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Staff Selection Commission Sub Inspector Exam

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Question : Two posts are 2 metres apart. Both posts are on the same side of a tree. If the angles of depressions of these posts when observed from the top of the tree are 45° and 60° respectively, then the height of the tree is:

Option 1: $(3-\sqrt{3})$ metres

Option 2: $(3+\sqrt{3})$ metres

Option 3: $(-3+\sqrt{3})$ metres

Option 4: $(3-\sqrt{2})$ metres

Team Careers360 25th Jan, 2024

Correct Answer: $(3+\sqrt{3})$ metres


Solution :
CD = 2 metres
BD = $x$ metre
AB = Tree = $h$ metre
From ∆ ABC,
tan 45° = $\frac{AB}{BC}$
⇒ $1 = \frac{h}{x+2}$
$\therefore h = (x + 2)$ metre .....(i)
From ∆ ABD,
$\tan 60° = \frac{AB}{BD}$
⇒ $\sqrt{3} = \frac{h}{x}$

16 Views

Question : Onion is an example of the bulb which is a modified

Option 1: stem

Option 2: root

Option 3: leaf

Option 4: flower

Team Careers360 24th Jan, 2024

Correct Answer: stem


Solution : The correct option is the stem.

The bulb of an onion is a modified underground stem that stores nutrients for the plant's growth, and reproduction. Scales are made up of layers of modified leaves. When growth resumes, the basal plate serves as an attachment

14 Views

Question : Directions: In a certain code language, CHART is written as GDASS. How will INDEX be written in that language?

Option 1: MIDWF

Option 2: MJDWF

Option 3: MDJWF

Option 4: MWDJF

Team Careers360 25th Jan, 2024

Correct Answer: MJDWF


Solution : Given:
CHART is written as GDASS.

Add and subtract 1 from the place value of the letters of CHART and the middle letter of the word will remain the same then shuffle the position of the letters as shown below to get the required code.


14 Views

Question : What would you call the area under the curve of a velocity-time graph included between itself and two-time ordinates?

Option 1: Velocity

Option 2: Displacement

Option 3: Acceleration

Option 4: Speed

Team Careers360 23rd Jan, 2024

Correct Answer: Displacement


Solution : The correct option is Displacement.

The area under the curve of a velocity-time graph, between the curve and two specific time axes, represents the displacement of an object during that time interval. This is based on the fact that the area under the velocity-time curve

28 Views

Question : If 30% of (B – A) = 18% of (B + A), then the ratio A : B is equal to:

Option 1: 4 : 1

Option 2: 1 : 4

Option 3: 5 : 4

Option 4: 5 : 9

Team Careers360 25th Jan, 2024

Correct Answer: 1 : 4


Solution : Given: 30% × (B – A) = 18% × (B + A)
⇒ $\frac{30}{100}$ × (B – A) = $\frac{18}{100}$ × (B + A)
⇒ 5 × (B – A) = 3 × (B + A)
⇒ 5B – 5A = 3B +

13 Views

Question : The value of $(\operatorname{cosec}A+\cot A)(1 - \cos A)$ is:

Option 1: $\cos A$

Option 2: $\tan A$

Option 3: $\cot A$

Option 4: $\sin A$

Team Careers360 23rd Jan, 2024

Correct Answer: $\sin A$


Solution : $(\operatorname{cosec}A+\cot A)(1 - \cos A)$
$=\left(\frac{1}{\sin A} + \frac{\cos A}{\sin A}\right)(1 - \cos A)$
$=\left(\frac{1 + \cos A}{\sin A}\right)(1 - \cos A)$
$=\frac{1 - \cos^2 A}{\sin A}$
$=\frac{\sin^2 A}{\sin A}$ [We know that $1 - \cos^2 A = \sin^2 A$]
$=\sin A$
Hence, the

12 Views

Question : A sum of INR 8,200 was divided among A, B, and C in such a way that A has INR 500 more than B, and C has INR 300 more than A. How much was A's share (in INR)?

Option 1: 2,300

Option 2: 3,100

Option 3: 2,800

Option 4: 2,000

Team Careers360 25th Jan, 2024

Correct Answer: 2,800


Solution : Let the share of B be $x$.
 A = INR 500 more than B, so A $=x + 500$
 C = INR 300 more than A, so C $=x + 500 + 300 = x+ 800$
According to the question,
$x + (x + 500)

14 Views

Question : The amount of oxygen in the atmosphere remains relatively constant because it is given off by

Option 1: oceans

Option 2: animals

Option 3: rocks

Option 4: plants

Team Careers360 25th Jan, 2024

Correct Answer: plants


Solution : The correct option is plants.

Oxygen is cycled through the environment in a similar way to how water moves from the sky to the earth and back in the water cycle. Beginning with plants, the oxygen cycle begins. Through a process known as photosynthesis,

12 Views

Question : If $a+\frac{1}{b}=b+\frac{1}{c}=c+\frac{1}{a}(a\neq b\neq c)$, then the value of $abc$ is:

Option 1: $\pm 1$

Option 2: $\pm 2$

Option 3: $0$

Option 4: $\pm \frac{1}{2}$

Team Careers360 25th Jan, 2024

Correct Answer: $\pm 1$


Solution : $a+\frac{1}{b}=b+\frac{1}{c}$
⇒ $(a-b) = \frac{(b-c)}{bc}$ ----------(i)
$a+\frac{1}{b}=c+\frac{1}{a}$
⇒ $(a-c) = \frac{(b-a)}{ba}$ ----------(ii)
$b+\frac{1}{c}=c+\frac{1}{a}$
⇒ $(b-c) = \frac{(c-a)}{ca}$ -----------(iii)
Multiplying (i), (ii) and (iii),
⇒ $(a-b)(a-c)(b-c) = \frac{(b-c)(b-a)(c-a)}{bc×ba×ca}$
⇒ $1 = \frac{1}{(abc)^2}$
⇒ $abc = \pm 1$
Hence, the correct answer is $\pm 1$.

185 Views

Question : Sour taste of "Coca cola" is due to the presence of

Option 1: Acetic acid

Option 2: Phosphoric acid

Option 3: Hydrochloric acid

Option 4: Formic acid

Team Careers360 25th Jan, 2024

Correct Answer: Phosphoric acid


Solution : The correct answer is Phosphoric Acid.

Sour taste of coca cola is due to presence of phosphoric acid in it. Food grade phosphoric acid in an additive which gives acidic taste to the food and beverages and acts as a stabiliser and antioxidant. It

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