Staff Selection Commission Combined Higher Secondary Level Exam
Question : If $\sin7x=\cos11x$, then the value of $\tan9x+\cot9x$ is:
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 2
Solution : We know that $\sin(90° - \theta) = \cos\theta$ $\sin7x = \cos11x$ $⇒\sin7x = \sin (90° - 11x)$ $⇒7x = 90° - 11x$ $⇒18x = 90°$ $⇒x = 5°$ Substituting $x = 5°$ in $\tan9x+\cot9x$, $\therefore\tan45° + \cot45°=1 + 1= 2$ Hence, the correct answer is
Question : Find the part of the given sentence that has an error in it. If there is no error, choose 'No error'.
I will never judge you for yours impromptu performance.
Option 1: I will never
Option 2: yours impromptu performance.
Option 3: judge you for
Option 4: No error
Correct Answer: yours impromptu performance.
Solution : The correct choice is in the second option.
Explanation:
The error lies in the use of the possessive pronoun "yours". "Yours" is a possessive pronoun and does not require an additional subject. The correct form is "your impromptu performance", where your
Question : The table given below shows the performance of students of class 10 according to the NAS survey in Delhi.
The highest average performance is for__________.
Option 1: Proficient
Option 2: Below Basic
Option 3: Basic
Option 4: Advanced
Correct Answer: Below Basic
Solution : Average performance = $\frac{\text{Sum of performances in all subjects}}{\text{Number of subjects}}$ Average performance for Below Basic = $\frac{40+19+41+34+8}{5}$ = 28.4 Average performance for Basic = $\frac{35+45+29+21+5}{5}$ = 27 Average performance for Proficient = $\frac{20+25+25+33+34}{5}$ = 27.4 Average performance for Advance = $\frac{5+11+5+12+52}{5}$ = 17
Question : Who among the following was a Roman Catholic missionary who worked in Bengal for the majority of his/her life?
Option 1: Saint Bernadette
Option 2: Mother Teresa
Option 3: David of Basra
Option 4: Columba
Correct Answer: Mother Teresa
Solution : The correct answer is Mother Teresa.
Mother Teresa, formally known as Saint Teresa of Calcutta, was a Roman Catholic missionary who spent most of her life working in Bengal, primarily in Kolkata (formerly Calcutta). She arrived in India in 1929 and spent the
Question : Directions: Arrange the given words in the sequence in which they occur in the dictionary. 1. Mouth 2. Mount 3. Moult 4. Mouse 5. Mound
Option 1: 3, 5, 2, 4, 1
Option 2: 5, 3, 4, 2, 1
Option 3: 3, 5, 2, 1, 4
Option 4: 5, 3, 2, 4, 1
Correct Answer: 3, 5, 2, 4, 1
Solution : Given: 1. Mouth 2. Mount 3. Moult 4. Mouse 5. Mound
Step 1: The first three letters of each word are the same M, o, and u, so move on to the next letter. Step 2: The fourth
Question : A, B, and C entered into a business and their investment ratio was 5 : 4 : 3. After 4 months B invested Rs. 1,000 more and after 8 months C invested Rs. 2,000 more. At the end of one year, the profit ratio was 15 : 14 : 11, then the investment of C at the beginning was:
Option 1: Rs. 3,000
Option 2: Rs. 6,000
Option 3: Rs. 4,500
Option 4: Rs. 7,500
Correct Answer: Rs. 3,000
Solution : Let the opening shares of A, B, and C be $5x$, $4x$, and $3x$. Ratio of profit = Ratio of investment × Ratio of time The share of A, $=5x\times12=60x$ The share of B, $=4x\times12+1000\times8=48x+8000$ The share of C, $=3x\times12+2000\times4=36x+8000$ According to the question,
Question : With which of the following awards was Kuchipudi dancer V. Satyanarayana Sarma honoured?
Option 1: Kalidas Samman
Option 2: Kabir Puraskar
Option 3: Padma Shri
Option 4: Moortidevi Award
Correct Answer: Padma Shri
Solution : The correct answer is Padma Shri.
Kuchipudi dancer V. Satyanarayana Sarma was honoured with the prestigious "Padma Shri" award. The Padma Shri is one of the highest civilian awards in India and is conferred by the Government of India in recognition of exceptional contributions
Question : If the height and slant height of a cone are 21 cm and 29 cm, respectively. Find its volume. (Use $\pi=\frac{22}{7}$)
Option 1: 8800 cm3
Option 2: 8708 cm3
Option 3: 8440 cm3
Option 4: 8080 cm3
Correct Answer: 8800 cm3
Solution : Given, height $= h = 21\ \mathrm{cm}$ Slant height $=l=29\ \mathrm{cm}$ Let $r$ be the radius. We know, $l^2=h^2+r^2$ ⇒ $r^2=l^2-h^2$ ⇒ $r^2=29^2-21^2$ ⇒ $r^2=841-441$ ⇒ $r^2=400$ ⇒ $r=20$ cm Now, Volume $=\frac{1}{3}\pi r^2h$ $=\frac{1}{3}\times\frac{22}{7}\times(20)^2\times21$ $=\frac{1}{3}\times\frac{22}{7}\times400\times21$ $=8800$ cm3 Hence, the correct answer
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".
Unless he apologises (1) / he should not be (2) /allowed to stay with us. (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.
Explanation: The modal verb "should" is replaced with "will", as it shows an assertion that unless he apologises, he will not be allowed to stay with us.
Therefore, the correct sentence is: "Unless he
Question : Direction: In a certain code, REDIP is the code for PRIDE. Which is the word for AERDC is that code?
Option 1: CADRE
Option 2: CARED
Option 3: RACED
Option 4: CEDAR
Correct Answer: CADRE
Solution : Given:
REDIP is the code for PRIDE.
Like, The letters of REDIP have been rearranged to form the word PRIDE.
Similarly, The word CADRE will be formed by rearranging the letters of the letter cluster AERDC.
Hence, the first option is correct.
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