Staff Selection Commission Combined Graduate Level Exam
Question : Directions: In the following question a series is given, with one number missing. Select the missing number from the given alternatives. 1357, 3085, 5282, 8026, ?
Option 1: 9961
Option 2: 10441
Option 3: 11321
Option 4: 11401
Correct Answer: 11401
Solution : Given: 1357, 3085, 5282, 8026, ?
Let's apply the pattern – 1357 + (12)3 = 1357 + 1728 = 3085 3085 + (13)3 = 3085 + 2197 = 5282 5282 + (14)3 = 5282 + 2744 = 8026 8026 + (15)3
Question : Directions: Which two signs and two numbers should be interchanged to make the following equation correct? 840 ÷ 38 – 7 + 10 × 12 = 462
Option 1: 12 and 10, ÷ and +
Option 2: 12 and 38, × and –
Option 3: 12 and 7, + and ×
Option 4: 840 and 10, + and –
Correct Answer: 12 and 38, × and –
Solution : Given: 840 ÷ 38 – 7 + 10 × 12 = 462
Let's check the options – First option: 12 and 10, ÷ and + On interchanging the numbers and signs, the equation becomes – 840 + 38 – 7
Question : If $2x-6\leq x-3$ and $1+3x<4x+4$, then $x$ can take which of the following values?
Option 1: 4
Option 2: –4
Option 3: –6
Option 4: 2
Correct Answer: 2
Solution : Given: $2x-6\leq x-3$ and $1+3x<4x+4$ Or, $2x-x\leq 6-3$ and $-4+1<4x-3x$ Or, $x\leq 3$ and $-3<x$ Or, $-3<x\leq 3$ Amongst all the given values, 2 satisfies the above condition. Hence, the correct answer is 2.
Question : Directions: Consider the given statements to be true and decide which of the given conclusions can be drawn from the given statements. Statements: 1. No man is a donkey. 2. Ajay is a man. Conclusions: I. Ajay is not a donkey. II. All men are not Ajay.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Both conclusion I and conclusion II follow
Option 4: Neither conclusion I nor conclusion II follows
Correct Answer: Only conclusion I follows
Solution : As per the given information, let's analyse the conclusions – Conclusion I: Ajay is not a donkey – Based on the given statements, Ajay is a man, and no man is a donkey. Therefore, from this, it can be concluded that Ajay
Question : Which of the following elements has variable valency?
Option 1: Iron
Option 2: Sodium
Option 3: Sulphur
Option 4: Magnesium
Correct Answer: Iron
Solution : The correct option is Iron.
Elements with variable valency are typically found in transition metals and some non-metals. Iron is a chemical element with the symbol Fe and atomic number 26. Iron is a silvery-grey, lustrous metal with a high melting point. It is known
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.
I have been ______this problem since noon.
Option 1: working into
Option 2: working on
Option 3: working for
Option 4: with after
Correct Answer: working on
Solution : The correct choice is the second option.
Explanation: "Working on" is a commonly used phrase to indicate that someone is actively engaged in solving or addressing a problem, task, or project.
So, the sentence would be: "I have been working on this problem since
Question : Who among the following is popularly known as ' Blade Runner ' ?
Option 1: Usain Bolt
Option 2: Oscar Carl Pistorious
Option 3: Carl Lewis
Option 4: Ben Johnson
Correct Answer: Oscar Carl Pistorious
Solution : The correct option is - Oscar Carl Pistorious.
Oscar Pistorius, a sprinter from South Africa, is referred to as the "Blade Runner" since he is an amputee and uses prosthetic legs to run. In 2012, he made Olympic history by becoming the first
Question : When $2x+\frac{2}{x}=3$, then the value of ($x^3+\frac{1}{x^3}+2)$ is:
Option 1: $\frac{2}{7}$
Option 2: $\frac{7}{8}$
Option 3: $\frac{7}{2}$
Option 4: $\frac{8}{7}$
Correct Answer: $\frac{7}{8}$
Solution : Given: $2x+\frac{2}{x}=3$ ⇒ $x+\frac{1}{x}=\frac{3}{2}$ (Dividing both sides by 2) Now, $(x+\frac{1}{x})^3=(\frac{3}{2})^3$ (Taking cube on both sides) ⇒ $x^3+\frac{1}{x^3}+3×x×\frac{1}{x}(x+\frac{1}{x})=\frac{27}{8}$ ⇒ $x^3+\frac{1}{x^3}+3(\frac{3}{2})=\frac{27}{8}$ ⇒ $x^3+\frac{1}{x^3}=\frac{27}{8}–\frac{9}{2}$ ⇒ $x^3+\frac{1}{x^3}+2=\frac{27}{8}–\frac{9}{2}+2=\frac{27–36+16}{8}=\frac{7}{8}$ Hence, the correct answer is = $\frac{7}{8}$.
Question : Directions: In the following question, find the odd letter cluster from the given alternatives.
Option 1: CBED
Option 2: JILK
Option 3: TSVU
Option 4: VZXY
Correct Answer: VZXY
Solution : Let's check the options – First option: CBED; C – 1 = B; B + 3 = E; E – 1 = D Second option: JILK; J – 1 = I; I + 3 = L; L – 1 = K Third option: TSVU; T
Question : Select the most appropriate ANTONYM of the underlined word.
The antonym of a word is sometimes a prefix added to the actual word.
Option 1: metaverse
Option 2: synonym
Option 3: symphony
Option 4: metonymy
Correct Answer: synonym
Solution : The second option is correct.
Explanation: In this case, the antonym is synonym, the word itself. A synonym is a word that has the same or similar meaning as another word, while an antonym is a word that has the opposite meaning.
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