Staff Selection Commission Combined Graduate Level Exam
Question : Select the most appropriate ANTONYM of the underlined word.
I understand your plight.
Option 1: Predicament
Option 2: Dilemma
Option 3: Quandary
Option 4: Advantage
Correct Answer: Advantage
Solution : The correct choice is the fourth option.
The word plight typically refers to a difficult or unfavourable situation, often suggesting someone is facing challenges, difficulties, or adversity.
Conversely, advantage represents a favourable or beneficial situation. Therefore, "advantage" is the antonym of "plight" because it signifies
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".
All they need to do is feed their contact (1) / details, feed the IMEI number to receiving (2) / an OTP on their mobile. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The correct choice is the second option.
The verb "receive" should be used instead of "receiving" following the infinitive form rule (to + base form of the verb). “Receiving” is a gerund here and cannot be preceded by “to”. So, the infinitive “to receive”
Question : Comprehension:
Read the passage and answer the questions that follow.
The first time that Agha Shahid Ali spoke to me about his approaching death was on 25 April 2001. The conversation began routinely. I had telephoned to remind him that we had been invited to a friend’s house for lunch. Although he had been under treatment for cancer for some fourteen months, Shahid was still on his feet and perfectly lucid, except for occasional lapses of memory. I heard him thumbing through his engagement book and then suddenly he said: ‘Oh dear. I can’t see a thing.’ There was a brief pause and then he added: ‘I hope this doesn’t mean that I’m dying...’ I did not know how to respond: his voice was completely at odds with the content of what he had just said, light to the point of jocularity. I mumbled something innocuous: ‘No Shahid — of course not. You’ll be fine.’ He cut me short. In a tone of voice that was at once quizzical and direct, he said: ‘When it happens I hope you’ll write something about me.’
I was shocked into silence and a long moment passed before I could bring myself to say the things that people say on such occasions. ‘Shahid you’ll be fine; you have to be strong...’From the window of my study, I could see a corner of the building in which he lived, some eight blocks away. It was just a few months since he moved there: he had been living a few miles away, in Manhattan, when he had a sudden blackout in February 2000. After tests revealed that he had a malignant brain tumour, he decided to move to Brooklyn, to be close to his youngest sister, Samantha, who teaches at the Pratt Institute—a few blocks away from the street where I live. Shahid ignored my reassurances. He began to laugh and it was then that I realised that he was dead serious. I understood that he was entrusting me with a quite specific charge: he wanted me to remember him not through the spoken recitatives of memory and friendship, but through the written word.
He knew that my instincts would have led me to search for reasons to avoid writing about his death: I would have told myself that I was not a poet; that our friendship was of recent date; that there were many others who knew him much better and would be writing from greater understanding and knowledge. All this Shahid had guessed and he had decided to shut off those routes while there was still time. ‘You must write about me.’ Finally, I said: ‘Shahid, I will: I’ll do the best I can.’
Question:
Shahid was perfectly ‘lucid’. This suggests he was:
Option 1: confused
Option 2: in a delirium
Option 3: speaking coherently
Option 4: not intelligible
Correct Answer: speaking coherently
Solution : The third option is correct.
Let's have a look at the meanings of the given word and the marked option. Lucid means expressed clearly and easy to understand. Coherently means in reference to speech in a clear and understandable way.
Thus, the term lucid
Question : If $5\cos\theta+12\sin\theta=13,\ 0^0<\theta<90^0$, then the value of $\sin\theta$ is:
Option 1: $\frac{5}{13}$
Option 2: $–\frac{12}{13}$
Option 3: $\frac{6}{13}$
Option 4: $\frac{12}{13}$
Correct Answer: $\frac{12}{13}$
Solution : Given: $5\cos\theta+12\sin\theta=13,\ 0^0<\theta<90^0$ Here, $5\cos\theta+12\sin\theta=13$ ⇒ $(\frac{5}{13})\cos\theta+(\frac{12}{13})\sin\theta=1$ Comparing it with $\cos^2\theta+\sin^2\theta=1$ we get, $\cos\theta=\frac{5}{13}$ and $\sin\theta=\frac{12}{13}$ Hence, the correct answer is $\frac{12}{13}$.
Question : What is the ratio between the HCF and LCM of the numbers whose LCM is 48 and the product of the numbers is 384?
Option 1: 1 : 4
Option 2: 1 : 6
Option 3: 1 : 3
Option 4: 2 : 5
Correct Answer: 1 : 6
Solution : Let the HCF be a. We know that, HCF × LCM = Product of two numbers ⇒ 48 × a = 384 $\therefore$ a = 8 $\therefore$ HCF : LCM = 8 : 48 = 1 : 6 Hence, the correct answer is
Question : Directions: Select the option in which the following figure is embedded. (Rotation is NOT allowed)
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of all the option figures, the given question figure is embedded only in the first option figure.
Hence, the first option is correct.
Question : A six-digit number is divisible by 33. If 54 is added to the number, then the new number formed will also be divisible by:
Option 1: 3
Option 2: 2
Option 3: 5
Option 4: 7
Correct Answer: 3
Solution : A six-digit number is divisible by 33. Let the number be $x$. So, that digit is also divided by the factor of 33, which is 3, 11. If 54 is added then the number will be $x + 54$. Factors of 54 are 2, 3,
Question : If $x+\frac{1}{x}=9$, find $x^4+\frac{1}{x^4}$.
Option 1: 5431
Option 2: 6561
Option 3: 6156
Option 4: 6239
Correct Answer: 6239
Solution : Given: $x+\frac{1}{x} = 9$ Squaring both sides of the given equation, we get, $⇒(x+\frac{1}{x})^2 = 9^2$ $⇒(x^2+\frac{1}{x^2}+2) =81$ $⇒(x^2+\frac{1}{x^2}) = 79$ Again, squaring both sides of the above equation, we get, $⇒(x^2+\frac{1}{x^2})^2 = (79)^2$ $⇒(x^4+\frac{1}{x^4}+2) = 6241$ $⇒(x^4+\frac{1}{x^4}) = 6239$ Hence, the correct answer is
Question : Simplify $\frac{\cos 45^{\circ}}{\sec 30^{\circ}+\operatorname{cosec} 30^{\circ}}$
Option 1: $\frac{3 \sqrt{2}+\sqrt{6}}{8}$
Option 2: $\frac{\sqrt{3}}{2 \sqrt{2}-2 \sqrt{6}}$
Option 3: $\frac{3 \sqrt{2}-\sqrt{6}}{8}$
Option 4: $\frac{\sqrt{3}}{2 \sqrt{6}-2 \sqrt{2}}$
Correct Answer: $\frac{3 \sqrt{2}-\sqrt{6}}{8}$
Solution : $\frac{\cos 45^{\circ}}{\sec 30^{\circ}+\operatorname{cosec} 30^{\circ}}$ = $\frac{\frac{1}{\sqrt{2}}}{\frac{2}{\sqrt{3}}+2}$ = $\frac{\sqrt{3}}{2\sqrt{2}(\sqrt{3}+1)}$ = $\frac{\sqrt{3}}{2\sqrt{2}(\sqrt{3}+1)}\times\frac{\sqrt{2}(\sqrt{3}-1)}{\sqrt{2}(\sqrt{3}-1)}$ = $\frac{3 \sqrt{2}-\sqrt{6}}{8}$ Hence, the correct answer is $\frac{3 \sqrt{2}-\sqrt{6}}{8}$.
Question : 25 men and 45 women can complete a piece of work in 15 days, while 15 men and 60 women can complete it in 20 days. In how many days can 69 men and 67 women complete the work?
Option 1: 10
Option 2: 5
Option 3: 8
Option 4: 6
Correct Answer: 6
Solution : According to the question, they complete the same work ⇒ M1D1 = M2D2 ⇒ (25M + 45W) × 15 = (15M + 60W) × 20 ⇒ (25M + 45W) × 3 = (15M + 60W) × 4 ⇒ 75M
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
And never miss an important update