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Staff Selection Commission Sub Inspector Exam

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Question : Which of the following cricketers surpassed Australia's Don Bradman to create the record of scoring the most number of 150-plus scores as a captain in international cricket?

Option 1: Kane Williamson

Option 2: Faf du Plessis

Option 3: Joe Root

Option 4: Virat Kohli

Team Careers360 10th Jan, 2024

Correct Answer: Virat Kohli


Solution : The correct option is Virat Kohli.

Virat Kohli surpassed Australia's Don Bradman to create the record of scoring the most 150-plus scores as a captain. He broke the record of Don Bradman who made 8 times and Virat Kohli made this record a

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Question : If $\sin^4\theta+\cos^4\theta=2\sin^2\theta \cos^2\theta$, where $\theta$ is an acute angle, then the value of $\tan\theta$ is:

Option 1: $1$

Option 2: $2$

Option 3: $\sqrt2$

Option 4: $0$

Team Careers360 6th Jan, 2024

Correct Answer: $1$


Solution : Given:
$\sin^4\theta+\cos^4\theta=2\sin^2\theta \cos^2\theta$ and $\theta$ is an acute angle.
We know the algebraic identity, $(a-b)^2=a^2+b^2-2ab$.
$\sin^4\theta+\cos^4\theta-2\sin^2\theta \cos^2\theta=0$
Or, $(\sin^2\theta-\cos^2\theta)^2=0$
Or, $\sin^2\theta-\cos^2\theta=0$
Or, $\sin^2\theta=\cos^2\theta$
Or, $\tan^2\theta=1$
$\therefore \tan \theta=\pm 1$
Since, $\theta$ is an acute angle, then the value of $\tan\theta$ is $1$.
Hence, the correct

19 Views

Question : Select the most appropriate meaning of the given idiom.
To throw caution to the wind

Option 1: To do something carefully

Option 2: To do something with caution

Option 3: To do something without worrying about the risk

Option 4: To do something after thinking about the result

Team Careers360 8th Jan, 2024

Correct Answer: To do something without worrying about the risk


Solution : The correct answer is the third option.

The most appropriate understanding of the idiom "to throw caution to the wind" is to undertake an action without considering the potential risks involved.

The idiom "to throw caution to the

14 Views

Question : The value of $\frac{\frac{1}{3}+[4 \frac{3}{4}–(3 \frac{1}{6}–2 \frac{1}{3})]}{(\frac{1}{5} \text { of } \frac{1}{5} \div \frac{1}{5}) \div(\frac{1}{5} \div \frac{1}{5} \times \frac{1}{5})}$ lies between:

Option 1: 10.2 and 10.8

Option 2: 4.2 and 4.4

Option 3: 8.2 and 8.8

Option 4: 0.4 and 0.9

Team Careers360 13th Jan, 2024

Correct Answer: 4.2 and 4.4


Solution : Given: $\frac{\frac{1}{3}+[4 \frac{3}{4}–(3 \frac{1}{6}–2 \frac{1}{3})]}{(\frac{1}{5} \text { of } \frac{1}{5} \div \frac{1}{5}) \div(\frac{1}{5} \div \frac{1}{5} \times \frac{1}{5})}$
$=\frac{\frac{1}{3}+[ \frac{19}{4}–(\frac{19}{6}– \frac{7}{3})]}{(\frac{1}{25} \div \frac{1}{5}) \div(\frac{1}{5} \times 5 \times \frac{1}{5})}$
$=\frac{\frac{1}{3}+[ \frac{19}{4}–(\frac{19–7\times 2}{6})]}{(\frac{1}{25} \times 5) \div(\ \frac{1}{5})}$
$=\frac{\frac{1}{3}+[ \frac{19}{4}–\frac{19–14}{6}]}{\frac{1}{5} \div\ \frac{1}{5}}$
$=\frac{\frac{1}{3}+[ \frac{19}{4}–\frac{5}{6}]}{\frac{1}{5} \times 5}$
$=\frac{\frac{1}{3}+[

9 Views

Question :

Directions: In the following question, select the related word from the given alternatives.
Fan : Blades :: ? : ?

Option 1: Bonnet : Car

Option 2: Room : House

Option 3: Arc : Circle

Option 4: Book : Chapter

Team Careers360 10th Jan, 2024

Correct Answer: Book : Chapter


Solution : Given:
Fan : Blades :: ? : ?

Blades are an important part of the fan to blow the air.
Similarly, chapters are important chunks in the book.

The relation in the fourth option is between a thing and its component, while in

111 Views

Question : Directions: Which two signs should be interchanged to make the given equation correct?
42 ÷ 7 + 11 × 87 – 12 = 141

Option 1: ÷ and –

Option 2: ÷ and +

Option 3: x and +

Option 4: – and ×

Team Careers360 19th Jan, 2024

Correct Answer: x and +


Solution : Given:
42 ÷ 7 + 11 × 87 – 12 = 141

Let's check the options –
First option: ÷ and –
42 – 7 + 11 × 87 ÷ 12 = 141
42 – 7 + 11 × 7.25 = 141
42

14 Views

Question : The Rajpath was decided to be a permanent venue for the Republic Day parade from which of the following year onwards?

Option 1: 1959

Option 2: 1951

Option 3: 1955

Option 4: 1958

Team Careers360 6th Jan, 2024

Correct Answer: 1955


Solution : The correct answer is 1955.

The first four Republic Day parades were held at different places between 1950 to 1954. For the first time in 1955, Rajpath was decided to be a permanent venue for the Republic Day celebrations. Republic Day is celebrated on

10 Views

Question : Directions: From the given answer figures, select the one in which the question figure is hidden/embedded.

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 16th Jan, 2024

Correct Answer:


Solution : Because there is no restriction on the rotation of the figure, we will check all the possible angles where the question figure can fit itself in the given option figures.
By comparison of all the option figures, the given question figure is embedded only in the

26 Views

Question : In the given figure, O is the centre of the circle, $\angle PQR=100^{\circ}$ and $\angle STR=105^{\circ}$. What is the value (in degree) of $\angle OSP$?

Option 1: 95

Option 2: 45

Option 3: 75

Option 4: 65

Team Careers360 13th Jan, 2024

Correct Answer: 65


Solution :

Given, $\angle PQR=100^{\circ}$ and $\angle STR=105^{\circ}$
Since the angle subtended by the chord at the centre is double the angle subtended by the chord at the circumference,
reflex$\angle SOR = 2\angle STR = 210^\circ$
So, $\angle SOR = 360^\circ-210^\circ = 150^\circ$
By angle sum property

14 Views

Question : Directions: From the given alternative words, select the word that cannot be formed using the letters of the given word.
ABSTRACTIONISTS

Option 1: ATTRACTION

Option 2: INSTRUCTIONS

Option 3: RATION

Option 4: RACIAB

Team Careers360 24th Jan, 2024

Correct Answer: INSTRUCTIONS


Solution : Given:
ABSTRACTIONISTS

Now, let's compare all the option words with the word ABSTRACTIONISTS –
First option: ATTRACTION; All the letters of ATTRACTION are present in the word ABSTRACTIONISTS.
Second option: INSTRUCTIONS; U is not present in the word ABSTRACTIONISTS. Also, the letter N appears only

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