Staff Selection Commission Sub Inspector Exam
Question : Ramesh does half as much work as Parul in $\frac{4}{5}$ of the time. If together Ramesh and Parul take 24 days to complete the work, then how much time will Parul take to do it?
Option 1: 38 days
Option 2: 41 days
Option 3: 37 days
Option 4: 39 days
Correct Answer: 39 days
Solution : Let the time taken by Parul to complete the work be $x$. Part of work done by Parul in a day = $\frac{1}{x}$ Time taken by Ramesh $=2×\frac{4x}{5} = \frac{8x}{5}$ Part of work done by Ramesh in a day = $\frac{5}{8x}$ Time taken by
Question : Directions: Select the word from the given options that is similar to the given words and hence belong to the same group. Squeak : Quack : Cackle
Option 1: Sound
Option 2: Speak
Option 3: Noise
Option 4: Croak
Correct Answer: Croak
Solution : Given: Squeak : Quack : Cackle (These depict the type of sound made by animals.) First option: Sound; The sensation perceived by the sense of hearing. Second option: Speak; Say something in order to convey information or to express a feeling Third option: Noise; A
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 25, 30, 35, 38, 41, 46, ?
Option 1: 53
Option 2: 51
Option 3: 49
Option 4: 82
Correct Answer: 51
Solution : Given: 25, 30, 35, 38, 41, 46, ?
Here, the pattern followed is as follows –
So, 51 is the missing term in the series. Hence, the second option is correct.
Question : Two medians AD and BE of $\triangle$ ABC intersect at G at right angles. If AD = 9 cm and BE = 6 cm, then the length of BD (in cm) is:
Option 1: 10
Option 2: 6
Option 3: 5
Option 4: 3
Correct Answer: 5
Solution : Given: AD = 9 cm BE = 6 cm $\angle$DGB = 90° Here, the point of intersection of its medians, G divides the median in the ratio 2:1. So, DG = $\frac{1}{3}×$AD = $\frac{1}{3}×9=3$ cm BG = $\frac{2}{3}×$BE = $\frac{2}{3}×6=4$ cm From Pythagoras theorem we
Question : Directions: Two statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: I) All cardiologists are doctors. II) Some cardiologists are neurologists. Conclusions: I) Some doctors are cardiologists. II) Some doctors are neurologists.
Option 1: Both conclusions I and II follow
Option 2: Neither conclusion I nor II follows
Option 3: Only conclusion I follows
Option 4: Only conclusion II follows
Correct Answer: Both conclusions I and II follow
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some doctors are cardiologists – From the Venn diagram, it is evident that some parts of the circle representing doctors
Question : Directions: In the following question, some parts of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No Error".
Aayushi has come (1) / here to do a master (2) / degree in Social Work. (3) / No Error (4)
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 2
Solution : The error lies in the second part of the sentence.
The word "master" should be replaced with "master's" to indicate that Aayushi is pursuing a master's degree, which is a possessive form. Instead of "do a master" it should be "pursue a master's" as a
Question : Leshalaptu is a folk dance of which Indian state?
Option 1: Nagaland
Option 2: Kerala
Option 3: Goa
Option 4: Karnataka
Correct Answer: Nagaland
Solution : The correct answer is Nagaland
The Nagaland folk dance is called Leshalaptu. Aaluyattu, Agurshikukula, Butterfly Dance, Changai Dance, Khamba Lim, Kuki Dance, Mayur Dance, Modse, Monyo Asho, Sadal Kekai, Seecha and Kukui Kucho, Shankai and Moyashai, Rengma, etc., are some of the other folk dances
Question : The pie chart represents the percentage of people in a city who are interested in buying a laptop from five different companies - A, B, C, D, and E. The number of people interested in buying company A's laptop is what percentage of the number of people interested in buying company D's laptop?
Option 1: 135%
Option 2: 125%
Option 3: 150%
Option 4: 155%
Correct Answer: 155%
Solution : People interested in buying company A's laptop = 31% People interested in buying company D's laptop = 20% Required percentage = $\frac{\text{People interested in A}}{\text{People interested in D}}\times 100$ = $\frac{31}{20}\times 100$ = 155% Hence, the correct answer is 155%.
Question : In the given figure, point O is the centre of a circle of radius 13 cm and AB is a chord perpendicular to OD. If CD = 8 cm, what is the length (in cm) of AB?
Option 1: 6 cm
Option 2: 12 cm
Option 3: 24 cm
Option 4: 28 cm
Correct Answer: 24 cm
Solution : Given, Radius = 13 cm CD = 8 cm ⇒ OC = 13 – 8 = 5 cm [As OD is the radius] In $\triangle AOC$, Using Pythagoras theorem, we get, $AO^2=OC^2+AC^2$ ⇒ $13^2=5^2+AC^2$ ⇒ $AC^2=169-25$ ⇒ $AC=\sqrt{144}$ $\therefore AC = 12$ cm Now,
Question : Directions: The bar graph given below represents the number of boys in a school using three apps for three months.
What is the percentage decrease in the number of boys using Facebook from January to February?
Option 1: 26.66%
Option 2: 20%
Option 3: 21.33%
Option 4: 16.66%
Correct Answer: 16.66%
Solution : As per the given graph, The number of boys using Facebook in January = 600 The number of boys using Facebook in February = 500 The percentage decreases $=\frac{600-500}{500}×100=16.66\%$ Hence, the correct answer is 16.66%.
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