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Staff Selection Commission Combined Graduate Level Exam

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Question : A drink of chocolate and milk contains 8% pure chocolate by volume. If 10 litres of pure milk are added to 50 litres of this drink, the percentage of chocolate in the new drink is:

Option 1: $6 \frac{2}{3}$

Option 2: $5 \frac{2}{3}$

Option 3: $5 \frac{1}{3}$

Option 4: $6 \frac{1}{3}$

Team Careers360 18th Jan, 2024

Correct Answer: $6 \frac{2}{3}$


Solution : A drink of chocolate and milk contains 8% pure chocolate.
10 litres of pure milk are added to 50 litres of this drink.
Let $x$ be the percentage of chocolate in the new drink.
Using the above data in the alligation method, we have:

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Question : Select the most appropriate option to fill in the blanks.

As cattle are to herd so are birds to ________.

Option 1: flock

Option 2: litter

Option 3: pack

Option 4: streak

Team Careers360 19th Jan, 2024

Correct Answer: flock


Solution : The correct choice is the first option.

Flock: A group of birds, typically of the same species, that fly, move, or feed together.

The meanings of the other options are as follows:

  • Litter: A group of young animals born to the same mother
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Question : The percentage of the earth's water found in the oceans is ______.

Option 1: 94%

Option 2:  97.2%

Option 3: 90.2%

Option 4: 92.2%

Team Careers360 15th Jan, 2024

Correct Answer:  97.2%


Solution : The correct option is 97.2%.

The vast majority of Earth's water, around 97.2%, is saline and found in the oceans. Only about 2.5% of Earth's water is freshwater, and the majority of that is locked in ice caps, glaciers, and underground aquifers.

The relatively

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Question : The difference between the largest and the smallest angles of a triangle whose angles are in the ratio of 5 : 3 : 10 is:

Option 1: 20°

Option 2: 30°

Option 3: 50°

Option 4: 70°

Team Careers360 25th Jan, 2024

Correct Answer: 70°


Solution : Given:
The angles are in the ratio of 5 : 3 : 10.
Let the angles be 5$x$, 3$x$, and 10$x$.
We know, 5$x$ + 3$x$ + 10$x$ = 180°
⇒ 18$x$ = 180° 
$\therefore x$ = 10°
Largest angle = 10$x$ = 10 ×

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Question : A person took a loan at 5% per annum simple interest during the first year and with an increase of 0.5% simple interest every year from the second year onwards. After 4 years, he paid INR 4,600 as a total interest to settle the loan completely. How much was the loan?

Option 1: INR 20,000

Option 2: INR 19,000

Option 3: INR 18,000

Option 4: INR 21,000

Team Careers360 19th Jan, 2024

Correct Answer: INR 20,000


Solution : Given:
The loan is given at 5% per annum simple interest during the first year and with an increase of 0.5% simple interest every year from the second year onwards.
Time = 4 years
Let the loan amount be $x$.
Total interest earned =

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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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