Staff Selection Commission Combined Graduate Level Exam
Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error. The historians / are a great / asset to the/ field of academia.
Option 1: field of academia
Option 2: are a great
Option 3: asset to the
Option 4: The historians
Correct Answer: The historians
Solution : The correct choice is the fourth option.
The error is in the use of the definite article "the" before "historians". In this context, the sentence is referring to historians in a general sense, so the definite article "the"
Question : Directions: In the following question below are given some statements followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows the given statements. Statements: All A is D. No D is E. Conclusions: I. No E is A. II. All D is A. III. All E is D.
Option 1: Only conclusion I follows
Option 2: Only conclusion III follows
Option 3: Only conclusion II follows
Option 4: None of the conclusions follow
Correct Answer: Only conclusion I follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion I: No E is A – From the Venn diagram, it is evident that all A is D and no D is E.
Question : Directions: By Interchanging the given two numbers which of the following equations will be not correct? 7 and 4
Option 1: 8 ÷ 6 × 9 + 7 – 4 = 12
Option 2: 7 × 8 + 4 – 6 ÷ 3 = 37
Option 3: 9 – 4 × 3 + 6 × 7 ÷ 1 = 12
Option 4: 4 × 8 – 9 ÷ 3 + 7 = 57
Correct Answer: 8 ÷ 6 × 9 + 7 – 4 = 12
Solution : Given: 7 and 4
Replace the given numbers in the options one by one with the original numbers in the given equation. First option: 8 ÷ 6 × 9 + 7 – 4 = 12
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold parts at (1), (2), and (3) that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
Will you tell me who did accompany you to the airport?
(1) when did accompany you
(2) who must be accompanied you
(3) who accompanied you
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The correct choice is the third option.
In this sentence, the word order and the use of did accompany are incorrect. When forming an interrogative sentence, we generally use the interrogative pronoun "who" followed by the simple past form of the verb i.e., accompanied.
Question : What is the value of: $5\frac{1}{2}+7\frac{1}{2}+11\frac{1}{2}?$
Option 1: $\frac{49}{2}$
Option 2: $\frac{25}{2}$
Option 3: $\frac{29}{2}$
Option 4: $\frac{27}{2}$
Correct Answer: $\frac{49}{2}$
Solution : Given: $5 \frac{1}{2} + 7 \frac{1}{2} + 11 \frac{1}{2}$ = $\frac{11}{2} + \frac{15}{2} + \frac{23}{2}$ = $\frac{11+15+23}{2}$ = $\frac{49}{2}$ Hence, the correct answer is $\frac{49}{2}$.
Question : Which of the following folk dance is associated with Jammu and Kashmir ?
Option 1: Jhora.
Option 2: Veedhi.
Option 3: Rauf.
Option 4: Suisini.
Correct Answer: Rauf.
Solution : The correct answer is Rauf.
Folk dances are the cultural and recreational expression of the culture of a region. Some folk dances of Jammu and Kashmir are Rauf, Bhand Panther etc. Rauf is performed during the festivals like Eid and Ramzan etc. Folk dances of
Question : Alloy A contains metals x and y only in the ratio 5 : 2, while alloy B contains them in the ratio 3 : 4. Alloy C is prepared by mixing alloys A and B in the ratio 4 : 5. The percentage of $x$ in alloy C is:
Option 1: $55 \frac{1}{9}\%$
Option 2: $55 \frac{2}{9}\%$
Option 3: $55 \frac{5}{9}\%$
Option 4: $55 \frac{4}{9}\%$
Correct Answer: $55 \frac{5}{9}\%$
Solution : The ratio of x and y in Alloy A is 5 : 2, which means the quantity of metal $x$ in Alloy A is $\frac{5}{7}$. The ratio of x and y in Alloy B is 3 : 4, which means the quantity of metal
Question : Directions: In the following question, find the odd number from the given alternatives.
Option 1: 253
Option 2: 473
Option 3: 143
Option 4: 633
Correct Answer: 633
Solution : Let's check the options – First option: 253; 253 ÷ 11 = 23 Second option: 473; 473 ÷ 11 = 43 Third option: 143; 143 ÷ 11 = 13 Fourth option: 633; 633 is not divisible by 11.
The fourth option does not follow the
Question : If $\frac{(3 \sin \theta-\cos \theta)}{(\cos \theta+\sin \theta)}=1$, then the value of $\cot \theta$ is:
Option 1: 3
Option 2: 0
Option 3: 1
Option 4: 2
Correct Answer: 1
Solution : $\frac{(3 \sin \theta-\cos \theta)}{(\cos \theta+\sin \theta)}=1$ Divide the numerator and denominator by $\sin \theta$. ${(3 -\cot \theta)}={(\cot \theta+ 1)}$ ⇒ $2\cot \theta = 2$ ⇒ $\cot \theta=1$ Hence, the correct answer is 1.
Question : The population of the city is 20,000. It increases by 20% during the first year and 30% during the second year. The population after two years will be:
Option 1: 32,000
Option 2: 40,000
Option 3: 31,200
Option 4: 30,000
Correct Answer: 31,200
Solution : Population after two years $= P(1+\frac{R_1}{100})(1+\frac{R_2}{100})$ where $P$ is the initial population, $R_1$ is the rate of increase in the first year and $R_2$ is the rate of increase in the second year. $= 20000(1+\frac{20}{100})(1+\frac{30}{100})$ $= 20000(\frac{120}{100})(\frac{130}{100})$ $= 31,200$ Hence, the correct answer is 31,200.
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