Staff Selection Commission Combined Higher Secondary Level Exam
Question : Choose the incorrectly spelt word.
Option 1: Bubble
Option 2: Fantsy
Option 3: Stormy
Option 4: Mince
Correct Answer: Fantsy
Solution : The correct choice is the second option.
The correct spelling of the word is fantasy. The vowel 'a' is missing after the letter 't'.
Fantasy refers to a genre of imaginative fiction involving magical or supernatural elements, often set in an unreal or whimsical world.
Question : Directions: In the following question, some parts of the sentence may have 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'.
Water contamination has become more serious (1) / since chemists have begun to use (2) / new substances. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Explanation: The verb "using" (gerund) should replace "to use" (infinitive) in the second part of the sentence. The verb "have begun" is followed by a gerund (the -ing form of a verb) when indicating an ongoing
Question : Directions: The position of how many letters will remain unchanged if each of the letters in the word ACQUIRE is arranged alphabetically.
Option 1: Three
Option 2: Four
Option 3: Two
Option 4: One
Correct Answer: Three
Solution : Given: ACQUIRE
When the letters of ACQUIRE are arranged in alphabetical order, the letter cluster formed is ACEIQRU.
So, 3 letters i.e. A, C, and R are in the same position as before. Hence, the first option is correct.
Question : Which of the following is an incorrect statement regarding the meaning of 'Union of States' in the Indian context?
Option 1: The country was divided into different states for administrative convenience.
Option 2: Indian Federation was the result of an agreement by sovereign units to join it.
Option 3: Enumerates the power of centres and states through various lists.
Option 4: Federation not being the result of agreement, no state has a right to secede from it.
Correct Answer: Indian Federation was the result of an agreement by sovereign units to join it.
Solution : The correct option is the Indian Federation was the result of an agreement by sovereign units to join it.
The statement "Indian federation was the result of an agreement by sovereign
Question : A train of length 300 metres crosses a tree in 20 seconds and crosses another train of the same length travelling in the opposite direction in 25 seconds. What is the speed of the second train?
Option 1: 10 m/s
Option 2: 12 m/s
Option 3: 15 m/s
Option 4: 9 m/s
Correct Answer: 9 m/s
Solution : Given, Length of the train = 300 m Time to cross a tree = 20 sec Time to cross another train = 25 sec We know, Speed = $\frac{\text{Distance}}{\text{Time}}$ ⇒ Speed of first train $=\frac{\text{Length of train}}{\text{Time}} = \frac{300}{20} = 15$ m/s Relative speed
Question : Two circles touch each other externally, having a radius of 12 cm and 8 cm, respectively. Find the length of their common tangent AB with point A on the bigger circle and B on the smaller circle.
Option 1: $8 \sqrt{6} \mathrm{~cm}$
Option 2: $8 \sqrt{3} \mathrm{~cm}$
Option 3: $12 \sqrt{3} \mathrm{~cm}$
Option 4: $12 \sqrt{6} \mathrm{~cm}$
Correct Answer: $8 \sqrt{6} \mathrm{~cm}$
Solution : Given: $R_1$ = 12 cm $R_2$ = 8 cm Thus, direct common tangent = $2\sqrt{R_1R_2}$ = $2\sqrt{12×8}$ = $8\sqrt{6}$ Hence, the correct answer is $8 \sqrt{6} \mathrm{~cm}$.
Question : Directions: In a certain code language, NATURE is coded as 279346 and LEARNT is coded as 794621. What is the code for L in the given code language?
Option 1: 2
Option 2: 1
Option 3: 7
Option 4: 9
Correct Answer: 1
Solution : Given: NATURE→279346 LEARNT→794621
On comparing both words, we find that – In words 1 and 2, N, A, T, R, E, and 2, 7, 9, 4, 6 are common. The remaining letters and code in word 1 are U and 3, and in word 2
Question : Select the most appropriate ANTONYM of the underlined word.
My friend believes in supernatural elements in the universe.
Option 1: Magical
Option 2: Usual
Option 3: Unkind
Option 4: Unnatural
Correct Answer: Usual
Explanation: Supernatural refers to phenomena beyond the natural world or laws of nature. Its opposite, usual denotes things that are within the realm of regular or ordinary occurrences.
The meanings of the other options are:
Question : If $\small c+\frac{1}{c}=3$, then the value of $\left (c-3 \right )^{7}+\frac{1}{c^{7}}$ is:
Option 2: 0
Option 3: 3
Option 4: 1
Correct Answer: 0
Solution : Given: $c+\frac{1}{c}=3$ $⇒ c-3 =-\frac{1}{c}$----------(1) Now, $\left (c-3 \right )^{7}+\frac{1}{c^{7}}$ Substituting the value of equation 1, we get, $= (-\frac{1}{c})^{7}+\frac{1}{c^{7}}$ $=-\frac{1}{c^{7}}+\frac{1}{c^{7}}$ $=0$ Hence, the correct answer is 0.
Question : Directions: Which two numbers (not digits) should be interchanged to make the given equation correct? 5 – 6 ÷ 3 × 9 + 1 = 0
Option 1: 1 and 0
Option 2: 6 and 9
Option 3: 5 and 9
Option 4: 6 and 3
Correct Answer: 5 and 9
Solution : Given: 5 – 6 ÷ 3 × 9 + 1 = 0
Let's check the options – First option: 1 and 0 5 – 6 ÷ 3 × 9 + 1 = 0 On interchanging the numbers, we get – ⇒ 5 –
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