Staff Selection Commission Combined Graduate Level Exam
Question : If $\mathrm{A}=0.3 \overline{12}, \mathrm{~B}=0.4 \overline{15}$ and $\mathrm{C}=0.30 \overline{9}$, then what is the value of $A + B + C$?
Option 1: $\frac{1141}{1100}$
Option 2: $\frac{1097}{1100}$
Option 3: $\frac{1211}{1100}$
Option 4: $\frac{1043}{1100}$
Correct Answer: $\frac{1141}{1100}$
Solution : Given: $\mathrm{A}=0.3 \overline{12}, \mathrm{~B}=0.4 \overline{15}$ and $\mathrm{C}=0.30 \overline{9}$. Let $xyz$ be a three-digit number after the decimal. Then, if the first two digits of the calculation have a bar i.e. $0.x\overline{yz}=\frac{xyz–x}{990}$. Also, if there is a bar on just one digit i.e. $0.xy\overline{z}=\frac{xyz–xy}{900}$. $\mathrm{A}=0.3 \overline{12}$
Question : Rearrange the parts of the sentence in correct order. The researchers P. decision centres called the orbitofrontal Q. analysed the electrical activity recorded R. cortex and dorsal anterior cingulate cortex S. from neurons in two of the brain's
Option 1: QSPR
Option 2: RSPQ
Option 3: RPQS
Option 4: PQSR
Correct Answer: QSPR
Solution : The correct option is the first option.
Explanation: The sentence begins by stating that the researchers (Q) analysed the electrical activity recorded (S) from neurons in two of the brain's centers—specifically, the orbitofrontal cortex and dorsal anterior cingulate cortex (P). This order sets the
Question : The value of $\sqrt{–\sqrt{3}+\sqrt{3+8\sqrt{7+4\sqrt{3}}}}$ is:
Option 1: 2
Option 2: 4
Option 3: $\pm 2$
Option 4: –2
Correct Answer: 2
Solution : Given: $\sqrt{–\sqrt{3}+\sqrt{3+8\sqrt{7+4\sqrt{3}}}}$ $=\sqrt{–\sqrt{3}+\sqrt{3+8\sqrt{(\sqrt{3})^{2}+2^{2}+2×2\sqrt{3}}}}$ $=\sqrt{–\sqrt{3}+\sqrt{3+8\sqrt{{3}}+16}}$ $=\sqrt{–\sqrt{3}+\sqrt{(\sqrt{3})^{2}+4^{2}+2×4×\sqrt{3}}}$ $=\sqrt{–\sqrt{3}+\sqrt{3}+4}$ $=\sqrt{4}$ $ =2$ Hence, the correct answer is 2.
Question : Directions: In a certain code language, CASIO is written as 3119915. How is CITIZEN written in that code language?
Option 1: 295629134
Option 2: 3192295614
Option 3: 3912659214
Option 4: 3920926514
Correct Answer: 3920926514
Solution : Given: CASIO is written as 3119915.
The position value of the letters of CASIO –
Thus, CASIO is coded as 3119915. Similarly, follow the same pattern for CITIZEN – Position value of
Question : Select the most appropriate ANTONYM of the underlined word in the given sentence.
Israel has been a staunch ally of the United States.
Option 1: Resolute
Option 2: Careless
Option 3: Confused
Option 4: Unsteady
Correct Answer: Unsteady
Solution : The correct choice is the fourth option.
Staunch means firm, loyal, or steadfast, while unsteady implies a lack of stability or reliability.
The meanings of the other options are as follows:
Resolute: This term is a synonym for "staunch" and it does not serve as
Question : Directions: Out of the following five figures, four are alike in some manner and one differs from these in that manner. Select the odd figure.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Let's check each option – First option: Here, one circle is inside and two circles are outside the triangle. Second option: Here, two circles are inside and one circle is outside the pentagon. Third option: Here, one circle is inside and two circles are outside the
Question : Fill in the blank with the correct collocation. Brady straightened, the ________ baton in hand.
Option 1: charge
Option 2: wooden
Option 3: swing
Option 4: open
Correct Answer: wooden
Solution : The correct option is the second option.
Explanation: The sentence suggests that Brady straightened with a specific item in hand. In this context, the collocation that fits here is wooden baton, which implies that the baton Brady is holding is made of wood.
The
Question : Swarnjayanti Gram Swarozgar Yojana (SGSY) has been restructured as:
Option 1: Prime Minister Rozgar Yojana
Option 2: National Rural Livelihood Mission
Option 3: Jawahar Gram Samridhi Yojana
Option 4: Sampoorna Grameen Rozgar Yojana
Correct Answer: National Rural Livelihood Mission
Solution : The correct answer is the National Rural Livelihoods Mission.
The National Rural Livelihood Mission (NRLM) was initiated by the Ministry of Rural Development to empower economically disadvantaged families residing below the poverty line in rural areas by facilitating self-employment opportunities. The
Question : Let G be the centroid of the equilateral triangle ABC of perimeter 24 cm. Then the length of AG is:
Option 1: $2 \sqrt 3$
Option 2: $\frac{8}{\sqrt3}$
Option 3: $8 \sqrt 3$
Option 4: $4 \sqrt 3$
Correct Answer: $\frac{8}{\sqrt3}$
Solution : The perimeter of the equilateral triangle, P = 24 cm Side, a = $\frac{P}{3}$ = $\frac{24}{3}$ = 8 cm Height of the equilateral triangle = $\frac{\sqrt{3}×a}{2}$ = $\frac{\sqrt{3}×8}{2}$ = $4\sqrt3$ As the median is divided in the ratio 2 : 1 at the centroid, AG
Question : Directions: In the following question, find the odd letter cluster from the given alternatives.
Option 1: MNOM
Option 2: BDCB
Option 3: XZYX
Option 4: PRQP
Correct Answer: MNOM
Solution : Let's check the options – First option: MNOM; M + 1 = N; N + 1 = O; O – 2 = M Second option: BDCB; B + 2 = D; D – 1 = C; C – 1 = B Third option: XZYX; X
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