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Staff Selection Commission Sub Inspector Exam

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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

Team Careers360 23rd Jan, 2024

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.

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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

Team Careers360 14th Jan, 2024

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

17 Views

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

Team Careers360 19th Jan, 2024

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.
⇒ $\frac{16 \operatorname{cosec}^2 \theta + 25 \sin^2 \theta}{2} \geq \sqrt{(16\operatorname{cosec}^2 \theta)(25 \sin^2 \theta)}$

16 Views

Question : For what value of M, 34M is divisible by 12?

Option 1: 2

Option 2: 0

Option 3: 8

Option 4: 6

Team Careers360 22nd Jan, 2024

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

4 Views

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: $49\pi \ \text{cm}^2$

Team Careers360 18th Jan, 2024

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

6 Views

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

Team Careers360 23rd Jan, 2024

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 ×

26 Views

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

Team Careers360 23rd Jan, 2024

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

13 Views

Question : The famous mathematician Srinivasa Ramanujan was born in:

Option 1: Madras (now Chennai)

Option 2: Kumbakonam

Option 3: Namakkal

Option 4: Erode

Team Careers360 14th Jan, 2024

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

28 Views

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

Team Careers360 11th Jan, 2024

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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