Staff Selection Commission Sub Inspector Exam
Question : Directions: Four friends are playing carrom and sitting on the four sides of the carrom board. B is to the right of C. D is to the left of A. Who is sitting to the left of C?
Option 1: Data is inadequate
Option 2: A
Option 3: D
Option 4: B
Correct Answer: A
Solution : Given: (I) Four friends are playing carrom and sitting on the four sides of the carrom board.
(II) B is to the right of C. D is to the left of A.
So, A sits immediately left of C. Hence, the second option is correct.
Question : Directions: Among the following words, which one will come fifth if they are arranged as per their order in an English dictionary? 1. Wink 2. Whip 3. Weary 4. Wing 5. Weigh 6. Weather
Option 1: Whip
Option 2: Wing
Option 3: Wink
Option 4: Weather
Correct Answer: Wing
Solution : Given: 1. Wink 2. Whip 3. Weary 4. Wing 5. Weigh 6. Weather
Step 1: Compare the first letter of each word. Since all the words start with the same letter W, then move on to the next letter. Step 2: The second letter of each word is either e, h, or i. Based on the alphabetical order of these letters, we can arrange them – Weary, Weigh, Weather, Whip, Wink, Wing. Step 3: Compare the third letter of (Weary, Weigh, Weather) and the fourth letter of (Wink, Wing). Wear and Weather will come before Weigh in the sequence as a comes before i in the alphabetical system. Similarly, Wing will come before Wink as g comes before k. Step 4: Compare the fourth letter of (Wear, Weather). Wear will come before Weather in the sequence as r comes before t in the alphabetical system. So, the sequence is Wear, Weather, Weigh, Whip, Wing, Wink.
Therefore, Whip will come fifth if they are arranged as per their order in an English dictionary. Hence, the second option is correct.
Question : Directions: Which two signs should be interchanged to make the given equation correct? 192 × 16 + 9 – 8 ÷ 2 = 5
Option 1: × and ÷
Option 2: + and –
Option 3: × and –
Option 4: + and ÷
Correct Answer: × and ÷
Solution : Given: 192 × 16 + 9 – 8 ÷ 2 = 5
Let's check the given options – First Option: × and ÷ ⇒ 192 ÷ 16 + 9 – 8 × 2 = 5 Solving the L.H.S. of the equation – = 12 + 9 – 8 × 2 = 12 + 9 – 16 = 5 Second option: + and – ⇒ 192 × 16 – 9 + 8 ÷ 2 = 5 Solving the L.H.S. of the equation – = 192 × 16 – 9 + 4 = 3072 – 9 + 4 = 3067 ≠ 5 Third option: × and – ⇒ 192 – 16 + 9 × 8 ÷ 2 = 5 Solving the L.H.S. of the equation – = 192 – 16 + 9 × 4 = 192 – 16 + 36 = 212 ≠ 5 Fourth option: + and ÷ ⇒ 192 × 16 ÷ 9 – 8 + 2 = 5 Solving the L.H.S. of the equation – = 192 × 1.78 – 8 + 2 = 341.76 – 8 + 2 = 335.76 ≠ 5
So, only the first option satisfies the given equation. Hence, the first option is correct.
Question : Two chords AB and CD of a circle intersect each other at P internally. If AP = 3.5 cm, PC = 5 cm, and DP = 7 cm, then what is the measure of PB?
Option 1: 8 cm
Option 2: 12 cm
Option 3: 10 cm
Option 4: 10.5 cm
Correct Answer: 10 cm
Solution :
AP = 3.5 cm PC = 5 cm DP = 7 cm AP × PB = PC × PD 3.5 × PB = 5 × 7 ⇒ PB = $\frac{35}{3.5}$ ⇒ PB = 10 cm Hence, the correct answer is 10 cm.
Question : Directions: The following pie chart shows the export of automobiles from India to the 10 countries given below in 2014. The 10 countries imported 47.8% of the total exports of India. Observe the chart given below and answer the following question.
What is the corresponding angle to the exports for Turkey?
Option 1: 14.4°
Option 2: 15.2°
Option 3: 12.5°
Option 4: 17.7°
Correct Answer: 14.4°
Solution : Percent of exports for Turkey = 4% Corresponding angle $=\frac{4}{100}×360°=14.4°$ Hence, the correct answer is $14.4°$.
Question : The given chart shows the distribution of the marks scored by Ram in five different subjects (in percentage).
What is the ratio of the central angle of Maths to the central angle of Science?
Option 1: 5 : 2
Option 2: 2 : 3
Option 3: 4 : 3
Option 4: 3 : 5
Correct Answer: 2 : 3
Solution : According to the question For maths: ⇒ $\theta$ for maths = $\frac{20}{100}$ × 360° = 72° For Science ⇒ $\theta$ for science = $\frac{30}{100}$ × 360° = 108° Ratio = $\frac{\theta ~\text {for maths}}{\theta ~\text{for science}}$ = $\frac{72°}{108°}$ = $\frac{2}{3}$ = 2 : 3 Hence, the correct answer is 2 : 3.
Question : The representatives of the Maratha empire and the British East India Company signed the "Treaty of Salbai" in which year?
Option 1: 1782
Option 2: 1769
Option 3: 1771
Option 4: 1758
Correct Answer: 1782
Solution : The correct answer is 1782.
The Treaty of Salbai, which ended the First Anglo-Maratha War, was signed on 17 May 1782 between the British East India Company and the Marathas. The first Anglo-Maratha War started in 1775. The Treaty of Salbai led to the establishment of the status quo which was restored between the English and Marathas.
Question : Directions: Arrange the following planets in a logical and meaningful order. 1. Earth 2. Venus 3. Mars 4. Saturn 5. Jupiter
Option 1: 3, 1, 2, 4, 5
Option 2: 2, 3, 1, 4, 5
Option 3: 2, 1, 3, 5, 4
Option 4: 1, 2, 3, 5, 4
Correct Answer: 2, 1, 3, 5, 4
Solution : Given: 1. Earth 2. Venus 3. Mars 4. Saturn 5. Jupiter
The correct order of planets based on their distance from the sun is Venus, Earth, Mars, Jupiter, and Saturn.
Thus, the order is 2, 1, 3, 5, 4. Hence, the third option is correct.
Question : If $x^2-3x+1=0$, what is the value of $(x^4+\frac{1}{x^4})$?
Option 1: $11$
Option 2: $18$
Option 3: $47$
Option 4: $51$
Correct Answer: $47$
Solution : Given: $x^2-3x+1=0$ Divide both sides by $x$, we get, $⇒ x-3+\frac{1}{x}=0$ $\therefore x+\frac{1}{x}=3$ Squaring both sides, we get, $⇒(x+\frac{1}{x})^2=3^2$ $⇒x^2+\frac{1}{x^2}+2×x×\frac{1}{x}=9$ $\therefore x^2+\frac{1}{x^2}=7$ Again squaring both sides, we get, $⇒(x^2+\frac{1}{x^2})^2=7^2$ $⇒x^4+\frac{1}{x^4}+2×x^2×\frac{1}{x^2}=49$ $⇒(x^4+\frac{1}{x^4})=49-2$ $\therefore(x^4+\frac{1}{x^4})=47$ Hence, the correct answer is $47$.
Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No error".
If you hear (1) / engaged tone (2) / replace the receiver and dial again. (3) / No error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The error lies in the second part of the sentence.
"Engaged tone" should be preceded by the indefinite article "an" to indicate that it is referring to one of the several possible engaged tones that someone might hear. Moreover, the article "an" is used with words starting with a vowel sound.
Therefore, the correct sentence is: "If you hear an engaged tone, replace the receiver and dial again."
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