Staff Selection Commission Combined Graduate Level Exam
Question : A man is walking at a speed of 14 km/h. After every km, he takes a rest for 7 minutes. How much time will he take to cover a distance of 7 km?
Option 1: $1 \frac{1}{5}$ hours
Option 2: $2 \frac{1}{3}$ hours
Option 3: $1 \frac{1}{3}$ hours
Option 4: $\frac{1}{5}$ hours
Correct Answer: $1 \frac{1}{5}$ hours
Solution : Given: A man is walking at a speed of 14 km/h. We know, time = $\frac{\text{Distance}}{\text{Speed}}$ So, the time taken to cover 7 km without rest = $\frac{7}{14}$ hrs = 30 minutes After every km, he takes a rest for 7 minutes. He
Question : Which among the following is a form of folk theatre belonging to Gujarat?
Option 1: Jatra
Option 2: Raas
Option 3: Tamasha
Option 4: Bhavai
Correct Answer: Bhavai
Solution : The correct option is Bhavai.
Bhavai, also referred to as Vesha or Swang, is a popular Gujarati folk theatre form. Bhavai may have its origins in the Sanskrit term Bhava, which means "expression" or "emotion". It is usually performed during festivals, marriages, Navratri, etc.
Question : A team of eight people joins a shooting competition. The best marksman scored 85 points. If he had scored 92 points, the average score for the team would have been 84. The number of points the team scored was:
Option 1: 672
Option 2: 665
Option 3: 645
Option 4: 588
Correct Answer: 665
Solution : Let the number of points the team scored be $x$. According to the question, $\frac{x+92-85}{8} = 84$ $⇒x + 7 = 672$ $\therefore x = 665$ Hence, the correct answer is 665.
Question : If $(a + b + c) = 13$ and $(ab + bc + ca) = 54$, find the value of $\left(a^2+b^2+c^2\right)$.
Option 1: 63
Option 2: 65
Option 3: 61
Option 4: 59
Correct Answer: 61
Solution : $(a + b + c) = 13$ Squaring both sides, $(a^2+b^2+c^2)+2(ab + bc + ca)=169$ ⇒$(a^2+b^2+c^2)+108=169$ ⇒ $(a^2+b^2+c^2)=61$ Hence, the correct answer is 61.
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.
The fugitive was finally stopped at the airport.
(1) compromised
(2) comprehended
(3) apprehended
(4) No Improvement
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 3
Solution : The third option is the correct choice.
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."
When you have gone through the papers (1) / kindly return them (2) / to us. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (4)
Solution : The correct choice is the fourth option.
The sentence is error-free and conveys the intended meaning. It is grammatically correct following the subject-verb agreement and is based on the format of the conditional.
So, the sentence is, "When you have gone through the papers, kindly
Question : The sum of the three numbers is 280. If the ratio between the first and second numbers is 2 : 3 and the ratio between the second and third numbers is 4 : 5, then find the second number.
Option 1: 80
Option 2: 90
Option 3: 86
Option 4: 96
Correct Answer: 96
Solution : Given: The sum of the three numbers is 280. The ratio between the first and second numbers is 2 : 3 and the ratio between the second and third numbers is 4 : 5. Let the three numbers be P, Q, and R. According to
Question : Select the correct active form of the given sentence. He was hit in the eye by an arrow.
Option 1: An arrow has hit him in the eye.
Option 2: An arrow hit him in the eye.
Option 3: An arrow will hit him in the eye.
Option 4: An arrow was hitting him in the eye.
Correct Answer: An arrow hit him in the eye.
Solution : The second 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
Question : A man's annual income has increased by Rs. 5 lakh, but the tax on income that he has to pay has reduced from 12% to 10%. He now pays Rs. 10,000 more income tax. What is his increased income (in Rs. lakhs)?
Option 1: 20
Option 2: 25
Option 3: 15
Option 4: 10
Correct Answer: 25
Solution : Let the previous income of man be Rs. $x$. Man's new income after increment = Rs. $(x + 500000)$ According to the given condition, ⇒ $(x+500000)×\frac{10}{100}-x×\frac{12}{100}=10000$ ⇒ $\frac{10x}{100}+50000-\frac{12x}{100}=10000$ ⇒ $\frac{2x}{100}$ = 50000–10000 ⇒ $x=\frac{4000000}{2}$ ⇒ $x$ = Rs. 20,00,000 His increased income = 20,00,000 +
Question : Evaluate the expression: $\frac{\sin ^2 63^{\circ}+\sin ^2 27^{\circ}}{\cos ^2 17^{\circ}+\cos ^2 73^{\circ}}$
Option 1: 0
Option 2: 3
Option 3: 1
Option 4: 2
Correct Answer: 1
Solution : $\frac{\sin ^2 63^{\circ}+\sin ^2 27^{\circ}}{\cos ^2 17^{\circ}+\cos ^2 73^{\circ}}$ = $\frac{\sin ^2 63^{\circ}+\sin ^2 (90^{\circ}-63^{\circ})}{\cos ^2 17^{\circ}+\cos ^2 (90^{\circ}-17^{\circ})}$ = $\frac{\sin ^2 63^{\circ}+\cos ^2 63^{\circ}}{\cos ^2 17^{\circ}+\sin ^2 17^{\circ}}$ = $\frac{1}{1}$ = 1 Hence, the correct answer is 1.
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