Staff Selection Commission Combined Graduate Level Exam
Question : In a right-angled triangle PQR, right-angled at Q, the length of the side PR is 17 units, the length of the base QR is 8 units, and the length of the side PQ is 15 units. If $\angle RPQ = \sin\alpha $, then $\sin\alpha + \cos\alpha$ is:
Option 1: $\frac{18}{17}$
Option 2: $\frac{23}{17}$
Option 3: $\frac{21}{17}$
Option 4: $\frac{15}{17}$
Correct Answer: $\frac{23}{17}$
Solution : Given, triangle PQR is right-angled at Q with $\angle$RPQ = $\alpha$ PR is 17 units, QR = 8 units, and PQ = 15 units $\sin\alpha+\cos\alpha$ = $\frac{\text{QR}}{\text{PR}}+\frac{\text{PQ}}{\text{PR}}$ = $\frac{8}{17}+\frac{15}{17}$ = $\frac{23}{17}$ Hence, the correct answer is $\frac{23}{17}$.
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.
Her parents will never give their _________ to such an unsuitable match.
Option 1: acquiescence
Option 2: consent
Option 3: agreement
Option 4: willingness
Correct Answer: consent
Solution : The correct answer is in option two.
The correct sentence is: "Her parents will never give their consent to such an unsuitable match."
Consent means permission for something to happen. In this context, it means that the speaker's parents will never give their permission for
Question : Direction: Study the bar diagram and answer the following question. The bar diagram shows the number of bicycles parked in the parking space of a hall at various points in time.
How many times, as mentioned in the graph, is the number of parked cycles above average?
Option 1: 3
Option 2: 4
Option 3: 5
Option 4: 6
Correct Answer: 6
Solution : The number of cycles = 95 + 75 + 85 + 65 + 75 + 55 + 65 + 45 + 55 + 35 + 45 + 25 = 720. Total time = 12 hours The average number of cycles parked = $\frac{\text {Total number
Question : A and B can do a piece of work in nine days. If A does three times the work of B in a given time, the time A alone will take to finish the work is:
Option 1: 4 days
Option 2: 6 days
Option 3: 8 days
Option 4: 12 days
Correct Answer: 12 days
Solution : Given: According to the question, the ratio of 1 day of work of A and B is 3 : 1. Let, the total work done in 9 days = 9 × (3 + 1) = 36 units Work done = Efficiency × Time So,
Question : Directions: A paper is folded and cut as shown below. How will it appear when unfolded?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : When the given folded paper is unfolded, it will look like –
Hence, the third option is correct.
Question : In December 2021, the Supreme Court suspended OBC quotas for local body elections in which of the following states?
Option 1: West Bengal and Odisha
Option 2: Maharashtra and Madhya Pradesh
Option 3: Bihar and Uttar Pradesh
Option 4: Andhra Pradesh and Karnataka
Correct Answer: Maharashtra and Madhya Pradesh
Solution : The correct option is Maharashtra and Madhya Pradesh.
In December 2021, the Supreme Court expressed concerns over the lack of empirical data supporting OBC quotas for local body elections in Maharashtra and Madhya Pradesh. However, it did not immediately suspend the
Question : Find the area of an equilateral triangle whose sides are 16 cm.
Option 1: $60\sqrt{3}\mathrm{~cm}^2$
Option 2: $62\sqrt{3} \mathrm{~cm}^2$
Option 3: $64\sqrt{3} \mathrm{~cm}^2$
Option 4: $66\sqrt{3} \mathrm{~cm}^2$
Correct Answer: $64\sqrt{3} \mathrm{~cm}^2$
Solution : Length of a side of the given equilateral triangle $= 16$ cm. As the area of an equilateral triangle is $\frac{\sqrt{3}}4a^2$ where $a$ is one side. So, area $=\frac{\sqrt3}{4}\times 16^2 = 64\sqrt3$ cm2. Hence, the correct answer is $64\sqrt{3} \mathrm{~cm}^2$.
Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".
What make people angry or tense is actually a mystery, which is difficult to explain.
(1) No Error
(2) What make people angry
(3) or tense is actually a mystery
(4) which is difficult to explain.
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The error lies in the second option of the question.
A singular verb should be used with a singular subject, and here, what is used in the singular sense. Thus, make before "people angry" should be replaced with makes.
The correct sentence is: "What
Question : Select the correct passive form of the given sentence. They will lay the foundation stone next week.
Option 1: The foundation stone will have been laid by them next week.
Option 2: The foundation stone is being laid by them next week.
Option 3: The foundation stone will be laying by next week.
Option 4: The foundation stone will be laid by them next week.
Correct Answer: The foundation stone will be laid by them next week.
Solution : The correct choice is the fourth option.
Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active sentence becomes the
Question : First Hindu-American to enter in the US House of Representative as senator is :
Option 1: Sunita Williams
Option 2: Jyoti Sengupta
Option 3: Ami Bera
Option 4: Tulsi Gabbard
Correct Answer: Tulsi Gabbard
Solution : The Correct Answer is Tulsi Gabbard
Tulsi Gabbard, a veteran and four-term representative from Hawaii, has held office in the House of Representatives. Tulsi Gabbard was elected to the U.S. House of Representatives and is one of the first women to serve in combat.
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