Staff Selection Commission Combined Higher Secondary Level Exam
Question : Directions: A series is given with one term missing. Select the correct alternative from the given ones that will complete the series. NRQS, NIYI, NZGY, ?, NHWE
Option 1: NQQO
Option 2: NQQQ
Option 3: NOOO
Option 4: NQOO
Correct Answer: NQOO
Solution : Given: NRQS, NIYI, NZGY, ?, NHWE
Add 0 and 8 to the place values of the first and the third letters, and subtract 9 and 10 from the place values of the second and fourth letters, to obtain the next letter cluster – NRQS→N +
Question : Who has been appointed as the Chief of Defence Staff (CDS) in September 2022?
Option 1: Lt. Gen Hari Kumar
Option 2: Lt. Gen Anil Chauhan (Retired)
Option 3: Lt. Gen Vinod G. Khandare (Retired)
Option 4: Lt. Gen Manoj Pandey
Correct Answer: Lt. Gen Anil Chauhan (Retired)
Solution : The correct option is Lt. Gen Anil Chauhan (Retired).
In September 2022, Lt. Gen. Anil Chauhan (retired) was appointed as the Chief of Defence Staff (CDS) of India. Before he was appointed CDS, Lt. Gen. Chauhan served as the Eastern
Question : Parts of a sentence are given below in jumbled order. Arrange the parts in the correct order to form a meaningful sentence. (P) and the impact of their (Q) the authors' journey of self-discovery (R) the memoir explores (S) upbringing on their identity
Option 1: RQPS
Option 2: RQSP
Option 3: QPSR
Option 4: SPRQ
Correct Answer: RQPS
Solution : The correct choice is the first option: RQPS
Explanation:
Question : Directions: Four positions of a dice are given below –
Find the number on the face opposite to the face showing 4.
Option 1: 5
Option 2: 6
Option 3: 3
Option 4: 1
Correct Answer: 5
Solution : According to the dice rule, if two or more positions of the same dice are given with two common faces but in different orientations then out of those two common faces the faces that are not common are opposite to each other.
Considering dice 1
Question : Which of these statements is true?
Option 1: At lower rates of interest, people will have a lower preference for liquidity.
Option 2: At higher rates of interest transactions, demand for money will be higher.
Option 3: At lower rates of interest, speculative demand for money will be higher.
Option 4: At higher rates of interest, the liquidity preference of people will increase.
Correct Answer: At lower rates of interest, speculative demand for money will be higher.
Solution : The correct option is At lower rates of interest, speculative demand for money will be higher.
According to the theory of liquidity preference proposed by J. M. Keynes, speculative demand for money is
Question : A quadrilateral $ABCD$ circumscribes a circle and $AB=6\operatorname{cm},CD=5\operatorname{cm},$ and $AD=7\operatorname{cm}$. The length of side $BC$ is:
Option 1: 4 cm
Option 2: 5 cm
Option 3: 6 cm
Option 4: 3 cm
Correct Answer: 4 cm
Solution : In a quadrilateral that circumscribes a circle, the sum of a pair of opposite sides is equal to the sum of the other pair of opposite sides. We know that the tangents from a point to a circle are equal in length. In quadrilateral
Question : Raman wants to use a rear-view mirror in his vehicle. Which type of mirror should he pick for it?
Option 1: Convex Mirrors
Option 2: Plane Mirrors
Option 3: Cylindrical Mirrors
Option 4: Concave Mirrors
Correct Answer: Convex Mirrors
Solution : The correct answer is Convex Mirrors.
Raman should choose a convex mirror for his vehicle's rear-view mirror. Convex mirrors provide a wider field of view, allowing drivers to see more of the area behind them. This is beneficial for enhancing safety by minimizing blind
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.
India will host an international summit on Buddhism here on April 20 and 21. Delegates from 30 countries will participate, a notable exception (1) ________ China. Tibetan spiritual leader, the Dalai Lama, is also unlikely to attend the two-day conclave. The maiden conference being organised by the Union Culture Ministry and the International Buddhist Confederation will discuss (2) ________ global issues through a Buddhist perspective. Over 170 delegates from countries such as Mexico, Cambodia, Laos, Thailand, and Japan and 150 from India will participate in the summit to be held in the national capital. The delegates (3) ________ prominent scholars, monks, diplomats, and members of Buddhist organisations across the globe. The largest number of delegates are from Sri Lanka (20) and Vietnam (30). Abhijit Haldar, Director General of the International Buddhist Confederation, said that while no delegate had been confirmed from China, there would be two participants from Taiwan. “The invitations (4) ________ sent to various Buddhist institutions and not to governments,” Mr. Haldar added. He also mentioned that the Dalai Lama (5) ________ not attend the event due to health issues.
Select the most appropriate option to fill in the blank number 4.
Option 1: had
Option 2: were
Option 3: has
Option 4: was
Correct Answer: were
Solution : The most appropriate choice is the second option.
Explanation: The sentence discusses invitations that were sent to various Buddhist institutions. The subject of the sentence is invitations which is a plural noun. So, the correct verb form to use with a plural subject like "invitations"
Question : Select the appropriate ANTONYM of the underlined word to fill in the blank. We should try to pacify the situation and not _____ it further.
Option 1: mitigate
Option 2: standardise
Option 3: illustrate
Option 4: aggravate
Correct Answer: aggravate
Solution : The fourth option is the correct choice.
Pacify means to calm or soothe, suggesting an effort to ease tensions or conflicts. Aggravate is the opposite, meaning to worsen or intensify, which fits the context of not making the situation worse.
The meanings of other options
Question : If $\frac{\cos\alpha}{\cos\beta}=a$, $\frac{\sin\alpha}{\sin\beta}=b$, then $\sin^{2}\beta$ is equal to:
Option 1: $\frac{a^{2}–1}{a^{2}+b^{2}}$
Option 2:
$\frac{a^{2}+1}{a^{2}–b^{2}}$
Option 3:
$\frac{a^{2}-1}{a^{2}-b^{2}}$
Option 4:
$\frac{a^{2}+1}{a^{2}+b^{2}}$
Correct Answer:
Solution : Given: $\frac{\cos\alpha}{\cos\beta}=a$ and $\frac{\sin\alpha}{\sin\beta}=b$ ⇒ $\cos\alpha=a\cos\beta$------------------------(1) ⇒ $\sin\alpha=b\sin\beta$-------------------------(2) Squaring and adding the equations (1) and (2), we have, $\cos^{2}\alpha+\sin^{2}\alpha=a^{2}\cos^{2}\beta+b^{2}\sin^{2}\beta$ ⇒ $1=a^{2}\cos^{2}\beta+b^{2}\sin^{2}\beta$ ⇒ $1=a^{2}(1-\sin^{2}\beta)+b^{2}\sin^{2}\beta$ ⇒ $1=a^{2}-a^{2}\sin^{2}\beta+b^{2}\sin^{2}\beta$ ⇒ $a^{2}-1=\sin^{2}\beta(a^{2}-b^{2})$ $\therefore\sin^{2}\beta=\frac{a^{2}-1}{a^{2}-b^{2}}$ Hence, the correct answer is $\frac{a^{2}-1}{a^{2}-b^{2}}$.
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