\frac{1}{2}$, then the value of $\sin\phi$ is:
Option 1: $1$
Option 2: $\frac{1}{\sqrt{2}}$
Option 3: $\frac{1}{2}$
Option 4: $\frac{\sqrt{3}}{2}$
Correct Answer: $\frac{\sqrt{3}}{2}$
Solution : $\theta+\phi=\frac{\pi}{2}=90°$---------(i) Also, $\sin \theta = \frac{1}{2}=\sin 30°$ $⇒\theta =30°$ Putting $\theta = 30°$ in (i), we get: $30° + \phi=90°$ $⇒\phi=60°$ So, $\sin \phi= \sin 60° = \frac{\sqrt{3}}{2}$ Hence, the correct answer is $\frac{\sqrt{3}}{2}$.
Question : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
Nainital has a 1. _____lake. Tourists come from far and wide to 2. _____ boating here. There is a skating place behind it. People who skate here say that the ride seems to go around with them. Evenings are also pleasant here. The 3. _____ of the electric lights look as if they are dancing in the ripples of the lake. Truly, Nainital is an 4. _____city of 5. _____beauty. Question: Select the most appropriate option for blank 2.
Option 1: adore
Option 2: enjoy
Option 3: celebrate
Option 4: appreciate
Correct Answer: enjoy
Solution : The correct choice is the second option.
Enjoy means to take pleasure in or find delight in something. It indicates experiencing happiness, satisfaction, or gratification from an activity.
The meanings of the other options are as follows:
Question : Select the word that is closest in meaning (SYNONYM) to the word given below.
UNBIASED
Option 1: UNCOMPLAINING
Option 2: CANDID
Option 3: SAPIENT
Option 4: HUMBLE
Correct Answer: CANDID
Explanation:
The word unbiased means just, or free from all prejudice. The word candid means open, straightforward, and honest. Both of these terms imply honesty and objectivity, which makes them closest to the meaning of the given options.
Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No Error".
Due to me being new (1) / to the city, I had (2) / difficulty in finding a job. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The error lies in the first part of the sentence.
The gerund "being" requires a possessive pronoun before it. In this case, the possessive pronoun should be "my".
Therefore, the correct sentence is: "Due to my being new to the city, I had difficulty in
Question : Directions: If a mirror is placed on the line MN, then which of the answer figures is the right mirror image of the given figure?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear close to the mirror in the reflection. 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 the
Question : What is the product of the reaction when anhydrite undergoes hydration?
Option 1: Limonite
Option 2: Magnesite
Option 3: Kaolin
Option 4: Gypsum
Correct Answer: Gypsum
Solution : The correct answer is Gypsum.
When anhydrite (calcium sulfate) undergoes hydration, it forms calcium sulfate dihydrate, which is more commonly known as gypsum. The chemical reaction for this hydration process is as follows:
Anhydrite (Calcium Sulfate) + Water → Gypsum (Calcium Sulfate Dihydrate)
The product
Question : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank. A pathogen is a 1_____________, virus, parasite or fungus that can cause disease within the body. Each pathogen is made up of several subparts, usually unique to that specific pathogen and the 2_____________ it causes. The subpart of a pathogen that causes the formation of antibodies is called an 3________. The antibodies produced in response to the pathogen’s antigen are an important part of the 4___________ system. You can consider antibodies as the 5_______ in your body’s defence system. Question: Select the most appropriate option to fill in blank number 5.
Option 1: vulnerability
Option 2: culprits
Option 3: soldiers
Option 4: loophole
Correct Answer: soldiers
Solution : The correct choice is the third option.
The blank in question is associated with the function of antibodies, and considering the context of the passage, an appropriate term could be "soldiers" or "guards".
Therefore, the correct sentence should be: "You can consider antibodies as the
Question : Who invented the helicopter?
Option 1: Nicolaus Copernicus
Option 2: Igor Sikorsky
Option 3: Francis Cockrell
Option 4: Drinker
Correct Answer: Igor Sikorsky
Solution : The correct answer is Igor Sikorsky.
The first successful multi-motor aircraft and the first production helicopter were both created by Igor Sikorsky. He was inducted into the International Air and Space Hall of Fame in 1966. He was born in 1889 and was a
Question : Directions: Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: I. All Hulk are Thor. II. All Thor are Flash. Conclusions: I. All Hulk are Flash. II. No Thor is a Hulk.
Option 1: Neither I nor II follows
Option 2: Only I follows
Option 3: Only II follows
Option 4: Both I and II follow
Correct Answer: Only I follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): All Hulk are Flash – From the Venn diagram, it is evident that the circle representing Hulk completely lies inside the circle representing
Question : Directions: In the given question, select the related letter-cluster pair from the given alternatives. MOK : KLG :: ? : ?
Option 1: FIM : DFI
Option 2: TMA : UNB
Option 3: KCN : JBM
Option 4: FSA : IVD
Correct Answer: FIM : DFI
Solution : Given: MOK : KLG :: ? : ?
Like, M – 2 = K; O – 3 = L; K – 4 = G
Let's check the options – First option: FIM : DFI→F – 2 = D; I – 3 = F;
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