Staff Selection Commission Combined Higher Secondary Level Exam
Question : The following bar graph shows the sales of tractors by a showroom in different months. What was the approximate percentage decline from August to September?
Option 1: 33%
Option 2: 51%
Option 3: 46%
Option 4: 55%
Correct Answer: 46%
Solution : Number of tractors sold in September = 1875 Number of tractors sold in August = 3475 The decline in the number of tractors from August to September = 3475 – 1875 = 1600 Percentage decline in the number of tractors = $\frac{1600}{3475} \times 100 =
Question : Per Capita income is equal to
Option 1:
Option 2: National Income + Population
Option 3: National Income - Population
Option 4: National Income x Population
Correct Answer:
Solution : The Correct Answer is National Income / Total Population of the Country.
The mean income calculated for each man, woman, and child in a given group, including those residing in communal housing, is known as per capita income. A country's per capita income is determined by
Question : If $\tan 2 \theta=\cot \left(\theta-36^{\circ}\right)$, where $2 \theta$ is an acute angle, then the value of $\theta$ is:
Option 1: 18°
Option 2: 36°
Option 3: 30°
Option 4: 42°
Correct Answer: 42°
Solution : Given, $\tan 2 \theta=\cot \left(\theta-36^{\circ}\right)$ ⇒ $\tan 2 \theta=\tan \left(90^{\circ}-\theta+36^{\circ}\right)$ ⇒ $2\theta=126^{\circ}-\theta$ ⇒ $3\theta=126^{\circ}$ $\therefore \theta=42^{\circ}$ Hence, the correct answer is 42°.
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. Upgrading the higher education sector, especially in terms of patents filed and cutting-edge research output, is (1)______ in improving India’s global ranking. Our sustainable (2)______ development depends on human resources. A quality higher education base is essential to reap the full benefits of our demographic dividend. In higher education, the strategies of the 12th plan (3)______ on technical education, distance learning, quality research, infrastructure, faculty, and curriculum content. (4)______ efforts of the government departments and the private sector are needed to (5)______ the plan’s educational goals. Select the most appropriate option to fill in the blank number 5.
Option 1: remain
Option 2: realise
Option 3: conclude
Option 4: conduct
Correct Answer: realise
Solution : The correct choice is the second option.
Realise in this context means to achieve or make something happen. It indicates that the joint efforts of government departments and the private sector are necessary to achieve the educational goals outlined in the plan.
Explanations of the
Question : _________________ refers to the gross market value of all final goods and services produced within the domestic territory of a country during a period of one year.
Option 1: GDP at MP
Option 2: GDP at FC
Option 3: GNP at MP
Option 4: GNP at FC
Correct Answer: GDP at MP
Solution :
Question : If the sum of squares of two real numbers is 12 and the product of the numbers is 4, find the difference between the numbers.
Option 1: 4
Option 2: 8
Option 3: 1
Option 4: 2
Correct Answer: 2
Solution : Given: The sum of squares of two numbers = 12 Product of the numbers = 4 Let the numbers be $a$ and $b$. ⇒ $a^2+b^2=12$ and $ab = 4$ We know, $(a-b)^2=a^2+b^2-2ab$ ⇒ $(a-b)^2=12-2\times4$ ⇒ $(a-b)^2=12-8$ ⇒ $(a-b)^2=4$ ⇒ $a-b=\sqrt4=2$ Hence, the correct answer is
Question : Sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph. A. Isabel saw a strange rabbit running through the bushes. B. Following it, she found a door which she opened with the help of keys. C. After that, she felt a strange sensation in her body. D. She thought as if she was in a dream.
Option 1: CDAB
Option 2: DCAB
Option 3: BCDA
Option 4: ABCD
Correct Answer: ABCD
Solution : The correct choice is the fourth option.
A. Isabel saw a strange rabbit running through the bushes. (Introducing the initial action or event) B. Following it, she found a door, which she opened with the help of keys. (Continuation of the action initiated
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.
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