Staff Selection Commission Combined Graduate Level Exam
Question : Rakshit, Ajay, and Satish are sanitation workers in a Municipal Corporation. Rakshit alone takes 20 hours to clean a drain, while Ajay takes 12 hours when working alone to do the same. All three together take only 5 hours to clean the drain. In how many hours, can Satish complete the work alone?
Option 1: 12
Option 2: 10
Option 3: 15
Option 4: 18
Correct Answer: 15
Solution : Given: Rakshit takes 20 hours to clean a drain. Ajay takes 12 hours to clean the drain. Rakshit, Ajay, and Satish take 5 hours to clean the drain. Total work = LCM of (20, 12, 5) = 60 units Efficiency of Rakshit = $\frac{60}{20}$ =
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 required’. This package is ideal for infant teenager who are just getting started with babysitting.
Option 1: youngest teenagers
Option 2: younger teenagers
Option 3: young teenagers
Option 4: No substitution required
Correct Answer: young teenagers
Solution : The correct choice is the third option.
Explanation: The original sentence mentions an infant teenager, which is an incorrect use of the word "infant" here. Infant typically refers to a very young child, not a teenager. So, a better word choice to describe
Question : In a circle of radius 3 cm, two chords of length 2 cm and 3 cm lie on the same side of a diameter. What is the perpendicular distance between the two chords?
Option 1: $\frac{4 \sqrt{3}-3 \sqrt{2}}{2}$ cm
Option 2: $\frac{4 \sqrt{2}-3 \sqrt{3}}{2}$ cm
Option 3: $\frac{4 \sqrt{2}-3 \sqrt{3}}{3}$ cm
Option 4: $\frac{4 \sqrt{2}-3 \sqrt{3}}{4}$ cm
Correct Answer: $\frac{4 \sqrt{2}-3 \sqrt{3}}{2}$ cm
Solution : Let $OF$ and $OE$ be perpendiculars from centre $O$ to chords $AB$ and $CD$. We know perpendiculars from the centre to the chord bisect the chord. Given, the radius of the circle = 3 cm AB = 2 cm CD = 3
Question : Which of the following winds is blowing from the Mediterranean Sea to the North Western parts of India?
Option 1: Western disturbances
Option 2: Norwesters
Option 3: Loo
Option 4: Mango showers
Correct Answer: Western disturbances
Solution : The answer is Western Disturbances.
The wind flowing from the Mediterranean Sea to Northern India is referred to as the Western Disturbances. These are extratropical storm systems that provide winter precipitation to the Indian subcontinent's Northern and Northwest regions, including Northern India, Pakistan,
Question : Indian National Congress split for the first time in its session at
Option 1: Allahabad
Option 2: Calcutta
Option 3: Surat
Option 4: Lahore
Correct Answer: Surat
Solution : The correct answer is Surat.
The disagreement stemmed from the moderates' opposition to the boycotts used by the Swadeshi Movement as a form of protest. In 1907, a breakup occurred within the Indian National Congress. During the Congress session in Surat in 1907, it
Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation. 65 * 45 * 25 * 5 * 35 * 60
Option 1: −, +, −, +, =
Option 2: +, ×, +, −, =
Option 3: +, −, +, −, =
Option 4: −, +, ÷, +, =
Correct Answer: −, +, ÷, +, =
Solution : Given: 65 * 45 * 25 * 5 * 35 * 60
Let's check the given options – First option: −, +, −, +, = ⇒ 65 − 45 + 25 − 5 + 35 = 60 Solving the L.H.S. of
Question : The main (chief) social unit of the Aryans was ______.
Option 1: Rajan
Option 2: Parishad
Option 3: Gana
Option 4: Jana
Correct Answer: Jana
Solution : The correct option is Jana.
The term Jana in the context of the Aryans is often used to refer to a larger social and political unit beyond the family or clan. In ancient Aryan society, multiple families or clans would come together to form larger
Question : The graph of the equation $x=a(a \neq 0)$ is a_____.
Option 1: line parallel to the x-axis
Option 2: line parallel to the y-axis
Option 3: line at an angle of 45 degree to y-axis
Option 4: line at an angle of 45 degree to x-axis
Correct Answer: line parallel to the y-axis
Solution : Given: $x=a(a \neq 0)$ A diagram that shows the change of one variable to one or more other variables, such as a collection of one or more points, lines, line segments, curves, or regions. The value of $x$ = The value
Question : Directions: Select the figure from the options that can replace the question mark (2) and complete the given pattern.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : According to the given figure series, in every alternate box, the geometrical figures/ numbers/ letters shift their position following the below pattern – 1. From Box 1 to Box 2 – The first element (Square shape) and the second element (B) interchange their position and the
Question : Chemical properties of isotopes
Option 1: must be same
Option 2: must be different
Option 3: need not be the same
Option 4: need not be different
Correct Answer: must be same
Solution : The correct option is must be the same.
Isotopes are atoms with the same number of protons but different numbers of neutrons. It has the same atomic number but a different mass number. Since the number of electrons in an element's isotopes
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