Staff Selection Commission Sub Inspector Exam
Question : Directions: In a code language, VACCINE is written as $\frac{132}{7}$ and MASKS is written as $\frac{72}{5}$. How will SANITIZE be written in that language?
Option 1: $\frac{113}{8}$
Option 2: $\frac{89}{7}$
Option 3: $\frac{113}{7}$
Option 4: $\frac{89}{8}$
Correct Answer: $\frac{113}{8}$
Solution : Given: VACCINE is written as $\frac{132}{7}$ and MASKS is written as $\frac{72}{5}$.
The sum of the opposite positional values of all the letters of VACCINE is divided by the number of letters of the word, to obtain the code –
5 + 26 + 24
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 13, 14, 14, ?, 176
Option 1: 148
Option 2: 22
Option 3: 38
Option 4: 42
Correct Answer: 22
Solution : Given: 13, 14, 14, ?, 176
The pattern is as follows –
So, 22 is the missing number of the series. Hence, the second option is correct.
Question : Which British scientist is known for developing the principle of holography in 1947 to improve the resolution of the electron microscope?
Option 1: Werner Heisenberg
Option 2: Lloyd Cross
Option 3: Dennis Gabor
Option 4: Charles Townes
Correct Answer: Dennis Gabor
Solution : The correct answer is Dennis Gabor.
In 1947, the Hungarian scientist Dennis Gabor pioneered the development of holography to enhance image clarity in electron microscopy. Traditional lenses employed in microscopes struggled to produce sharply focused pictures.
Question : Avi sold a house to Bhargav at a gain of 10% and Bhargav sold it to Chetan at a gain of 20%. If Chetan paid Rs. 2,64,00,000 for it, then at what price must Avi have purchased it?
Option 1: Rs. 2,00,00,000
Option 2: Rs. 2,30,00,000
Option 3: Rs. 2,50,00,000
Option 4: Rs. 1,75,00,000
Correct Answer: Rs. 2,00,00,000
Solution : Let the price Avi purchased the house for as A. Avi sold the house to Bhargav at a gain of 10%, so Bhargav bought it for 110% of A which we denote as B. ⇒ B = 1.1A Bhargav then sold the house to
Question : Directions: A cube is made by folding the given sheet. In the cube so formed, which letter will be on the face opposite to the face having F?
Option 1: D
Option 2: E
Option 3: B
Option 4: A
Correct Answer: D
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 pairs of
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: 3
Option 3: –1
Option 4: 0
Correct Answer: 3
Solution : $\frac{0.325 \times 0.325+0.175 \times 0.175+25 \times 0.00455}{5 \times 0.0065 \times 3.25-7 \times 0.175 \times 0.025}-\frac{0.5}{1.5}$ $=\frac{0.325^2+0.175^2+2 \times 0.325 \times0.175}{0.325^2-0.175^2}-\frac{0.5}{1.5}$ $=\frac{(0.325+0.175)^2}{(0.325+0.175)(0.325-0.175)}-\frac{0.5}{1.5}$ $=\frac{(0.325+0.175)}{(0.325-0.175)}-\frac{0.5}{1.5}$ $=\frac{(0.5)}{(0.15)}-\frac{0.5}{1.5}$ $=\frac{10}{3}-\frac{1}{3}$ $=3$ Hence, the correct answer is 3.
Question : A sum amounts to INR 7,562 in 4 years and to INR 8,469.44 in 5 years at a certain rate per annum, when the interest is compounded yearly. The rate of interest is:
Option 1: 12%
Option 2: 15%
Option 3: 20%
Option 4: 8%
Correct Answer: 12%
Solution : Let $P$ be the principal sum and $R$ be the interest rate. Total amount after $n$ years, compounded annually = $P(1+\frac{R}{100})^n$ Total amount after 4 years = INR 7,562 $P(1+\frac{R}{100})^4=7562$ -------------(i) Total amount after 5 years = INR 8,469.44 $P(1+\frac{R}{100})^5=8469.44$ -------------(ii) Dividing (ii) by (i),
Question : The marked price of an article is 50% more than its cost price. If a 20% discount is given, then what will be the profit percentage?
Option 1: 20%
Option 2: 25%
Option 3: 30%
Option 4: 50%
Correct Answer: 20%
Solution : Given: The marked price of an article is 50% more than its cost price. Let the cost price be 100 units. So, the marked price is 100 + 50 = 150 20% discount is given, So, selling price is $\frac{100-20}{100}×150=120$ $\therefore$ Profit = (Selling Price
Question : Select the most appropriate option to substitute the underlined segment in the given sentence. If there is no need to substitute it, select 'No substitution'. I enjoy to watch a good detective movie.
Option 1: watch
Option 2: watched
Option 3: No substitution
Option 4: watching
Correct Answer: watching
Solution : The fourth option is the correct answer.
The verb enjoy is typically followed by a gerund (the -ing form of a verb) rather than an infinitive (to + base form of a verb).
So, the gerund form watching should be used instead of the infinite
Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it.
Option 1: 154
Option 2: 150
Option 3: 165
Option 4: 157
Correct Answer: 157
Solution : Multiply the number given in column one by 3 and add 1 to the resultant to get the second column and multiply the first column by 9 and add 4 to the resultant to get the third column –
In the first row→(9 × 3)
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