Staff Selection Commission Sub Inspector Exam
Question : Seven years ago, the ratio of the ages of A and B was 4 : 5. Eight years hence, the ratio of the ages of A and B will be 9 : 10. What is the difference between their present ages in years?
Option 1: 3
Option 2: 2
Option 3: 4
Option 4: 6
Correct Answer: 3
Solution : Let the present ages of A and B as $a$ and $b$ respectively. From the problem, Seven years ago, the ratio of the ages of A and B was 4 : 5. $⇒\frac{a-7}{b-7} = \frac{4}{5}$ $⇒5a - 35 = 4b - 28$ $⇒5a - 4b
Question : Select the most appropriate synonym of the bracketed word to fill in the blank.
All the __________ (delicate) things were kept/packed in a different box while shifting to a new place
Option 1: crude
Option 2: durable
Option 3: coarse
Option 4: fragile
Correct Answer: fragile
Solution : The correct choice is the fourth option.
Delicate refers to something that is easily broken, fragile, or requires careful handling, and fragile means delicate, easily damaged, or vulnerable to breaking, making it the closest synonym among the options provided.
The meanings of the other
Question : Directions: If θ denotes added to, δ denotes subtracted from, β denotes divided by, and α denotes multiplied by, then 5 β 1 δ 9 α 7 θ 142 = ?
Option 1: 114
Option 2: 98
Option 3: 84
Option 4: 125
Correct Answer: 84
Solution : Given: 5 β 1 δ 9 α 7 θ 142 = ?
Replacing the symbols with mathematical signs, we get – = 5 ÷ 1 – 9 × 7 + 142 = 5 – 9 × 7 + 142 = 5 – 63 + 142
Question : If $a=\sqrt{6}+\sqrt{5},b=\sqrt{6}-\sqrt{5}$, then $2a^{2}-5\; ab+2b^{2} =?$
Option 1: 38
Option 2: 39
Option 3: 40
Option 4: 41
Correct Answer: 39
Solution : Given: $a=\sqrt{6}+\sqrt{5}$ and $b=\sqrt{6}-\sqrt{5}$ Then, $a^{2} = (\sqrt{6}+\sqrt{5})^{2} = 6 + 2\sqrt{30} + 5 = 11 + 2\sqrt{30}$ $b^{2} = (\sqrt{6}-\sqrt{5})^{2} = 6 - 2\sqrt{30} + 5 = 11 - 2\sqrt{30}$ Now, the product of $a$ and $b$: $ab = (\sqrt{6}+\sqrt{5})(\sqrt{6}-\sqrt{5}) = 6 - 5
Question : The sides of a triangle are in the ratio 5 : 12 : 13 and its perimeter is 90 cm. Find its area (in cm2).
Option 1: 150
Option 2: 270
Option 3: 30
Option 4: 60
Correct Answer: 270
Solution : Let the sides of the triangle be $5x, 12x,$ and $13x$ (where $x$ is a positive constant) The perimeter of the triangle is the sum of its sides: ⇒ $5x+12x+13x=90$ ⇒ $30x = 90$ ⇒ $x = \frac{90}{30}$ = 3 first side = $5x$ =
Question : An article having a marked price of Rs. 2400 is sold for Rs. 1872. What is the discount percentage?
Option 1: 21%
Option 2: 22%
Option 3: 24%
Option 4: 26%
Correct Answer: 22%
Solution : Given: An article having a marked price of Rs. 2400 is sold for Rs. 1872. So, discount = (2400 – 1872) = 528 So, discount percentage = $\frac{528}{2400}$ × 100 = 22% Hence, the correct answer is 22%.
Question : Which material is used in the manufacturing of electric heater coil?
Option 1: Copper
Option 2: Iron
Option 3: Nickel
Option 4: Nichrome
Correct Answer: Nichrome
Solution : The correct option is Nichrome.
The most common substance utilized to make heating coils is nichrome. It is a nickel and chromium alloy recognised for its electrical resistance and resistance to oxidation and deformation at high temperatures.
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 difference between 3rd largest and 7th largest importer?
Option 1: 419.6 million
Option 2: 308.4 million
Option 3: 57 million
Option 4: 128.7 million
Correct Answer: 308.4 million
Solution : As per the given pie chart in question, The third largest importer = South Africa = 888.8 million dollars Seventh largest importer = Turkey = 580.4 million dollars Required difference = Third largest importer – Seventh largest importer Required difference = (888.8 – 580.4)
Question : Directions: Select the letter cluster that can replace the question mark (?) in the given letter cluster series. AE, KQ, EI, LR, IO, ?, OU, NT
Option 1: NR
Option 2: MR
Option 3: NS
Option 4: MS
Correct Answer: MS
Solution : Given: AE, KQ, EI, LR, IO, ?, OU, NT
Add one in the positional value of the consonants and for vowels write the immediate next vowels according to the alphabetical order of the vowels and the order is as follows – A, E, I, O,
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.
One of the pens ____ no ink.
Option 1: has
Option 2: have
Option 3: is
Option 4: are
Correct Answer: has
Solution : The first option is the correct answer.
When "one of" is used in a sentence, it acts as a singular subject and is followed by the singular verb, that is, has in this context.
Therefore, the complete sentence is: One of the pens has no
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