Staff Selection Commission Sub Inspector Exam
Question : A certain amount of money earns Rs. 540 as a simple interest in 3 years. If it earns a compound interest of Rs. 376.20 at the same rate of interest in 2 years, find the amount (in Rs.):
Option 1: Rs. 1600
Option 2: Rs. 1800
Option 3: Rs. 2000
Option 4: Rs. 2100
Correct Answer: Rs. 2000
Solution : Given: Simple interest (SI) = Rs. 540 Period of simple interest = 3 years Compound interest (CI) = Rs. 376.20 Period of compound interest = 2 years Simple interest for 1 year = $\frac{1}{3}×540$ = Rs. 180 Simple interest for 2 year = $\frac{2}{3}×540$
Question : Let the speed of the boat in still water be 17 km/hr and let the speed of the stream be 5 km/hr. What is the time taken by the boat to go 110 km downstream?
Option 1: 4.5 hours
Option 2: 6 hours
Option 3: 5.5 hours
Option 4: 5 hours
Correct Answer: 5 hours
Solution : The downstream speed of the boat is the sum of the speed of the boat in still water and the speed of the stream. The downstream speed of the boat is 17 km/hr + 5 km/hr = 22 km/hr $\text{Time} = \frac{\text{Distance}}{\text{Speed}}$ So, the
Question : Let ABCDEF be a prism whose base is a right-angled triangle, where sides adjacent to 90$^{\circ}$ are 9 cm and 12 cm. If the cost of painting the prism is INR 151.20, at the rate of 20 paise per sq cm then the height of the prism is:
Option 1: 17 cm
Option 2: 18 cm
Option 3: 15 cm
Option 4: 16 cm
Correct Answer: 18 cm
Solution : Total surface area of prism = $\frac{\text{Total cost of painting}}{\text{Cost per sq cm}}=\frac{151.2}{0.2}$ = 756 cm2 Hypotenuse of the triangular base = $\sqrt{9^2 + 12^2}$ = $\sqrt{81 + 144}$ = $\sqrt{225}$ = 15 cm Perimeter of base = 9 + 12 + 15
Question : Comprehension: Read the given passage and answer the questions that follow.
Migaloo is by far one of the world’s most recognisable whales because he is completely white. Thanks to genetic sampling of Migaloo’s skin, scientists have identified that he’s male, and his albino appearance is a result of a variation in the gene responsible for the colour of his skin. Simply by looking different, Migaloo has become an icon within Australia’s east coast humpback whale population. Indeed, Migaloo has his own Twitter account with over 10,000 followers and a website where fans can lodge sightings and learn more about humpback whales. He was first discovered in 1991 off Byron Bay, Australia, and has since played hide and seek for many years, with many not knowing where or when he’ll show up next. He’s even surprised Kiwi fans by showing up in New Zealand waters. With the last official sighting two years ago, the time has once again come for us to ask: Where is Migaloo? Already this year, there have been false sightings, such as a near-white whale spotted off New South Wales. To make things more confusing, regular-looking humpbacks can trick whale watchers when they flip upside down due to their white bellies.
Question: How can regular-looking humpbacks trick whale watchers?
Option 1: By posting tweets on Twitter.
Option 2: By appearing secretly and unexpectedly.
Option 3: By showing their white-coloured bellies.
Option 4: By displaying their huge size.
Correct Answer: By showing their white-coloured bellies.
Solution : The correct choice is the third option (refer to the last line of the last paragraph).
Explanation: In the given passage, it is mentioned that regular-looking humpbacks can trick whale watchers when they flip upside down due to their white bellies.
Question : Which of the following is not a factor which should be kept in mind when planning meals for a family?
Option 1: Environment
Option 2: Nutritional need
Option 3: Economic factor
Option 4: Season
Correct Answer: Environment
Solution : The correct answer is Environment
When planning meals for a family, the most important factor is economic conditions, which refers to having a properly balanced diet according to the season. The environment is the study of the relationships between living organisms, including humans, and their
Question : Directions: Which of the following terms will replace the question mark (?) in the given series? PMRO, NKTQ, LIVS, ?, HEZW
Option 1: JGUX
Option 2: GJXU
Option 3: JGVU
Option 4: JGXU
Correct Answer: JGXU
Solution : Given: PMRO, NKTQ, LIVS, ?, HEZW
In the above–given series, subtract 2 from the first and second letters and add 2 to the third and fourth letters of the previous letter cluster to obtain the next letter cluster. PMRO→P – 2 = N; M –
Question : Reena, Veena, and Vimla can do a work in 4 hours, 8 hours, and 12 hours, respectively. In how much time will they finish the work working together?
Option 1: $\frac{2}{11}$ hours
Option 2: $5\frac{2}{11}$ hours
Option 3: $3\frac{2}{11}$ hours
Option 4: $2\frac{2}{11}$ hours
Correct Answer: $2\frac{2}{11}$ hours
Solution : Reena, Veena and Vimla can do a work in 4 hours, 8 hours, and 12 hours, respectively. Reena's 1 hour's work = $\frac{1}{4}$ Veena's 1 hour's work = $\frac{1}{8}$ Vimla's 1 hour's work = $\frac{1}{12}$ $\therefore$ (Reena + Veena + Vimla)'s 1 hour's work
Question : Under the provisions of which Article of the Constitution of India can the Bharat Ratna Award not be used as a prefix or suffix to the recipient's name?
Option 1: Article 17(2)
Option 2: Article 16(2)
Option 3: Article 18(1)
Option 4: Article 19(1)
Correct Answer: Article 18(1)
Solution : The correct answer is Article 18(1)
According to Article 18(1) of the Indian Constitution, neither the Bharat Ratna Award nor the Padma Award can be used as a prefix or suffix to the recipient's name. Additionally, section 1 of the Article on the "Abolition
Question : Directions: F is the brother of J. E is the sister of D. K is the sister of L. D is the son of L. J is the father of E. How is D related to F?
Option 1: Sister’s husband
Option 2: Brother’s son
Option 3: Wife
Option 4: Brother’s daughter
Correct Answer: Brother’s son
Solution : Following the instructions of the question, the family tree will be –
Here, the quadrilateral represents the male and the circular figure represents the female in the figure.
So, D is Brother’s son of F. Hence, the second option is correct.
Question : A sector of a circle has a central angle of 45° and an arc length of 22 cm. Find the radius of the circle. ( Use $\pi=\frac{22}{7}$)
Option 1: 32 cm
Option 2: 35 cm
Option 3: 28 cm
Option 4: 36 cm
Correct Answer: 28 cm
Solution : Given: Central angle = $45^\circ$ Arc length = 22 cm We know that, Length of the arc = $\frac{\theta}{360^\circ}\times2\pi r$ ⇒ $22=\frac{45^\circ}{360^\circ}\times2\times\frac{22}{7}\times r$ ⇒ $22=\frac{1}{8}\times2\times\frac{22}{7}\times r$ ⇒ $r=7\times4$ ⇒ $r=28$ cm Hence, the correct answer is 28 cm.
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