Staff Selection Commission Sub Inspector Exam
Question : Directions: How many triangles are there in the given figure?
Option 1: 14
Option 2: 16
Option 3: 18
Option 4: 20
Correct Answer: 16
Solution : The given figure can be labeled as shown below –
There are a total of 16 triangles in the above figure. They are AHE, DHE, ADE, BFG, GFC, BFC, AIE, EIF, FIB, BIA, AEF, EFB, FBA, BAE, ADF, BEC.
Hence, the second option is correct.
Question : The LCM of the two numbers is 660 and their HCF is 5. If one of the numbers is 55, find the other.
Option 1: 275
Option 2: 12
Option 3: 110
Option 4: 60
Correct Answer: 60
Solution : Given: LCM = 660 HCF = 5 One of the numbers = 55 Let the other number be a. We know that, LCM × HCF = product of two numbers ⇒ 660 × 5 = 55 × a ⇒ a = 60 Hence, the correct
Question : The weight of an object on the moon is equal to ______ of its weight on the earth.
Option 1: 1/10th
Option 2: 1/6th
Option 3: 1/8th
Option 4: 1/4th
Correct Answer: 1/6th
Solution : The correct option is 1/6th.
The weight of an object on the moon is approximately 1/6th of its weight on Earth. This is because the force of gravity on the moon is about 1/6th of the gravity on Earth. The weight formula is W =
Question : Directions: Select the correct combination of mathematical signs that can sequentially replace the * signs from left to right to balance the following equation. 15 * 5 * 24 * 140 * 7 * 71
Option 1: ÷, +, –, ×, =
Option 2: ×, –, ÷, +, =
Option 3: ×, –, +, ÷, =
Option 4: ×, ÷, +, –, =
Correct Answer: ×, –, +, ÷, =
Solution : Given: 15 * 5 * 24 * 140 * 7 * 71
Let's check the options – First option: ÷, +, –, ×, = 15 ÷ 5 + 24 – 140 × 7 = 71 On solving the L.H.S. of the
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. P can be represented by 55,69, etc, and L can be represented by 59, 68, etc. Similarly, you have to identify the set for the word, LAPSE.
Option 1: 86, 02, 55, 14, 97
Option 2: 86, 57, 00, 41, 97
Option 3: 31, 02, 00, 96, 42
Option 4: 31, 57, 55, 41, 42
Correct Answer: 86, 02, 55, 14, 97
Solution : Given: LAPSE
Number representations of each letter – L→59, 68, 77, 86, 95 A→02, 11, 20, 34, 43 P→55, 69, 78, 87, 96 S→00, 14, 23, 32, 41 E→56, 65, 79, 88, 97
Let's check the options – First option: 86,
Question : The speed of a boat in standing water is 6 km/hr and the speed of the stream is 2.5 km/hr. A man rows to a place at a distance of 59.5 kilometres and comes back to the starting point. The total time taken by him is:
Option 1: 16 hours
Option 2: 24 hours
Option 3: 22 hours
Option 4: 18 hours
Correct Answer: 24 hours
Solution : The total time taken by the man can be calculated by adding the time taken to row downstream (with the current) and the time taken to row upstream (against the current). The effective speed of the boat while going downstream (with the current) is
Question : The chemical name of Gammexane is:
Option 1: Toluene
Option 2: Chloro Benzene
Option 3: Aniline
Option 4: Benzene Hexachloride
Correct Answer: Benzene Hexachloride
Solution : The correct option is Benzene Hexachloride.
Gammexane, an isomer of hexachlorocyclohexane and an organochlorine compound is also known as Benzene Hexachloride or lindane. C₆H₆Cl₆ is its chemical formula. It is utilised in pharmacological treatments as well as agricultural insecticides.
Question : Directions: In the following question, the given sentence has four parts marked P, Q, R, and S. Choose the part of the sentence with the error and select it as your answer. If there is no error, select ' No Error (S)' as your answer.
Suresh have never (P) / encouraged nor (Q) / condoned violence. (R) / No Error (S)
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 1
Solution : The error lies in the first part of the sentence.
The verb "have" should be replaced with "has" to convey the intended meaning that Suresh has never supported or allowed violence. The subject, in this case, "Suresh" is a singular noun, so it should be
Question : Directions: A paper is folded and cut as shown. How will it appear when unfolded?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : When the given folded paper is unfolded, it will look like –
Hence, the third option is correct.
Question : In an examination, the original average mark was found to be 50. To deduct marks for computational errors, the marks of 100 candidates were changed from 90 to 60 each, and the new average of marks became 45. What was the total number of candidates who appeared in the examination?
Option 1: 600
Option 2: 300
Option 3: 200
Option 4: 150
Correct Answer: 600
Solution : Given: The average of marks = 50 The marks of 100 candidates had to be changed from 90 to 60 each, so the new average = 45 Total marks of 100 candidates before error = 90 × 100 = 9000 Total marks of 100 candidates
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