Staff Selection Commission Combined Higher Secondary Level Exam
Question : Directions: In the following question, some parts of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select 'No Error'.
You need not tell a lie (1) / when the judge asked you where you were (2) / when the crime was committed. (3) No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The correct choice is the first option.
Explanation: The phrase "need not tell a lie" should be replaced with "need not have told a lie". ''Need not tell a lie'' indicates the present tense, whereas the action took place in the recent past,
Question : If $A=30^{\circ}$, then find the value of $\frac{(2 \tan A)}{\left(1-\tan^2 A\right)}$.
Option 1: $4 \sqrt{3}$
Option 2: $\frac{3}{\sqrt{3}}$
Option 3: $3$
Option 4: $2 \sqrt{3}$
Correct Answer: $\frac{3}{\sqrt{3}}$
Solution : Given: $A=30^{\circ}$ And we know, $\tan 30° = \frac{1}{\sqrt3}$ So, $\frac{(2 \tan A)}{\left(1-\tan ^2 A\right)}$ $= \frac{2\tan 30°}{1-\tan^2 30°}$ $= \frac{2\times \frac{1}{\sqrt3}}{1-\frac{1}{3}} = \frac{2\times 3}{2\times \sqrt3} = \frac{3}{\sqrt 3}$ Hence, the correct answer is $\frac{3}{\sqrt3}$.
Question : The length of a side of a square inscribed in a circle is $a\sqrt2$ units. The circumference of the circle is:
Option 1: $2\pi a$ units
Option 2: $\pi a$ units
Option 3: $4\pi a$ units
Option 4: $\frac{2a}{\pi}$ units
Correct Answer: $2\pi a$ units
Solution : Given, Side of a square = AB = $\sqrt2 a$ units We know, the length of the diagonal of a square = $\sqrt2\times$ side ⇒ AC = Diagonal = $\sqrt2 × \sqrt2 a=2a$ units = Diameter of the circle, $d$ $\therefore$ Circumference of
Question : Directions: Ravi had five subjects in his final examination. The maximum marks in each subject are 100. If his percentage in four subjects is 80, and he scores 65 marks in the fifth subject, determine his overall percentage for the five subjects.
Option 1: 0.78
Option 2: 0.79
Option 3: 0.77
Option 4: 0.76
Correct Answer: 0.77
Solution : Given: Total number of Subjects→5 Maximum marks in each subject→100 % scored by Ravi in 4 subjects = 80% Marks scored by Ravi in the 5th subject = 65
From the given information – Maximum marks in all 5 subjects = 100 × 5 =
Question : Directions: The 1st of April is Wednesday. What day of the week will the 1st of May be, in the same year?
Option 1: Saturday
Option 2: Friday
Option 3: Sunday
Option 4: Monday
Correct Answer: Friday
Solution : Given: The 1st of April is Wednesday.
Total number of days→April = 30 – 1 = 29; May = 1→29 + 1 = 30 On dividing 30 by 7, the remainder is 2. Now, add 2 days to Wednesday→Friday
So, the 1st of May will
Question : X can do a piece of work in 14 days, Y can do the same work in 28 days and Z can do it in 42 days. In how many days can X, Y, and Z together complete the work?
Option 1: $7 \frac{9}{11}$
Option 2: $7 \frac{7}{11}$
Option 3: $7 \frac{5}{11}$
Option 4: $7 \frac{3}{11}$
Correct Answer: $7 \frac{7}{11}$
Solution : The time taken by X, Y, and Z to complete work alone is 14, 28 and 42 days, respectively. So, 1 day's work of X, Y, and Z, respectively is $\frac{1}{14}, \frac{1}{28}, \frac{1}{42}$. Their total 1 day's work = $\frac{1}{14}+ \frac{1}{28}+ \frac{1}{42}$ = $\frac{(6+3+2)}{84}$
Question : Zakir Hussain is associated with which musical Instrument?
Option 1: Violin
Option 2: Guitar
Option 3: Tabla
Option 4: Shehnai
Correct Answer: Tabla
Solution : The correct option is Tabla.
Zakir Hussain is associated with the Tabla, which is a traditional Indian percussion instrument. He is a renowned tabla player and one of the most celebrated and influential musicians in the world of Indian classical music. Zakir Hussain has received
Question : The side QR of an equilateral triangle PQR is produced to the point S in such a way that QR = RS and P is joined to S. Then the measure of $\angle PSR$ is:
Option 1: $30^{\circ}$
Option 2: $15^{\circ}$
Option 3: $60^{\circ}$
Option 4: $45^{\circ}$
Correct Answer: $30^{\circ}$
Solution :
Given: $PQR$ is an equilateral triangle and $QR = RS$ $⇒\angle PRS = 180^{\circ} - 60^{\circ} = 120^{\circ}$ We have, $PR = RQ$ and $RQ = RS$, it follows that $RS = PR$ $\therefore \angle PSR = \angle RPS$ The sum of angles in a
Question : ATM stands for:
Option 1: Any Time Money
Option 2: Auto Technology Money
Option 3: Automated Teller Machine
Option 4: Automatic Transaction Machinery
Correct Answer: Automated Teller Machine
Solution : The correct answer is Automated Teller Machine.
ATM is an abbreviation for Automated Teller Machine. It is a self-service banking machine that enables consumers to do simple transactions without the assistance of a human teller. ATMs help check account balances, transfer money
Question : Chords AB and CD of a circle intersect at E. If AE = 9 cm, BE = 12 cm, and CE = 3DE, then the length of DE(in cm) is:
Option 1: $\frac{9}{4}$
Option 2: $4$
Option 3: $6$
Option 4: $7$
Correct Answer: $6$
Solution : Given: AE = 9 cm, BE = 12 cm , CE = 3DE We know that when chords intersect inside a circle the product of the segment formed by the circle is equal. So, CE × DE = AE × BE ⇒ 3DE × DE
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