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Staff Selection Commission Combined Graduate Level Exam

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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

Team Careers360 24th Jan, 2024

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

25 Views

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%

Team Careers360 14th Jan, 2024

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

21 Views

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

Team Careers360 18th Jan, 2024

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

69 Views

Question : Directions: In a certain code language, time has come is coded as et im akcome 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

Team Careers360 16th Jan, 2024

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

10 Views

Question : The most productive ecosystem in the biosphere is:

Option 1: Desert

Option 2: Open Ocean

Option 3: Estuary

Option 4: Tundra

Team Careers360 18th Jan, 2024

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

10 Views

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: $150\sqrt{15}\text{ cm}^{2}$

Team Careers360 24th Jan, 2024

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

8 Views

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: $0$

Team Careers360 18th Jan, 2024

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}

10 Views

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: $\frac{8}{7}$

Team Careers360 15th Jan, 2024

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 $\frac{8}{\sqrt{113}}$.

11 Views

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)

Team Careers360 20th Jan, 2024

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:

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