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Staff Selection Commission Sub Inspector Exam

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Question : The given pie charts represent the popularity of ice-cream flavours in the years 2005 and 2015.



If a percentage point shift results in annual additional sales of Rs. 5,000, how much (in Rs.) did the combined annual strawberry and butterscotch sales increase from 2005 to 2015?

Option 1: 74,000

Option 2: 37,000

Option 3: 65,000

Option 4: 10,000

Team Careers360 6th Jan, 2024

Correct Answer: 37,000


Solution : From the pie charts, 
The popularity of strawberry flavour increased from 18.9% in 2005 to 20.5% in 2015, a shift of 1.6 percentage points. 
The popularity of butterscotch flavour increased from 10.8% in 2005 to 16.6% in 2015, a shift of 5.8 percentage points.
The

11 Views

Question : Study the bar graph and answer the question.

The number of neon lamps having a life of 500 hours or more but less than 800 hours is:

Option 1: 180

Option 2: 305

Option 3: 270

Option 4: 225

Team Careers360 12th Jan, 2024

Correct Answer: 225


Solution : The number of neon lamps having a life of 500 hours or more but less than 800 hours
= 60 + 75 + 90 = 225
Hence, the correct answer is 225.

19 Views

Question : In $ΔABC, 2\angle A = 3\angle B = 6 \angle C$. What is the value of the largest angle among these three angles?

Option 1: $170^\circ$

Option 2: $90^\circ$

Option 3: $80^\circ$

Option 4: $150^\circ$

Team Careers360 17th Jan, 2024

Correct Answer: $90^\circ$


Solution : Given: $2\angle A = 3\angle B = 6 \angle C$
We know that,
$\angle A +\angle B + \angle C=180^\circ$
Putting the values, we get:
⇒ $\angle A +\frac{2}{3}\angle A + \frac{2}{6}\angle A=180^\circ$
⇒ $2\angle A =180^\circ$
⇒ $\angle A =90^\circ$
⇒ $\angle B=\frac{2}{3}×90^\circ=60^\circ, \angle

16 Views

Question : Directions: Four letter clusters have been given out of which three are alike in some manner, while one is different. Choose the odd one.

Option 1: uvVwWW

Option 2: pqQrRR

Option 3: mnNoOO

Option 4: dEefFF

Team Careers360 23rd Jan, 2024

Correct Answer: dEefFF


Solution : Let's check each option –
First Option: uvVwWW→uv/V/wWW→2 alphabet/1 alphabet/3 alphabet
Second Option: pqQrRR→pq/Q/rRR→2 alphabet/1 alphabet/3 alphabet
Third Option: mnNoOO→mn/N/oOO→2 alphabet/1 alphabet/3 alphabet
Fourth Option: dEefFF→ d/Ee/fFF→1 alphabet/2 alphabet/3 alphabet

So, the fourth option is different from the other options. Hence, the fourth option is

2 Views

Question : A ladder is resting against a wall. The angle between the foot of the ladder and the wall is 60°, and the foot of the ladder is 3.6 m away from the wall. The length of the ladder (in m) is:

Option 1: 5.4

Option 2: 3.6

Option 3: 14.4

Option 4: 7.2

Team Careers360 20th Jan, 2024

Correct Answer: 7.2


Solution :

Let AC be the length of the ladder.
BC = 3.6 m
In $\triangle$ BAC,
$\cos 60^{\circ} = \frac{BC}{AC}$
⇒ $\frac{1}{2} = \frac{3.6}{AC}$
⇒ AC = 2 × 3.6 = 7.2 m
Hence, the correct answer is 7.2 m.

14 Views

Question : Mohiniyattam, a classical dance of India belongs to which of the following states?

Option 1: Uttar Pradesh

Option 2: Kerala

Option 3: Andhra Pradesh

Option 4: Manipur

Team Careers360 15th Jan, 2024

Correct Answer: Kerala


Solution : The correct answer is Kerala.

Mohiniyattam is one of the 8 major Indian Classical dance forms and one of the two classical dance forms that originated in Kerala. Mohiniyattam and Kathakali are the two classical dance forms which originated from Kerala. The Other Indian

20 Views

Question : $\triangle$ABC is an equilateral triangle in which D, E, and F are the points on sides BC, AC, and AB, respectively, such that AD $\perp$ BC, BE $\perp$ AC and CF $\perp$ AB. Which of the following is true?

Option 1: 4AC$^2$ = 5BE$^2$

Option 2: 3AC$^2$ = 4BE$^2$

Option 3: 2AB$^2$ = 3AD$^2$

Option 4: 7AB$^2$ = 9AD$^2$

Team Careers360 21st Jan, 2024

Correct Answer: 3AC$^2$ = 4BE$^2$


Solution :
As we know,
Height of the equilateral triangle = $(\frac{\sqrt{3}}{2})$ × (Sides)
Height = AD = BE = CF
Now, $(\frac{\sqrt{3}}{2}$) × AC = BE
⇒ $\sqrt{3}$ AC = 2BE
Squaring on both sides
⇒ 3AC$^2$ = 4BE$^2$
Hence, the correct answer is

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