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Staff Selection Commission Sub Inspector Exam

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Question : What is the value of the positive square root of $(69+28\sqrt{5})$?

Option 1: $(7+2\sqrt{5})$

Option 2: $(7-2\sqrt{5})$

Option 3: $(2+7\sqrt{5})$

Option 4: $(2-7\sqrt{5})$

Team Careers360 22nd Jan, 2024

Correct Answer: $(7+2\sqrt{5})$


Solution : Given:
$x = 69+28\sqrt{5}$
$⇒ x = 49+20+2×7×2\sqrt{5}$
$⇒ x = 7^2+(2\sqrt{5})^2+2×7×2\sqrt{5}$
$⇒ x = (7+2\sqrt{5})^2$
So, the positive square root of $x$ is $(7+2\sqrt{5})$.
Hence, the correct answer is $(7+2\sqrt{5})$.

99 Views

Question : Directions: In a certain code language, CANADA is written as XZMZWZ, and AFRICA is written as ZUIRXZ. How will DEPRESSION be written in that language?

Option 1: XVKIVGGPLM

Option 2: WVKIVHHRLM

Option 3: XVKIVGGRLM

Option 4: WVKIVGGPLM

Team Careers360 24th Jan, 2024

Correct Answer: WVKIVHHRLM


Solution : Given:
CANADA is written as XZMZWZ, and AFRICA is written as ZUIRXZ.

Write the opposite letters of CANADA, to obtain the required code –
C→X, A→Z, N→M, A →Z, D→W, A→Z
Thus, CANADA is coded as XZMZWZ.
And in,  AFRICA is written as ZUIRXZ –

15 Views

Question : Ravi buys salt at INR 16 per kg and sells it at INR 18 per kg. He also uses the weight of 900 gm instead of 1000 gm. What is Ravi’s actual profit percentage?

Option 1: $23 \%$

Option 2: $20 \%$

Option 3: $23 \frac{11}{18} \%$

Option 4: $25 \%$

Team Careers360 21st Jan, 2024

Correct Answer: $25 \%$


Solution : The cost price of 1000 gm of salt = INR 16
Cost of 900 gm of salt $= \frac{16}{1000}\times900 = 14.4$
The selling price of 900 gm salt = INR 18
Profit = 18 – 14.4 = 3.6
So, the Profit percentage = $\frac{\text{Profit}}{\text{Cost

8 Views

Question : Directions: Select the option figure in which the given figure is embedded as its part (rotation is NOT allowed).

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 20th Jan, 2024

Correct Answer:


Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of the question figure with all the option figures, it is evident that the given question figure is embedded only in the first option figure.

Hence,

81 Views

Question : Directions: Which of the following numbers will replace the question mark (?) in the given series?
76, 99, 135, 185, 250, ?

Option 1: 330

Option 2: 331

Option 3: 328

Option 4: 315

Team Careers360 23rd Jan, 2024

Correct Answer: 331


Solution : Given:
76, 99, 135, 185, 250, ?

Follow the pattern to obtain the next term.

So, 331 is the missing term in the given series. Hence, the second option is correct.

167 Views

Question : Directions: Select the Venn diagram that best illustrates the relationship between the following classes.
Clothes, Shoes, Shirts

Option 1:

 

Option 2:

Option 3:

Option 4:

 

Team Careers360 22nd Jan, 2024

Correct Answer:


Solution : Given:
Clothes, Shoes, Shirts

Shirts come under the category of clothes but shoes are not related to shirts or clothes. Therefore, the circle of shirts should be completely inside the circle of clothes and there must be no intersection between the circle of shirts and clothes

22 Views

Question : The headquarters of the World Trade Organization is located at:

Option 1: Paris

Option 2: Geneva

Option 3: Dubai

Option 4: Bonn

Team Careers360 24th Jan, 2024

Correct Answer: Geneva


Solution : The correct answer is Geneva.

The World Trade Organization has its headquarters in Geneva, Switzerland. With 164 member states representing more than 98% of global commerce and GDP, the World Commerce Organization (WTO) is the largest international economic organization in the world.

5 Views

Question : Directions: Select the option figure that is NOT embedded in the figure (X) given below (rotation is NOT allowed).

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 25th Jan, 2024

Correct Answer:


Solution : Let's check each option –

First option: The given figure is not embedded in the question figure.
Second option:


This figure is embedded in the given question figure.
Third option:


This figure is embedded in the given question figure.
Fourth option:


This figure is embedded in

198 Views

Question : The monthly income of Ramesh was Rs.16,500 and his monthly expenditure was Rs.10,500. Next year his income increased by 25% and his expenditure increased by 19%. Find the percentage increase in his savings.

Option 1: 33.5%

Option 2: 34.5%

Option 3: 32.5%

Option 4: 35.5%

Team Careers360 19th Jan, 2024

Correct Answer: 35.5%


Solution : The monthly income of Ramesh was Rs.16,500 and his monthly expenditure was Rs. 10,500.
Savings in that month = 16500 – 10500 = 6000
Next year his income increased by 25% and his expenditure increased by 19%.
Monthly income becomes = $16500×\frac{125}{100}=20625$
His expenditure becomes

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