Staff Selection Commission Sub Inspector Exam
Question : Select the wrongly spelt word.
Option 1: custody
Option 2: cursory
Option 3: custom
Option 4: curtesy
Correct Answer: curtesy
Solution : The correct choice is the fourth option.
Explanation: In this case, the correct spelling of the word relating to polite behaviour or gesture is courtesy. The wrongly spelt word is curtesy. The term should be spelled courtesy. The error is that there should be
Question : Directions: In the following question, select the related number from the given alternatives. 13 : 24 :: ? : ?
Option 1: 45 : 79
Option 2: 56 : 78
Option 3: 35 : 59
Option 4: 57 : 68
Correct Answer: 57 : 68
Solution : Given: 13 : 24 :: ? : ?
Here, the difference between the numbers of both pairs is 11. Like, 13 : 24→24 – 13 = 11 Let's check the options – First option: 45 : 79; 79 – 45 = 34 ≠
Question : Directions: Select the option that is related to the third number in the same way as the second number is related to the first number. 184 : 207 :: 208 : ?
Option 1: 234
Option 2: 344
Option 3: 235
Option 4: 237
Correct Answer: 234
Solution : Given: 184 : 207 :: 208 : ?
Here, 184 : 207→184 ÷ 8 = 23 and 207 ÷ 9 = 23 Divide the first number by 8 and the second number by 9 and after division the answer obtained is the same in both
Question : There are three numbers where the first number is twice the second, and the second is thrice the third number. If the average of the three numbers is 20, what is the sum of the largest and smallest numbers?
Option 1: 24
Option 2: 42
Option 3: 54
Option 4: 60
Correct Answer: 42
Solution : Let the third number be $x$. According to the question, The second number $= 3x$ and the first number $= 6x$. So, $6x + 3x + x = 3 × 20$ (Sum of all three numbers) ⇒ $10x = 60$ ⇒ $x = 6$ Therefore,
Question : Directions: Select the correct option that indicates the arrangement of the following words in a logical and meaningful order. 1. Kilogram 2. Gram 3. Quintal 4. Decigram 5. Milligram
Option 1: 4, 5, 2, 3, 1
Option 2: 4, 5, 2, 1, 3
Option 3: 5, 4, 2, 1, 3
Option 4: 5, 2, 4, 1, 3
Correct Answer: 5, 4, 2, 1, 3
Solution : Given: 1. Kilogram 2. Gram 3. Quintal 4. Decigram 5. Milligram
The given words are related to the weight measurements, so we can arrange them in increasing or decreasing order of weights as – Convert all values in grams – 1.
Question : Direction: The following table shows the production of food grains (in million tonnes) in a state for the period 1999-2000 to 2003-2004. Read the table and answer the question.
In 2002-2003, the percentage increase in the production of barley as compared to the previous year was:
Option 1: 14.20%
Option 2: 17.85%
Option 3: 18.75%
Option 4: 7.90%
Correct Answer: 18.75%
Solution : Barley production in 2002–2003 = 380 million tonnes The previous year's production of barley = 320 million tonnes Increase in percentage = $\frac{\text{Current year – Previous year}}{\text{Previous year}}×100$ = $\frac{380-320}{320}×100$ = $\frac{60}{320}×100$ = 18.75% Hence, the correct answer is 18.75%.
Question : Directions: In the following question a series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series. –1, 0, ?, 8, 15, 24
Option 1: 4
Option 2: 3
Option 3: 2
Option 4: 1
Correct Answer: 3
Solution : Given: –1, 0, ?, 8, 15, 24
Add consecutive odd numbers to the previous term to obtain the next term in the series – –1 + 1 = 0; 0 + 3 = 3; 3 + 5 = 8; 8 + 7 = 15; 15
Question : Directions: Study the following graph and answer the questions. The number on the top of a bar is the number of TV. Demand and production of colour TV of five companies A, B, C, D, and E.
The demand of company D is approximately what percentage of the demand of company E?
Option 1: 12%
Option 2: 20%
Option 3: 24%
Option 4: 30%
Correct Answer: 24%
Solution : As per the given graph, The demand of company D = 600 The demand of company E = 2500 The required percentage = $\frac{600}{2500}$ × 100 = 24% Hence, the correct answer is 24%.
Question : If $\sin 3x=\cos(3x-45^{\circ}), 0^{\circ}<3x<90^{\circ}$, then $x$ is equal to:
Option 1: $45^\circ$
Option 2: $22.5^\circ$
Option 3: $35^\circ$
Option 4: $27.5^\circ$
Correct Answer: $22.5^\circ$
Solution : Given: $\sin 3x = \cos(3x - 45^\circ)$ We know that, $\sin \theta = \cos(90^\circ - \theta)$ ⇒ $\sin 3x = \sin(90^\circ - (3x- 45^\circ))$ ⇒ $3x = 90^\circ - 3x+45^\circ$ ⇒ $6x = 135^\circ$ ⇒ $x = 22.5^\circ$ Hence, the correct answer is $22.5^\circ$.
Question : Jeevan can do a piece of work alone in 42 days, while Rishi and Jeevan together can do the same piece of work in 27 days. How many days will Rishi take to complete the same piece of work alone?
Option 1: $74 \frac{3}{5}$
Option 2: $75 \frac{1}{5}$
Option 3: $75 \frac{4}{5}$
Option 4: $75 \frac{3}{5}$
Correct Answer: $75 \frac{3}{5}$
Solution : Time taken by Jeevan to complete the work = 42 days Part of work done by Jeevan in a day = $\frac{1}{42}$ Let $x$ be the time taken by Rishi to complete the work. Part of work done by Rishi in a day =
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