Staff Selection Commission Combined Graduate Level Exam
Question : If a number K = 42 × 25 × 54 × 135 is divisible by 3a, then find the maximum value of a.
Option 1: 6
Option 2: 7
Option 3: 4
Option 4: 5
Correct Answer: 7
Solution : Given number, K = 42 × 25 × 54 × 135 = 3 × 14 × 25 × 33 × 2 × 33 × 5 ⇒ K = 37 × 14 × 25 × 2 × 5 So, the maximum power of
Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No Error".
He asked me (1) / when could I finish (2) / the work. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The error lies in the second part of the sentence.
This is a case of indirect speech. The general pattern in reporting a question is that a question is changed to the statement, so "could" should come after the subjective pronoun "I". Thus, "could I"
Question : The HCF of $\frac{1}{2}, \frac{3}{4}, \frac{5}{6},$ and $\frac{7}{8}$ is:
Option 1: $\frac{105}{2}$
Option 2: $\frac{1}{24}$
Option 3: $\frac{7}{24}$
Option 4: $\frac{1}{48}$
Correct Answer: $\frac{1}{24}$
Solution : Given: $\frac{1}{2}, \frac{3}{4}, \frac{5}{6},$ and $\frac{7}{8}$ HCF of fractions = $\frac{\text{HCF of numerators}}{\text{LCM of denominators}}$ = $\frac{\text{HCF of 1,3,5,7}}{\text{LCM of 2,4,6,8}}$ = $\frac{1}{24}$ Hence, the correct answer is $\frac{1}{24}$.
Question : In honour of an Indian musician, the US state of Massachusetts proclaimed 20 April as ____________in 1984.
Option 1: Sakhawat Hussain Day
Option 2: Sharan Rani Backliwal Day
Option 3: Amjad Ali Khan Day
Option 4: Allauddin Khan Day
Correct Answer: Amjad Ali Khan Day
Solution : The correct option is Amjad Ali Khan Day.
In 1984, Massachusetts declared April 20 to be Amjad Ali Khan Day. He is a renowned Indian classical musician known for his mastery of the sarod. Amjad Ali Khan has received numerous awards and
Question : _______ is the process of complete or incomplete oxidation or hydrolysis of fats and oils when exposed to air, light, moisture, or bacterial action that spoils food.
Option 1: Rancidification
Option 2: Hydrogenation
Option 3: Auto-oxidation
Option 4: Auto reduction
Correct Answer: Rancidification
Solution : The correct answer is Rancidification.
Rancidification, also known as rancidity, is the complete or partial oxidation or hydrolysis of fats and oils when exposed to air, light, moisture, or bacterial action. This process spoils fat-containing food goods, resulting in disagreeable tastes and odours.
Question : Comprehension:
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
As writers, we live life twice, like (1) _________ cow that eats its food once and then regurgitates it to chew and digest (2) __________ again. We have a second chance (3)_________ biting into our experience and examining it. This is our life and it's not going to last forever. There isn't time to talk about someday writing that short story, poem, or novel. Slow down now, touch what is (4) __________ you, and out of care and compassion for (5)__________ moment and detail, put pen to paper and begin to write.
Select the most appropriate option to fill in the blank number 1.
Option 1: any
Option 2: a
Option 3: some
Option 4: as
Correct Answer: a
Solution : The correct choice is the second option.
The article "a" is used before the noun "cow" in the sentence "like a cow" to indicate that we are referring to any cow in general rather than a specific cow.
In this context, the comparison being
Question : As mentioned in the Government of India's Economic Survey 2022-23, Aadhaar is an essential tool for social delivery of how many Central Schemes as notified under Section 7 of the Aadhaar Act, 2016?
Option 1: 228
Option 2: 564
Option 3: 318
Option 4: 720
Correct Answer: 318
Solution : The correct answer is 318.
Aadhaar is a crucial tool for the state's delivery of social services. Aadhaar is used in several programs like Direct Benefit Transfer, Aadhaar Enabled Payment Systems, JAM (Jan-Dhan, Aadhaar, and Mobile) Trinity, One Nation One Ration Card, and CoWIN for
Question : Directions: In the following question, two statements are given, followed by two conclusions, I and II. You have to consider the statements to be true even if they are seen to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements. Statements: 1. All dawns are day. 2. No day is night. Conclusions: I. No night is day. II. Some dawns are night.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Both I and II follow
Option 4: Neither I nor II follows
Correct Answer: Only conclusion I follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): No night is day – From the diagram, we can see that circles representing night and day have a negative relation between
Question : Directions: A series is given with one term missing. Select the correct alternative from the given ones that will complete the series. ABCD, FVJV, KPQN, PJXF, ?
Option 1: UDQE
Option 2: RQTS
Option 3: UDEX
Option 4: EQRT
Correct Answer: UDEX
Solution : Given: ABCD, FVJV, KPQN, PJXF, ?
Add 5 and 7 in the place value of the first and the third letters and subtract 6 and 8 from the place value of the second and fourth letters of the previous term to obtain the next term.
Question : The lengths of the three medians of a triangle are $9\;\mathrm{cm}$, $12\;\mathrm{cm}$, and $15\;\mathrm{cm}$. The area (in $\mathrm{cm^2}$) of the triangle is:
Option 1: $24$
Option 2: $72$
Option 3: $48$
Option 4: $144$
Correct Answer: $72$
Solution : The area of a triangle in terms of its medians, Area $=\frac{4}{3} \sqrt{s(s - m_1)(s - m_2)(s - m_3)}$ where $m_1$, $m_2$ and $m_3$ are the lengths of the medians, and $s$ is the semi-perimeter of the medians, which is $s = \frac{m_1 + m_2
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