Staff Selection Commission Combined Higher Secondary Level Exam
Question : If $\sin \alpha=\frac12$ and $\sin \beta=\frac12$, then what is the value of $\cos (\alpha+\beta)$? $(0°<\alpha, \beta<90° )$
Option 1: $\frac{\sqrt{3}}{2}$
Option 2: $\frac{1}{ 4}$
Option 3: $\frac12$
Option 4: $1$
Correct Answer: $\frac12$
Solution : Given, $\sin \alpha=\frac12$ and $\sin \beta=\frac12$ and $0°<\alpha, \beta<90°$ $\sin \alpha=\frac12=\sin30°$ ⇒ $\alpha =30°$ $\sin \beta=\frac12=\sin30°$ ⇒ $\beta=30°$ So, $\cos(\alpha+\beta)=\cos(30°+30°)=\cos60°=\frac{1}{2}$ Hence, the correct answer is $\frac12$.
Question : Directions: Out of the given words, three are similar in a certain manner. However, one word is NOT like the other three. Select the word which is different from the rest.
Option 1: Rupee
Option 2: Dhaka
Option 3: Dollar
Option 4: Euro
Correct Answer: Dhaka
Solution : Let's check each option – First option: Rupee; The currency used in several countries, including India, Pakistan, Nepal, Sri Lanka, etc. Second option: Dhaka; Dhaka is the capital city of Bangladesh, and it is not a currency. Third option: Dollar; A currency used in several
Question : Which of the following is an example of Phylum-Annelida?
Option 1: Hookworm
Option 2: Filaria worm
Option 3: Earthworm
Option 4: Roundworm
Correct Answer: Earthworm
Solution : The correct option is Earthworm.
Annelids are segmented worms, and the Earthworm belongs to this phylum. The Earthworms are segmented worms with a well-developed coelom, a closed circulatory system, and a complete digestive system. Hookworms and Roundworms belong to the phylum Nematoda. Filaria worms
Question : Improve the underlined part of the sentence. Choose ‘No Improvement’ as an answer if the sentence is grammatically correct.
The early morning flight is the lest expensive.
Option 1: least’s expensive
Option 2: least expensive
Option 3: lastly expensive
Option 4: No Improvement
Correct Answer: least expensive
Solution : The correct choice is the second option.
Least is the superlative form of the adjective less, used to compare three or more things.
Lest is a conjunction meaning for fear that or in case, and it doesn’t fit in this context, as it's
Question : Choose the word that means the same as the given word.
Nark
Option 1: Reassure
Option 2: Irritate
Option 3: Solace
Option 4: Obligation
Correct Answer: Irritate
The verb nark is a colloquial expression that means to annoy, irritate, or make someone angry. The synonym for nark is irritate, which conveys the idea of provoking or annoying.
The meanings of the other options are
Question : Upon selling an article at $\frac{3}{7}$ of the marked price, a loss of 30% is incurred. What is the ratio between the marked price and the cost price of the article?
Option 1: 48 : 60
Option 2: 49 : 30
Option 3: 25 : 37
Option 4: 50 : 80
Correct Answer: 49 : 30
Solution : Let the cost price be Rs. 100 Selling price when sold at 30% loss = Rs. 70 Selling price = $\frac{3}{7}$ of Marked price ⇒ Marked price = $\frac{7}{3}$ of Selling price = 70 × ($\frac{7}{3})$ = $\frac{490}{3}$ Required ratio = $\frac{\frac{490}{3}}{100}=49:30$ Hence,
Question : What sum will become INR 9,826 in 18 months if the rate of interest is $2 \frac{1}{2} \%$ per annum and the interest is compounded half-yearly?
Option 1: INR 9,392.00
Option 2: INR 9,444.00
Option 3: INR 9,512.45
Option 4: INR 9,466.55
Correct Answer: INR 9,466.55
Solution : Let the required sum i.e. the principal, be INR P. We have, Principal = P, Amount = INR 9826, R = $2\frac{1}{2}$% per annum and n = 18 months = $\frac{18}{12}$ years = $\frac{3}{2}$ years $\text{Total Amount}=\text{Principal}×(1+\frac{\text{Rate}}{100})^{\text{Time}}$ $⇒ 9826 = P(1+\frac{\frac{5}{2}}{200})^{3}$ $⇒9826=P(1+\frac{1}{80})^3$ $⇒9826=P(\frac{81}{80})^3$ $\therefore
Question : Which of the following is a transfer payment? (a) Unemployment allowances (b) Scholarships (c) Retirement pension
Option 1: Only (a)
Option 2: All of the above
Option 3: Only (a) and (b)
Option 4: Only (c)
Correct Answer: All of the above
Solution : The correct option is All of the above.
Transfer payments are typically made to redistribute income, provide assistance, or support specific groups in the population.
Unemployment allowances involve providing financial assistance to unemployed individuals, and they don't involve a direct exchange
Question : Balkar Sidhu was awarded the Sangeet Natak Akademi Award 2020 for his contribution to_________.
Option 1: folk dance of Punjab
Option 2: Manipuri
Option 3: chhau
Option 4: folk dance of Maharashtra
Correct Answer: folk dance of Punjab
Solution : The correct option is a folk dance of the Punjab.
Balkar Sidhu received the Sangeet Natak Akademi Award 2020 for his contribution to the folk dance of Punjab.
The Sangeet Natak Akademi Award is a prestigious honour given by the Sangeet
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2), and (3) that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
She does not tell lies, doesn’t she?
(1) Isn’t she?
(2) Does she?
(3) Didn’t she?
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The sentence can be improved using the second option.
Does she will replace doesn't she to convey the intended meaning of the sentence. In negative statements, question tags take the positive form. A question tag is a very short clause at the end of a
The Question containing Inaapropriate or Abusive Words
Question lacks the basic details making it difficult to answer
Topic Tagged to the Question are not relevant to Question
Question drives traffic to external sites for promotional or commercial purposes
The Question is not relevant to User
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