Staff Selection Commission Sub Inspector Exam
Question : Which one of the following represents the lines joining the places of equal rainfall?
Option 1: Isohypses
Option 2: Isohalines
Option 3: Isobars
Option 4: Isohyets
Correct Answer: Isohyets
Solution : The correct option is Isohyets.
Isohyets are lines on a map connecting points that receive equal amounts of precipitation during a specific period. The term "isohyet" is derived from two Greek words: "iso," meaning equal, and "hyetos" meaning rainfall or precipitation.
Question : Directions: In the following question a series is given, with one number missing. Choose the correct alternative from the given ones that will complete the series. 16, 33, 53, 76, 102, ?
Option 1: 131
Option 2: 135
Option 3: 230
Option 4: 231
Correct Answer: 131
Solution : Given: 16, 33, 53, 76, 102, ?
Let's calculate the difference between the terms of the series – 33 – 16 = 17; 53 – 33 = 20; 76 – 53 = 23; 102 – 76 = 26
So, 17, 20, 23, 26 are in
Question : Find the least value of $16 \operatorname{cosec}^2 \theta+25 \sin ^2 \theta$
Option 1: 40
Option 2: 42
Option 3: 35
Option 4: 38
Correct Answer: 40
Solution : To find the least value of the expression \(16 \operatorname{cosec}^2\theta + 25 \sin^2 \theta\), we can apply the AM-GM inequality: The arithmetic mean is always greater or equal to the geometric mean. ⇒ $\frac{16 \operatorname{cosec}^2 \theta + 25 \sin^2 \theta}{2} \geq \sqrt{(16\operatorname{cosec}^2 \theta)(25 \sin^2 \theta)}$
Question : For what value of M, 34M is divisible by 12?
Option 1: 2
Option 2: 0
Option 3: 8
Option 4: 6
Correct Answer: 8
Solution : The divisibility rule of 12: the number should be divisible by 3 and 4. The given number is 34M. The sum of digits = 3 + 4 + M (should be divisible by 3) Last two digits = 4M (should be divisible by 4) Putting
Question : Select the sentence that has a spelling error. A- Keeping cities clean and free of germs is particularly essential for keeping their residents healthy. B- Our health depends not just on our nutrition and personal hygeine but also on how we clean our cities and surroundings. C- The spread of various diseases is intricately linked to the deteriorating state of public health condition. D- The good news is that waste management, to keep cities clean, is now getting attention through the Swachh Bharat Mission.
Option 1: The good news is that waste management, to keep cities clean, is now getting attention through the Swachh Bharat Mission.
Option 2: The spread of various diseases is intricately linked to the deteriorating state of public health conditions.
Option 3: Keeping cities clean and free of germs is particularly essential for keeping their residents healthy.
Option 4: Our health depends not just on our nutrition and personal hygeine but also on how we clean our cities and surroundings.
Correct Answer: Our health depends not just on our nutrition and personal hygeine but also on how we clean our cities and surroundings.
Solution : The correct choice is the fourth option.
In the fourth sentence, there is a spelling error in the word hygeine. The correct spelling
Question : A right circular cylindrical tunnel of diameter 5 cm and length 10 cm is to be constructed from a sheet of iron. The area of the iron sheet required will be:
Option 1: $52\pi \ \text{cm}^2$
Option 2: $50\pi \ \text{cm}^2$
Option 3: $51\pi \ \text{cm}^2$
Option 4: $49\pi \ \text{cm}^2$
Correct Answer: $50\pi \ \text{cm}^2$
Solution : Given: diameter = 5 cm and height = 10 cm $r = \frac{\text{diameter}}{2} = \frac{5}{2} = 2.5 \, \text{cm}$ The lateral surface area of a cylinder \(= 2\pi rh\) The lateral surface area of a cylinder $ = 2\pi \times 2.5 \times 10
Question : Directions: Select the missing number in the pattern from the given responses.
Option 1: 298
Option 2: 299
Option 3: 499
Option 4: 199
Correct Answer: 299
Solution : In the given figure, the pattern can be observed running in the clockwise direction. Starting from 2, the pattern followed is – (2 × 2) + 1 = 5; (5 × 2) – 1 = 9; (9 × 2) + 1 = 19; (19 ×
Question : In which case did the Supreme Court restore the primacy of fundamental rights over the Directive Principles of State Policy (DPSP)?
Option 1: Golaknath Case
Option 2: Kesavananada Bharati Case
Option 3: Minerva Mills Case
Option 4: All above cases
Correct Answer: Minerva Mills Case
Solution : The correct answer is Minerva Mills Case.
Minerva Mills is a textile company in the state of Karnataka. On 31st July 1980, the Supreme Court made a clear judgement in the Minerva Mills vs Union of India case. And provide more impetus to
Question : The famous mathematician Srinivasa Ramanujan was born in:
Option 1: Madras (now Chennai)
Option 2: Kumbakonam
Option 3: Namakkal
Option 4: Erode
Correct Answer: Erode
Solution : The correct answer is Erode.
Srinivasa Ramanujan was a brilliant mathematician born in 1887 in Erode, India. Every year, on his birth date of December 22nd, National Mathematics Day is celebrated in India. Ramanujan made significant contributions to mathematical analysis, number theory and infinite
Question : A can do work in 12 days and B in 24 days. If they work together, in how many days will they finish the work?
Option 1: 12 days
Option 2: 20 days
Option 3: 15 days
Option 4: 8 days
Correct Answer: 8 days
Solution : Given: A can do work in 12 days and B in 24 days. Total work = LCM of (12, 24) = 24 units Efficiency of A = $\frac{24}{12}$ = 2 units/day Efficiency of B = $\frac{24}{24}$ = 1 units/day Total efficiency of A and
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