Staff Selection Commission Combined Graduate Level Exam
Question : The value of $(\frac{1}{\sin\theta}+\frac{1}{\tan\theta})(\frac{1}{\sin\theta}-\frac{1}{\tan\theta})$ is:
Option 1: 0
Option 2: 2
Option 3: 3
Option 4: 1
Correct Answer: 1
Solution : Given: $(\frac{1}{\sin\theta}+\frac{1}{\tan\theta})(\frac{1}{\sin\theta}-\frac{1}{\tan\theta})$ $= (\operatorname{cosec}\theta+\cot\theta)(\operatorname{cosec}\theta-\cot\theta)$ $=\operatorname{cosec}^2\theta-\cot^2\theta$ $= 1$ Hence, the correct answer is 1.
Question : Directions: In the following question, find the odd number pair from the given alternatives.
Option 1: 46 – 52
Option 2: 56 – 62
Option 3: 66 – 72
Option 4: 76 – 84
Correct Answer: 76 – 84
Solution : Let's check the options – First option: 46 – 52→52 – 46 = 6 Second option: 56 – 62→62 – 56 = 6 Third option: 66 – 72→72 – 66 = 6 Fourth option: 76 – 84→84 – 76 = 8 ≠ 6
Question : The lateral surface area of a frustum of a right circular cone, if the area of its base is 16$\pi$ cm2, the diameter of the circular upper surface is 4 cm and the slant height is 6 cm, will be:
Option 1: $30\pi$ cm2
Option 2: $48\pi$ cm2
Option 3: $36\pi$ cm2
Option 4: $60\pi$ cm2
Correct Answer: $36\pi$ cm2
Solution : Given: Upper diameter = 4 cm Let the radius of the top surface be $r$. $\therefore r = \frac{4}{2} = 2$ cm Given that, the area of the base $=16\pi$ $⇒\pi R^2 = 16\pi$, where $R$ is the radius of base $\therefore R
Question : Given below are four jumbled sentences. Select the option that gives their correct logical sequence. A. When faced with uncertainty, humans look out for the action of others and become a victim of ineffective rational thinking during compelling, confusing situations. B. According to him, in an emergency, we tend to forget that everybody else observing the event is also likely to be looking out for social evidence. C. Robert B. Cialdini explains this reaction with a psychological phenomenon called 'pluralistic ignorance'. D. Since we all prefer to appear poised and unflustered among others, we are likely to search for answers placidly, with brief, camouflaged glances at those around us.
Option 1: ACBD
Option 2: BCDA
Option 3: ABCD
Option 4: ABDC
Correct Answer: ACBD
Solution : The first option is correct.
The sequence begins by describing human behaviour in uncertain situations, followed by the explanation of pluralistic ignorance by Robert B. Cialdini. Then, it discusses the tendency to forget about others observing for social evidence during emergencies, and finally, it explains
Question : Where was the first All India Kisan Sabha formed?
Option 1: Lucknow
Option 2: Lahore
Option 3: Amritsar
Option 4: Delhi
Correct Answer: Lucknow
Solution : The correct option is Lucknow.
In 1936, the first All India Kisan Sabha was organised in Lucknow. It was an Indian peasant movement that organised and campaigned for peasants' rights against the Zamindari system and the British colonial administration. Swami Sahajanand Saraswati, N. G. Ranga,
Question : Directions: Ram leaves his house at 20 minutes to seven in the morning, and reaches Kunal's house in 25 minutes. They finish their breakfast in another 15 minutes and leave for their office which takes another 35 minutes. At what time do they leave Kunal's house to reach their office?
Option 1: 7:40 a.m.
Option 2: 7:20 a.m.
Option 3: 7:45 a.m.
Option 4: 8:15 a.m.
Correct Answer: 7:20 a.m.
Solution : Here, calculate the time step by step by following the steps –
1. Ram leaves his house at 20 minutes to seven in the morning, which means at 6:40 a.m. 2. Ram reaches Kunal's house in 25 minutes means at 6:40 a.m. + 25
Question : A can do a piece of work in 8 days and B can do it in 10 days separately. How many days would it take for both A and B to finish the same work together?
Option 1: $\frac{33}{8}$
Option 2: $\frac{40}{9}$
Option 3: $\frac{41}{10}$
Option 4: $\frac{42}{11}$
Correct Answer: $\frac{40}{9}$
Solution : Given: A can do a piece of work in 8 days and B can do it in 10 days separately. So, in 1 day A and B alone can do $\frac{1}{8}$ part and $\frac{1}{10}$ part of the work, respectively. Now, together in 1 day they
Question : Direction: If each of the letters in the English alphabet is assigned an even numerical value by giving A =2, B = 4, and so on, what would be the total value of the letters for the word LADY when similarly coded?
Option 1: 82
Option 2: 74
Option 3: 72
Option 4: 84
Correct Answer: 84
Solution : Given:
A = 2; B = 4
Let's find the even numerical value of all alphabets →
Question : Directions: If A = 26 and X-RAY = 40, then WHAT = ?.
Option 1: 52
Option 2: 54
Option 3: 56
Option 4: 58
Correct Answer: 56
Solution : Given: A = 26 and X-RAY = 40
Add the place value of the opposite letters, to get the required code – Like, the opposite letter of A→Z The place value of Z→26 Thus, A is coded as 26. The opposite letters of the letters
Question : Select the option that can be used as a one-word substitute for the given group of words. A formal agreement between two or more nations or peoples
Option 1: Pact
Option 2: Concord
Option 3: Bond
Option 4: Charter
Correct Answer: Pact
Solution : The correct choice is the first option.
Pact is the most appropriate one-word substitute for a formal agreement between nations or peoples because it directly conveys the idea of a formal agreement or treaty.
The meanings of the other options are as follows:
Concord: Agreement,
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