Staff Selection Commission Combined Graduate Level Exam
Question : Select the most appropriate synonym of the word given in brackets to fill in the blank.
He was offered a________ (moderate) price for his bungalow.
Option 1: sustainable
Option 2: considerable
Option 3: respectable
Option 4: reasonable
Correct Answer: reasonable
Solution : The correct choice is the fourth option.
Reasonable means fair, just, or sensible. In the context of the sentence, reasonable is the most appropriate synonym for "moderate" because it conveys the idea of a fair or sensible price for the bungalow.
The meanings of the
Question : Directions: Select the option that is related to the fifth letter cluster in the same way as the second letter cluster is related to the first letter cluster and the fourth letter cluster is related to the third letter cluster. ECHO : PIDF :: EARS : TSBF :: HEAR : ?
Option 1: IFBS
Option 2: SCFI
Option 3: SBFI
Option 4: SBGI
Correct Answer: SBFI
Solution : Given: ECHO : PIDF :: EARS : TSBF :: HEAR : ?
Add 1 in the positional value of each letter of ECHO and shuffle their position, to get the required code – Like in, ECHO : PIDF
Thus, ECHO is related to PIDF. And
Question : M2 is one of the measures of the money supply. M2 is the sum of M1+______.
Option 1: saving deposits with the post office
Option 2: National Saving Certificates
Option 3: coins and currency notes
Option 4: demand deposits
Correct Answer: saving deposits with the post office
Solution : The correct option is saving deposits with the post office.
The two most often used definitions of money are M1 and M2. M1 is made up of traveller's cheques, checkable (demand) deposits, and coins and
Question : Directions: Select the figure that will come next in the following figure series.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : According to the given figure series – 1. The pentagon is fixed at its position. 2. The lines inside the pentagon increase by one as we move from one box to another. So, following the above pattern, the required figure will be as follows –
Hence,
Question : If $\frac{1}{x^2+a^2}=x^2-a^2$, then the value of $x$ is:
Option 1: $\left(1-a^4\right)^\frac{1}{4}$
Option 2: $a$
Option 3: $\left(a^4-1\right)^\frac{1}{4}$
Option 4: $\left(a^4+1\right)^\frac{1}{4}$
Correct Answer: $\left(a^4+1\right)^\frac{1}{4}$
Solution : Given, $\frac{1}{x^2+a^2}=x^2-a^2$ $⇒1=(x^2-a^2)(x^2+a^2)$ $⇒1=x^4-a^4$ $⇒x^4 = 1+a^4$ $\therefore x=(1+a^4)^\frac{1}{4}$ Hence, the correct answer is $(a^4+1)^\frac{1}{4}$.
Question : Direction: If TAP is SZO, then what is FREEZE?
Option 1: EQDFYG
Option 2: EQDDYD
Option 3: ESDFYF
Option 4: GQFDYF
Correct Answer: EQDDYD
Solution : In the provided coding for TAP to SZO, it appears that each letter in the original word is shifted one position backward in the alphabet.
Applying the same pattern to FREEZE –
Question : The equation of the line if its slope is $-\frac{3}{7}$ and it passes through the point (5, 2) is:
Option 1: $3x+7y=29$
Option 2: $3x-7y=1$
Option 3: $3x+7y=1$
Option 4: $3x-7y=29$
Correct Answer: $3x+7y=29$
Solution : To find: Equation of the line with slope $-\frac{3}{7}$that passes through the point (5, 2). The equation of a line passing through $(x, y)$ is $y=mx+c$, where $m$ is the slope and $c$ is the y-intercept. Here, $m=-\frac{3}{7}$ and $(x, y)=(5,2)$ $⇒ 2=-\frac{3}{7}×5+c$ $⇒ c=\frac{15}{7}+2$
Question : The British Parliament transferred the powers of the East India Company to the British crown in __________.
Option 1: 1856
Option 2: 1858
Option 3: 1854
Option 4: 1860
Correct Answer: 1858
Solution : The correct answer is 1858.
The British Parliament transferred the powers of the East India Company to the British Crown through the Government of India Act of 1858. This act marked the end of the company's rule in India and the beginning of British governance
Question : A metallic cube has sides of length 12 cm. It is melted and recast into three small cubes. Of these cubes, two have sides measuring 6 cm and 8 cm, respectively. The length of each side of the third cube is:
Option 1: 7 cm
Option 2: 9 cm
Option 3: 10 cm
Option 4: 5 cm
Correct Answer: 10 cm
Solution : A metallic cube has sides of length 12 cm. So, its volume is $12^{3} = 1728$ cm3 It is melted and recast into three small cubes. Of these, two have sides measuring 6 cm and 8 cm, respectively. Assume the side of the
Question : If the arithmetic mean of 7,5,13, $x$ and 9 is 10, then the value of $x$ is:
Option 1: 10
Option 2: 12
Option 3: 14
Option 4: 16
Correct Answer: 16
Solution : We know, Mean = $\frac{\text{Sum of the numbers}}{\text{Total numbers in count}}$ ⇒ $10 =\frac{7+5+13+x+9}{5}$ ⇒ $10 =\frac{34+x}{5}$ ⇒ $50 = 34 +x$ $\therefore x = 16$ Hence, the correct answer is 16.
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