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Staff Selection Commission Combined Graduate Level Exam

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Question : Monty paid a simple interest of INR 480 on a particular sum after 2 years. The rate was 8% per annum. Find the sum.

Option 1: INR 2200

Option 2: INR 2000

Option 3: INR 3000

Option 4: INR 2500

Team Careers360 24th Jan, 2024

Correct Answer: INR 3000


Solution : Let the principal amount be $P$.
Time, $T$ = 2 years
Rate of Interest, $R$ = 8% per annum
Interest gained = INR 480
Now, we know, Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$
$⇒480=\frac{P\times 8\times 2}{100}$
$\therefore P=3000$
Hence, the correct answer

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Question : If $x\cos^{2}30^{\circ}\cdot \sin60^{\circ}=\frac{\tan^{2}45^{\circ}\cdot \sec60^{\circ}}{\operatorname{cosec}60^{\circ}}$, then the value of $x$ is:

Option 1: $\frac{1}{\sqrt{3}}$

Option 2: $\frac{1}{\sqrt{2}}$

Option 3: $2\frac{2}{3}$

Option 4: $\frac{1}{2}$

Team Careers360 25th Jan, 2024

Correct Answer: $2\frac{2}{3}$


Solution : Given that $x\cos^{2}30^{\circ}\cdot \sin60^{\circ}=\frac{\tan^{2}45^{\circ}\cdot \sec60^{\circ}}{\operatorname{cosec}60^{\circ}}$
We know that,
$\cos30^{\circ} = \frac{\sqrt{3}}{2}$, so $\cos^{2}30^{\circ} = \frac{3}{4}$
$\sin60^{\circ} = \frac{\sqrt{3}}{2}$
$\tan45^{\circ} = 1$, so $\tan^{2}45^{\circ} = 1$
$\sec60^{\circ}= 2$
$\operatorname{cosec}60^{\circ} =\frac{2}{\sqrt{3}}$
Putting these values in the equation, we get:
$x×\frac{3}{4}×\frac{\sqrt{3}}{2}=\frac{1×2}{\frac{2}{\sqrt{3}}}$
⇒ $x×\frac{3}{4}×\frac{\sqrt{3}}{2}=\frac{2×\sqrt{3}}{{2}}$
Solving for $x$, we get:

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Question : Comprehension:

Read the passage and answer the questions that follow.

A new and extreme tourist attraction has just exploded onto the scene in Iceland: Volcano Walking. It would appear, according to Trip Advisor, that this is one trip that cannot be missed, despite the extortionate cost.

The idea of making Thrihnukagigur volcano accessible was the brainchild of Ami B. Stefansson, a doctor in Reykjavik and a lifelong cave enthusiast. He has been studying caves in Iceland since 1954 and some would argue that there is no one who has more experience.

Thrihnukagigur has always been special to Stefansson ever since he was the first to descend down to the crater base in 1974. Like most people who experience it, he was utterly spellbound by its uniqueness and beauty and made it his mission to protect and preserve this stunning natural phenomenon. Unlike others who may have only seen the profit that could be made from walking into the mouth of a volcano, Stefansson believed that the primary focus was to treat such a grand natural wonder with the utmost respect, to protect and defend it. The first 'volcano tourists' entered the volcano in 2005 and it has since been labelled as one of the most unique tourist attractions in the world.

Volcano walkers are taken to the mouth of the crater from where they are lowered in a basket into the depths of the earth. People once thought that volcanoes were portals to Hell and associated with death and destruction and yet the entrance to the crater is awe-inspiring and almost ethereal. The vastness of it can feel overwhelming; it is the size of a cathedral and the Statue of Liberty could easily fit into the shaft. After 6 minutes and 120 metres, visitors arrive at the crater base. The ground space is the size of three full-sized basketball courts placed next to each

At the bottom, there is a reverent hush. People whisper in respect to the sleeping giant who has lain dormant for 4,000 years. The subterranean walls are scorched with colours from a divine palette: magenta red, vibrant purple, burnt orange, vivid green and honey yellow. The colour intensifies in certain places where 4000 years ago the magma was pushed out with brutal force. This is Mother Nature's secret place, her private art studio where visitors feel like trespassers. The protruding rock faces show a tapestry of patterns and formations that have been moulded by heat, pressure and time. Floodlights illuminate the walls and draw attention to the beauty humans were never intended to see. A light rain weeps from the porous rock above and covers the crater sides with a shine that makes it sparkle. The scorch marks can be seen close up - at one point in time these rock faces were glowing red with fiery heat. This giant, although sleeping, is still dangerous: an 80-metre drop into the void is disguised by a collection of rocks close to where visitors stand.

It is a soul-enriching experience and visitors often report feeling deeply moved by the beauty and tranquillity of something that was once so destructive and angry. Confronted with this result of the unrestrained forces of nature, it is hard not to feel small and powerless in comparison. Sadly, the magical spell is broken when the basket appears, indicating that it is time for visitors to return to reality. On the return hike, visitors walk across the lava fields as though they are astronauts on the moon. They pass enormous open wounds where the landscape is literally tearing itself apart as tectonic plates slowly shift. It serves as one final reminder that this giant is merely dormant, not dead.

Question:
The volcano is referred to as the 'sleeping giant' in the passage because

Option 1: it is very deep.

Option 2: it is very destructive.

Option 3: it is a dormant volcano.

Option 4: it is an active volcano.

Team Careers360 25th Jan, 2024

Correct Answer: it is a dormant volcano.


Solution : The correct choice is the third option.

Explanation:

The volcano is referred to as the sleeping giant' in the second last paragraph of the passage because it has been dormant for 4,000 years, and the author describes the visitors' sense

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Question : Sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph.
A. On the afternoon of that eventful day, I stood on the porch, dumb, expectant and guessed vaguely from my mother's signs and from the hurrying to and fro in the house that something unusual was about to happen, so I went to the door and waited on the steps.
B. I did not know what the future held of marvel or surprise for me and anger and bitterness had preyed upon me continually for weeks and a deep languor had succeeded this passionate struggle.
C. The most important day I remember in all my life is the one on which my teacher, Anne Mansfield Sullivan, came to me and I am filled with wonder when I consider the immeasurable contrasts between the two lives which it connects and it was the third of March, 1887, three months before I was seven years old.
D. The afternoon sun penetrated the mass of honeysuckle that covered the porch, and fell on my upturned face and my fingers lingered almost unconsciously on the familiar leaves and blossoms which had just come forth to greet the sweet southern spring.

Option 1: DABC

Option 2: CBAD

Option 3: CADB

Option 4: CDAB

Team Careers360 19th Jan, 2024

Correct Answer: CADB


Solution : The third option is correct.

The given sentences narrate the significant moment when Helen Keller, the author and subject of the passage, reflects upon a crucial event in her life—the arrival of her teacher, Anne Mansfield Sullivan, on March 3, 1887, when Helen was almost

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Question : From the following who was the first women speaker of Lok Sabha?

Option 1: Sushma Swaraj

Option 2: Margret Alva

Option 3: Meira Kumar

Option 4: Sarojini Naidu

Team Careers360 15th Jan, 2024

Correct Answer: Meira Kumar


Solution : The correct answer is Meira Kumar.

The Lok Sabha's first assembly following general elections is typically when the speaker is chosen. The speaker of the Lok Sabha (House of the People), who serves for a five-year term, is a de facto member of the

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Question : Select the most appropriate synonym of the underlined word in the given sentence.

The young fellow was innocent and without guile.

Option 1: Morality

Option 2: Pride

Option 3: Greed

Option 4: Deceit

Team Careers360 24th Jan, 2024

Correct Answer: Deceit


Solution : The fourth option is the correct answer.

Guile refers to the quality of being cunning, deceitful, or sly. It implies a clever, deceitful manner or the intent to deceive without overtly showing it. Deceit, on the other hand, directly means the action or practice

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Question : The method of soil conservation  in which rocks are piled up to slow down the flow of water which prevents gullies and further soil loss is called?

Option 1: Mulching

Option 2: Contour barriers 

Option 3: Rock dam

Option 4: Terrace farming 

Team Careers360 22nd Jan, 2024

Correct Answer: Rock dam


Solution : correct answer is Rock dams.

Rock dams are small barriers made up of stone, sand or gravel across a drainage. Its main purpose is to reduce erosion in a drainage channel by restricting the velocity of flow in the channel.

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Question : If $\cos\theta = \frac{35}{37}$, then what is the value of $\cot \theta$?

Option 1: $\frac{12}{35}$

Option 2: $\frac{35}{12}$

Option 3: $\frac{37}{12}$

Option 4: $\frac{12}{37}$

Team Careers360 15th Jan, 2024

Correct Answer: $\frac{35}{12}$


Solution : Given: $\cos \theta = \frac{35}{37}$,
$\cos\theta = \frac{\text{Base}}{\text{Hypotenuse}}$
Let base = 35k and hypotenuse = 37k

Using Pythagoras theorem,
$AB =\sqrt{(37k)^{2}-(35k)^{2}} = 12k$
$\therefore\cot \theta = \frac{\text{Base}}{\text{Perpendicular}}$ = $\frac{35}{12}$
Hence, the correct answer is $\frac{35}{12}$.

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Question : 24 men can do a piece of work in 17 days. How many men will be able to do it in 51 days?

Option 1: 8

Option 2: 10

Option 3: 12

Option 4: 6

Team Careers360 15th Jan, 2024

Correct Answer: 8


Solution : $M_{1}D_{1}=M_{2}D_{2},$ where
$M =$ Number of people doing the work and $D =$ Number of days taken to do the work.
So, $24 \times 17=M_{2} \times 51$
$⇒M_{2} =\frac{24 \times 17}{51} = 8$ men
Hence, the correct answer is 8.

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