Staff Selection Commission Combined Graduate Level Exam
Question : The number of pupils in a class is 55. The ratio of the number of male pupils to the number of female pupils is 5 : 6. The number of female pupils is:
Option 1: 11
Option 2: 25
Option 3: 30
Option 4: 35
Correct Answer: 30
Solution : Given: The number of pupils in a class = 55 Ratio of male and female = 5 : 6 Let the number of male and female pupils be 5x and 6x, respectively. So, the total number of pupils = 5x + 6x = 11x According
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 214, 207, 193, ?, 144, 109
Option 1: 172
Option 2: 117
Option 3: 175
Option 4: 170
Correct Answer: 172
Solution : Given: 214, 207, 193, ?, 144, 109
In the above-given series, subtract the multiples of 7 from the previous number to get the next number. 214 – 7 = 207; 207 – 14 = 193; 193 – 21 = 172; 172 – 28 = 144;
Question : When did Carl Friedrich Gauss and Wilhelm Eduard Weber invent the world's first electromagnetic telegraph?
Option 1: 1833
Option 2: 1832
Option 3: 1830
Option 4: 1831
Correct Answer: 1833
Solution : The correct answer is 1833.
Carl Friedrich Gauss and Wilhelm Eduard Weber invented the first electromagnetic telegraph in 1833. Weber was appointed physics professor in Gottingen in 1831, having completed his studies in Halle and Gottingen. His attempts to create an absolute electrical unit
Question : The number system 'Zero' was invented by
Option 1: Ramanujam
Option 2: Arybhatta
Option 3: Patanjali
Option 4: An unknown person
Correct Answer: Arybhatta
Solution : Correct Answer is Aryabhatta
The concept of zero was transmitted from India and Babylon to Greece, Persia, and the Arab world over the course of hundreds of years. Zero was first used in calculations by Aryabhatta in the fifth century and Brahmagupta sometime around 628
Question : Select the word with the correct spelling from the options given below to fill in the blank.
They saw the beautiful _______ of the Gods in the Temples.
Option 1: idols
Option 2: idoles
Option 3: ideals
Option 4: idles
Correct Answer: idols
Solution : The correct choice is the first option.
Idols: Objects of adoration or worship, often referring to religious or celebrity figures.
The meanings of the other options are as follows:
Question : KA Najeeb Vs Union of India case deals with violation of rights under_____.
Option 1: Article 16
Option 2: Article 21
Option 3: Article 14
Option 4: Article 19
Correct Answer: Article 21
Solution : The correct answer is Article 21.
The KA Najeeb vs. Union of India case is primarily concerned with a breach of Article 21 of the Indian Constitution. Article 21 of the Indian Constitution provides the right to life and personal liberty, and the
Question : If $(x-2)(x-p) = x^2-ax+6$, then the value of $(a - p)$ is:
Option 1: 0
Option 2: 1
Option 3: 2
Option 4: 3
Correct Answer: 2
Solution : Given: $(x-2)(x-p) = x^2-ax+6$ ⇒ $x^2-px-2x+2p=x^2-ax+6$ ⇒ $x^2-(p+2)x+2p=x^2-ax+6$ By comparing both sides of the equation, $p+2=a$ ⇒ $a-p=2$ Hence, the correct answer is 2.
Question : A alone can finish a work in 15 days. A works only for the first two days and the last two days. The rest work is done by B and the work is completed in 20 days. In how many days A and B together can finish the work?
Option 1: $\frac{90}{8}$
Option 2: $\frac{80}{7}$
Option 3: $\frac{80}{9}$
Option 4: $\frac{70}{8}$
Correct Answer: $\frac{80}{9}$
Solution : Time taken by A alone to do the work = 15 Work done by A alone in a day = $\frac{1}{15}$ Work done by A in the first and last two days = $\frac{4}{15}$ Work done by B in 16 days = 1 – $\frac{4}{15}$
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).
You can't avoid notifying the building while travelling.
(1) avoid to look
(2) avoid to noticing
(3) avoid noticing
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The third option is the correct choice for the sentence.
In this context, avoid noticing is the appropriate phrase because it conveys the idea that we cannot refrain from observing or paying attention to the building while travelling.
The other options, avoid to look and
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: All Tim is Jack. No Jack is Ben. Some Ben is Ruth. Conclusions: I. No Ruth is Jack. II. Some Ben is Jack. III. No Ben is Tim.
Option 1: Only conclusions I and II follow
Option 2: Only conclusion III follows
Option 3: Only conclusion I follows
Option 4: Only conclusions I and III follow
Correct Answer: Only conclusion III follows
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): No Ruth is Jack – From the Venn diagram, it is evident that there is no direct relation between Ruth and Jack.
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