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Staff Selection Commission Combined Graduate Level Exam

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Question : Directions: Select the option that represents the letters that, when placed from left to right in the given blanks, will complete the letter series.
NOP_QNO_IQN_PHQ_OPG_

Option 1: PJNOQ

Option 2: JPONQ

Option 3: PJONO

Option 4: JPQNO

Team Careers360 21st Jan, 2024

Correct Answer: JPONQ


Solution : Given:
NOP_QNO_IQN_PHQ_OPG_

To fill the series we have to divide the series – NOP_Q / NO_IQ / N_PHQ / _OPG_
Let's check each option –
First option: 
PJNOQ; NOPPQ / NOJIQ / NNPHQ / OOPGQ (No repeated

25 Views

Question : A shopkeeper purchased a chair marked at Rs. 600 at two successive discounts of 15% and 20% respectively. He spent Rs. 28 on transportation and sold the chair for Rs. 545. His gain percentage was:

Option 1: 25%

Option 2: 30%

Option 3: 35%

Option 4: 20%

Team Careers360 17th Jan, 2024

Correct Answer: 25%


Solution : (Single equivalent discount = $(a+b-\frac{a\:×\:b}{100}$)%, where $a$% and $b$% are successive discounts.)
Single equivalent discount = $(15+20-\frac{15\:×\:20}{100}$)= 32%
After two successive discount cost price = 600 $\times$ 68% = 408
Total cost = 408 + 28 = 436
Selling price = 545
Gain percent =

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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

14 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

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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 $\operatorname{cosec}\theta+\cot\theta$.

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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

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