Staff Selection Commission Sub Inspector Exam
Question : The table given below shows the number of products sold by 4 shopkeepers A, B, C and D on four different days.
If the total products sold by A and B, including all four days, is 3000 and 3500, respectively, the products sold by B on Tuesday is how many more or less than the products sold by A on Thursday?
Option 1: 300 more
Option 2: 200 less
Option 3: 200 more
Option 4: 300 less
Correct Answer: 200 less
Solution : From the table, we can see that the number of products sold by A on Thursday is not given, and the number of products sold by B on Tuesday is also not given. However, we know the total products sold by A and B
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – operations on 13 such as adding /subtracting /multiplying etc. 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (241, 230, 189) (218, 250, 232)
Option 1: (158, 194, 182)
Option 2: (197, 233, 190)
Option 3: (276, 260, 184)
Option 4: (174, 212, 166)
Correct Answer: (276, 260, 184)
Solution : Given: (241, 230, 189); (218, 250, 232)
Subtract the third number from the second, then add 200 to the resultant number, to obtain the first number in the given set of numbers – ⇒ (241, 230, 189)→(230 – 189) + 200 = 41
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
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
Question : The given chart represents the distribution of the percentage of sales of a particular brand of car from five showrooms A, B, C, D, and E in 2018. The total number of cars sold during that year from the five showrooms is 5000.
What is the central angle (nearest to 0.1 degree) of the sector corresponding to the sales from showroom C?
Option 1: 48.6
Option 2: 60.5
Option 3: 56.7
Option 4: 50.4
Correct Answer: 50.4
Solution : Percentage of sales from the showroom C = 14% As we know, 100% represents = 360° ⇒ 1% represents = $\frac{360}{100}$ = 3.6 ⇒ 14% represents = 3.6 × 14 = 50.4° Hence, the correct answer is 50.4°.
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
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.
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: $150^\circ$
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
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
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
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
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.
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
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
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$^2$
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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