Staff Selection Commission Combined Graduate Level Exam
Question : There is a 40% increase in an amount in 8 years at simple interest. What will be the compound interest on Rs. 10,000 after 3 years at the same rate?
Option 1: Rs. 1,576.25
Option 2: Rs. 6,305
Option 3: Rs. 7,881.25
Option 4: Rs. 4,728.75
Correct Answer: Rs. 1,576.25
Solution : Given: There is a 40% increase in the amount in 8 years at simple interest (SI) Principal ($P$) = Rs. 10000 Time ($T$) = 3 years Let the rate of interest be $R$% per annum. Formula Used: SI = $\frac{PRT}{100}$ Compound interest (CI) =
Question : Select the option that will improve the underlined part of the sentence. In case no improvement is needed, select 'No Improvement'.
The little boy did many mischiefs in school.
Option 1: performed many mischiefs
Option 2: made much mischief
Option 3: No Improvement
Option 4: did much mischiefs
Correct Answer: made much mischief
Solution : The second option is correct.
Question : DNA fingerprinting is used to identify the
Option 1: Parents
Option 2: Rapist
Option 3: Thieves
Option 4: All the above
Correct Answer: All the above
Solution : The correct answer is All the above
DNA fingerprinting is a laboratory method for determining a person's likely identification based on the nucleotide sequences of certain sections of human DNA that are unique to people. It is also useful in determining an individual's
Question : The marked price of a ceiling fan is INR 4,200 and the shopkeeper allows a discount of 5% on it. If his profit is 14%, then the cost price of the fan is:
Option 1: INR 3,200
Option 2: INR 3,800
Option 3: INR 3,000
Option 4: INR 3,500
Correct Answer: INR 3,500
Solution : Given: The marked price of a ceiling fan = INR 4,200 And profit = 14% of Cost price Also, discount = 5% of Marked price So, Selling rice = $\frac{(100-5)}{100}×4200$ $\therefore$ Selling price = INR 3990 Since profit = 14% of Cost price, Selling
Question : The following pie chart represents the percentage distribution of girls in five colleges, A, B, C, D, and E. The total number of girls in all five colleges is 2,500.
What is the average number of girls in colleges C and E?
Option 1: 500
Option 2: 650
Option 3: 700
Option 4: 575
Correct Answer: 575
Solution : Total number of girls in all the colleges = 2500 Number of girls in college C = $\frac{20}{100} \times 2500$ = 500 Number of girls in college E = $\frac{26}{100} \times 2500$ = 650 The average number of girls in colleges C and E $=\frac{500
Question : Comprehension:
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
The massive ransomware attack that has crippled the e-hospital services of AIIMS, Delhi, highlights the (1)______ vulnerability of the country's healthcare infrastructure, and possibly other critical IT systems, to cyber criminals. The premier public healthcare institute (2)______ to around 15 lakh outpatients and 80,000 inpatients every year. Consequently, there are fears that the attackers could sell the now force-encrypted AIIMS databases that contain (3)______ information of patients-including political leaders, senior administrators, and judges, and their healthcare records on the Dark Web. Of course, what has happened to AlIMS is hardly a local phenomenon. A (4)_____ increase in cyberattacks on healthcare institutes worldwide (5)_____ during the Covid pandemic. The Indian healthcare sector was the second-most targeted globally. It is clear that Indian hospitals are vulnerable to cybersecurity. Government and hospitals need to use best practices to ward off future crises.
Question:
Select the most appropriate option to fill in the blank 1.
Option 1: increasing
Option 2: strengthening
Option 3: shining
Option 4: developing
Correct Answer: increasing
Solution : The most appropriate choice is the first option.
The passage highlights the vulnerability of the country's healthcare infrastructure to cybercriminals, particularly in the context of a massive ransomware attack. The word increasing fits well because it suggests a growing or escalating problem, which is the
Question : Directions: In the following question, the sentence given with a blank is to be filled in with an appropriate word. Select the correct alternative out of the four.
The village is _________ shaffield (in England). Its only six miles away.
Option 1: By
Option 2: Near
Option 3: Before
Option 4: Along
Correct Answer: Near
Solution : To complete the sentence correctly, we need a word that conveys that the village is not far from Sheffield. The word "near" is appropriate here. It means in close proximity to or not far from.
So, the correct sentence is: "The village is near Sheffield
Question : If $x+\frac{1}{x}=6$, then find the value of $\frac{3 x}{2 x^2-5 x+2}$.
Option 1: $1$
Option 2: $\frac{3}{7}$
Option 3: $\frac{2}{3}$
Option 4: $0$
Correct Answer: $\frac{3}{7}$
Solution : Given, $x+\frac{1}{x}=6$ $\frac{3 x}{2 x^2-5 x+2} $ Taking $x$ common from the denominator, $= \frac{3x}{x(2x-5+\frac{2}{x})}$ $=\frac{3}{2x+\frac{2}{x} - 5}$ ------------(1) Here, $2x + \frac{2}{x} = 2(x+\frac{1}{x}) = 2\times 6$ ⇒ $2(x+\frac{1}{x}) = 12$ Putting this value in (1), we get, $\frac{3}{12-5} = \frac{3}{7}$ Hence, the correct
Question : In the battle of Panipat, Babur faced the armies of
Option 1: Jaichand
Option 2: Hemu
Option 3: Daulat Khan
Option 4: Ibrahim Lodi
Correct Answer: Ibrahim Lodi
Solution : The correct option is Ibrahim Lodi.
On 21st April 1526, the Lodi Empire and Babur's invasion armies engaged in the First Battle of Panipat in North India. The rule of the Mughal Empire in India began after this battle. It was one of the
Question : If $x^2-15 x+1=0$, what is the value of $x^4-223 x^2+6 ?$
Option 1: 9
Option 2: 5
Option 3: 6
Option 4: 0
Correct Answer: 5
Solution : $x^2-15 x+1=0$ $⇒x^2+1=15 x$ $⇒(x^2+1)^{2}= (15x)^{2}$ $⇒x^4+2x^2+1= 225x^2$ $⇒x^4-223x^2 = –1$ Adding 6 on both sides, we get, So, $x^4-223 x^2+6 = –1+6 = 5$ Hence, the correct answer is 5.
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