Staff Selection Commission Combined Higher Secondary Level Exam
Question : Directions: In the given 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.
He has a ____ interest in studying human psychology.
Option 1: deep
Option 2: wide
Option 3: waist
Option 4: heavy
Correct Answer: deep
Solution : The second option is the correct choice.
"Deep interest" means an intense level of curiosity in something, which in this case is studying human psychology.
The meanings of the other options are as follows:
Question :
Panther Pardus is the scientific name of
Option 1:
Leopard
Option 2:
Tiger
Option 3: Lion
Option 4: Panther
Correct Answer:
Solution : The correct option is Leopard
The formal system of naming organisms in a standardised and internationally recognised manner is known as scientific nomenclature. Carl Linnaeus developed this binomial naming system, known as binomial nomenclature, used in taxonomy to categorise and identify live species. Tiger
Question : If (x – 8)2 – (x + 8)2 = 0. What is the value of x?
Option 1: 1
Option 2: 32
Option 3: 0
Option 4: –32
Correct Answer: 0
Solution : (x – 8)2 – (x + 8)2 = 0 ⇒ (x – 8 + x + 8)(x – 8 – x – 8) = 0 ⇒ (2x)(– 16) = 0 ⇒ x = 0 Hence, the correct answer is 0.
Question : If $a^2+b^2+c^2=ab+bc+ca$, then the value of $\frac{11a^4+13b^4+15c^4}{16a^2b^2+19b^2c^2+17c^2a^2}$ is:
Option 1: $1 \frac{1}{3}$
Option 2: $\frac{1}{4}$
Option 3: $\frac{3}{4}$
Option 4: $1 \frac{3}{4}$
Correct Answer: $\frac{3}{4}$
Solution : Given: $a^2+b^2+c^2=ab+bc+ca$ So, $2a^2+2b^2+2c^2-2a b-2b c-2c = 0$ ⇒ $(a-b)^2+(b-c)^2+(c-a)^2=0$ If some of the positive terms are 0, the terms are themselves 0. ⇒ $(a-b)=(b-c)=(c-a)=0$ ⇒ $a=b=c$ So, $\frac{11a^4+13b^4+15c^4}{16a^2b^2+19b^2c^2+17c^2a^2}$ = $\frac{11a^4+13a^4+15a^4}{16a^2a^2+19a^2a^2+17a^2a^2}$ = $\frac{11+13+15 }{16+19+17}$ = $\frac{39}{52}$ = $\frac{3}{4}$ Hence, the correct answer is $\frac{3}{4}$.
Question : Directions: If it was Thursday yesterday, then what was the day of the week 73 days ago from today?
Option 1: Tuesday
Option 2: Wednesday
Option 3: Sunday
Option 4: Thursday
Correct Answer: Tuesday
Solution : Given: Yesterday was Thursday. So, today will be Friday.
Now, on dividing 73 by 7, we get 3 as a remainder. So, 3 days before Friday was Tuesday.
So, 73 days ago from today was Tuesday. Hence, the first option is correct.
Question : Improve the underlined part of the sentence. Choose 'No improvement' as an answer if the sentence is grammatically correct. The crime scene were surround by yellow tape.
Option 1: No improvement
Option 2: was surrounded
Option 3: were surrounded
Option 4: was surround
Correct Answer: was surrounded
Solution : The correct choice is the second option.
We should always use the singular noun with the singular verb. The verb "surround" needs to be in past participle form to correctly form the passive voice. And "were" would be replaced with "was" to maintain
Question : Directions: Which one set of letters when sequentially placed at the gaps in the given letter series shall complete it? _bcc_aabc_baab_
Option 1: acac
Option 2: abcc
Option 3: acbc
Option 4: abac
Correct Answer: abcc
Solution : Given: _bcc_aabc_baab_
To fill the series we have to divide the series — _bc / c _a / abc /_ba / ab_ Let's check the option — First option: acac; abc / cca /abc / aba / abc (No repeated
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'.
I admit that (1) / I have some doubts (2) / about your honesty. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The error lies in the second part of the sentence.
Doubts should be replaced with doubt to convey that the speaker is admitting that he has some doubts about the honesty of the person.
The sentence conveys a feeling of being uncertain that there is
Question : In a quarterly examination, a student secured 30% marks and failed by 12 marks. In the same examination, another student secured 40% marks and got 28 marks more than the minimum marks to pass. The maximum marks in the examination are:
Option 1: 300
Option 2: 500
Option 3: 700
Option 4: 400
Correct Answer: 400
Solution : Let the maximum marks be $x$. Passing marks = 30% of $x$ + 12 = 40% of $x$ – 28 ⇒ $(\frac{30}{100}×x)+12 $ = ($\frac{40}{100}×x) - 28$ ⇒ $(\frac{10}{100}×x) = 40$ So, the maximum marks, $x$ = 400 Hence, the correct answer is 400.
Question : A certain amount of money was lent for 1 year 9 months at a rate of 10% per annum compounded annually. If the compound interest is INR 1,460, find the amount of money lent.
Option 1: INR 8,200
Option 2: INR 7,500
Option 3: INR 6,000
Option 4: INR 8,000
Correct Answer: INR 8,000
Solution : Let the money lent be INR $P$. Rate of interest, $R$ = 10% per annum Time, $t$ = 1 year 9 months Compound interest = INR 1,460 $10\% \; \text {of} \;P + \frac{P\times 10\times 9}{100\times 12} + 10\% \; \text {of} \frac{ \;P\times
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