Staff Selection Commission Combined Higher Secondary Level Exam
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence.
Mr Arvind was accused of beating up the students in the class.
Option 1: accused of beating up off the
Option 2: accused of beating up of the
Option 3: accused of beating up on the
Option 4: accused of beating up in the
Correct Answer: accused of beating up on the
Solution : The correct choice is the third option.
The preposition "before" should be replaced with "on," as it helps correct the phrase "beat up on," which means "to assault and injure someone".
Therefore, the correct sentence is: "Mr. Arvind was accused
Question : Select the most appropriate idiom for the given situation.
Shayam was accused of bribery, but he submitted proof of his innocence.
Option 1: Buying the pig in a poke.
Option 2: Cast pearls before they swine.
Option 3: Chapter and verse.
Option 4: Beating about the bush.
Correct Answer: Chapter and verse.
The idiom, chapter and verse means giving precise details or citing specific evidence about something. It means providing detailed information or being able to refer to specific sources accurately, which makes it the appropriate choice.
Question : Two parallel lines touch the circles at P and Q. The area of the circle is 154 cm2. Find the length of PQ (Take $\pi=\frac{22}{7}$)
Option 1: 85.2 cm
Option 2: 14 cm
Option 3: 7 cm
Option 4: 77 cm
Correct Answer: 14 cm
Solution : Given: Area of the circle = 154 $cm^2$ We know that, Area of the circle = $\pi r^2$ According to the question, 154 = $\pi r^2$ ⇒ 154 = $\frac{22}{7}×r^2$ ⇒ $\frac{154×7}{22}$ = $r^2$ ⇒ $r$ = 7 Thus, length of PQ = 7
Question : Directions: How many triangles are there in the given figure?
Option 1: 16
Option 2: 17
Option 3: 20
Option 4: 18
Correct Answer: 17
Solution : The given figure can be labelled as shown below –
Now, in the above figure, there are a total of 17 triangles. They are ABK, BCG, DGN, DEF, HIF, IJK, LUT, STM, QRS, OQP, jPZ, igh, gbf, abY, Yec, cXW, WVd.
Therefore, there are 17
Question : If the triangles ABC and PQR are similar and if $\angle A=35°, \angle B=65°$ then $\angle R=$?
Option 1: 80°
Option 2: 90°
Option 3: 35°
Option 4: 65°
Correct Answer: 80°
Solution : $\triangle ABC \sim \triangle PQR$ ⇒ $\angle C=\angle R$ In $\triangle ABC,$ $\angle A + \angle B + \angle C = 180°$ ⇒ $35°+65°+\angle C = 180°$ ⇒ $\angle C = 180° - 100°$ ⇒ $\angle C = 80°$ ⇒ $\angle R = 80°$ Hence,
Question : If $x^2+\frac{1}{x^2}=4$, then what is the value of $x^4+\frac{1}{x^4}$?
Option 2: 14
Option 3: 12
Option 4: 20
Correct Answer: 14
Solution : Given that $x^2+\frac{1}{x^2}=4$, Squaring both sides, we get, $⇒(x^2+\frac{1}{x^2})^2 = 4^2$ $⇒x^4 + 2 + \frac{1}{x^4} = 16$ $⇒x^4 + \frac{1}{x^4} = 16 - 2 = 14$ Hence, the correct answer is 14.
Question : Directions: In the following question, from the given alternative words, select the word that cannot be formed using the letters of the given word. CALCULATE
Option 1: CAT
Option 2: TEA
Option 3: LATE
Option 4: TEAM
Correct Answer: TEAM
Solution : Given: CALCULATE
Now, let's compare all the option words with the word CALCULATE – First option: CAT; All the letters of CAT are present in the word CALCULATE. Second option: TEA; All the letters of TEA are present in the word CALCULATE. Third option: LATE;
Question : In a circle with a radius 20 cm, P is a point located at a distance of y cm from the centre of the circle. If the length of a tangent drawn from point P to the circle is 21 cm, find the value of y.
Option 1: 31 cm
Option 2: 28 cm
Option 3: 29 cm
Option 4: 25 cm
Correct Answer: 29 cm
Solution : Given that OP = y cm, QP = 21 cm, OQ = 20 cm. To find the length of OP, apply Pythagoras theorem in $\triangle$OPQ. ⇒ OQ2 + QP2 = OP2 ⇒ 202 + 212 = y2 ⇒
Question : If the sum of a number and its reciprocal is 4, find the sum of their squares.
Option 1: 12
Option 2: 16
Option 3: 14
Solution : Let the number be $x$. Reciprocal = $\frac{1}{x}$ According to the question, $x + \frac{1}{x} = 4$ Squaring both sides, we get: ⇒ $(x + \frac{1}{x})^2 = 4^2$ ⇒ $x^2+ \frac{1}{x^2}+2 = 16$ ⇒ $x^2 + \frac{1}{x^2} = 16 - 2 = 14$ Hence, the
Question : Parts of a sentence are given below in jumbled order. Arrange the parts in the correct order to form a meaningful sentence.
P. an unparalleled popularity Q. the lotus Temple has always enjoyed R. as shown by its pre-dominance in literature and art S. throughout the length and breadth of India from the earliest times down to the present day,
Option 1: QPSR
Option 2: PSQR
Option 3: QRSP
Option 4: QPRS
Correct Answer: QPRS
Solution : The fourth option is the correct choice.
The sentence should start with the subject and its description, followed by the reasons or evidence, and then its widespread recognition.
Therefore, the sentence in the correct order is: The Lotus Temple has always enjoyed an unparalleled popularity,
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