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Staff Selection Commission Combined Graduate Level Exam

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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: $\frac{1043}{1100}$

Team Careers360 19th Jan, 2024

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. $0.xy\overline{z}=\frac{xyz–xy}{900}$.
$\mathrm{A}=0.3 \overline{12}$

16 Views

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

Team Careers360 21st Jan, 2024

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

14 Views

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

Team Careers360 18th Jan, 2024

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.

125 Views

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

Team Careers360 22nd Jan, 2024

Correct Answer: 3920926514


Solution : Given:
CASIO is written as 3119915.

The position value of the letters of CASIO –

LETTERS C A S I O
POSITION VALUE 3 1 19 9 15

Thus, CASIO is coded as 3119915.
Similarly, follow the same pattern for CITIZEN –
Position value of

16 Views

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

Team Careers360 24th Jan, 2024

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

20 Views

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:

Team Careers360 25th Jan, 2024

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

16 Views

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

Team Careers360 16th Jan, 2024

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

25 Views

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

Team Careers360 14th Jan, 2024

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

17 Views

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: $4 \sqrt 3$

Team Careers360 23rd Jan, 2024

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

8 Views

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

Team Careers360 12th Jan, 2024

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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