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Staff Selection Commission Combined Higher Secondary Level Exam

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Question : Directions: In the following question, select the missing number from the given series.
59, 118, 354, 708, 2124, ?

Option 1: 4350

Option 2: 4248

Option 3: 4148

Option 4: 4250

Team Careers360 24th Jan, 2024

Correct Answer: 4248


Solution : Given:
59, 118, 354, 708, 2124, ?

Multiply the previous term by 2 and 3 alternately to obtain the next term.
59 × 2 = 118; 118 × 3 = 354; 354 × 2 = 708; 708 × 3 = 2124; 2124 × 2 =

11 Views

Question : Choose the correctly spelt word.

Option 1: Temporery

Option 2: Camoflague

Option 3: Pseudonym

Option 4: Tabboo

Team Careers360 24th Jan, 2024

Correct Answer: Pseudonym


Solution : The third option is correct.

Pseudonym is spelled correctly, and it denotes a name used by somebody, especially a writer, instead of his or her real name.

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Question : Directions: A boy and a girl are facing each other. If the boy is facing the northwest direction, in which direction is the girl facing?

Option 1: North

Option 2: South

Option 3: East

Option 4: South-East

Team Careers360 23rd Jan, 2024

Correct Answer: South-East


Solution : As per the given information, the direction of girl and boy will look as follows –

Therefore, if the boy is facing the northwest direction and both are facing each other, then the girl is facing the southeast direction. Hence, the fourth option is correct.

434 Views

Question : From a cask filled with wine, 75 litres are first drawn and replaced with water. From this mixture, 60 litres are drawn and replaced with water. The ratio of wine to water in the cask is now 3 : 2. How many litres of wine did the cask initially hold?

Option 1: 225

Option 2: 250

Option 3: 375

Option 4: 300

Team Careers360 24th Jan, 2024

Correct Answer: 300


Solution : Let the cask initially hold $x$ litres of wine.
After 75 litres are first drawn and replaced with water,
Now, wine = ($x$ – 75) litres and water = 75 litres
Ratio of wine and water = $(x–75) : 75$
Again, from this mixture, 60

117 Views

Question : If A = $\frac{1}{7}$ and B = $\frac{1}{8}$ and the average of A, B and C is $\frac{1}{13}$, then the value of C is:

Option 1: $-\frac{31}{728}$

Option 2: $-\frac{27}{728}$

Option 3: $-\frac{89}{728}$

Option 4: $-\frac{49}{728}$

Team Careers360 25th Jan, 2024

Correct Answer: $-\frac{27}{728}$


Solution : Given:
A = $\frac{1}{7}$ and B = $\frac{1}{8}$
The average of A, B, and C = $\frac{1}{13}$
Total of A, B, and C = $\frac{1}{13}×3=\frac{3}{13}$
C = $\frac{3}{13}-(\frac{1}{7}+\frac{1}{8})$
⇒ C = $\frac{3}{13}-\frac{15}{56}$
$\therefore$ C = $-\frac{27}{728}$
Hence, the correct answer is $-\frac{27}{728}$.

12 Views

Question : Which of the following is not a technique or a step to convert normal water to potable water?

Option 1: Filtration

Option 2: Bromination

Option 3: Boiling

Option 4: Chlorination

Team Careers360 24th Jan, 2024

Correct Answer: Bromination


Solution : The correct option is Bromination.

Bromination is not a common technique for converting normal water to potable water. It is primarily used as a disinfectant in swimming pools, spas and industrial water treatment processes. While bromine can eliminate certain contaminants and pathogens, it is

15 Views

Question : What is the value of $\frac{1+\sin A}{\cos ^2 A}$?

Option 1: $\frac{1}{1-\sin A}$

Option 2: $\frac{1}{1+\sin A}$

Option 3: $\frac{1}{1+\cos A}$

Option 4: $\frac{1}{1-\cos A}$

Team Careers360 22nd Jan, 2024

Correct Answer: $\frac{1}{1-\sin A}$


Solution : $\frac{1+\sin A}{\cos ^2 A}$
= $\frac{1+\sin A}{1-\sin^2 A}$
= $\frac{1+\sin A}{(1-\sin A)(1+\sin A)}$
= $\frac{1}{1-\sin A}$
Hence, the correct answer is $\frac{1}{1-\sin A}$.

11 Views

Question : Directions: Find the missing number from the given responses.

Option 1: 30

Option 2: 40

Option 3: 32

Option 4: 50

Team Careers360 23rd Jan, 2024

Correct Answer: 50


Solution : Here, the fourth number in each column is the sum of the squares of the first three numbers.

First column: 32 + 22 + 12 = 9 + 4 + 1 = 14
Second column: 42 + 32 + 2

14 Views

Question : Select the most appropriate SYNONYM of the given word.

Fervour

Option 1: Apathy

Option 2: Hatred

Option 3: Enthusiasm

Option 4: Disgust

Team Careers360 22nd Jan, 2024

Correct Answer: Enthusiasm


Solution : The correct choice is the third option.

Enthusiasm accurately describes the fervent or ardent feeling that the word fervour denotes. Both terms express a high level of intensity and eagerness.

The meanings of the other options are as follows:

  • Apathy means a lack of interest,
23 Views

Question : Find the part of the given sentence that has an error in it. If there is no error, choose 'No error'.

If you doesn't have a doctor, contact your public health authority.

Option 1: your public health authority.

Option 2: a doctor, contact

Option 3: No error

Option 4: If you doesn't have

Team Careers360 24th Jan, 2024

Correct Answer: If you doesn't have


Solution : The correct choice is the fourth option.

Explanation:

The verb form used in the sentence is incorrect. The correct verb form to be used with "you" is "do". Thus, doesn't should be replaced with don't to make the sentence grammatically accurate.

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