Staff Selection Commission Combined Higher Secondary Level Exam
Question : Directions: In the following question, a series is given with one term missing. Choose the correct alternative from the given ones that will complete the series. ZYXABCWVDEU?
Option 1: V
Option 2: F
Option 3: T
Option 4: E
Correct Answer: F
Solution : Given: ZYXABCWVDEU?
Divide the series in decreasing order→ZYX / ABC / WV / DE / U / ? Here, every alternate part starting from the first is written in decreasing order – ZYX→Z – 1 = Y; Y – 1 = X; X – 1=
Question : If $\sec A=\frac{9}{4}$, then what is the value of $\cot A$?
Option 1: $\frac{4}{\sqrt{65}}$
Option 2: $\frac{9}{\sqrt{65}}$
Option 3: $\frac{\sqrt{65}}{9}$
Option 4: $\frac{\sqrt{65}}{4}$
Correct Answer: $\frac{4}{\sqrt{65}}$
Solution : Given: $\sec A=\frac{9}{4}$ We know that, $\sec^2 A-\tan^2 A=1$ ⇒ $\tan^2 A=\sec^2 A-1$ Putting the value, we get: ⇒ $\tan^2 A=(\frac{9}{4})^2-1$ ⇒ $\tan^2 A=\frac{81}{16}-1$ ⇒ $\tan^2 A=\frac{65}{16}$ ⇒ $\tan A=\frac{\sqrt{65}}{4}$ $\therefore \cot A=\frac{4}{\sqrt{65}}$ Hence, the correct answer is $\frac{4}{\sqrt{65}}$.
Question : Directions: After interchanging the given two numbers (Not digits) what will be the values of expression (I) and (II) respectively? 6 and 9 I. 9 ÷ 3 × 4 – 6 + 5 II. 9 + 3 ÷ 2 × 4 – 6
Option 1: 4 and 3
Option 2: 10 and 9
Option 3: 9 and 10
Option 4: 3 and 4
Correct Answer: 4 and 3
Solution : Given: I. 9 ÷ 3 × 4 – 6 + 5 II. 9 + 3 ÷ 2 × 4 – 6
On interchanging the numbers in the given equation, we get – Equation I. 6 ÷ 3 × 4 – 9 + 5
Question : Directions: In the following question, some parts of the sentence may have some 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'.
Too great a (1) / variety of studies (2) / distract the mind. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The correct choice is the third option.
There is an error in the subject-verb agreement in the sentence. To conform to subject-verb agreement, the singular form "distracts" should be used to comply with the subject, as the singular noun is followed by the base
Question : Directions: Select the related letters/numbers from the given alternatives. HI : 17 :: PQ : ?
Option 1: 37
Option 2: 24
Option 3: 30
Option 4: 33
Correct Answer: 33
Solution : Given: HI: 17:: PQ : ?
Add the place values of the letters in the cluster. Like, H + I = 8 + 9 = 17 Similarly, P + Q = 16 + 17 = 33
Hence, the fourth option is correct.
Question : Directions: Select the related word from the given alternatives in the following question. Heart : Cardiologist :: Kidney : ?
Option 1: Endocrinology
Option 2: Orthodontist
Option 3: Nephrologist
Option 4: Neurologist
Correct Answer: Nephrologist
Solution : Given: Heart : Cardiologist :: Kidney : ?
Like, a cardiologist refers to a doctor who specializes in treating heart diseases. Similarly, a nephrologist refers to a doctor who specializes in treating kidney diseases.
Therefore, a nephrologist is related to the kidney. Hence, the third
Question : If $x+\frac{1}{x}=2 K$, then what is the value of $x^4+\frac{1}{x^4}$?
Option 1: $16 {K}^4-16 {K}^2-1$
Option 2: $8 {K}^4+4 {K}^2-1$
Option 3: $16 {K}^4-16 {K}^2+2$
Option 4: $16 {K}^4-4 {K}^2-1$
Correct Answer: $16 {K}^4-16 {K}^2+2$
Solution : $x+\frac{1}{x}=2 K$ $⇒(x+\frac{1}{x})^2=(2 K)^2$ $⇒x^2+\frac{1}{x^2}+2 = 4K^2$ $⇒x^2+\frac{1}{x^2} = 4K^2 -2$ $⇒(x^2+\frac{1}{x^2})^2 = (4K^2 -2)^2$ $⇒x^4+\frac{1}{x^4}+2 = 16K^4-16K^2+4$ $⇒x^4+\frac{1}{x^4} = 16K^4-16K^2+2$ Hence, the correct answer is $16K^4-16K^2+2$.
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 Grim Reaper seems to have (1)__________ in Europe during the 14th century. It was during this time that Europe was dealing with what was then the world's (2)___________ pandemic, the Black Death, believed to be the result of the plague. It is estimated that about one-third of Europe's entire population (3)__________ as a result of the pandemic, with some areas of the continent suffering far greater losses than others. The original outbreak of the plague occurred during 1347-51, and outbreaks then (4)____________ several other times after that. So, death was something that the surviving Europeans had on their mind, and it is not surprising that they (5)____________ an image to represent it.
Question: Select the most appropriate option to fill in the blank number 1.
Option 1: found
Option 2: appeared
Option 3: rested
Option 4: died
Correct Answer: appeared
Solution : The correct choice is the second option.
"Appeared" means to become visible or noticeable and is the appropriate word that helps in conveying the intended meaning that the Grim Reapers seemed to have appeared in Europe during the 14th century.
Therefore, the complete sentence is:
Question : The chemical formula of washing soda is
Option 1: Na2So4 .10H2O
Option 2: NaHCO3
Option 3: Na2CO3.10H2O
Option 4: Ca(OH)2
Correct Answer: Na2CO3.10H2O
Solution : The correct answer is Na2CO3.10H2O.
Sodium carbonate decahydrate (Na2CO3·10H2O), also known as washing soda, is the most common hydrate of sodium carbonate, having 10 molecules of water
Question : What is the name of the thermionic electron tube used to oscillate and amplify microwave frequency signals?
Option 1: Neutrino
Option 2: Beam tetrodes
Option 3: Klystron
Option 4: Thyratron
Correct Answer: Klystron
Solution : The correct answer is Klystron.
A klystron is a vacuum tube used to oscillate and amplify microwave-frequency signals. It is a specialised linear beam vacuum tube, and these are used as amplifiers. It has an elongated tube, which is called the drift tube, separating
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