Staff Selection Commission Sub Inspector Exam
Question : A is twice as efficient as B and C is thrice as efficient as B. Working together, they can finish a certain work in 5 days. A and C worked together for 5 days. B alone would complete the remaining work in ____.
Option 1: 8 days
Option 2: 5 days
Option 3: 6 days
Option 4: 4 days
Correct Answer: 5 days
Solution : Let the efficiency of B be 1 unit. Efficiency of A = 2 × 1 = 2 units Efficiency of C = 3 × 1 = 3 units Total work = (1 + 2 + 3) × 5 = 30 units Work done by
Question : Which of the following Statements is false?
Option 1: Polystyrene was discovered in 1839 by Edward Simon.
Option 2: It is used for making plastics and CD cases.
Option 3: It is not biodegradable.
Option 4: None of these
Correct Answer: None of these
Solution : The correct answer is None of these
Polystyrene was first discovered in 1839. When Eduard Simon worked in Berlin, he invented a monomer named styrol and with this, he is credited with the discovery of Polystyrene. It is non-biodegradable and is used for
Question : If 1433 × 1433 × 1422 × 1425 is divided by 12, then what is the remainder?
Option 1: 3
Option 2: 6
Option 3: 9
Option 4: 8
Correct Answer: 6
Solution : Remainder of (1433 × 1433 × 1422 × 1425) ÷ 12 = Remainder of (1433 ÷ 12) × Remainder of (1433 ÷ 12) × Remainder of (1422 ÷ 12) × Remainder of (1425 ÷ 12) = Remainder of (5 × 5 × 6 × 9)
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No substitution required’. The flames of the fire leap into the air.
Option 1: No substitution required
Option 2: leap in
Option 3: leapt into
Option 4: leaping into
Correct Answer: leapt into
Solution : The correct option is the third option.
Explanation: Leapt into indicates the action of the flames jumping or moving suddenly upward into the air. It is grammatically correct and conveys the intended meaning of the sentence.
Therefore, the correct sentence would be, "The flames
Question : Two trains, 80 m and 120 m long, are running at the speeds of 25 km/hr and 35 km/hr, respectively in the same direction on parallel tracks. How many seconds will they take to pass each other?
Option 1: 48
Option 2: 64
Option 3: 70
Option 4: 72
Correct Answer: 72
Solution : Distance to be covered = 80 + 120 = 200 m Relative speed = 35 – 25 = 10 km/hr = 10 × $\frac{5}{18}$ = $\frac{50}{18}$ m/s $\therefore$ Time taken to pass = $\frac{\text{Sum of the length of the trains}}{\text{Relative Speed}}=\frac{200}{\frac{50}{18}}$ = 72 seconds Hence,
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence.
The ship sank because the engineer has not called for help.
Option 1: was not call for help
Option 2: did not call for help
Option 3: will not call for help
Option 4: did not called for help
Correct Answer: did not call for help
Solution : The correct choice is the second option.
The underlined segment "has not called for help" suggests the present perfect tense, which is not appropriate in this context. The correct past tense form should be used to indicate an action completed in
Question : Directions: The histogram shows the marks obtained by 45 students of a class. Look at the histogram and answer the questions. If the pass mark is 30, what is the number of failures?
Option 1: 2
Option 3: 18
Option 4: 20
Correct Answer: 18
Solution : As per the given graph, The number of students who obtained marks in the interval 0-10 = 2 The number of students who obtained marks in the interval 10-20 = 6 The number of students who obtained marks in the interval 20-30 = 10 The
Question : In $\triangle$PQR, $\angle$ PQR = $90^{\circ}$, PQ = 5 cm and QR = 12 cm. What is the radius (in cm) of the circumcircle of $\triangle$PQR?
Option 1: 6.5
Option 2: 7.5
Option 3: 13
Option 4: 15
Correct Answer: 6.5
Solution : In $\triangle$ PQR, $\angle$ PQR = $90^{\circ}$, PQ = 5 cm and QR = 12 cm PR2 = PQ2 + QR2 $PR = \sqrt{5^2 + 12^2} = \sqrt{25+144} = \sqrt{169} = 13$ cm Circumradius of $\triangle PQR = \frac{PR}{2} = \frac{13}{2} =
Question : Directions: A cube is made by folding the given sheet. In the cube so formed, which of the following pairs of letters will be on opposite sides?
Option 1: R and X
Option 2: A and Z
Option 3: A and E
Option 4: Q and X
Correct Answer: R and X
Solution : In the 3D view of dice, 1. Each face out of the three faces in the 3D view should be from all the pairs. 2. Two opposite faces cannot appear adjacently in the 3D view of a folded cube figure. So, the opposite
Question : Tropic of Cancer passes through which of the following Indian States?
Option 1: Bihar, West Bengal, Meghalaya, Tripura and Mizoram
Option 2: Madhya Pradesh, Maharashtra, Rajasthan, West Bengal, Tripura and Mizoram
Option 3: Gujarat, Madhya Pradesh, Chhattisgarh, Jharkhand, West Bengal, Tripura and Mizoram
Option 4: Madhya Pradesh, Maharashtra, Bihar, Chhattisgarh, Jharkhand and West Bengal
Correct Answer: Gujarat, Madhya Pradesh, Chhattisgarh, Jharkhand, West Bengal, Tripura and Mizoram
Solution : The correct answer is Gujarat, Madhya Pradesh, Chhattisgarh, Jharkhand, West Bengal, Tripura, and Mizoram.
The Cancer Tropic passes across eight Indian states: Gujarat, Rajasthan, Madhya Pradesh, Chattisgarh, Jharkhand, West Bengal, Tripura, and Mizoram
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