Staff Selection Commission Combined Higher Secondary Level Exam
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 letter of each word is t, n, l, s, n. Based on the alphabetical order of these letters, we can arrange them – Moult, Mount, Mound, Mouse, Mouth Step 3: Compare the fifth letter of (Mount, Mound). Mound will come before Mount in the sequence as d comes before t in the alphabetical system.
So, the sequence is Moult, Mound, Mount, Mouse, Mouth, or 3, 5, 2, 4, 1. Hence, the first option is correct.
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, $\frac{60x}{48x+8000}=\frac{15}{14}$ $⇒56x=48x+8000$ $⇒x=1000$ Therefore, the investment of C at the beginning = 3 × 1000 = Rs. 3,000 Hence, the correct answer is Rs. 3,000.
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 to various fields, including the arts, culture, and dance. V. Satyanarayana Sarma received the Padma Shri for his significant contributions to the field of Kuchipudi dance.
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 is 8800 cm3.
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 apologises, he will not be allowed to stay with us."
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.
Question : Directions: Select the option in which the numbers share the same relationship in the set as that shared by the numbers in the given set. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g.13 – operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (48, 16, 192) (22, 62, 341)
Option 1: (32, 24, 222)
Option 2: (74, 38, 713)
Option 3: (84, 78, 1638)
Option 4: (92, 46, 1068)
Correct Answer: (84, 78, 1638)
Solution : Given: (48, 16, 192) (22, 62, 341)
Here, (48, 16, 192)→(48 ÷ 2) × (16 ÷ 2) = 24 × 8 = 192 (22, 62, 341)→(22 ÷ 2) × (62 ÷ 2) = 11 × 31 = 341
Now, let's check the options – First option: (32, 24, 222)→(32 ÷ 2) × (24 ÷ 2) = 16 × 12 = 192 ≠ 222 Second option: (74, 38, 713)→(74 ÷ 2) × (38 ÷ 2) = 37 × 19 =703 ≠ 713 Third option: (84, 78, 1638)→(84 ÷ 2) × (78 ÷ 2) = 42 × 39 = 1638 Fourth option: (92, 46, 1068)→(92 ÷ 2) × (46 ÷ 2) = 46 × 23 = 1058 ≠ 1068
So, only the third option follows the same pattern as followed by the given set of numbers. Hence, the third option is correct.
Question : Directions: In the following question, a sentence is given with blanks that are to be filled in with appropriate words. Four alternatives are suggested; choose the correct alternative out of them as your answer.
The speeding car ____ a man this morning.
Option 1: knocked down
Option 2: pushed out
Option 3: hit about
Option 4: hit out
Correct Answer: knocked down
Solution : The first option is the correct answer, as "knocked down."
"Knocked down" is a phrasal verb that means to cause something to fall or be toppled over by a forceful impact.and is used to describe a situation in which a moving vehicle, such as a car, strikes and causes someone to fall, and this fits perfectly in the sentence.
Therefore, the complete sentence is, "The speeding car knocked down a man this morning."
Question : If $p^2-4 p-1=0$, then the value of $p^2+3 p+\frac{1}{p^2}-\frac{3}{p}$ is:
Option 1: 40
Option 2: 50
Option 3: 65
Option 4: 30
Correct Answer: 30
Solution : Given: $p^2-4 p-1=0$ ⇒ $p-\frac{1}{p}=4$ Squaring both sides, we get: $⇒(p-\frac{1}{p})^2=(4)^2$ $⇒ (p^2+\frac{1}{p^2}-2×p×\frac{1}{p})=16$ $⇒ (p^2+\frac{1}{p^2})=16+2$ $⇒ (p^2+\frac{1}{p^2})=18$ Now, $p^2+3 p+\frac{1}{p^2}-\frac{3}{p}$ $=p^2+\frac{1}{p^2}+3 p-\frac{3}{p}$ $=p^2+\frac{1}{p^2}+3(p-\frac{1}{p})$ Putting the values, we get: $=18+3×4$ $=30$ Hence, the correct answer is 30.
Question : The following pie chart shows the percentage distribution of school expenditure. If the teacher's salary and rent together is INR 45 lakhs, then find the savings.
Option 1: INR 22,53,000
Option 2: INR 24,75,000
Option 3: INR 16,87,500
Option 4: INR 20,25,000
Correct Answer: INR 20,25,000
Solution : The total sum of the teacher's salary and rent = INR 45 lakhs $\therefore$ (15% + 25%) of school expenditure = 45,00,000 School expenditure = $\frac{100}{40}×4500000$ = 2.5 × 4500,000 = 1,12,50,000 $\therefore$ Savings = 18% of school expenditure = $\frac{18}{100}×11250000$ = 20,25,000 Hence, the correct answer is INR 20,25,000.
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