Staff Selection Commission Combined Higher Secondary Level Exam
Question : If $9\sqrt{x}=\sqrt{12}+\sqrt{147}$, then $x$ =?
Option 1: 5
Option 2: 3
Option 3: 2
Option 4: 4
Correct Answer: 3
Solution : $9\sqrt{x} = \sqrt{12} + \sqrt{147}$ ⇒ $9\sqrt{x} = 2\sqrt{3} + 7\sqrt{3}$ ⇒ $9\sqrt{x} = 9\sqrt{3}$ $\therefore x = 3$ Hence, the correct answer is 3.
Question : Comprehension:
In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each number.
Today, I want to talk to you about a very simple matter, that is, simple conversations. When we learn to speak, (1) ___ come words, then phrases, and then scripts. You would agree that the larger the bundles of words we (2) ___, the less we have to worry about combining them into sensible (3) ____. Also, the less we have to fret over syntax or (4) ___. Do you think you choose the words? Do you pre-rehearse every time you go out? (5) ____ what happens when you walk into a fast-food restaurant. My dear, how do you react in those real-life situations?
Question:
Select the most appropriate option to fill in the blank no. 5.
Option 1: Supplicate
Option 2: Dramatise
Option 3: Formerly display
Option 4: Consider
Correct Answer: Consider
Solution : The correct choice is the fourth option.
Consider means to think about something, typically before making a decision or forming an opinion. It involves examining or reflecting on various aspects of a situation.
The meanings of the other options are as follows:
Question : Gurunaidu Sanapathi, who became India's first weightlifter to win a gold medal at the IWF in 2022, is from which state?
Option 1: Kerala
Option 2: Tamil Nadu
Option 3: Andhra Pradesh
Option 4: Odisha
Correct Answer: Andhra Pradesh
Solution : The correct answer is Andhra Pradesh.
Gurunaidu Sanapathi has become India's first weightlifter to win a gold at the IWF Youth World Championship in Leon, Mexico. The 16-year-old claimed the medal with a total effort of 230 kg (104 kg + 126 kg)
Question : Select the option that can be used as a one-word substitute for the given group of words/phrase. A person who has features of extrovert and introvert
Option 1: Stoic
Option 2: Ambivert
Option 3: Ambiguous
Option 4: Dual
Correct Answer: Ambivert
Solution : The correct choice is the second option.
Ambivert: It denotes a person who has a balance of extrovert and introvert features in their personality.
The meanings of the other options are:
Question : If a 10-digit number $620x976y52$ is divisible by 88, then the least value of $(x^2+y^2)$ will be:
Option 1: 8
Option 2: 7
Option 3: 11
Option 4: 10
Correct Answer: 10
Solution : Given number = $620x976y52$ Co-prime factors of $88 = 8 × 11$ For the smallest possible value of $y$, $y52$ will be divisible by 8 So, $y$ will be 1 for 152, which is divisible by 8. As $y = 1$, the possible value of
Question : International Tiger Day is observed on ______.
Option 1: July 5th
Option 2: July 30th
Option 3: July 29th
Option 4: July 4th
Correct Answer: July 29th
Solution : The correct option is July 29th.
International Tiger Day is observed on July 29th every year. This day is dedicated to raising awareness about tiger conservation and the need to protect the habitats of these magnificent creatures. Various organisations and initiatives use this day
Question : If $\operatorname{cosec} A+\cot A=7$, then $\operatorname{cosec} A$ is equal to:
Option 1: $\frac{11}{7}$
Option 2: $\frac{16}{7}$
Option 3: $\frac{25}{7}$
Option 4: $\frac{19}{7}$
Correct Answer: $\frac{25}{7}$
Solution : We know if $\operatorname{cosec}x + \cot x = a$, then $\operatorname{cosec} x - \cot x = \frac{1}{a}$ Given, $\operatorname{cosec} A+\cot A=7$ ........(1) ⇒ $\operatorname{cosec} A-\cot A=\frac17$ .........(2) Solving these equations to get the value of $\operatorname{cosec} A$ (1) + (2), we get, ⇒ $\operatorname{cosec} A+\cot
Question : Directions: In the following question, select the odd word pair from the given alternatives.
Option 1: Scalpel - Surgeon
Option 2: Axe - Woodcutter
Option 3: Sword - Warrior
Option 4: Sculptor-Chisel
Correct Answer: Sculptor-Chisel
Solution : Let's check each option – First option: Scalpel - Surgeon; The scalpel is an essential tool used by surgeons. Second option: Axe - Woodcutter; An axe is a tool used by woodcutter. Third option: Sword - Warrior; A sword is used by a warrior. Fourth
Question : Directions: If A stands for ÷, B stands for ×, C stands for +, and D stands for – what will come in place of the question mark (?) in the following equation? 13 B 145 A 29 C 69 D 17 = ?
Option 1: 119
Option 2: 121
Option 3: 115
Option 4: 117
Correct Answer: 117
Solution : Given: A stands for ÷, B stands for ×, C stands for +, D stands for – 13 B 145 A 29 C 69 D 17 = ?
Changing the sign as per the instruction and solving the equation, we will get – = 13
Question : Aditya can complete a grill painting job in 20 hours, while Vinay can complete the same work in 15 hours. If Aditya and Vinay both work together, then in how many hours will the painting work be completed?
Option 1: $10 \frac{2}{3}$ hours
Option 2: $10$ hours
Option 3: $12$ hours
Option 4: $8 \frac{4}{7}$ hours
Correct Answer: $8 \frac{4}{7}$ hours
Solution : Given: Aditya can complete a grill painting job in 20 hours. Vinay can complete the same work in 15 hours. Let the total work be LCM of (20, 15) = 60 units ⇒ Efficiency of Aditya = $\frac{60}{20} = 3$ units/hour ⇒ Efficiency
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