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Staff Selection Commission Combined Higher Secondary Level Exam

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Question : What is the sum of all two-digit odd numbers?

Option 1: 2375

Option 2: 2475

Option 3: 2325

Option 4: 2425

Team Careers360 24th Jan, 2024

Correct Answer: 2475


Solution : Use the formulas:
nth term = first term + (n – 1) × common difference
Sum of an arithmetic sequence, S = $\frac{\text{number of terms}}{2}×\text{(first term + last term)}$
Two-digit odd numbers : 11,13,15, ........, 97, 99
Common difference = 2
Number of terms,

520 Views

Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error.

Can you make / sure you have / a correct address / before you start driving?

Option 1: Can you make

Option 2: sure you have

Option 3: a correct address

Option 4: before you start driving

Team Careers360 24th Jan, 2024

Correct Answer: a correct address


Solution : The error lies in the third option.

The error lies in the indefinite articlebeing used before correct address, but the sentence requires the definite article the to specify a particular, specific address. The definite article the is used before a noun

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Question : Select the option that will improve the (bracketed) part of the sentence. In case of no improvement select the option 'No Improvement'.

There's even a (picture by which a witch is riding) a broomstick on the sides of the police cars.

Option 1: No Improvement

Option 2: pictures of witch riding

Option 3: picture of a witch riding

Option 4: picture that of a witch riding

Team Careers360 24th Jan, 2024

Correct Answer: picture of a witch riding


Solution : The correct choice is the third option.

The phrase "picture by which a witch is riding" uses the incorrect preposition and does not concisely convey the intended meaning. It should be replaced with "picture of a witch riding", as it

11 Views

Question : The tower is 50 metres high, its shadow is $x$ metres shorter when the sun's elevation is $45°$ than when it is $30°$. The value of $x$ (in metres) is:

Option 1: $50\sqrt{3}$

Option 2: $50\left ({\sqrt3-1} \right)$

Option 3: $50\left ({\sqrt3+1} \right)$

Option 4: $50$

Team Careers360 25th Jan, 2024

Correct Answer: $50\left ({\sqrt3-1} \right)$


Solution :
Let the height of the tower be $BC$, the shadow of the tower when the sun’s altitude is 30° be $AB$ and the shadow of the tower when the sun’s elevation is 45° be $DB$.
Given: $BC$ = 50 m
And $AB -

13 Views

Question : In the following question, out of the given four alternatives, select the one that best expresses the meaning of the idiom or phrase.
Once in a blue moon

Option 1: Once in a day

Option 2: Frequently

Option 3: Rarely

Option 4: Once a week

Team Careers360 24th Jan, 2024

Correct Answer: Rarely


Solution : The correct answer is the third option.

Once in a blue moon: This idiom is used to describe something that happens very rarely or infrequently.

The meanings of the other options are as follows:

Once in a day: This option suggests a daily occurrence, which

18 Views

Question : What is the expansion of ($x$ + 11)($x$ – 11)?

Option 1: $x$+ 11

Option 2: $x$2 – 121

Option 3: $x$+ 121

Option 4: $x$– 11

Team Careers360 25th Jan, 2024

Correct Answer: $x$2 – 121


Solution : ($x$ + 11)($x$ – 11)
= $x$2 – (11)2 
= $x$2 – 121
Hence, the correct answer is $x$2 – 121.

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Question : The average of 15 numbers is 53. A number is removed and the average of 14 numbers now becomes 55. Which number was removed?

Option 1: 26

Option 2: 23

Option 3: 25

Option 4: 24

Team Careers360 24th Jan, 2024

Correct Answer: 25


Solution : The sum of the original 15 numbers = 15 × 53 = 795
After removing one number, the sum of the remaining 14 numbers = 14 × 55 = 770
The number that was removed = 795 – 770 = 25
Hence, the correct answer

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