Staff Selection Commission Combined Graduate Level Exam
Question : Directions: Select the options figure which is embedded in the given figure (rotation is NOT allowed).
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of all the option figures, only the third option figure is embedded in the given question figure.
Hence, the third option is correct.
Question : If the measures of the angles of a triangle are in the ratio 1 : 2 : 3, and if the length of the smallest side of the triangle is 10 cm, then the length of the longest side is:
Option 1: 20 cm
Option 2: 25 cm
Option 3: 30 cm
Option 4: 35 cm
Correct Answer: 20 cm
Solution : Given: The measures of the angles of a triangle are in the ratio 1 : 2 : 3. Let the angles be $x, 2x, 3x$. So, $x + 2x + 3x = 180°$ ⇒ $6x = 180°$ ∴ $x = 30°$ So, the angles
Question : Directions: Which two numbers and two signs should be interchanged to make the given equation correct? 5 + 44 − 8 × 25 = 203
Option 1: 8, 5 and −, +
Option 2: 8, 44 and −, +
Option 3: 8, 5 and −, ×
Option 4: 8, 44 and −, ×
Correct Answer: 8, 5 and −, ×
Solution : Given: 5 + 44 − 8 × 25 = 203
Replace the given signs and numbers in the options one by one with the original signs and numbers in the given equation. First option: 8, 5 and −, + = 8
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select "No substitution". Greenhouse gases trapped beside Earth's atmosphere cause global warming.
Option 1: trapped inside
Option 2: No substitution
Option 3: trapped outside
Option 4: trapped beyond
Correct Answer: trapped inside
Solution : The correct answer is the first option.
The phrase "trapped beside Earth's atmosphere" does not convey the intended meaning. So, the corrected sentence conveys that greenhouse gases are "trapped inside" the Earth's atmosphere and are contributing to global warming.
The prepositions in the other
Question : Direction: Select the missing number from the given matrix:
Option 1: 43
Option 2: 42
Option 3: 33
Option 4: 32
Correct Answer: 33
Solution : Given:
?
In the first column, (5 + 4) x 2 = 18. This is the fourth number.
In the second column, (2 + 4) x 5 = 30. This is the fourth number.
Question : Select the correct direct form of the given sentence.
The man said that he had been walking down the road with his guide dog.
Option 1: The man said, “He were walking down the road with his guide dog.”
Option 2: The man said, “I am walking down the road with my guide dog.”
Option 3: The man said, “I walked down the road with his guide dog.”
Option 4: The man said, “I was walking down the road with my guide dog.”
Correct Answer: The man said, “I was walking down the road with my guide dog.”
Solution : The correct choice is the fourth option.
Narration Conversion:
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. Exploring new places is an exciting way to (1) ____ your horizons and experience different cultures. Whether you prefer to travel by different modes of transportation like boat or aeroplane, there are many ways to get around and see the world. One of the benefits of exploring new places is the (2) _____ to try new foods and cuisines. You can also visit famous landmarks, attend cultural events, and meet people from all walks of life. When travelling, it's important to (3) _____ calm and flexible. Unexpected delays and changes can happen, so it's helpful to have a backup plan and be willing to adapt. Another important (4) _____ of travel is sustainability. By being mindful of your impact on the environment and local communities, you can travel in a responsible and sustainable way. With so many (5) _____, the world is yours to explore. Select the most appropriate option to fill in the blank number 4.
Option 1: constant
Option 2: entirely
Option 3: aspect
Option 4: detail
Correct Answer: aspect
Solution : The correct choice is the third option.
Explanation:
Question : In $\triangle$ABC the height CD intersects AB at D. The mid-points of AB and BC are P and Q, respectively. If AD = 8 cm and CD = 6 cm then the length of PQ is:
Option 1: 3 cm
Option 2: 7 cm
Option 3: 9 cm
Option 4: 5 cm
Correct Answer: 5 cm
Solution : Given: AD = 8 cm and CD = 6 cm $\angle$CDA = 90° So, from Pythagoras theorem we get, AC2 = AD2 + CD2 ⇒ AC = $\sqrt{8^2+6^2}$ ∴ AC = 10 cm The straight line joining the midpoints of two
Question : The average of the marks of 25 students in a class, in an examination was calculated to be 19. Later, the teacher realized that the marks of two students were taken as 18 and 19, respectively, instead of 14 and 15. Find the new actual average marks of the class.
Option 1: 17.43
Option 2: 16.56
Option 3: 18.68
Option 4: 17.65
Correct Answer: 18.68
Solution : Total marks of 25 students with wrong number = 25 × 19 = 475 After correction = 475 – 18 – 19 + 14 +15 = 467 Average = $\frac{\text{Sum of elements}}{\text{Number of elemcents}}$ = $\frac{467}{25}$ = 18.68 Hence, the correct answer is 18.68.
Question : Find the fourth proportional to the numbers 24,192, and 27.
Option 1: 216
Option 2: 108
Option 3: 162
Option 4: 170.67
Correct Answer: 216
Solution : Fourth proportional to the numbers 24,192, and 27 = $\frac{192×27}{24}$ = 216 Hence, the correct answer is 216.
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