Staff Selection Commission Sub Inspector Exam
Question : The value of $\frac{0.325 \times 0.325+0.175 \times 0.175+25 \times 0.00455}{5 \times 0.0065 \times 3.25-7 \times 0.175 \times 0.025}+\frac{0.5}{1.5}$ is:
Option 1: $3$
Option 2: 0
Option 3: $\frac{7}{3}$
Option 4: $\frac{11}{3}$
Correct Answer: $\frac{11}{3}$
Solution : Given: $\frac{0.325 \times 0.325+0.175 \times 0.175+25 \times 0.00455}{5 \times 0.0065 \times 3.25-7 \times 0.175 \times 0.025}+\frac{0.5}{1.5}$ $=\frac{(0.325)^2 \times(0.175)^2+2 \times 0.0325\times0.175}{0.0325\times3.25- 0.225 \times 1.025}+\frac{0.5}{1.5}$ $=\frac{(0.325+0.175)^2}{0.325\times0.325- 0.175 \times0.175}+\frac{0.5}{1.5}$ $=\frac{(0.325+0.175)^2}{(0.325)^2(0.175)^2}+\frac{0.5}{1.5}$ $=\frac{(0.325+0.175)^2}{(0.325+0.175)(0.325-0.175)}+\frac{0.5}{1.5}$ $=\frac{(0.325+0.175)}{(0.325-0.175)}+\frac{0.5}{1.5}$ $=\frac{0.5}{0.15}+\frac{0.5}{1.5}$ $=\frac{5+0.5}{1.5}$ $=\frac{5.5}{1.5}$ $=\frac{11}{3}$ Hence, the correct answer is $\frac{11}{3}$.
Question : Which one of the following cities has the maximum number of registered vehicles on the road?
Option 1: Mumbai
Option 2: Kolkata
Option 3: Delhi
Option 4: Chennai
Correct Answer: Delhi
Solution : The correct answer is Delhi
Delhi had the most registered vehicles among the million-plus cities, with nearly 1.18 crore, and Bengaluru had the second-most, with 96.4 lakh. Given the information above, it is safe to say that Delhi, the capital of India, is the city
Question : Directions: In the following question, some parts of the sentence may have 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".
I felt privileged (1) / to recite a poem in an honour of my teacher (2) / at a recent school function. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The correct choice is the second option.
The error lies in the use of "an honour" instead of "the honour". The definite article "the" is more appropriate in this context because it refers to a specific honour, i.e., the honour of the teacher.
Therefore,
Question : A circle is inscribed in a triangle ABC. It touches sides AB, BC and AC at points R, P and Q, respectively. If AQ = 3.5 cm, PC = 4.5 cm and BR = 7 cm, then the perimeter (in cm) of the triangle $\triangle \mathrm{ABC}$ is:
Option 1: 30
Option 2: 15
Option 3: 28
Option 4: 45
Correct Answer: 30
Solution :
AQ = 3.5 cm, PC = 4.5 cm and BR = 7 cm AQ and AR are two tangents on the circle from point A. ⇒ AQ = AR = 3.5 cm BP and BR are two tangents on the circle from point B. ⇒
Question : Directions: Select the figure that will replace the question mark (?) in the following figure series.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Here the pattern is as follows — 1. In the given series, the shaded quarter of the circle is moving 90° clockwise. 2. The arrow is moving 90° anti-clockwise and rotated in a 90° clockwise direction in its position. 3. The circle along the line is
Question : The opportunity cost of production of a commodity is
Option 1: The cost that the firm could have incurred when a different technique was adopted
Option 2: The cost that the firm could have incurred under a different method of production
Option 3: The actual cost incurred
Option 4: The best alternative output
Correct Answer: The best alternative output
Solution : The correct answer is the best alternative output.
The value of the best alternative that must be given up when resources are employed to create that commodity rather than another one is referred to as the opportunity cost of production of
Question : The process of imbibition involves
Option 1: Diffusion
Option 2: Capillary action
Option 3: Absorption
Option 4: Both 1 and 2
Correct Answer: Absorption
Solution : The correct option is Absorption.
Absorption of water by solid things, particularly porous materials such as plant tissues or powdered solids, is the process of imbibition. Imbibition happens when water molecules are drawn into the substance by capillary action, causing swelling and expansion. This
Question : Directions: A paper is folded and cut as shown below. How will it appear when unfolded?
Solution : When the given folded paper is unfolded, it will look like –
Hence, the first option is correct.
Question : The wrong number of the sequence 36, 81, 144, 225, 256, 441 is:
Option 1: 36
Option 2: 81
Option 3: 225
Option 4: 256
Correct Answer: 256
Solution : Given: Sequence is 36, 81, 144, 225, 256, 441. These are squares of numbers 6, 9, 12, 15, 16, 21. All numbers are divisible by 3 except 16. So, the wrong number in the sequence is 162 = 256 Hence, the correct answer is
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. K can be represented by 10, 41, etc, and N can be represented by 56, 97, etc. Similarly, you have to identify the set for the word TREND.
Option 1: 14, 13, 12, 65, 76
Option 2: 43, 42, 40, 78, 88
Option 3: 21, 34, 24, 57, 95
Option 4: 30, 01, 3, 97, 59
Correct Answer: 43, 42, 40, 78, 88
Solution : Given: TREND
Number representations of each letter – T→02, 14, 21, 30, 43 R→01, 13, 20, 34, 42 E→03, 12, 24, 31, 40 N→56, 65, 78, 89, 97 D→57, 69, 75, 88, 96
First option: 14, 13, 12, 65, 76; D
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