Staff Selection Commission Combined Higher Secondary Level Exam
Question : Fill in the blank with an appropriate option. It is important to ensure that we all have good, clean water to drink that is not ______ by heavy metals or chemicals.
Option 1: knotted
Option 2: clarified
Option 3: purged
Option 4: contaminated
Correct Answer: contaminated
Solution : The correct answer is the fourth option.
"Contaminated" means that something has been polluted or made impure by the addition or presence of harmful or undesirable substances.
The meanings of the other options are as follows:
Knotted: It refers to something being tied or twisted
Question : If each side of a cube is decreased by 12%, then the percentage decrease in its surface area is:
Option 1: 25.66%
Option 2: 28.23%
Option 3: 22.56%
Option 4: 26.54%
Correct Answer: 22.56%
Solution : Let the side of the cube be 10 units. Surface area of cube, $S_1$ = 6(side)2 = 6(10)2 Side of cube after 12% decrease in size = 10 – 12% of 10 = 8.8 units New surface area of cube, $S_2$ = 6(side)
Question : Directions: Select the combination of letters that when sequentially placed in the blanks of the given series will make the series logically complete. Z_TSVZV_R_XANP_E
Option 1: RWHA
Option 2: HZPX
Option 3: RWHZ
Option 4: UROH
Correct Answer: RWHZ
Solution : Given: Z_TSVZV_R_XANP_E
To fill the series we have to divide the series – Z_TS \ VZV_ \ R_XA \ NP_E Let's check each option — First option: RWHA; ZRTS \ VZVW \ RHXA \ NPAE (No repeated pattern
Question : If $g=(2-\sqrt{3})$, what will be the value of $\left(g^3-\frac{1}{g^3}\right)$?
Option 1: $-30 \sqrt{3}$
Option 2: 52
Option 3: $30 \sqrt{3}$
Option 4: –52
Correct Answer: $-30 \sqrt{3}$
Solution : Given, $g=(2-\sqrt{3})$ ⇒, $\frac{1}{g}=\frac{1}{2-\sqrt{3}}$ ⇒ $\frac{1}{g}=\frac{2+\sqrt{3}}{(2-\sqrt{3})(2+\sqrt{3})}$ ⇒ $\frac{1}{g}=2+\sqrt{3}$ $\left(g^3-\frac{1}{g^3}\right)=(g-\frac{1}{g})(g^2+\frac{1}{g^2}+g×\frac{1}{g})$ ⇒ $\left(g^3-\frac{1}{g^3}\right)=(2-\sqrt{3}-(2+\sqrt{3}))((4+3-4\sqrt{3})+(4+3+4\sqrt{3})+1)$ ⇒ $\left(g^3-\frac{1}{g^3}\right)=-2\sqrt{3}(15)$ ⇒ $\left(g^3-\frac{1}{g^3}\right)=-30\sqrt{3}$ Hence, the correct answer is $-30\sqrt{3}$.
Question : Who among the following won the Men's Singles Title of the US Open 2022?
Option 1: Casper Ruud
Option 2: Stefanos Tsitsipas
Option 3: Rafael Nadal
Option 4: Carlos Alcaraz
Correct Answer: Carlos Alcaraz
Solution : The correct option is Carlos Alcaraz.
Carlos Alcaraz won the Men's Singles Title of the US Open 2022. He defeated Casper Ruud in the final to win the title. He becomes the youngest champion after Nadal.
The US Open is one of the four
Question : Which Indian player is also called Dhing Express?
Option 1: Dutee Chand
Option 2: P.T. Usha
Option 3: Neeraj Chopra
Option 4: Hima Das
Correct Answer: Hima Das
Solution : The correct option is Hima Das.
The Indian athlete known as Dhing Express is Hima Das. Hima Das is an accomplished sprinter from the state of Assam. She gained international recognition when she won a gold medal in the 400-metre race at the
Question : Directions: In the following question a series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series. 1, 4, 2, 3, 2, ?
Option 1: 2
Option 2: 3
Option 3: 4
Option 4: 5
Correct Answer: 4
Solution : Given: 1, 4, 2, 3, 2, ?
Add the numbers first in decreasing order and then in increasing order to the numbers of the given series –
So, the missing number is 4. Hence, the third option is correct.
Question : Raju and Ramu together can do a piece of work in 8 days, and Raju alone can do it in 12 days. In how many days can Ramu alone do it?
Option 1: 18 days
Option 2: 20 days
Option 3: 22 days
Option 4: 24 days
Correct Answer: 24 days
Solution : Raju and Ramu together can do a piece of work in 8 days. Their 1 day's work = $\frac{1}{8}$ Raju alone can do it in 12 days. Raju's 1 day's work = $\frac{1}{12}$ So, Ramu's 1 day's work = $\frac{1}{8}-\frac{1}{12}=\frac{1}{24}$ $\therefore$ Ramu can complete
Question : Directions: How many quadrilaterals are there in the following figure?
Option 1: 6
Option 2: 7
Option 3: 8
Option 4: 9
Correct Answer: 9
Solution : The given figure can be labeled as shown below –
Now, in the above figure, there are a total of 9 quadrilaterals. They are PQRS, QOWP, POUQ, QOVS, SOTQ, ROUS, SOWR, POVR, ROTS.
Hence, the fourth option is correct.
Question : Select the option that can be used as a one-word substitute for the underlined segment. The child was not guilty of any wrongdoing and lacked knowledge or awareness of wrongdoing.
Option 1: ignorant
Option 2: inexperienced
Option 3: innocent
Option 4: cruel
Correct Answer: innocent
Solution : The correct choice is the third option.
Explanation: The underlined segment describes a state of not being guilty and lacking knowledge or awareness of wrongdoing. The word "innocent" precisely captures this meaning. Innocent refers to someone who is not guilty of a crime or
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