Staff Selection Commission Sub Inspector Exam
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: $\sqrt2:1$
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
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
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
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
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
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
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) ×
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
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
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: $26 \frac{7}{18}\%$
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 =
Question : Select the INCORRECTLY spelt word.
Option 1: Impoverish
Option 2: Ostacise
Option 3: Necessitate
Option 4: Grandeur
Correct Answer: Ostacise
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.
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.
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
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.
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.
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
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
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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