Staff Selection Commission Combined Higher Secondary Level Exam
Question : If a, b, c are real and $a^{2}+b^{2}+c^{2}=2(a-b-c)-3, $ then the value of $2a-3b+4c$ is:
Option 1: –1
Option 2: 0
Option 3: 1
Option 4: 2
Correct Answer: 1
Solution : Given: $a^{2}+b^{2}+c^{2}=2(a-b-c)-3$. We can simplify the above equation as follows: ⇒ $a^{2}+b^{2}+c^{2}=2a-2b-2c-3$ ⇒ $a^{2}-2a+1+b^{2}+2b+1+c^{2}+2c+1=0$ ⇒ $(a-1)^{2}+(b+1)^{2}+(c+1)^{2}=0$ $\therefore a=1, b=-1,c=-1$ Putting the values of $a, b, c$ in $2a-3b+4c$, we get: $2+3-4=1$ Hence, the correct answer is 1.
Question : Directions: Four number pairs have been given, out of which three are alike in some manner and one is different. Select a different one.
Option 1: 15 – 225
Option 2: 19 – 361
Option 3: 9 – 81
Option 4: 4 – 64
Correct Answer: 4 – 64
Solution : Let's check the options – First option: 15 – 225→(15)2 = 225 Second option: 19 – 361→(19)2 = 361 Third option: 9 – 81→(9)2 = 81 Fourth option: 4 – 64→(4)3 = 64
The fourth option is different from
Question : A can do a certain work in 9 days. B is 80% more efficient than A. How many days will B and A together take to do the same work?
Option 1: $\frac{45}{14}$ Days
Option 2: $\frac{54}{13}$ Days
Option 3: $\frac{47}{14}$ Days
Option 4: $\frac{44}{13}$ Days
Correct Answer: $\frac{45}{14}$ Days
Solution : According to the question, A can do a certain work in 9 days. B is 80% more efficient than A. So, the ratio of efficiencies of A and B = 100 : 180 = 5 : 9 Total work = Time $\times$ Efficiency ⇒
Question : Select the option that can be used as a one-word substitute for the given group of words.
One who studies the evolution of mankind
Option 1: Anarchist
Option 2: Amateur
Option 3: Anthropologist
Option 4: Antagonist
Correct Answer: Anthropologist
Solution : The correct choice is the third option.
An anthropologist is a person who studies the development, behaviour, and physical, social, and cultural aspects of humans from primitive times.
The meanings of the other options are as follows:
Question : Directions: If V stands for ÷, Z stands for ×, M stands for +, and P stands for –, then what will come in place of the question mark (?) in the following equation? 81 M 46 P 72 V 12 Z 12 = ?
Option 1: 10
Option 2: 35
Option 3: 15
Option 4: 55
Correct Answer: 55
Solution : Given: 81 M 46 P 72 V 12 Z 12 = ?
After replacing the letters as per the directions given in the question, the equation becomes – = 81 + 46 – 72 ÷ 12 × 12 = 81 + 46 – 6 ×
Question : Select the most appropriate idiom for the underlined segment in the following sentence.
The proud people forget the fact that the world is tangible.
Option 1: Hobson’s choice
Option 2: Head and shoulders
Option 3: High and mighty
Option 4: Hard-nosed attitude
Correct Answer: High and mighty
Explanation: "High and mighty" is an idiom used to characterise individuals who are arrogant, self-important, or condescending. It aligns with the idea of pride and a lack of humility, making it a suitable choice in this
Question : The line chart given below shows the production of bikes and trucks by five companies. Which of the following statements is NOT correct? I. The total production of trucks by all 5 companies is 201.50 percent of the total production of bikes by all 5 companies. II. The average production of bikes and trucks by company R is 800.
Option 1: Only I
Option 2: Both I and II
Option 3: Only II
Option 4: Neither I nor II
Correct Answer: Only I
Solution : I. Total production of trucks by all 5 companies = 700 + 500 + 400 + 800 + 850 = 3250 units Total production of bikes by all 5 companies = 900 + 650 + 700 + 450 + 500 = 3200 units Required
Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at MN as shown.
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 : Directions: In a certain code language, ALWAYS is coded as AKYAXU. What is the code for BEYOND in that code language?
Option 1: BDAOMG
Option 2: BDAOME
Option 3: BDAOMF
Option 4: BDBOMF
Correct Answer: BDAOMF
Solution : Given: ALWAYS is coded as AKYAXU.
Subtract 0, and 1 from the place value of the letters and add 2 to the place value of the letters of ALWAYS to obtain the required code – A – 0 = A; L – 1 = K;
Question : In the given expression of GDP according to the expenditure method, which of the following represents the aggregate import expenditure incurred by the economy? C + I + G + X – M
Option 1: C
Option 2: M
Option 3: I
Option 4: X
Correct Answer: M
Solution : The correct option is M.
In the given expression of GDP according to the expenditure method: C + I + G + (X − M). X represents exports (income from exports), and M represents imports expenditure. Therefore, (X − M) represents net exports or the
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