Staff Selection Commission Combined Graduate Level Exam
Question : If Q = net charge, t = time, then which of the following equations is correct?
Option 1: t =Q × I
Option 2: I = Q/t
Option 3: Q = A/t
Option 4: I = Q× t
Correct Answer: I = Q/t
Solution : The correct answer is I = Q/t.
In the specified time interval t, the total charge moving over the region in a forward direction is Q=Q+ - Q-. If the current is constant, then Q is equal to t.
Question : The value of $\sqrt{\frac{1+\cos A}{1-\cos A}}$ is:
Option 1: $\sec A – \tan A$
Option 2: $\operatorname{cosec} A + \cot A$
Option 3: $\sec A + \tan A$
Option 4: $\operatorname{cosec} A – \cot A$
Correct Answer: $\operatorname{cosec} A + \cot A$
Solution : Given, $\sqrt{\frac{1+\cos A}{1-\cos A}}$ $=\sqrt{\frac{1+\cos A}{1-\cos A}\times \frac{1+\cos A}{1+\cos A}}$ $=\sqrt{\frac{(1+\cos A)^2}{(1-\cos A)(1+\cos A)}}$ $=\sqrt{\frac{(1+\cos A)^2}{1-\cos^2A}}$ [Using $\small(a-b)(a+b)=a^2-b^2$] $=\sqrt{\frac{(1+\cos A)^2}{\sin^2A}}$ $=\frac{1+\cos A}{\sin A}$ $=\frac{1}{\sin A}+\frac{\cos A}{\sin A}$ $=\operatorname{cosec}A+\cot A$ Hence, the correct answer is $\operatorname{cosec}A+\cot A$.
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.
The smell of the sea called ____________ memories of her childhood.
Option 1: for
Option 2: back
Option 3: up
Option 4: on
Correct Answer: up
Solution : The correct answer is in option three.
The correct sentence is: "The smell of the sea called up memories of her childhood".
The word "up" in this sentence is used to indicate that the memories were brought to the surface of her mind.
Question : Directions: In the following question a series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series. 124, 235, 346, 457, ?
Option 1: 455
Option 2: 465
Option 3: 565
Option 4: 568
Correct Answer: 568
Solution : Given: 124, 235, 346, 457, ?
In the given series, add 111 to the previous number to obtain the next number. 124 + 111 = 235; 235 + 111 = 346; 346 + 111 = 457; 457 + 111 = 568
So, 568 is the
Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".
As they climb (1) / higher, the air (2) / became cooler. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The error lies in the first part of the sentence.
The error is that the sentence starts in the present tense with "climb" but then shifts to the past tense with "became". This shift in tense disturbs the chronological sequence of events in the sentence.
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
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