Staff Selection Commission Combined Graduate Level Exam
Question : The total surface area of a hemisphere is 41.58 sq. cm. Find its curved surface area.
Option 1: 27.72 sq. cm.
Option 2: 55.44 sq. cm.
Option 3: 9.24 sq. cm.
Option 4: 13.86 sq. cm.
Correct Answer: 27.72 sq. cm.
Solution : The curved surface area of a hemisphere = $2\pi r^2$ The total surface area of a hemisphere = $3\pi r^2$ ⇒ $41.58=3\pi r^2$ ⇒ $3\pi r^2×\frac{2}{3}=41.58×\frac{2}{3}$ $\therefore 2\pi r^2=27.72$ sq. cm. Hence, the correct answer is 27.72 sq. cm.
Question : A and B can do a piece of work in 18 days, B and C in 24 days and A and C in 36 days. Working together, they can do the work in:
Option 1: 12 days
Option 2: 13 days
Option 3: 16 days
Option 4: 26 days
Correct Answer: 16 days
Solution : One day work of (A + B) = $\frac{1}{18}$ One day work of (B + C) = $\frac{1}{24}$ One day work of (C + A) = $\frac{1}{36}$ Combined work = ($\frac{1}{A+B}+\frac{1}{B+C}+\frac{1}{C+A}$) = ($\frac{1}{18}+\frac{1}{24}+\frac{1}{36}$) ⇒ 2(A + B + C) = $\frac{4+3+2}{72}$ = $\frac{9}{72}$ =
Question : If $\Delta \mathrm{XYZ} \cong \Delta \mathrm{LMR}$, then $m+x+p=?$
Option 1: 7
Option 2: 6
Option 3: 9
Option 4: 13
Correct Answer: 9
Solution : Given: $\Delta \mathrm{XYZ} \cong \Delta \mathrm{LMR}$ $\Delta \mathrm{XYZ}$ and $\Delta \mathrm{LMR}$ are congruent triangles. We can say, $\mathrm{XY=LM}$ ⇒ $2m+1=5$ ⇒ $m=2$ $\mathrm{YZ=MR}$ ⇒ $2p+2=8$ ⇒ $p=3$ $\mathrm{ZX=RL}$ ⇒ $2x–1=7$ ⇒ $x=4$ So, $m+x+p=2+3+4$ ⇒ $m+x+p=9$ Hence, the correct answer is 9.
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. Social media can have (1)_______ effects on mental health, with studies suggesting that excessive use can lead to feelings of anxiety, depression, and loneliness. To combat these negative effects, experts recommend setting (2)______ for social media use. Other strategies include (3)________ with friends and family in person, engaging in hobbies or physical activity, and seeking professional (4)_________ if necessary. As such, it's important to be (5)________ of its potential drawbacks and take steps to use it in a healthy and balanced way.
Select the most appropriate option to fill in the blank no. 1.
Option 1: delirious
Option 2: desirous
Option 3: detrimental
Option 4: positive
Correct Answer: detrimental
Solution : The most appropriate choice is the third option.
It means harmful or damaging. It is the most appropriate choice because it accurately describes the negative effects of social media on mental health, such as anxiety, depression, and loneliness.
The meanings of the other options are
Question : The ratio between monthly income and expenditure of Vaidic is 8 : 5. If his income increases by 20% and his expenditure increases by 30%, then find the percentage increase or decrease in his monthly savings.
Option 1: $5 \frac{2}{3}$% increase
Option 2: $5 \frac{2}{3}$% decrease
Option 3: $3 \frac{1}{3}$% increase
Option 4: $3 \frac{1}{3}$% decrease
Correct Answer: $3 \frac{1}{3}$% increase
Solution : Let the income of Vaidic be 800 and expenditure be 500 Saving = income – expenditure = 800 – 500 = 300 When income is increased by 20% = 800 × $\frac{120}{100}$ = 960 When expenditure is increased by 30% = 500 ×
Question : 4 women or 6 boys can finish a work in the same number of days. A boy can finish it in 60 days. In how many days can 5 women finish the work, working together every day?
Option 1: 4
Option 2: 10
Option 3: 8
Option 4: 6
Correct Answer: 8
Solution : Given: 4 Women = 6 Boys The ratio of efficiency of Woman : Boy = 3 : 2 Let the efficiency of a Woman and a Boy be 3 units and 2 units Boys can complete work in = 60 days Then, total work =
Question : What annual installment will discharge a debt of Rs.9,600 due in 5 years at 10% simple interest?
Option 1: Rs. 1450
Option 2: Rs. 1550
Option 3: Rs. 1500
Option 4: Rs. 1600
Correct Answer: Rs. 1600
Solution : Assume the annual instalment as $x$. First-year ⇒ installment = 100% of $x$ Second year ⇒ installment = 110% of $x$ Third year ⇒ installment = 120% of $x$ Fourth year ⇒ installment = 130% of $x$ Fifth year ⇒ installment = 140% of
Question : Select the option that expresses the given sentence in passive voice.
She might have completed her research by that time.
Option 1: Her research might be completed by her by that time.
Option 2: Her research might had been completed by her by that time.
Option 3: Her research might have been completed by her by that time.
Option 4: Her research might have completed by her by that time.
Correct Answer: Her research might have been completed by her by that time.
Solution : The correct choice is the third option.
Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active sentence
Question : An office opens at 10 a.m. and closes at 5 p.m. The lunch interval is 30 minutes. The ratio of the lunch interval to the total period of office hours is:
Option 1: 1 : 7
Option 2: 1 : 14
Option 3: 7 : 1
Option 4: 14 : 1
Correct Answer: 1 : 14
Solution : The office opens at 10 a.m. and closes at 5 p.m. Total office hours = 7 hours = 420 minutes The lunch interval is 30 minutes. So, the required ratio = 30 : 420 = 1 : 14 Hence, the correct answer is
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".
I am not familiar with (1) / all the important places in this town (2) / although I had been living here for two years. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The error lies in the third part of the sentence.
The speaker is still living in the town. This means that the present perfect continuous tense must be used in the sentence. The present perfect continuous tense is used for actions that started in the
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