Staff Selection Commission Combined Graduate Level Exam
Question : Directions: In the following question, find the odd letter cluster from the given alternatives.
Option 1: BDF
Option 2: NQS
Option 3: TVX
Option 4: HJL
Correct Answer: NQS
Solution : Let's check the options – First option: BDF; B + 2 = D; D + 2 = F Second option: NQS; N + 3 = Q; Q + 2 = S Third option: TVX; T + 2 = V; V + 2 = X Fourth
Question : Which of the following statements is correct? I. The value of $100^2-99^2+98^2-97^2+96^2-95^2+94^2$ $- 93^2+\ldots \ldots+22^2-21^2$ is 4840. II. The value of $\left(\mathrm{k}^2+\frac{1}{\mathrm{k}^2}\right)\left(\mathrm{k}-\frac{1}{\mathrm{k}}\right)\left(\mathrm{k}^4+\frac{1}{\mathrm{k}^4}\right)\left(\mathrm{k}+\frac{1}{\mathrm{k}}\right)\left(\mathrm{k}^4-\frac{1}{\mathrm{k}^4}\right) \text { is } \mathrm{k}^{16}-\frac{1}{\mathrm{k}^{16}}$.
Option 1: Neither I nor II
Option 2: Both I and II
Option 3: Only II
Option 4: Only I
Correct Answer: Only I
Solution : Statement I: The value of $100^2-99^2+98^2-97^2+96^2-95^2+94^2$ $-93^2+\ldots \ldots+22^2-21^2$ is 4840. Let us solve the series: $100^2-99^2+98^2-97^2+96^2-95^2+94^2$ $-93^2+\ldots \ldots+22^2-21^2$ $= (100+99)(100-99) + (98+97)(98-97) + .... + (22+21)(22-21)$$= 100 + 99 + 98 + 97 +.....+21$---------------(1) $=$ Sum of first 100 natural numbers - Sum of
Question : The average number of runs scored by a cricketer in his 99 innings is 99. How many runs will he have to score in his 100th inning so that his average of runs in 100 innings may be 100?
Option 1: 100
Option 2: 99
Option 3: 199
Option 4: 101
Correct Answer: 199
Solution : Given: Average runs are 99, total innings is 99 and new average is 100. According to the question, Let $x$ be the score in the 100th inning. The total runs scored in 99 innings = 99 × 99 Total runs scored in 100 innings
Question : Directions: A migrating bird flies 40 km north, then turns east and flies 50 km, then turns north and flies 110 km, and turns to its left and flies 50 km. Where is it now with reference to its starting position?
Option 1: 150 km south
Option 2: 150 km north
Option 3: 70 km north
Option 4: 70 km south
Correct Answer: 150 km north
Solution : As per the given information, the movement of the bird will look as follows –
The distance between the migrating bird's starting point and end point = 40 + 110 = 150 km
The distance between the migrating bird's starting and end points
Question : Direction: In each of the following questions, arrange the following words as per order in the dictionary.
1. Consume
2. Consciousness
3. Conscience
4. Conservation
5. Consequence
Option 1: 3, 2, 5, 4, 1
Option 2: 3, 1, 2, 5, 4
Option 3: 3, 5, 2, 4, 1
Option 4: 3, 2, 1, 5, 4
Correct Answer: 3, 2, 5, 4, 1
Solution : Given:
Start from Conscience because e comes before o
Conscience
Now, write Consciousness because c comes before e
Consciousness
Now, write Consequence because q comes before
Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error. You must / be hurry, / otherwise you will / miss the train.
Option 1: miss the train.
Option 2: be hurry,
Option 3: You must
Option 4: otherwise you will
Correct Answer: be hurry,
Solution : The error lies in the second option.
Explanation: Be hurry is not the correct collocation in English. In this context, must hurry serves as a directive phrase, indicating a strong recommendation or requirement to move quickly. It's a common way to express urgency or
Question : Directions: A sentence or a part of the sentence is printed in bold. Below are alternatives to the bold part that may improve the sentence. Choose the correct alternative. In case no improvement is needed, choose "No Improvement".
As soon after the player arrived in decorated cars, the ceremony began with traditional African drummers and dancers blowing conch shells.
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 2
Solution : The correct choice is the second option.
It is an error of conjunction. In this sentence, As soon after the player arrived should be replaced with soon after the players arrived. This alternative provides the correct past tense form (arrived) and maintains the clarity
Question : Select the correct active form of the given sentence. You might be promoted this year.
Option 1: They should have promoted you this year.
Option 2: They will promote you this year.
Option 3: They might promote you this year.
Option 4: You may promote them this year.
Correct Answer: They might promote you this year.
Solution : The third option is the correct choice.
Active voice emphasises the doer of the action, while passive voice emphasises the receiver. To convert passive to active, we make the subject perform the action and rephrase the verb.
The structure of
Question : Directions: Which letter cluster will replace the question mark (?) to complete the given series? CLPM, FNQN, ?, LRSP, OTTQ
Option 1: IPRO
Option 2: JPRO
Option 3: IPSO
Option 4: IQRO
Correct Answer: IPRO
Solution : Given: CLPM, FNQN, ?, LRSP, OTTQ
Add 3 to the positional value of the first letter, 2 to the positional value of the second letter, and 1 to the positional values of both the third and the fourth letters of each cluster to get the
Question : The length of the diagonal of a rectangle with sides 4 m and 3 m would be:
Option 1: 12 m
Option 2: 7 m
Option 3: 5 m
Option 4: 14 m
Correct Answer: 5 m
Solution : Given: The sides of the rectangle are 4 m and 3 m. $\text{Diagonal} = \sqrt{\text{Length}^2+\text{Breadth}^2}$ $=\sqrt{4^2+3^2}$ $=\sqrt{16+9}$ $=\sqrt{25}$ $=5$ m Hence the correct answer is 5 m.
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