Staff Selection Commission Sub Inspector Exam
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: $(2-7\sqrt{5})$
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 $(7+2\sqrt{5})$.
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
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 –
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: $25 \%$
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
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:
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,
Question : Directions: Stanley starts cycling from Point A. He cycles x km towards the east and then turns right and cycles 3 km. He again turns right and cycles for (x + 1) km. He again turns right and cycles for (2x + 1) km. He takes a final right turn and cycles for 1 km to stop at Point B. Point B is 6 km north of Point A. What is the value of x?
Option 1: 9
Option 2: 3
Option 3: 4
Option 4: 5
Correct Answer: 4
Solution : Firstly, we will draw the diagram as per the given instructions –
As we see, the distance (FE) = 2x + 1 is also equal to the distance (AB) + (CD). AB = 6km; CD = 3Km ⇒ 2x + 1 = 6 + 3
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
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.
Question : Directions: Select the Venn diagram that best illustrates the relationship between the following classes. Clothes, Shoes, Shirts
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
Question : The headquarters of the World Trade Organization is located at:
Option 1: Paris
Option 2: Geneva
Option 3: Dubai
Option 4: Bonn
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.
Question : Directions: Select the option figure that is NOT embedded in the figure (X) given below (rotation is NOT allowed).
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
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%
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
The Question containing Inaapropriate or Abusive Words
Question lacks the basic details making it difficult to answer
Topic Tagged to the Question are not relevant to Question
Question drives traffic to external sites for promotional or commercial purposes
The Question is not relevant to User
And never miss an important update