Staff Selection Commission Combined Graduate Level Exam
Question : Directions: Three different positions of the same dice are shown in Figures 1, 2, and 3. Find the number on the face opposite to the face having 5.
Option 1: 4
Option 2: 3
Option 3: 6
Option 4: 1
Correct Answer: 1
Solution : Taking dice positions 1 and 3 with 1 as common face,
Moving clockwise from the common face with 1,
Pairs of opposite faces –
So, the opposite face to the face containing 5 is 1. Hence, the fourth option is correct.
Question : In the given figure, $P$ is the centre of the circle. If $QS=PR$, then what is the ratio of $\angle RSP$ to the $\angle TPR$?
Option 1: 1 : 4
Option 2: 2 : 5
Option 3: 1 : 3
Option 4: 2 : 7
Correct Answer: 1 : 3
Solution : In the given figure, We have, $SQ = PR$. $PQ$ and $PR$ are the radii of the circle. So, $PQ=PR$ This is the property of an isosceles triangle. $\triangle PSQ$ is an isosceles triangle. Let $\angle PSQ = \theta$, then $\angle SPQ =
Question : Directions: Select the option that represents the correct order of the given words as they would appear in an English dictionary. 1. Empress 2. Employee 3. Empty 4. Emporium 5. Employer
Option 1: 5, 2, 1, 4, 3
Option 2: 2, 5, 1, 4, 3
Option 3: 2, 5, 4, 1, 3
Option 4: 5, 2, 4, 1, 3
Correct Answer: 2, 5, 4, 1, 3
Solution : Given: 1. Empress 2. Employee 3. Empty 4. Emporium 5. Employer
Step 1: Compare the first, second, and third letter of each word. Since all the words start with the same letter E, m, and p, then move on to
Question : Comprehension:
Read the given passage and answer the questions that follow.
As the Sun inches closer to its peak activity in its solar cycle, an explosion has been picked up behind the northeastern limb of the star in our solar system. Solar observatories saw bits and pieces of the explosion, which remain obscured in view from Earth's orbit.
The explosion was spotted on 31 July at around 2309 UT and Earth-orbiting satellites registered a long-lasting C9.3-class solar flare. "The intensity is probably an underestimate because it was partially eclipsed by the edge of the sun. Nasa's Solar Dynamics Observatory (SDO) saw hot debris flying away from the blast site," space weather, which tracks the solar activity, reported.
While the explosion was powerful, experts have predicted that Earth is not in the line of fire from the Sun. Scientists are expected to get a view of the active region later this week as it comes to sight. Earth is not in the line of fire. The explosion is significant because it may herald an active region set to emerge over the sun's northeastern limb later this week. A new sunspot group could bring an end to weeks of relative quiet," Space Weather said in its report.
Select the most appropriate synonym of the given word from the passage.
Debris
Option 1: Detritus
Option 2: Rays
Option 3: Specks
Option 4: Liquid
Correct Answer: Detritus
Solution : The correct choice is the first option.
Debris means the remains of something that is broken or destroyed. Detritus means waste material left, especially after a particular event, making it a synonym for "debris".
The meanings of the other options are as follows:
Question : If the total surface area of a cube is 24 sq. units, then what is the volume of the cube?
Option 1: 8 cu. units
Option 2: 16 cu. units
Option 3: 10 cu. units
Option 4: 4 cu. units
Correct Answer: 8 cu. units
Solution : Given: The total surface area of a cube is 24 sq. units We know that, The total surface area of the cube of side $a$ = 6$a^2$ Or, 24 = 6$a^2$ ⇒ $a$ = 2 Now, the volume of the cube = $a^3$
Question : The country's 12th Indian Institute of Management (IIM) has been started at _______ in Uttarakhand.
Option 1: Kashipur
Option 2: Dehradun
Option 3: Haridwar
Option 4: Haldwani
Correct Answer: Kashipur
Solution : Correct Answer is Kashipur
Indian Institute of Management also known as IIM Kashipur, was established in Kashipur under the Eleventh Five Year Plan set up by the Government of India in 2011.
The union cabinet, chaired by Prime Minister Narendra Modi, approved the proposal to
Question : ABC is an isosceles triangle such that AB = AC, $\angle$ABC = 55°, and AD is the median to the base BC. Find the measure of $\angle$BAD.
Option 1: 50°
Option 2: 55°
Option 3: 35°
Option 4: 90°
Correct Answer: 35°
Solution : Given, ABC is an isosceles triangle with AB = AC $\angle$ ABC = 55° AD is the median to the base BC which bisects $\angle$BAC By angle sum property in $\triangle$ABC, $\angle$BAC + $\angle$ABC + $\angle$ACB = 180° or, $\angle$BAC + 55° + 55° =
Question : Select the most appropriate indirect form of the given sentence. “Good gracious! It’s snowing!” he said.
Option 1: He remarked that it is snowing.
Option 2: He happily said that it is snowing.
Option 3: He said that good gracious it’s snowing.
Option 4: He exclaimed with astonishment that it was snowing.
Correct Answer: He exclaimed with astonishment that it was snowing.
Solution : The fourth option is the correct choice.
The given sentence is an exclamatory sentence that expresses wonder or astonishment. We need to follow some basic rules to convert such types of sentences into indirect forms.
Question : A conical tent with a radius of 6 units and a height of 8 units is to be made with canvas. How much canvas is needed to make the tent? (Rounded off to two places of decimals)
Option 1: 188.57 units
Option 2: 155.87 units
Option 3: 166.57 units
Option 4: 177.55 units
Correct Answer: 188.57 units
Solution : Radius, $r$ = 6 units Height, $h$ = 8 units Let the slant height be $l$. So, $l^2= {r^2+h^2}= \sqrt{6^2+8^2}= \sqrt{100}= 10$ units Area of the canvas = Curved surface area of cone = $ \pi r l$ = $\frac{22}{7}×6×10$ = $188.57$ units Hence,
Question : The side of an equilateral triangle is $12 \text{ cm}$. What is the area (in $\text{cm}^2$, rounded off to 2 decimal places) of the triangle? (Given $\sqrt{3} = 1.732$)
Option 1: 68.07
Option 2: 63.89
Option 3: 62.35
Option 4: 65.23
Correct Answer: 62.35
Solution : Given: The side of an equilateral triangle is $12 \text{ cm}$. Area of the equilateral triangle: $=\frac{\sqrt{3}}{4} × (\text{side})^{2}$ $=\frac{\sqrt{3}}{4} × 12^{2}$ $=\frac{\sqrt{3}}{4} × 144$ $=\sqrt{3} × 36$ $= 1.732 × 36 $ $= 62.35 \text{ cm}^2$ Hence, the correct answer is 62.35.
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