Staff Selection Commission Combined Graduate Level Exam
Question : Direction: Two years ago, Aadhya was three times as old as his son, and two years hence, twice her age will be equal to five times that of her son. Find Aadhya's present age.
Option 1: 38 years
Option 2: 36 years
Option 3: 34 years
Option 4: 42 years
Correct Answer: 38 years
Solution : Let the present age of the son be x years.
Two years ago, Aadhya was three times as old as his son, the equation becomes
⇒ Aadhya's age two years ago = 3 (x – 2) = 3x – 6
⇒ Aadhya's present age = 3x – 4
Two years hence, twice her age will be equal to five times that of her son
⇒ 2 (3x – 2) = 5 (x + 2)
⇒ 6x – 4 = 5x + 10
⇒ x = 14
Aadhya's present age = 3x – 4 = (3 x 14) – 4 = 38 years.
Hence, option first is correct.
Question : Select the option that expresses the given sentence in passive voice. Does she know me?
Option 1: Am I known by her?
Option 2: Is she known to me?
Option 3: Is she known by me?
Option 4: Am I known to her?
Correct Answer: Am I known to her?
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 subject in the passive voice.
The structure of the passive sentence in the case of the simple present interrogative sentence is: "Am + singular object + past participle form of the main verb + prepositional phrase?"
Therefore, the passive voice sentence would be: "Am I known to her?"
Question : Directions: Some equations have been solved on the same basis as a certain system. Find out the correct answer for the unsolved equation on that basis. If 98 – 39 – 27 = 31, 87 – 38 – 34 = 20, then 79 – 25 – 12 = ?
Option 1: 51
Option 2: 22
Option 3: 42
Option 4: 15
Correct Answer: 51
Solution : Given: 98 – 39 – 27 = 31; 87 – 38 – 34 = 20
Multiply the digits of each number of the L.H.S. and then subtract them to get the R.H.S. Like, 98 – 39 – 27 = 31→(9 × 8) – (3 × 9) – (2 × 7) = 72 – 27 – 14 = 31 And, 87 – 38 – 34 = 20→(8 × 7) – (3 × 8) – (3 × 4) = 56 – 24 – 12 = 20 Similarly, follow the same pattern for 79 – 25 – 12→(7 × 9) – (2 × 5) – (1 × 2) = 63 – 10 – 2 = 51
Hence, the first option is correct.
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 to the question, 11x = 55 $\therefore$ x = 5 Number of female pupils = 6x = 6 × 5 = 30 Hence, the correct answer is 30.
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; 144 – 35 = 109
So, 172 is the missing number of the series. Hence, the first option is correct.
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 system resulted in an advancement in electrical research.
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 BC. The concept of zero was thus invented by Aryabhatta.
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:
Therefore, the correct sentence is: They saw the beautiful idols of the gods in the temples.
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 courts have construed it to cover a variety of human rights and individual liberties.
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.
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