Staff Selection Commission Combined Graduate Level Exam
Question : Directions: If ♦ means subtraction, – means division, Ø means addition, and % means multiplication, then find the value of 13 Ø 3 ♦ 6 % 9 – 4 Ø 14 = ?
Option 1: 16.5
Option 2: 14
Option 3: 12
Option 4: 8
Correct Answer: 16.5
Solution : Given: 13 Ø 3 ♦ 6 % 9 – 4 Ø 14 = ?
After replacing the symbols with mathematical signs, the equation becomes – = 13 + 3 – 6 × 9 ÷ 4 + 14 = 13 + 3 – 6 × 2.25
Question : Directions: The bar graph given below represents the total population and male population (in thousands of units) of a city from 2013 to 2016.
In 2016, the male population is how much percent more than the female population.
Option 1: 25%
Option 2: 20%
Option 3: 23%
Option 4: 28%
Correct Answer: 25%
Solution : As per the given graph: The male population in the year 2016 = 40 thousand The female population in the year 2016 = 72 – 40 = 32 thousand The difference between the male population and the female population in the year 2016 = 40
Question : Which article of the Indian Constitution is related to the special provisions concerning the State of Sikkim?
Option 1: Article 371C
Option 2: Article 371
Option 3: Article 371F
Option 4: Article 371A
Correct Answer: Article 371F
Solution : The correct answer is Article 371F.
The laws governing the constitution of the union of states that make up India as a whole are collected in Part XXI of the Indian Constitution. Articles on transitional, special, and temporary provisions make up this section
Question : Directions: In a certain code language, time has come is coded as et im ak; come with money is coded as nd ak co and money has power is coded as fu et nd. (All the codes are two-letter codes only.) How will with power be coded in that language?
Option 1: et mp
Option 2: td fu
Option 3: co fu
Option 4: co mp
Correct Answer: co fu
Solution : Given: 1. time has come ⇒ et im ak 2. come with money ⇒ nd ak co 3. money has power ⇒ fu et nd
By comparing all the three coded sentences, we find that – In sentences 1 and 2, come and ak
Question : The most productive ecosystem in the biosphere is:
Option 1: Desert
Option 2: Open Ocean
Option 3: Estuary
Option 4: Tundra
Correct Answer: Estuary
Solution : The correct option isEstuary.
Because of the mixing of freshwater and saltwater, estuaries are the most productive ecosystems in the biosphere. An estuary is a partly contained body of water along the coast where freshwater from rivers and streams meets saltwater from the ocean. Estuaries
Question : The area of the parallelogram whose length is 30 cm, width is 20 cm and one diagonal is 40 cm is:
Option 1: $200\sqrt{15}\text{ cm}^{2}$
Option 2: $100\sqrt{15}\text{ cm}^{2}$
Option 3: $300\sqrt{15}\text{ cm}^{2}$
Option 4: $150\sqrt{15}\text{ cm}^{2}$
Correct Answer: $150\sqrt{15}\text{ cm}^{2}$
Solution : In $\triangle$ ABD, AB = 20 cm. AD = 30 cm. BD = 40 cm Semi perimeter (s) = $\frac{a+b+c}{2}$ = $\frac{20+30+40}{2}$ = 45 cm Now, the area of $\triangle$ABD = $\sqrt{s(s - a)(s - b)(s - c)}$ = $\sqrt{45(45 - 20)(45 - 30)(45
Question : If $a^3=117+b^3$ and $a=3+b$, then the value of $(a+b)$ is:
Option 1: $\pm 7$
Option 2: $\pm 49$
Option 3: $\pm 13$
Option 4: $0$
Correct Answer: $\pm 7$
Solution : Given: $a^{3} - b^{3} = 117$ and $a - b = 3$ We know, $(a^{3} - b^{3}) = (a - b)(a^{2} + b^{2} + ab)$ $⇒(a^{3} - b^{3}) = (a - b)[(a - b)^{2} + 3ab]$ $⇒117 = 3[3^{2} + 3ab]$ $⇒39 = [3^{2}
Question : If $8 \cot A = 7$, then find $\sin A$.
Option 1: $\frac{7}{15}$
Option 2: $\frac{8}{\sqrt{113}}$
Option 3: $\frac{7}{8}$
Option 4: $\frac{8}{7}$
Correct Answer: $\frac{8}{\sqrt{113}}$
Solution : Given: $8 \cot A = 7$ ⇒ $\cot A = \frac{7}{8}$ We know that $\operatorname{cosec^2 A}-\cot^2A=1$ ⇒ $\operatorname{cosec^2 A}- (\frac{7}{8})^2=1$ ⇒ $\operatorname{cosec^2 A}=1+\frac{49}{64}$ ⇒ $\operatorname{cosec A}=\sqrt{\frac{113}{64}}=\frac{\sqrt{113}}{8}$ ⇒ $\sin A=\frac{8}{\sqrt{113}}$ Hence, the correct answer is $\frac{8}{\sqrt{113}}$.
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2), and (3) that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
I want to admit in a university in the US.
(1) go
(2) enter
(3) enrol
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The sentence can be improved using the third option "enrol".
This helps improve the sentence by using the appropriate verb "enrol" to convey the action of getting accepted into a university or registering for courses.
The meanings of the other options are as follows:
Question : Comprehension: In the given passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each number.
In August every year, thousands of twins descend on a town in Ohio called Twinsburg, named by identical twin brothers 1.________ two centuries ago. The Twins Days Festival is a three-day 2.________ consisting of talent shows and look-alike 3.__________ that has become one of the world's 4.___________ gatherings of twins. There have been 5.____________festivals in Nigeria, a country where 1 in 22 births to the Yoruba people 6.____________ twins, identical or fraternal, which is a much higher 7. ___________than anywhere else in the world. This has been 8.___________ to the eating of yams, but the theory is 9.__________ Biomedical researchers attend these events, regarding them as a 10.____________ opportunity to conduct surveys and experiments.
Question: Select the most appropriate option to fill in the blank No. 9.
Option 1: suspected
Option 2: disputed
Option 3: projected
Option 4: accepted
Correct Answer: disputed
Solution : The second option is the correct answer.
We can say that the implied meaning of the sentence is that the eating of yams has been attributed to the birth of twins by the Yoruba people, but the theory is subject to disagreement. According to the
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