Staff Selection Commission Combined Graduate Level Exam
Question : Which one of the following states does not form part of Narmada River basin ?
Option 1: Madhya Pradesh
Option 2: Rajasthan
Option 3: Gujarat
Option 4: Maharashtra
Correct Answer: Rajasthan
Solution : The correct option is Rajasthan.
The Narmada River basin is a major river basin in central India. The states that form part of the Narmada River basin include: Madhya Pradesh, Maharashtra and Gujarat. These three states primarily contribute to the Narmada River basin, with Madhya
Question : By which amendment were 'Fundamental Duties' added to the Constitution?
Option 1: 40th Amendment
Option 2: 42nd Amendment
Option 3: 44th Amendment
Option 4: 45th Amendment
Correct Answer: 42nd Amendment
Solution : The correct option is the 42nd Amendment.
The 42nd Amendment Act of 1976 amended the Indian Constitution to include the Fundamental Duties. A new Part IV-A was added to the Constitution with this amendment detailing the fundamental duties of citizens. The Indian Constitution outlines
Question : Directions: Three different positions of the same dice are shown. Find the number on the face opposite the face showing 4.
Option 1: 6
Option 2: 5
Option 3: 1
Option 4: 2
Correct Answer: 5
Solution : In Figures 1 and 2, two faces 1 and 3 are common. So, the remaining numbers are 4 and 5. So, 4 and 5 are the opposite faces of each other in the given dice. If Figures 2 and 3 are taken into consideration, the
Question : There are 3 taps A, B, and C in a tank. These can fill the tank in 10 hours, 20 hours, and 25 hours, respectively. At first, all three taps are opened simultaneously. After 2 hours, tap C is closed and A and B keep running. After 4 hours from the beginning, tap B is also closed. The remaining tank is filled by tap A alone. Find the percentage of work done by tap A itself.
Option 1: 32%
Option 2: 75%
Option 3: 52%
Option 4: 72%
Correct Answer: 72%
Solution : The capacity of the tank = LCM of (10, 20, and 25) = 100 Efficiency of A = $\frac{100}{10}$ = 10 Efficiency of B = $\frac{100}{20}$ = 5 Efficiency of C = $\frac{100}{25}$ = 4 Quantity of tank filled in 2 hours by A, B,
Question : A thief is stopped by a policeman from a distance of 150 metres. When the policeman starts the chase, the thief also starts running. Assuming the speed of the thief is 7 km/h and that of the policeman is 9 km/h, how far would the thief have run before he was overtaken by the policeman?
Option 1: 420 metres
Option 2: 630 metres
Option 3: 315 metres
Option 4: 525 metres
Correct Answer: 525 metres
Solution : Given: The speed of the thief is 7 km/h and that of the policeman is 9 km/h. At a distance of 150 metres, the policeman spots the thief. We know that, Distance = Speed × Time. Relative speed is given as 9 km/h –
Question : Select the most appropriate synonym of the given word. Unbiased
Option 1: Organisational
Option 2: Objective
Option 3: Definitive
Option 4: Subjective
Correct Answer: Objective
Solution : The correct answer is the second option.
It means not influenced by personal feelings or opinions; based on facts or unbiased analysis.
This is the closest synonym to unbiased in the context, which means without prejudice or partiality; not favouring one side over another.
The
Question : Directions: If A × B means that A is the brother of B, A – B means that A is the sister of B, and A + B means that A is the father of B, then which of the following expressions shows that P is the father of R?
Option 1: P + Q × R
Option 2: P × Q + R
Option 3: P + Q + R
Option 4: P – Q × R
Correct Answer: P + Q × R
Solution : Let's check the options – First option: P + Q × R According to the given expression, the family tree will be as follows – Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.
Question : The positive square root of [0.6 × 0.6 × 0.6 + 0.4 × 0.4 × 0.4 + 3 × 0.6 × 0.4 (0.6 + 0.4)] is equal to:
Option 1: 2.1736
Option 2: 1
Option 3: 0.21736
Option 4: 0.072
Correct Answer: 1
Solution : 0.6 × 0.6 × 0.6 + 0.4 × 0.4 × 0.4 + 3 × 0.6 × 0.4 (0.6 + 0.4) = 0.63 + 0.43 + 3 × 0.6 × 0.4 (0.6 + 0.4) The equation is in the form of (a + b)
Question : If $\left (4x+\frac{1}{x} \right)=5,x\neq 0,$ then the value of $\frac{5x}{4x^{2}+10x+1}$ is:
Option 1: $\frac{1}{2}$
Option 2: $\frac{1}{3}$
Option 3: $\frac{2}{3}$
Option 4: $3$
Correct Answer: $\frac{1}{3}$
Solution : Given: $(4x+\frac{1}{x})=5$ ⇒ $\frac{4x^{2}+1}{x}=5$ ⇒ $4x^{2}+1=5x$ ⇒ $4x^{2}=5x-1$ Now, putting the value of $4x^{2}$ in $\frac{5x}{4x^{2}+10x+1}$ $=\frac{5x}{5x–1+10x+1}=\frac{5x}{15x}=\frac{1}{3}$ Hence, the correct answer is $\frac{1}{3}$.
Question : Direction: The table below shows the percentage of literate people in 6 cities. This table also shows the ratio of males to females among literate people.
Percentage of literate people of any city =$\frac{\text{Literate people of the city}}{\text{Total population of the city}} × 100$ The populations of the 6 cities are 250000$,$ 200000$,$ 220000$,$ 300000$,$ 150000 and 400000 respectively. What is the correct order of the number of literate people in these cities?
Option 1: City 6 > City 1 > City 4 > City 2 > City 3 > City 5
Option 2: City 4 > City 6 > City 1 > City 2 > City 3 > City 5
Option 3: City 6 > City 4 > City 1 > City 3 > City 2 > City 5
Option 4: City 6 > City 1 > City 4 > City 3 > City 2 > City 5
Correct Answer: City 6 > City 1 > City 4 > City 3 > City 2 > City 5
Solution : In city 1, there are 80% of 250000 literate people, i.e. $80 \times \frac{250000}{100}=200000$ literate people. In city 2, there are 85% of the 200000 literate people, i.e. $85
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