Staff Selection Commission Combined Graduate Level Exam
Question : The midpoints of AB and AC of a $\triangle$ABC are X and Y, respectively. If BC + XY = 24 units, then the value of BC − XY is:
Option 1: 5 cm
Option 2: 4 cm
Option 3: 6 cm
Option 4: 8 cm
Correct Answer: 8 cm
Solution : The line segment in a triangle joining the midpoint of any two sides of the triangle is said to be parallel to its third side and half the length of the third side. According to the question, BC + XY = 24 ..........(1) Since
Question : Which innovative discussion process is introduced by the Indian parliament to the World Parliamentary systems?
Option 1: Question hour
Option 2: Zero hour
Option 3: Resolutions
Option 4: Presidential Speech
Correct Answer: Zero hour
Solution : The correct answer is Zero Hour.
Zero Hour is the revolutionary discussion procedure presented by the Indian parliament to the World Parliamentary systems. Zero Hour is a 30-minute time at the start of each day's Lok Sabha and Rajya Sabha (the two chambers of
Question : The area of the sector of a circle of radius 12 cm is $32 \pi \;\mathrm{cm}^2$. Find the length of the corresponding arc of the sector.
Option 1: $\frac{16}{3} \pi$ cm
Option 2: $\frac{13}{3} \pi$ cm
Option 3: $\frac{10}{3} \pi$ cm
Option 4: $\frac{8}{3} \pi$ cm
Correct Answer: $\frac{16}{3} \pi$ cm
Solution : Given: The radius of the circle is 12 cm. The area of the sector of a circle is $32\pi$ cm2. Area of the sector = $\pi r^2× \frac{\theta}{360^{\circ}}$ ⇒ $32\pi=\pi ×12^2×\frac{\theta}{360^{\circ}}$ ⇒ $\frac{\theta}{360}=\frac{32}{144}$ ⇒ $\frac{\theta}{360}=\frac{2}{9}$ Length of the arc = $2\pi
Question : The Ennum Ezhuthum Scheme was launched by the Tamil Nadu Government to ensure foundational literacy and numeracy by 2025. This scheme was launched to bridge the learning gap among students aged ________.
Option 1: between 10 and 15
Option 2: under 5
Option 3: under 8
Option 4: between 6 and 10
Correct Answer: under 8
Solution : The correct answer is under 8.
The Ennum Ezhuthum program was introduced by M. K. Stalin, the chief minister of Tamil Nadu, to close the learning gap that the COVID pandemic caused among pupils under the age of eight. By 2025, the programme hopes
Question : Directions: In the following question, a series is given with one number missing. Choose the correct alternative from the ones given that will complete the series. 7, 19, 42, 87, ?
Option 1: 136
Option 2: 176
Option 3: 172
Option 4: 216
Correct Answer: 176
Solution : Given: 7, 19, 42, 87, ?
Let's apply the pattern – (7 × 2) + 5 = 14 + 5 = 19 (19 × 2) + 4 = 38 + 4 = 42 (42 × 2) + 3 = 84 + 3 = 87 (87
Question : Simplify the expression $\frac{\sqrt{x}-\sqrt{y}}{\sqrt{x}+\sqrt{y}}$, where $x=2$ and $y=3$.
Option 1: $2\sqrt{6}-6$
Option 2: $\sqrt{6}-5$
Option 3: $5-2\sqrt{6}$
Option 4: $2\sqrt{6}-5$
Correct Answer: $2\sqrt{6}-5$
Solution : $\frac{\sqrt{x}-\sqrt{y}}{\sqrt{x}+\sqrt{y}}$ Rationalising the denominator, $=\frac{\sqrt{x}-\sqrt{y}}{\sqrt{x}+\sqrt{y}} \times \frac{\sqrt{x}-\sqrt{y}}{\sqrt{x}-\sqrt{y}}$ $=\frac{(\sqrt{x}-\sqrt{y})^2}{(\sqrt{x}+\sqrt{y})\times (\sqrt{x}-\sqrt{y})}$ $=\frac{(\sqrt{x}-\sqrt{y})^2}{x-y}$ Putting $x=2$ and $y=3$ in the equation. $=\frac{(\sqrt2 -\sqrt3)^2}{2-3}$ $=\frac{2+3-2\sqrt6}{-1}$ $=-5+2\sqrt6$ Hence, the correct answer is $2\sqrt6-5$.
Question : The Earliest Settlements of Aryan tribes were at
Option 1: Utter Pradesh
Option 2: Bengal
Option 3: Sapta Sindhu
Option 4: Delhi
Correct Answer: Sapta Sindhu
Solution : The correct option is Sapta Sindhu.
The Sapta Sindhu area, today known as the Punjab region in northern India, was the site of the first Aryan tribes settlements. The Sapta Sindhu area is called for the rivers that run through it: the Indus, Jhelum,
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer. Simon teaches children ___ water colour painting.
Option 1: the art on
Option 2: the art in
Option 3: the art by
Option 4: the art of
Correct Answer: the art of
Solution : The correct choice is the fourth option.
Explanation: "The art of" is a commonly used phrase to describe teaching a specific skill or technique within an art form. In this context, it accurately conveys that Simon is teaching children the skill or technique
Question : Which of the following fibers catches fire least?
Option 1: Nylon
Option 2: Cotton
Option 3: Rayon
Option 4: Terricot
Correct Answer: Cotton
Solution : The correct option is Cotton.
Cotton is the fiber among the options listed that catches fire least easily. Cotton is a natural fiber derived from the cotton plant, and it has a higher ignition temperature compared to synthetic fibers like rayon, nylon, or terricot. Cotton
Question : Directions: In a certain code language, GLAND is written as GQDOJ, and MEANS is written as VQDHP. How will CYSTS be written in that language?
Option 1: VWVCF
Option 2: FBVWV
Option 3: UVUAE
Option 4: VWVBF
Correct Answer: VWVBF
Solution : Given: GLAND is written as GQDOJ, and MEANS is written as VQDHP.
Add 3 to the place value of each letter of GLAND and MEANS and then, reverse the order of the letters to get the required codes. GLAND→G + 3 = J; L +
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