Staff Selection Commission Combined Higher Secondary Level Exam
Question : From May 2017, the Real Estate Act has come into effect. Under the Act, the Regulatory Authorities are required to dispose of complaints in how many days?
Option 1: 60
Option 2: 30
Option 3: 45
Option 4: 90
Correct Answer: 60
Solution : The correct answer is 60.
The Real Estate Regulatory Authority (RERA) is a governing organization that serves as a quick dispute resolution mechanism and is established by the Real Estate Act of 2017 in each state to regulate the real estate industry. Under this Act
Question : Directions: In a certain code language, ANSWER is coded as APPWGO. What is the code for DEFINE in that code language?
Option 1: DGCIPB
Option 2: DGCJPD
Option 3: DGCIQD
Option 4: DGCIBB
Correct Answer: DGCIPB
Solution : Given: ANSWER is coded as APPWGO
Follow the pattern to obtain the code – Thus, ANSWER is coded as APPWGO. Similarly, follow the same pattern for DEFINE –
So, DEFINE is coded as DGCIPB. Hence, the first option is correct.
Question : If $A+\frac{1}{A}=-1$, then find the value of $\frac{{A}^6+{A}^3-1}{{~A}^9+{A}^3-1}$.
Option 1: 0
Option 2: –1
Option 3: 2
Option 4: 1
Correct Answer: 1
Solution : $A+\frac{1}{A}=-1$ ⇒ $A^2+A+1=0$ Now, $A^3-1^3 = (A-1) (A^2+A+1)$ ⇒$A^3-1 = (A-1)\times 0$ ⇒$A^3-1 =0$ ⇒$A^3=1$ So, $\frac{{A}^6+{A}^3-1}{{~A}^9+{A}^3-1}$ $=\frac{{(A^3)}^2+{A}^3-1}{{(A^3)}^3+{A}^3-1}$ $=\frac{1^2+1-1}{1^3+1-1}$ $= 1$ Hence, the correct answer is 1.
Question : Which district of Madhya Pradesh is a leading producer of copper?
Option 1: Balaghat
Option 2: Jabalpur
Option 3: Bhopal
Option 4: Gwalior
Correct Answer: Balaghat
Solution : The correct option is Balaghat.
The Balaghat district in Madhya Pradesh is a leading producer of copper in India. It is home to the Malanjkhand copper deposit, which is one of the largest copper deposits in the country. The Malanjkhand Copper Project, operated by
Question : A person lent Rs. 10,000 to B for 3 years and Rs. 6,000 to C for 4 years on Simple interest at the same rate of interest and received Rs. 5,400 in all from both of them as interest. What is the rate of interest (in percent)?
Option 1: 10
Option 2: 12.5
Option 3: 15
Option 4: 20
Correct Answer: 10
Solution : Let the rate be $r$. We know, Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$ So, interest from B = $\frac{10000×3×r}{100}=300r$ Also, interest from C = $\frac{6000×4×r}{100}=240r$ According to the question, ⇒ $300r+240r = 5400$ ⇒ $540r = 5400$ $\therefore r =10\%$ Hence, the correct
Question : Simplify the given expression. $\frac{x^3+y^3+z^3-3 x y z}{(x-y)^2+(y-z)^2+(z-x)^2}$
Option 1: $\frac{1}{3}(x+y+z)$
Option 2: $(x+y+z)$
Option 3: $\frac{1}{4}(x+y+z)$
Option 4: $\frac{1}{2}(x+y+z)$
Correct Answer: $\frac{1}{2}(x+y+z)$
Solution : By polynomial identity $x^3+y^3+z^3−3xyz = (x+y+z)(x^2+y^2+z^2−xy−yz−zx)$ = $\frac{1}{2}(x+y+z)(2x^2+2y^2+2z^2−2xy−2yz−2zx)$ = $\frac{1}{2}(x+y+z)(x^2−2xy+y^2+y^2−2yz+z^2+z^2−2xz+x^2)$ = $\frac{1}{2}[(x+y+z)(x−y)^2+(y−z)^2+(z−x)^2]$ $\therefore \frac{x^3+y^3+z^3-3 x y z}{(x-y)^2+(y-z)^2+(z-x)^2}$ = $\frac{\frac{1}{2}[(x+y+z)(x−y)^2+(y−z)^2+(z−x)^2]}{(x-y)^2+(y-z)^2+(z-x)^2}$ = $\frac{1}{2}(x+y+z)$ Hence, the correct answer is $\frac{1}{2}(x+y+z)$.
Question : Directions: In the following question, some parts of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select 'No Error'.
Acceptance is not about allowing everything to occur or to go on, (1) / it is neither related to passivity and weakness, (2) / nor is it about confirmation or mediocrity. (3) / No Error (4)
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 3
Solution : The error lies in the third part of the sentence because 'is it' should be replaced with 'it is' in order to follow parallelism in case of correlative conjunction neither......nor.
Therefore, the correct sentence should be "Acceptance is not about allowing everything to occur or
Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at MN as shown below.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear close to the mirror in the reflection. Here, according to the information provided, the mirror is placed on the right side of the figure (on line MN). So, the left side of the reflected image will appear
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. The entertainment (1)_______ built by Walt Disney is sometimes called the ‘House of Mouse’ in acknowledgement of the leading role played by Disney’s most famous creation, Mickey Mouse. Mickey’s round mouse ears, either in silhouette or adorning a hat, have become one of the most (2)_______ corporate logos in the world. But if a few business decisions in the 1920s had gone differently, they could have been rabbit ears. In the mid-1920s Disney was a young (3)________ producing a series called the Alice Comedies, short films that combined live-action footage with animated images so that human actors appeared to interact with cartoon characters. But he had grown tired of the series and wanted to move on to making completely animated films. In 1927 he got his wish, (4)_______ a deal with Universal to produce a new series based on the adventures of a character called Oswald the Lucky Rabbit. Both the name and the species of the character had been picked by Universal—'Oswald’ was (5)________ picked out of a hat of names, and the character was made a rabbit because there were already too many cartoon cats on the market. Question: Select the most appropriate option to fill in the blank number 2.
Option 1: visible
Option 2: measurable
Option 3: notifiable
Option 4: recognisable
Correct Answer: recognisable
Solution : The fourth option is the correct answer.
The term "recognisable" best captures the idea that Mickey Mouse's ears are widely identified and distinguished.
The meanings of the other options are as follows:
Visible means able to be seen.
Measurable means able to be measured.
Notifiable
Question : The capital of Rwanda is:
Option 1: Libreville
Option 2: Bogota
Option 3: Kigali
Option 4: Copenhagen
Correct Answer: Kigali
Solution : The correct answer is Kigali.
Rwanda is also known as the land of a thousand hills. Kigali is the capital city of Rwanda. It is the largest and most populous city in Rwanda. Kigali is also famous for the Kigali Amendment to the Montreal
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