Staff Selection Commission Combined Higher Secondary Level Exam
Question : Three men can complete a piece of work in 6 days. Two days after they started the work, 3 more men joined them. How many days will it take to complete the remaining work?
Option 1: 1 day
Option 2: 2 days
Option 3: 3 days
Option 4: 4 days
Correct Answer: 2 days
Solution : Given: Three men can complete a piece of work in 6 days. Part of work done in 2 day = $\frac{1}{6}×2=\frac{1}{3}$ Remaining work = $1-\frac{1}{3}=\frac{2}{3}$ We know that: $\frac{M_1 ×D_1}{W_1}=\frac{M_2 ×D_2}{W_2}$ Where $M_1$ and $M_2$ are the numbers of men, and $D_1$ and $D_2$
Question : Directions: In the following question, some parts of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No Error".
Go up the beach and watch for tourists (1) / so you could warn anyone (2) / before they get to the water. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The correct choice is the second option.
"Could" should be replaced with "can" to convey the intended meaning." Can" is used instead of "could" to maintain the correct verb tense of the sentence, which is the simple present tense.
Therefore, the correct sentence is: "Go
Question : What is the least value of $x$ for which the number $712x816$ is divisible by 12?
Option 1: 41
Option 2: 1
Option 3: 0
Option 4: 2
Correct Answer: 2
Solution : $712x816$ will be divisible by 12 if the number is divisible by both 3 and 4. Divisibility law for 4: When the last two digits of a number are divisible by 4. Here 16 is divisible by 4. Divisibility law for 3: If the sum
Question : The simple interest on a sum for 8 years is Rs. 47500. The rate of interest for the first 5 years is 10% per annum and for the next 3 years, 15% per annum. What is the value (in Rs.) of the sum?
Option 1: 50000
Option 2: 60000
Option 3: 45000
Option 4: 62500
Correct Answer: 50000
Solution : Given: The simple interest on a sum for 8 years is Rs. 47500. Simple interest=$\frac{P\times R\times T}{100}$, where $P$ = Principal, $R$ = Rate of Interest, $T$ = time in years. According to the question, $47500=\frac{P\times 10 \times 5}{100}+ \frac{P \times 15 \times 3}{100}$ ⇒
Question : According to the Census of India 2011, what is the percentage of India's population that lives in urban areas?
Option 1: 25.7%
Option 2: 49.71%
Option 3: 41.72%
Option 4: 31.16%
Correct Answer: 31.16%
Solution : The correct option is 31.16%.
Based on data from the Census, 377.11 million, or 31.16%, of the 1,210.19 million people who called the nation home in 2011 are urban dwellers. As per the 2011 Census of India, 31.16% of India's population resides in metropolitan
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence.
She makes sure that all the newly realised books are available in her personal library.
Option 1: the newly released books
Option 2: the newly regaled books
Option 3: the newly relieved books
Option 4: the newly reverberated books
Correct Answer: the newly released books
Solution : The correct choice is the first option.
Explanation:
Question : Directions: Which of the following diagrams represents the relationship between Food Supplement, Bournvita, and Horlicks?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Both Horlicks and Bournvita are Food supplements. So, the circles representing Bournvita and Horlicks will lie inside the circle representing Food supplement. But, Bournvita and Horlicks are not related to each other. So, their circles will be drawn separately. So, the Venn diagram is –
Hence,
Question : Given that $x$ varies directly as $y$ and $x=45$ when $y=9$. What is the value of $x$ when $y=50$?
Option 1: 225
Option 2: 190
Option 3: 175
Option 4: 250
Correct Answer: 250
Solution : Since $x$ varies directly as $y$. Such that $x = ky$, where $k$ is the constant of variation. Given that $x = 45$ when $y = 9$, $45 = k × 9$ $k = \frac{45}{9} = 5$ The value of $x$ when $y = 50$,
Question : The perimeter of a triangle is 54 m and its sides are in the ratio of 5 : 6 : 7. The area of the triangle is:
Option 1: $18\ \text{m}^2$
Option 2: $54\sqrt6\ \text{m}^2$
Option 3: $27\sqrt2\ \text{m}^2$
Option 4: $25\ \text{m}^2$
Correct Answer: $54\sqrt6\ \text{m}^2$
Solution : Given: The perimeter of a triangle is 54 m and its sides are in the ratio of 5 : 6 : 7. Let the sides be 5$x$, 6$x$, and 7$x$, respectively. According to the question, 5$x$ + 6$x$ + 7$x$ = 54 ⇒ 18$x$
Question : What is the value of $\frac{1+\sin ^2 45^{\circ}}{1-\cos ^2 45^{\circ}}$?
Option 1: $\frac{1}{2}$
Option 2: $3$
Option 3: $2$
Option 4: $\frac{3}{2}$
Correct Answer: $3$
Solution : $\frac{1+\sin ^2 45^{\circ}}{1-\cos ^2 45^{\circ}}$ = $\frac{1+\frac{1}{2}}{1-\frac{1}{2}}$ = $\frac{\frac{3}{2}}{\frac{1}{2}}$ = 3 Hence, the correct answer is $3$.
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