Staff Selection Commission Combined Graduate Level Exam
Question : If successive discounts of 5%, 10%, and p% are equivalent to a single discount of 31.6%, the value of p is:
Option 1: 15
Option 2: 25
Option 3: 20
Option 4: 30
Correct Answer: 20
Solution : Single equivalent discount = $(a+b–\frac{a×b}{100})\%$, where $a$% and $b$% are two successive discounts. Single discount of 5% and 10% $= 5 + 10 - \frac{(50)}{100}=14.5$ Now, single discount of 14.5% and $p$% $= 14.5 + p - \frac{(14.5p)}{100}$ According to the question, $14.5 + p
Question : Who among the following is the first Indian to swim across English Channel ?
Option 1: Aarti-Saha
Option 2: Mihir Sen
Option 3: P. K. Bannerji
Option 4: Vikram Merchant
Correct Answer: Mihir Sen
Solution : The correct answer is Mihir Sen
Mihir Sen (16 November 1930 – 11 June 1997)best known for being the first Indian to conquer the English Channel from Dover to Calais in 1958 , and did so in the fourth fastest time (14 hrs &
Question : Directions: Arrange the following words as per their order in the dictionary. 1. Exploit 2. Explosive 3. Exponent 4. Exposition 5. Explore
Option 1: 1, 3, 4, 5, 2
Option 2: 1, 5, 2, 3, 4
Option 3: 1, 5, 3, 2, 4
Option 4: 1, 2, 5, 3, 4
Correct Answer: 1, 5, 2, 3, 4
Solution : Given: 1. Exploit 2. Explosive 3. Exponent 4. Exposition 5. Explore
Step 1: Since all the words start with the same letter E, so move on to the next letter. Step 2: The second and third letters of each word
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
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