Staff Selection Commission Sub Inspector Exam
Question : Directions: A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in the two matrices, given below. The columns and rows of Matrix (I) are numbered from 0 to 4 and that of Matrix (II) are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g. A can be represented by 01, 20, etc, and B can be represented by 56, 65, etc. Similarly, you have to identify the set for the word, CARS.
Option 1: 66, 20, 31, 88
Option 2: 77, 33, 40, 69
Option 3: 96, 00, 23, 99
Option 4: 95, 01, 13, 77
Correct Answer: 77, 33, 40, 69
Solution : Given: CARS
Number representations of each letter – C→59, 66, 77, 88, 95 A→20, 01, 12, 33, 44 R→40, 31, 02, 23, 14 S→55, 76, 87, 98, 69
Let's check the options – First option: 66, 20, 31, 88 – S cannot
Question : What is the periodicity of Halley's comet?
Option 1: 30-31 years
Option 2: 45-46 years
Option 3: 85-86 years
Option 4: 75-76 years
Correct Answer: 75-76 years
Solution : The correct answer is 75-76 years
Every 75-76 years, Halley's Comet, often known as Comet Halley, is a short-period comet visible from Earth. Its formal designation is 1P/Halley. Due to its brief duration, Halley is the only comet that can be seen with the
Question : Two equal tangents PA and PB are drawn from an external point P on a circle with centre O. What is the length of each tangent, if P is 12 cm from the centres and the angle between the tangents is 120$^\circ$?
Option 1: 24 cm
Option 2: 6 cm
Option 3: 8 cm
Option 4: cannot be determined
Correct Answer: 6 cm
Solution : Given, $OP = 12$ cm and $\angle APB=120^\circ$ In $\triangle OPA$ and $\triangle OPB$, $PA=PB$ (equal tangents) $\angle OAP=\angle OBP=90^\circ$ (tangent is perpendicular to the radius at its point of contact) $OP=OP$ (common side) So, $\triangle OPA$ $\cong$ $\triangle OPB$ So, $\angle APO=\frac{120^\circ}{2}=60^\circ$ Now,
Question : Directions: In each of the following questions, select the one that is different from the other three alternatives.
Option 1: 20, 16, 18
Option 2: 18, 14, 16
Option 3: 16, 12, 14
Option 4: 14, 11, 13
Correct Answer: 14, 11, 13
Solution : Let's check each option –
First option: 20, 16, 18→20 – 4 = 16; 16 + 2 = 18 Second option: 18, 14, 16→18 – 4 = 14; 14 + 2 = 16 Third option: 16, 12,14→16 – 4 = 12; 12 +
Question : If the price of apples increases from Rs. 80 per kg to Rs. 100 per kg, by what percentage should the consumption of apples decrease so that the expenditure remains the same?
Option 1: 25%
Option 2: 22%
Option 3: 20%
Option 4: 18%
Correct Answer: 20%
Solution : Here the expenditure is the same. So, price will be inversely proportional to consumption. Price increases from 80 to 100. therefore, the quantity decreases from 100 to 80. Reduction in the quantity $=\frac{100 – 80}{100}\times 100=\frac{20}{100}\times 100 = 20$% Hence, the correct answer is 20%.
Question : The largest current, because of its dark waters is known as the 'black current' and that is:
Option 1: Gulf Stream
Option 2: Kuroshio Current
Option 3: California Current
Option 4: Antarctic Current
Correct Answer: Kuroshio Current
Solution : The correct option is Kuroshio Current.
The Kuroshio, which means 'Black Current' in Japanese, is a warm ocean current that flows up the East coast of Asia and under the influence of the westerly winds towards North America. It is also known as the
Question : As per the UN criteria, a city qualifies as a mega city when its population is a minimum of:
Option 1: 12 million
Option 2: 15 million
Option 3: 10 million
Option 4: 5 million
Correct Answer: 10 million
Solution : The correct answer is 10 million.
A megacity refers to a highly populous urban area. As per the UN criteria, a city qualifies as a mega city when its population exceeds 10 million people. Some examples of megacities in India are Mumbai, Delhi, Kolkata,
Question : When the offices of both the President and Vice President of India are vacant, who will discharge their functions?
Option 1: The Prime Minister
Option 2: The Chief Minister
Option 3: The Chief Justice of India
Option 4: The Speaker of the Lok Sabha
Correct Answer: The Chief Justice of India
Solution : The correct answer is The Chief Justice of India.
When the offices of President and Vice President are vacant, the Chief Justice of India should discharge the functions of the President, and if the Chief Justice of India is also
Question : Directions: Select the correct equation after interchanging operations + and – and numbers 4 and 8.
Option 1: 2 + 8 – 4 = 9
Option 2: 8 + 4 – 2 = 10
Option 3: 4 – 8 + 11 = 1
Option 4: 4 – 8 + 11 = 8
Correct Answer: 4 – 8 + 11 = 1
Solution : Let's check each option – First Option: 2 + 8 – 4 = 9 On interchanging the mathematical signs and numbers, we get – 2 – 4 + 8 = 9 L.H.S. = 2 – 4 + 8 =
Question : Directions: One day, 90 students were traveling in a bus and the ratio of the number of boys to girls was 2: 1. The next day, the number of students remained the same, but the ratio of the number of boys to girls became 3: 2. What was the difference between the numbers of boys traveling in the bus on both the days?
Option 1: 18
Option 2: 6
Option 3: 14
Option 4: 30
Correct Answer: 6
Solution : Given: 90 students were traveling in a bus and the ratio of the number of boys to that of girls was 2: 1 According to the question, 2x + x = 90 3x = 90 x = 90 ÷ 3 x = 30 Therefore, Number
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