Staff Selection Commission Sub Inspector Exam
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
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
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: $0$
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
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
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
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
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}+[
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
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
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 ×
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
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
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
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:
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
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
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
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
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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