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Staff Selection Commission Combined Graduate Level Exam

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Question : Find the total surface area of a cube whose volume is 343 m³.

Option 1: 186 m²

Option 2: 294 m²

Option 3: 196 m²

Option 4: 210 m²

Team Careers360 18th Jan, 2024

Correct Answer: 294 m²


Solution : Given: Volume of a cube = 343 m³
Let $a$ be the side of the cube.
So, $a^3$ = 343 m³
⇒ $a$ = $\sqrt[3]{343}$ = 7 m
Now, the total surface area of a cube
= $6a^2$
= $6×7^2$
= 294 m2

13 Views

Question : The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at a speed of 12 km/hr completes one round in 8 minutes, then the area of the park is:

Option 1: 1,53,650 sq. metres

Option 2: 1,35,600 sq. metres

Option 3: 1,53,600 sq. metres

Option 4: 1,56,300 sq. metres

Team Careers360 18th Jan, 2024

Correct Answer: 1,53,600 sq. metres


Solution : Given:
The ratio between the length and the breadth of a rectangular park is 3 : 2.
Let length be $3x$, breadth be $2x$.
A man cycling along the boundary of the park at a speed of 12 km/hr completes one round in

11 Views

Question : Which article of the Constitution of India deals with the recognition of the right to education as a fundamental right?

Option 1: Article 300A

Option 2: Article 20

Option 3: Article 33

Option 4: Article 21A

Team Careers360 19th Jan, 2024

Correct Answer: Article 21A


Solution : The correct answer is Article 21A.

The right to education in India is recognised as a fundamental right under Article 21A of the Indian Constitution. This article was inserted by the 86th Amendment Act of 2002 and states that the state shall provide

56 Views

Question : Study the given pie charts and answer the question that follows.

Which institute has the second highest percentage of students who passed to the students who appeared from that institute?

Option 1: C

Option 2: E

Option 3: D

Option 4: B

Team Careers360 25th Jan, 2024

Correct Answer: D


Solution : Number of students who appeared in the examination from institutes B = 54^\circ 
= $\frac{54^\circ}{360^\circ} × 1200$ 
= 180
Number of students who appeared in the examination from institutes C = 90^\circ 
= $\frac{90^\circ}{360^\circ} × 1200$ 
= 300
Number of students who appeared in the

7 Views

Question : The value of $\sqrt{\frac{1+\cos \theta}{1-\cos \theta}}$ is:

Option 1: $\sec\theta+\tan \theta$

Option 2: $\operatorname{cosec} \theta-\cot \theta$

Option 3: $\operatorname{cosec} \theta+\cot \theta$

Option 4: $\sec\theta-\tan \theta$

Team Careers360 17th Jan, 2024

Correct Answer: $\operatorname{cosec} \theta+\cot \theta$


Solution : Given:
$\sqrt{\frac{1+\cos \theta}{1-\cos \theta}}$
= $\sqrt{\frac{(1+\cos \theta)(1+\cos \theta)}{(1-\cos \theta)(1+\cos \theta)}}$
= $\sqrt{\frac{(1+\cos \theta)^2}{1-\cos^2\theta}}$
= $\sqrt{\frac{(1+\cos \theta)^2}{\sin^2\theta}}$
= $\frac{(1+\cos \theta)}{\sin\theta}$
= $\operatorname{cosec} \theta+\cot \theta$
Hence, the correct answer is $\operatorname{cosec}\theta+\cot\theta$.

22 Views

Question : Comprehension:

Read the passage and answer the questions that follow.

The drainage systems of India are mainly controlled by the broad relief features of the subcontinent. Accordingly, the Indian rivers are divided into two major groups: the Himalayan rivers; and the Peninsular rivers.
 

Apart from originating from the two major physiographic regions of India, the Himalayan and the Peninsular rivers are different from each other in many ways. Most of the Himalayan rivers are perennial. It means that they have water throughout the year. These rivers receive water from rain as well as from melted snow from the lofty mountains. The major Himalayan rivers are the Indus, the Ganga, and the Brahmaputra. These rivers are long and are joined by many large and important tributaries. A river along with its tributaries may be called a river system. The two major Himalayan rivers, the Indus and the Brahmaputra originate from the north of the mountain ranges. They cut through the mountains making gorges in the upper course. The perennial Himalayan rivers have long courses from their source to the sea. They perform intensive erosional activity in their upper courses and carry huge loads of silt and sand with their swift current. In the middle and the lower courses, these rivers form meanders, oxbow lakes, levees, and many other depositional features in their floodplains as their speed slackens. They also have well-developed deltas.
 

A large number of the Peninsular rivers like the Godavari, Kaveri, and Krishna are seasonal, as their flow is dependent on rainfall. During the dry season when it doesn’t rain, even the large rivers have reduced flow of water in their channels. The Peninsular rivers have shorter and shallower courses as compared to their Himalayan counterparts. However, some of them originate in the central highlands and flow towards the west. Most of the rivers of peninsular India originate in the Western Ghats and flow towards the Bay of Bengal.

Question:

A river along with its tributaries may be called a:

Option 1: highland

Option 2: river system

Option 3: peninsula

Option 4: flood plain

Team Careers360 24th Jan, 2024

Correct Answer: river system


Solution : The correct choice is the second option.

Explanation:
In the passage, it is mentioned that "a river along with its tributaries may be called a river system." This term is used to describe the combination of a main river and all its tributaries. The

26 Views

Question : Who was the Viceroy at the time of quit India Movement ?

Option 1: Lord Mountbatten

Option 2: Lord Wavell

Option 3: Lord Lin Lithgow

Option 4: Lord Irwin

Team Careers360 16th Jan, 2024

Correct Answer: Lord Lin Lithgow


Solution : The Correct Answer is Lord Lin Lithgow

The longest viceroyal tenure in India's history was eight years, which Lord Linlithgow held from 1936 to 1944. Mahatma Gandhi started the August Movement, also known as the Quit India Movement, on August 8, 1942, in

10 Views

Question : Direction: One day, Nita left home and cycled 10 km towards the south, turned right and cycled 5 km, turned right and cycled 10 km, and turned left and cycled 10 km. How many kilometers will she have to cycle to reach her destination (starting point)?

Option 1: 10 km

Option 2: 15 km

Option 3: 20 km

Option 4: 25 km

Team Careers360 19th Jan, 2024

Correct Answer: 15 km


Solution : As per the given information, the movement of Nita will look as follows –

 

According to the properties of a rectangle, opposite sides of the rectangle are equal, i.e., BC = AD = 5 km.

The distance that Nita has to travel to reach

38 Views

Question : A dishonest shopkeeper professes to sell goods at its cost price but uses a false weight of 950 gm for each kilogram. His gain percentage is:

Option 1: $6\frac{1}{4}\%$

Option 2: $5\frac{5}{19}\%$

Option 3: $5\frac{3}{17}\%$

Option 4: $6\frac{2}{7}\%$

Team Careers360 16th Jan, 2024

Correct Answer: $5\frac{5}{19}\%$


Solution : The shopkeeper sells 950 gm instead of 1000 gm.
Let the cost price of 1 gm be Re. 1.
Selling price of 950 gm = Cost price of 1000 gm = Rs. 1000
The cost price of 950 gm = Rs. 950
Profit = Rs.

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