Staff Selection Commission Combined Higher Secondary Level Exam
Question : Directions: Select the word pair that best represents a similar relationship to the one expressed in the pair of words given below: (The words must be considered meaningful English words and must not be related to each other based on the number of letters/consonants/vowels in the word.) Bitter : Pungent
Option 1: Boggle : Wonder
Option 2: Digitise : Digress
Option 3: Cider : Cine
Option 4: Cite : Cirrus
Correct Answer: Boggle : Wonder
Solution : Given: Bitter : Pungent (Bitter and Pungent are synonyms where the meaning of bitter is having a sharp pungent taste or smell.)
First option: Boggle : Wonder; Boggle and wonder are synonyms where wonder refers to a feeling of amazement or admiration. Second
Question : If $(a+b+c) \neq 0$, then $(a+b+c)\left(a^2+b^2+c^2-a b-b c-c a\right)$ is equal to:
Option 1: $a^3+b^3-c^3-3abc$
Option 2: $a^3-b^3+c^3-3abc$
Option 3: $a^3+b^3+c^3-3abc$
Option 4: $a^3+b^3+c^3+3abc$
Correct Answer: $a^3+b^3+c^3-3abc$
Solution : Given: $(a+b+c)\left(a^2+b^2+c^2-ab-bc-ca\right)$ Simplifying this expression, we have: $(a^3+ab^2+ac^2–a^2b–abc–ca^2+a^2b+b^3+bc^2–ab^2–b^2c–abc+a^2c+b^2c+c^3–abc–bc^2–c^2a)$ = $(a^3+b^3+c^3–3abc)$ Hence, the correct answer is $(a^3+b^3+c^3–3abc)$.
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 sets. (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.) (8, 6, 50) (24, 4, 98)
Option 1: (2, 48, 100)
Option 2: (12, 8, 100)
Option 3: (32, 3, 144)
Option 4: (18, 6, 110)
Correct Answer: (18, 6, 110)
Solution : Given: (8, 6, 50); (24, 4, 98)
Here, (8, 6, 50)→(8 × 6) + 2 = 48 + 2 = 50 (24, 4, 98)→(24 × 4) + 2 = 96 + 2 = 98
Let's check the options – First option: (2, 48,
Question : Directions: The sequence of folding a piece of paper and how the folded paper has been cut is shown in the following figures. How would this paper look when unfolded?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : When the given folded paper is unfolded, it will look like –
Hence, the second option is correct.
Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at MN as shown below.
Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection. Here, according to the information provided, the mirror is placed on the right side of the figure (on line MN). So, the left side of the reflected image will appear
Question : Directions: If A stands for ÷, B stands for ×, C stands for + and D stands for –, what will come in place of the question mark (?) in the following equation? 13 C 27 A 3 B 8 D 12 = ?
Option 1: 71
Option 2: 64
Option 3: 73
Option 4: 69
Correct Answer: 73
Solution : Given: A stands for ÷, B stands for ×, C stands for + and D stands for – 13 C 27 A 3 B 8 D 12 = ?
After replacing the letters with mathematical symbols, the equation is as follows – = 13 +
Question : Select the most appropriate idiom for the underlined segment in the sentence given below.
Richa was provoking her neighbours against her maid Shanta who spoke against her but none of them responded.
Option 1: Smelling a rat
Option 2: Egging on
Option 3: Carrying the conviction
Option 4: Rising like a phoenix
Correct Answer: Egging on
Solution : The correct choice is the second option.
Egging on means to strongly encourage someone to do something that might not be a very good idea. In the sentence, Richa was encouraging her neighbours against her maid, which means she was egging on.
Question : "Life Divine" is a book written by
Option 1: M.K. Gandhi
Option 2: Rabindranath Tagore
Option 3: Sarvepalli Radhakrishnan
Option 4: Shri Aurobindo
Correct Answer: Shri Aurobindo
Solution : The correct answer is Shri Aurobindo.
Life Divine is a book by Sri Aurobindo. He provides a theory of spiritual progression in it, which is his main philosophical work. Sri Aurobindo was a poet, yogi, philosopher, and patriot of India. He passed away in
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. KKMLLNMMONNPOOQP??
Option 1: PQ
Option 2: ST
Option 3: QV
Option 4: PR
Correct Answer: PR
Solution : Given: KKMLLNMMONNPOOQP??
Here, every alternate letter is being repeated in sequential order – KKMLLNMMONNPOOQPP? K + 1 = L; L + 1 = M; M + 1 = N; N + 1 =
Question : Water has maximum density at
Option 1: 100oC
Option 2: 0oC
Option 3: 4oC
Option 4: 273oC
Correct Answer: 4oC
Solution : The correct answer is 4oC.
At 4oC, water has the highest density. It is because as water cools, its molecules grow closer together. However, water molecules start to form hydrogen bonds with one another when the temperature reaches 4
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