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Staff Selection Commission Sub Inspector Exam

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Question : In a $\triangle ABC$, D and E are two points on AB and AC respectively such that DE || BC, DE bisects the $\triangle ABC$ in two equal areas. Then the ratio DB : AB is:

Option 1: $1:\sqrt2$

Option 2: $1:2$

Option 3: $\left ( \sqrt2-1 \right ):\sqrt2$

Option 4: $\sqrt2:1$

Team Careers360 20th Jan, 2024

Correct Answer: $\left ( \sqrt2-1 \right ):\sqrt2$


Solution :
Given, area of ($\triangle ADE)$ = area of $BDEC$
⇒ $\triangle 2ADE = \triangle ABC$
Since, $DE \parallel BC$
∴ $\triangle ADE$ ~ $\triangle ABC$
Now,
$\frac{area (\triangle ADE)}{area (\triangle ABC)} = \frac{1}{2} = \frac{AD^2}{AB^2}$
⇒ $\frac{AB}{AD} = \sqrt2$....................(1)
⇒ $\frac{AB}{AD}-1

325 Views

Question : Select the option that can be used as a one-word substitute for the given group of words.

Requiring exceptional skill or caution in performance or handling 

Option 1: Blunt

Option 2: Tricky

Option 3: Sustainable

Option 4: Abstract

Team Careers360 17th Jan, 2024

Correct Answer: Tricky


Solution : The correct choice is the second option.

Explanation: The appropriate one-word substitute for the given group of words, describing something that requires exceptional skill or caution in performance, is "tricky". A tricky task involves difficulties or uncertainties.
The meanings of the other options are as

19 Views

Question : Which of the following pairs is incorrect?

Option 1: Pannalal Ghosh - Flute

Option 2: Guru Gopi Krishna - Kathak

Option 3: Nikhil Banerjee - Santoor

Option 4: Nandlal Bose - Painting

Team Careers360 13th Jan, 2024

Correct Answer: Nikhil Banerjee - Santoor


Solution : The correct option is Nikhil Banerjee - Santoor.

Nikhil Banerjee was one of India's most prominent sitar players of his time. He belongs to the Maihar Gharana. Pandit Pannalal Ghosh, also known as Amal Jyoti Ghosh, was a famous flute player and

19 Views

Question : A man goes from place A to B at a speed of 12 km/hr and returns from B to A at a speed of 18 km/hr. His average speed for the entire journey is:

Option 1: $14 \frac{2}{5} \mathrm{~km} / \mathrm{hr}$

Option 2: 15 km/hr

Option 3: 6 km/hr

Option 4: 30 km/hr

Team Careers360 13th Jan, 2024

Correct Answer: $14 \frac{2}{5} \mathrm{~km} / \mathrm{hr}$


Solution : Given: A man goes from place A to B at a speed of 12 km/hr and returns from B to A at a speed of 18 km/hr.
$\therefore$ Average speed = $\frac{\text{2 × (Speed to go to A to B) ×

16 Views

Question : Consequent to the recommendations of the Working Group on Rural Banks, 5 rural Regional Banks were initially set up in the year:

Option 1: 1973

Option 2: 1974

Option 3: 1975

Option 4: 1976

Team Careers360 15th Jan, 2024

Correct Answer: 1975


Solution : The correct option is 1975.

Five Regional Rural Banks (RRBs) were first established in India in 1975 by the recommendations of the Working Group on Rural Banks. To address the credit demands of the most disadvantaged segments of society, these banks were created to

58 Views

Question : Three pipes, A, B, and C, can fill a cistern in 12, 18 and 24 minutes, respectively. If all the pipes are opened together for 7 minutes, what will be the volume of the water that overflows as the percentage of the total volume of the cistern?

Option 1: $23 \frac{2}{3}\%$

Option 2: $26 \frac{5}{18}\%$

Option 3: $23 \frac{1}{3}\%$

Option 4: $26 \frac{7}{18}\%$

Team Careers360 22nd Jan, 2024

Correct Answer: $26 \frac{7}{18}\%$


Solution : Let the volume of the cistern be 72 units. 
Pipe A can fill the cistern in 12 minutes.
The rate of filling = $\frac{72}{12}$ = 6 units per minute
Similarly, pipe B can fill the cistern in 18 minutes. 
The rate of filling =

17 Views

Question : Select the INCORRECTLY spelt word.

Option 1: Impoverish

Option 2: Ostacise

Option 3: Necessitate

Option 4: Grandeur

Team Careers360 19th Jan, 2024

Correct Answer: Ostacise


Solution : The correct choice is the second option.

Explanation: The correct spelling of the word is ostracise, not ostacise. The correct spelling includes the letter "r" after the letter "t." "Ostracise" means to exclude or banish someone from a group or society.

11 Views

Question : Directions: In the following question, choose the correct alternative which will improve the part of the sentence given in quotes.

Martin Luther "translated" the Bible into German.

  1. translate
  2. translating
  3. have translated
  4. No Improvement

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 4

Team Careers360 17th Jan, 2024

Correct Answer: 4


Solution : The correct answer is the fourth option.

The sentence is grammatically accurate and doesn't need any improvement. The sentence conveys the idea that the Bible was translated into German by Martin Luther in the past 

Therefore, the given sentence requires no improvement.

18 Views

Question : What was the important feature/outcome of the Lucknow Pact of 1916?

Option 1: The Congress did not agree to separate electorates for Muslims in provincial council elections.

Option 2: It widened the gap between the Hindus and the Muslims.

Option 3: It marked the reunion of the moderate and radical wings of the Congress.

Option 4: It led to the partition of Bengal.

Team Careers360 15th Jan, 2024

Correct Answer: It marked the reunion of the moderate and radical wings of the Congress.


Solution : The correct option is It marked the reunion of the moderate and radical wings of the Congress.

During this time, the Congress was split into two main factions: moderates and extremists, or

275 Views

Question : Directions: Which of the following numbers will replace the question mark (?) in the given series?
3, 5, 7, 12, 37, 69, 357, (?)

Option 1: 656

Option 2: 645

Option 3: 665

Option 4: 654

Team Careers360 15th Jan, 2024

Correct Answer: 656


Solution : Given:
3, 5, 7, 12, 37, 69, 357, (?)

The pattern is as follows –

Therefore, the required missing number in the series is 656. Hence, the first option is correct.

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