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Staff Selection Commission Sub Inspector Exam

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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: $\frac{89}{8}$

Team Careers360 21st Jan, 2024

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

304 Views

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

Team Careers360 20th Jan, 2024

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.

68 Views

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

Team Careers360 17th Jan, 2024

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.

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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

Team Careers360 12th Jan, 2024

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

16 Views

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

Team Careers360 21st Jan, 2024

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

17 Views

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

Team Careers360 21st Jan, 2024

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.

14 Views

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%

Team Careers360 18th Jan, 2024

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),

66 Views

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%

Team Careers360 21st Jan, 2024

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

24 Views

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

Team Careers360 9th Jan, 2024

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

15 Views

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

Team Careers360 13th Jan, 2024

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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