Staff Selection Commission Combined Graduate Level Exam
Question : A square and a regular hexagon are drawn such that all the vertices of the square and the hexagon are on a circle of radius $r$ cm. The ratio of area between the square and the hexagon is:
Option 1: $3: 4$
Option 2: $4:3\sqrt{3}$
Option 3: $\sqrt{2}:\sqrt{3}$
Option 4: $1:\sqrt{2}$
Correct Answer: $4:3\sqrt{3}$
Solution : Let the side of a hexagon be $a$. Area of a hexagon = $\frac{3\sqrt{3}}{2}×a^2$ Let the radius of the circle be $r$. Diagonal of a square = $2r$ Area of a square $=\frac{(\text{Diagonal})^2}{2}=\frac{(2r)^2}{2}=2r^2$ Since the side of a regular hexagon inscribed in a circle is
Question : Directions: In a certain code language, FRUCTUS is coded as 108, and SPRINTER is coded as 119. How will MASCULINE be coded in that language?
Option 1: 96
Option 2: 99
Option 3: 97
Option 4: 98
Correct Answer: 97
Solution : Given: FRUCTUS is coded as 108 and SPRINTER is coded as 119.
Add the place value of FRUCTUS to obtain the required code – F→6; R→18; U→21; C→3; T→20; U→21; S→19 6 + 18 + 21 + 3 + 20 + 21 + 19 =
Question : The following statements are made regarding global warming.
A. Global warming is the long-term heating of the Earth's surface observed since the pre-industrial period due to human activities, primarily fossil fuel burning, which increases heat-trapping greenhouse gas levels in the Earth's atmosphere.
B. Global warming causes climate change, which poses a serious threat to life on the Earth in the forms of widespread flooding and extreme weather.
Which of these statements are correct?
Option 1: Only B
Option 2: Only A
Option 3: Both A and B
Option 4: Neither A nor B
Correct Answer: Both A and B
Solution : The correct option is Both A and B.
A long-term increase in average global temperature is known as global warming. It is a natural phenomenon but anthropogenic activities particularly post-industrial revolution have increased the rate of this temperature increase. Global warming contributes
Question : Comprehension:
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
A hummingbird’s brilliant throat colour is not caused by feather (1) ________, but rather by iridescence in the arrangement of the feathers. Light level, moisture, angle of viewing, wear and tear and other factors all (2) ______ just how bright and colourful the throat may appear. Hummingbirds cannot walk or hop, though their feet can be used to (3) _____ sideways while they are perched. These birds have evolved smaller feet to be lighter for more (4) ______ flying. They will use their feet for itching and (5) _______, however.
Question
Select the most appropriate option to fill in the blank number 3.
Option 1: migrate
Option 2: obtrude
Option 3: forage
Option 4: scoot
Correct Answer: scoot
Solution : The fourth option is the correct choice.
Scoot means to move quickly and abruptly. In the context of the passage, the use of the hummingbirds' feet to scoot sideways while perched is described.
The meanings of the other options are as follows:
Migrate means to
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 67, 78, 71, 82, 75, 86, ?
Option 1: 97
Option 2: 92
Option 3: 84
Option 4: 79
Correct Answer: 79
Solution : Given: 67, 78, 71, 82, 75, 86, ?
In the above-given series, add 11 and subtract 7 alternatively from the previous number to get the next number of the series. 67 + 11 = 78; 78 – 7 = 71; 71 + 11 = 82;
Question : A cuboid with sides 4, 6, and 8 units is covered with paper. The paper is removed and a square is made from it. What is the side (in units) of the square?
Option 1: 12.24
Option 2: 16.62
Option 3: 14.42
Option 4: 12.62
Correct Answer: 14.42
Solution : The total surface area of cuboid $= 2(lb+bh+hl)$ where $l$ is the length, $b$ is the breadth, and $h$ is the height of the cuboid. Area of square = $(\text{side})^2$ According to the question, The paper used for covering the cuboid is removed and a
Question : The first metal used by man was
Option 1: Aluminium
Option 2: Copper
Option 3: Iron
Option 4: Silver
Correct Answer: Copper
Solution : The correct answer is copper.
Copper is a naturally occurring metal that may be found in either pure form (native copper) or as an ore. It is a soft metal, but it is also malleable and ductile, which means it can be readily moulded into
Question : Two concentric circles of radii 15 cm and 13 cm are given. Find the length of the chord of the larger circle which touches the smaller circle.
Option 1: $22\sqrt{7}$
Option 2: $8\sqrt{14}$
Option 3: $4\sqrt{14}$
Option 4: $12\sqrt{7}$
Correct Answer: $4\sqrt{14}$
Solution : Given: Two concentric circles of radii 15 cm and 13 cm. We know, that the length of the chord of the larger circle which touches the smaller circle $= 2×\sqrt{R^2-r^2}$, Where $R$ and $r$ are the radii of the bigger and the smaller circle, respectively.
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.
Many national surveys ____ that malnutrition is common in developed countries.
Option 1: wheal
Option 2: reveal
Option 3: sheal
Option 4: vineal
Correct Answer: reveal
Solution : The correct answer is the second option, i.e., reveal.
The word reveal means 'to show' which makes the explanation of the sentence as 'the national surveys make ground visits in countries all over the world and show that malnutrition is common in developed nations'.
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".
He has the irritating habit of (playing his own trumpet) all the time.
(1) blowing his own trumpet
(2) pumping his own trumpet
(3) bringing up his own trumpet
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The correct improvement for the sentence is the first option.
The phrase blowing his own trumpet is an idiomatic expression that means someone is boasting or bragging about himself. It's the most appropriate choice in this context.
Therefore, the correct sentence would be: He has
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