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Staff Selection Commission Sub Inspector Exam

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12 Views

Question : What is the time difference between Indian Standard Time [IST] and Greenwich Mean Time [GMT]?

Option 1: 7 hours and 30 minutes

Option 2: 6 hours and 30 minutes

Option 3: 5 hours and 30 minutes

Option 4: 4 hours and 30 minutes

Team Careers360 23rd Jan, 2024

Correct Answer: 5 hours and 30 minutes


Solution : The correct option is 5 hours and 30 minutes.

Indian Standard Time is 5 hours and 30 minutes ahead of Greenwich Mean Time. The Royal Observatory in Greenwich, London, keeps track of mean solar time, or GMT, starting at midnight. The

21 Views

Question : Which of the following is not a primary force which influences ocean currents?

Option 1: Gravity

Option 2: Heating by the sun

Option 3: Magnetic fields of the earth

Option 4: Coriolis force

Team Careers360 22nd Jan, 2024

Correct Answer: Magnetic fields of the earth


Solution : The correct answer is the magnetic fields of the earth

Ocean currents can be caused by the Coriolis force, density differences in water caused by temperature and salinity variations, gravity, and heating by solar energy & wind, but the magnetic fields

5 Views

Question : On which of the following dates/dates, the winter solstice is observed in the Northern Hemisphere?

I. 21st December

II. 5th August

III. 10th January

Option 1: Only I

Option 2: I and II both

Option 3: Only III

Option 4: Only II

Team Careers360 15th Jan, 2024

Correct Answer: Only I


Solution : The correct answer is only I.

Solstice is the day when the Earth is tilted to its maximum towards the Northern or Southern side. In the Northern Hemisphere, the Winter Solstice is usually observed on December 21 or 22, whereas the summer solstice

41 Views

Question : Select the most appropriate one-word substitution of the given group of words.

A list of source materials that are used or consulted in the preparation of a work or that are referred to in the text.

Option 1: Bibliography

Option 2: Bibliophile

Option 3: Bibliotheca

Option 4: Bibliomemoir

Team Careers360 24th Jan, 2024

Correct Answer: Bibliography


Solution : The first option is correct.

The most appropriate one-word substitution for the given group of words a list of source materials that are used or consulted in the preparation of a work or that are referred to in the text is bibliography.

A bibliography

19 Views

Question : The sum of the two numbers is 1215 and their HCF is 81. If the numbers lie between 500 and 700, then the sum of the reciprocals of the numbers is _____.

Option 1: $\frac{5}{702}$

Option 2: $\frac{5}{378}$

Option 3: $\frac{5}{1512}$

Option 4: $\frac{5}{1188}$

Team Careers360 20th Jan, 2024

Correct Answer: $\frac{5}{1512}$


Solution : Let the number be 81$x$ and 81$y$ 
 81$x$ + 81$y$ = 1215
⇒ $x + y = \frac{1215}{81}$ = 15
 Pair of $x+ y$ = (1,14), (2,13), (4,11), and (7,8)
⇒ $x = 7$ and $y = 8$
First number = 81 × 7 =

6 Views

Question : A cone-shaped storage tank's height and radius are 9 feet and 7 feet, respectively. Determine how much liquid the tank can contain. (Take $\pi$ = 3.14)

Option 1: 471 cubic feet

Option 2: 450 cubic feet

Option 3: 435.32 cubic feet

Option 4: 461.58 cubic feet

Team Careers360 24th Jan, 2024

Correct Answer: 461.58 cubic feet


Solution : The volume $V$ of a cone, where $r$ is the radius and $h$ is the height.
$V = \frac{1}{3} \pi r^2 h$
$= \frac{1}{3} \times 3.14 \times (7)^2 \times 9$
$= 461.58$
Hence, the correct answer is 461.58 cubic feet.

1 View

Question : Directions: In the following question observe the series and figure out the pattern used to form it. What will be the 3rd term of the series?
1, 5, ?, 22, 35

Option 1: 11

Option 2: 14

Option 3: 10

Option 4: 12

Team Careers360 23rd Jan, 2024

Correct Answer: 12


Solution : Given:
1, 5, ?, 22, 35

The difference between each consecutive term is increasing by 3 –
1 + 4 = 5
5 + (4 + 3) = 5 + 7 = 12
12 + (7 + 3) = 12 + 10 = 22
22

23 Views

Question : A sum amounts to INR 7,562 in 4 years and to INR 8,469.44 in 5 years, at a certain rate per cent per annum when the interest is compounded yearly. If INR 10,000 at the same rate of interest is borrowed for two years, then what will be the compound interest (in INR)?

Option 1: 2,544

Option 2: 1,736

Option 3: 2,764

Option 4: 1,965

Team Careers360 20th Jan, 2024

Correct Answer: 2,544


Solution : Let P be the principal.
We know, $\text{Total Amount}=\text{Principal}×(1+\frac{\text{Rate}}{100})^{\text{Time}}$
$\text{P}(1 +\frac{r}{100})^4$ = 7562 -----------------(1)
$\text{P}(1 +\frac{r}{100})^5$ = 8469.44  -------------(2)
Dividing (2) by (1) we get,
$(1 +\frac{r}{100}) = \frac{846944}{756200}$
$⇒\frac{r}{100} = 1.12 - 1$
$\therefore r = 12$
Compound Interest $=10,000 × [(1 + \frac{12}{100})^2

14 Views

Question : As observed from the top of a lighthouse, 45 m high above the sea level, the angle of depression of a ship, sailing directly towards it, changes from 30° to 45°. The distance travelled by ship during the period of observation is: (Your answer should be correct to one decimal place.)

Option 1: 32.9 m

Option 2: 33.4 m

Option 3: 36.9 m

Option 4: 24.8 m

Team Careers360 20th Jan, 2024

Correct Answer: 32.9 m


Solution :
Given, AB = 45 m
In $\triangle$ABC
$\tan$ 45° = $\frac{\text{AB}}{\text{BC}}$
⇒ 1 = $\frac{45}{\text{BC}}$
⇒ BC = 45 m
In $\triangle$ABD
$\tan 30° = \frac{\text{AB}}{\text{BD}}$
⇒ $\frac{1}{\sqrt{3}} = \frac{45}{\text{BD}}$
⇒ BD = $45\sqrt{3}$
Also, BD = CD + BC
⇒ $45\sqrt{3}$ = CD

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