Staff Selection Commission Combined Graduate Level Exam
Question : If $2p + q = 19$ and $8p^3+q^3=361$, then find the value of $pq$.
Option 1: 56
Option 2: 59
Option 3: 58
Option 4: 57
Correct Answer: 57
Solution : Given, $2\text{p} + \text{q} = 19$ and $\text{8p}^3 + \text{q}^3 = 361$ We have to find the value of pq Consider $2\text{p} + \text{q} = 19$ Cubing both sides, ⇒ $\text{(2p+q)}^3 = \text{19}^3$ ⇒ $(\text{2p})^3 + \text{q}^3 + \text{3(2p)(q)(2p+q)} = 6859$ ⇒ $\text{8p}^3 + \text{q}^3
Question : Directions: Sunita travels 6 km towards the northeast. Then travels 9 km towards the west. From there, she goes 6 km southwest and finally goes 3 km east. How far is she from her initial position?
Option 1: 3 km
Option 2: 6 km
Option 3: 9 km
Option 4: 12 km
Correct Answer: 6 km
Solution : Firstly, we will draw the diagram as per the given instructions – Now, we have to find the distance between starting and endpoints.
In the given figure, A is the starting point and E is the finishing point. So, AE is the distance from
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 waited for you (1) / but you never (2) / turned up. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (4)
Solution : The sentence follows a proper subject-verb agreement and tense consistency. There are no grammatical errors in the sentence structure. Therefore, it is correctly written, and no correction is needed.
So, the correct sentence is, "I waited for you, but you never turned up."
Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".
I was convinced that the only thing I wanted to do ever, is to write novels.
(1) I was convinced that
(2) No Error
(3) the only thing I wanted to do
(4) ever, is to write novels.
Solution : The error lies in the fourth option.
When reporting something in the past, the verb following it should also be in the past tense. So, ever is to write novels should be replaced with ever was to write novels to match the past tense in
Question : Directions: In a certain code language, CHORUS is coded as UVTPJD, and ANTHEM is coded as OFJUPB. How will VOLUME be coded in the same language?
Option 1: GNXMPW
Option 2: GNWNPW
Option 3: HMWNPV
Option 4: GNWMQW
Correct Answer: GNWMQW
Solution : Given: CHORUS is coded as UVTPJD and ANTHEM is coded as OFJUPB
Add 1 and 2 alternatively to the place value of the letters and the word formed is written in the reverse order to obtain the required code. CHORUS→C + 1 = D; H
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2), and (3) that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
Heartfelt prayers to God will always have expected results.
(1) have amazing results.
(2) have desired results
(3) have good results
(4) No Improvement
Correct Answer: (2)
Solution : The sentence can be improved using the second option.
This option is the correct choice because it provides a clear and appropriate way to convey that heartfelt prayers to God will yield the results one hopes for or desires. "Desired results" is a suitable
Question : Given below are four sentences in jumbled order. Pick the option that gives their correct order.
A. It involves making sound and sometimes difficult decisions. B. Having the quality of courage means that one is willing to take risks for the achievement of goals. C. Leadership is the ability of an individual to influence and guide followers. D. One of the most important qualities of a good leader is courage.
Option 1: ABCD
Option 2: DCBA
Option 3: BDAC
Option 4: CADB
Correct Answer: CADB
Solution : The fourth option is the correct choice.
The sequence begins with sentence C, introducing the concept that leadership involves the ability to influence and guide followers. Sentence A follows, stating that it involves making sound and sometimes difficult decisions. Sentence D then adds that one
Question : Select the most appropriate homonym of the underlined word to fill in the blank.
He was complimented for his appearance. His shirt _____ his trousers perfectly.
Option 1: competed
Option 2: complement
Option 3: commented
Option 4: complemented
Correct Answer: complemented
Solution : The most appropriate choice is the fourth option.
The word complemented means when one thing enhances or goes well with another. In the context of the sentence, the word complement is the best choice because it means that his shirt goes well with or enhances
Question : Directions: Select the word pair that best represents a similar relationship to the one expressed in the given pair of words. (The words must be considered meaningful English words and must not be related to each other based on the number of letters/number of consonants/vowels in the word) Length : Metre
Option 1: Electric current : Ampere
Option 2: Mass : Heavy
Option 3: Temperature : Hot
Option 4: Volume : Light
Correct Answer: Electric current : Ampere
Solution : Given: Length : Metre (Metre is a measuring unit of Length.)
Let's check the options – First option: Electric current : Ampere; Ampere is a measuring unit of Electric current. Second option: Mass : Heavy; Heavy is not a measuring unit of
Question : Directions: From the given alternative words, select the word which cannot be formed using the letters of the given word. COMMENTATOR
Option 1: MART
Option 2: COMMON
Option 3: MOMENT
Option 4: CONTRACT
Correct Answer: CONTRACT
Solution : Given: COMMENTATOR
Now, let's compare all the option words with the word COMMENTATOR – First option: MART; All the letters of the word MART are present in the word COMMENTATOR. Second option: COMMON; All the letters of the word COMMON are present in the word
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