Staff Selection Commission Combined Graduate Level Exam
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following set. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits.) (13, 39, 6) (9, 18, 4)
Option 1: (12, 48, 8)
Option 2: (12, 50, 13)
Option 3: (15, 45, 3)
Option 4: (20, 28, 8)
Correct Answer: (12, 48, 8)
Solution : Given: (13, 39, 6); (9, 18, 4)
Here, (13, 39, 6)→(6 ÷ 2) × 13 = 3 × 13 = 39 (9, 18, 4)→(4 ÷ 2) × 9 = 2 × 9 = 18
Let's check the options – First option: (12, 48,
Question : Observe the given figure. The distance between the two centres AB is:
Option 1: 10 cm
Option 2: 11 cm
Option 3: 13 cm
Option 4: 12 cm
Correct Answer: 13 cm
Solution : Construction: Draw a perpendicular from $A$ to $E$. Since OC and OD are tangents, $\angle ACD$ = $\angle BDC = 90^\circ$ $AEDC$ forms a rectangle. Applying Pythagoras theorem in $\triangle AEB$, $AB^2 = AE^2+EB^2$ ⇒ $AB^2 = CD^2+(BD-DE)^2$ ⇒ $AB = \sqrt{(8-3)^2+12^2}$ ⇒ $AB=\sqrt{25+144}$
Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at MN as shown below.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection. 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 as
Question : Select the option that will improve the underlined part of the given sentence. In case no improvement is needed, select 'No improvement required'.
It is I who am responsible for the success of the organisation.
Option 1: No improvement required
Option 2: It is me who am
Option 3: It is I which is
Option 4: It is me that is
Correct Answer: No improvement required
Solution : The correct choice is the first option.
Explanation: The sentence is grammatically and structurally correct. The pronoun "I" agrees with the verb "am" hence, making the sentence correct.
Question : Select the most appropriate option to improve the underlined segment in the given sentence. If there is no need to improve it, select ‘no improvement required’. We have heard that some statues have stolen with this ancient temple.
Option 1: having been stolen from
Option 2: have been stolen from
Option 3: No improvement required
Option 4: Have been stolen with
Correct Answer: have been stolen from
Solution : The second option is correct.
Replace "have stolen with" with "have been stolen from" to make the sentence correct. The given sentence is formed in the passive voice structure of the present perfect tense and describes an action that has started in
Question : Which of the following is the correct match of column A with column B?
Option 1: i-c, ii-d, iii-b, iv-a
Option 2: i-c, ii-a, iii-b, iv-d
Option 3: i-d, ii-c, iii-b, iv-a
Option 4: i-c, ii-d, iii-a, iv-b
Correct Answer: i-c, ii-d, iii-b, iv-a
Solution : The correct option is i-c, ii-d, iii-b, iv-a.
The Ampere (A) is the unit of electric current. The passage of one Coulomb of charge through a conductor per second is known as one ampere. The Volt (V) is the unit of voltage.
Question : Parts of the following sentence have been given as options. Select the option that contains a grammatical error. She is quiet a generous woman / to have donated / such a large amount / for the flood affected people.
Option 1: to have donated
Option 2: for the flood affected people
Option 3: such a large amount
Option 4: She is quiet a generous woman
Correct Answer: She is quiet a generous woman
Solution : The correct choice is the fourth option.
The error is in the word quiet, which should be quite. The word "quite" is an adverb that means to a considerable extent or degree. In this context, it is
Question : Pipes A and B running together can fill a cistern in 6 minutes. If B takes 5 minutes more than A to fill the cistern, then what will be the respective time in which A and B will fill the cistern separately?
Option 1: 15 min and 10 min
Option 2: 15 min and 20 min
Option 3: 25 min and 20 min
Option 4: 10 min and 15 min
Correct Answer: 10 min and 15 min
Solution : Let the time taken by A to fill the cistern be $x$ minutes. So, the time taken by B to fill the cistern is $x+5$ minutes. Time taken by A and B to fill the cistern = 6 minutes Part of
Question : The value of $x^2+y^2$, when $x = 1, y = 2$ is:
Option 1: 5
Option 2: 4
Option 3: 2
Option 4: 1
Correct Answer: 5
Solution : Given: $x = 1, y = 2$ $\therefore x^2+y^2=1^{2} + 2^{2} = 5$ Hence, the correct answer is 5.
Question : Directions: In the following question, some parts of the sentences have errors and some are correct. Find out which part of a sentence has an error. The number of that part is the answer. If a sentence is free from error, your answer is "No Error".
I must find out (1) / some means to balance (2) / my budget. (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.
The phrase some means should be replaced with some other means to convey the intended meaning that the speaker must find a way to balance his budget.
The term "some other means" specifies that
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