Staff Selection Commission Combined Higher Secondary Level Exam
Question : If $3x-2y=3$ and $xy=9$, then find the value of $3x+2y$.
Option 1: 16
Option 2: 13
Option 3: 14
Option 4: 15
Correct Answer: 15
Solution : Given, $3x-2y=3$ and $xy=9$ Consider, $3x-2y=3$ Squaring both sides, we get, $(3x-2y)^2=3^2$ ⇒ $9x^2+4y^2-12xy=9$ Adding $24xy$ on the both sides, we get, ⇒ $9x^2+4y^2-12xy+24xy=9+24xy$ ⇒ $(3x+2y)^2+12xy=9+24xy$ ⇒ $(3x+2y)^2=9+24\times 9$ ⇒ $(3x+2y)^2=9+219$ ⇒ $(3x+2y)=\sqrt{225}$ ⇒ $(3x+2y)=15$ Hence, the correct answer is 15.
Question : Choose the word that is opposite in meaning to the given word.
Pliable
Option 1: Rigid
Option 2: Fluid
Option 3: Variable
Option 4: Ductile
Correct Answer: Rigid
Solution : The correct choice is the first option.
Explanation:
The word pliable means something that can be easily bent or is flexible. The word rigid within the options means unable to bend out of shape or something that is not flexible, which is the opposite of
Question : In which of the following States has the lowest child sex ratio as per the provisional result of the 2011 census?
Option 1: Haryana
Option 2: Punjab
Option 3: Bihar
Option 4: Uttar Pradesh
Correct Answer: Haryana
Solution : The correct answer is Haryana.
As per 2011 census lowest sex ratio is found in Haryana with only 879 females per thousand males. Sex ratio is a metric which measure number of females per thousand males and is calculated alongwith the decennial census. Among states
Question : Fill in the blank with an appropriate option.
We are the creative force of our life, and through our own decisions rather than our conditions, if we carefully learn to do certain things, we can ______ those goals.
Option 1: expel
Option 2: accomplish
Option 3: torment
Option 4: reverberate
Correct Answer: accomplish
Solution : The correct choice is the second option.
In the context of the sentence, the focus is on the ability to achieve goals through personal decisions and learning. The word accomplish aligns with this idea, indicating the successful completion or achievement of goals.
The meanings
Question : What should be added to $8(3x-4y)$ to obtain $(18x-18y)$?
Option 1: $6x-14y$
Option 2: $14y+6x$
Option 3: $14y-6x$
Option 4: $6xy$
Correct Answer: $14y-6x$
Solution : To find out what should be added to $8(3x-4y)$ to obtain $(18x-18y)$. We add the term $P$ to the expression. $⇒8(3x-4y) + P = 18x - 18y$ Where $P$ is the polynomial we want to find. $⇒24x - 32y + P = 18x - 18y$
Question : If the price of an article decreases from Rs. 80 to Rs. 60, the quantity demanded increases from 600 to 750 units. Find the point elasticity of demand.
Option 1: -1
Option 2: 1
Option 3: -1.25
Option 4: 1.25
Correct Answer: -1
Solution : The answer is (-1).
To determine the point elasticity of demand, we can use the following formula:
Point Elasticity of Demand (PED) = (%Change in Quantity Demanded)/(%Change in Price) Percentage Change in Quantity Demanded:
= [(New Quantity Demanded - Old Quantity Demanded)/Old
Question : Directions: In the question, a sentence is given with a blank to be filled in with an appropriate word. Four alternatives are suggested for each question. Choose the correct alternative out of the four alternatives.
The ____ of puppies is fond of milk.
Option 1: gang
Option 2: litter
Option 3: group
Option 4: litre
Correct Answer: litter
Solution : The correct choice to fill in the blank is the second option.
"Litter of puppies" refers to a group of pups born to the same mother and is the correct choice here, which helps in conveying the intended meaning of the sentence, which means that
Question : Directions: L is the sister of G. G is the son of M. M is married to D. D is the sister of E. E is the son of C. C is married to S. S is the sister of P. How is L related to E?
Option 1: Wife's sister
Option 2: Brother's daughter
Option 3: Sister's daughter
Option 4: Daughter
Correct Answer: Sister's daughter
Solution : As per the given information, the family tree will be as follows –
Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.
So, L is the sister's daughter (niece) of E. Hence, the third option is correct.
Question : Directions: In the following question, select the one that is different from the other three alternatives.
Option 1: (45, 18)
Option 2: (36, 27)
Option 3: (23, 14)
Option 4: (82, 29)
Correct Answer: (82, 29)
Solution : Let's check the options – First option: (45, 18); 4 + 5 = 9; 1 + 8 = 9 (The sum of the digits of both numbers is equal.) Second option: (36, 27); 3 + 6 = 9; 7 + 2 = 9 (The
Question : Directions: A cube is painted on all surfaces with an orange colour and is divided into 27 equal cubes. How many cubes will have only one face painted?
Option 1: 6
Option 2: 4
Option 3: 9
Option 4: 5
Correct Answer: 6
Solution : When a cube is divided into N equal parts, the number of cuts can be calculated as the cubic root of the given number N.
So, cube root of 27 = 3 N = 27; n = 3 The formula used for the number of
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