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Staff Selection Commission Sub Inspector Exam

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Question : If Arun can complete $\frac{2}{3}$rd of a work in 12 days, then in how many days can he complete $\frac{1}{6}$ th of the same work?

Option 1: 3

Option 2: 4

Option 3: 5

Option 4: 2

Team Careers360 12th Jan, 2024

Correct Answer: 3


Solution : Given: Arun can do $\frac{2}{3}$rd of the work in 12 days.
Whole work = 1
Arun can complete the whole work in $=\frac{3×12}{2}=18$ days
Thus, $\frac{1}{6}$ th of the same work is completed = $\frac{1}{6}\times18= 3$ days
Hence, the correct answer is 3.

14 Views

Question : Which of the following countries was the runner-up in the ICC Women's T20 World Cup – 2020?

Option 1: India

Option 2: England

Option 3: Australia

Option 4: New Zealand

Team Careers360 22nd Jan, 2024

Correct Answer: India


Solution : The correct answer is India.

The seventh edition of the ICC Women's T20 World Cup took place in 2020. It was held in Melbourne, Australia, from February 21 to March 8, 2020. International Women's Day fell on the day of the final. Australia defeated

16 Views

Question : Directions: Select the option in which the numbers share the same relationship as that shared by the given pair of numbers.
(73, 78, 93)

Option 1: (67, 72, 82)

Option 2: (29, 34, 39)

Option 3: (23, 33, 38)

Option 4: (145, 150, 165)

Team Careers360 15th Jan, 2024

Correct Answer: (145, 150, 165)


Solution : Given:
(73, 78, 93)

Add 5 to the first number to get the second number and add 15 to the second number to get the third number –
⇒ (73, 78, 93) → 73 + 5 = 78, 78 + 15 = 93

19 Views

Question : If $p = 5 + 2\sqrt6$,  then  $\frac{\sqrt p - 1}{\sqrt p}$ is:

Option 1: $1 + \sqrt2 - \sqrt3$

Option 2: $1 - \sqrt2 + \sqrt3$

Option 3: $ - 1 + \sqrt2 - \sqrt3$

Option 4: $1 - \sqrt2 - \sqrt3$

Team Careers360 14th Jan, 2024

Correct Answer: $1 + \sqrt2 - \sqrt3$


Solution : $p = 5 + 2\sqrt{6}$
= $(\sqrt{3})^2 + (\sqrt{2})^2 + 2\sqrt{6}$
= $(\sqrt{3} + \sqrt{2})^2 $
Now, $\sqrt{p}=\sqrt{3} + \sqrt{2}$
So, $\frac{1}{\sqrt{p}} = \sqrt{3} - \sqrt{2}$ (by rationalisation)
Thus, $\frac{\sqrt{p} - 1}{\sqrt{p}} = \frac{\sqrt{p}}{\sqrt{p}} - \frac{{1}}{\sqrt{p}} = 1 - \frac{{1}}{\sqrt{p}}$
Putting

6 Views

Question : Directions: From the given answer figures, select the one in which the question figure is hidden/embedded.

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 20th Jan, 2024

Correct Answer:


Solution : Because there is no restriction on the rotation of the figure, we will check all the possible orientations of the question figure in which of the given option figures it can fit itself. By comparison of all option figures, the question figure is embedded only in

18 Views

Question : At a construction site, Raju can paint a wall in 36 hours, while Angad can do the same work in 18 hours. Sumit can paint the same wall in 24 hours. In how much time can they paint the wall if they all work together?

Option 1: 9 hours

Option 2: 12 hours

Option 3: 6 hours

Option 4: 8 hours

Team Careers360 15th Jan, 2024

Correct Answer: 8 hours


Solution : The rate at which Raju can paint the wall is $\frac{1}{36}$ of the wall per hour.
Similarly, the rates for Angad and Sumit are $\frac{1}{18}$ and $\frac{1}{24}$ of the wall per hour, respectively.
When they all work together, their combined rate is,
$\frac{1}{36} +

11 Views

Question : The Finance Commission is constituted by the President at the expiration of every ______ year.

Option 1: tenth

Option 2: seventh

Option 3: sixth

Option 4: fifth

Team Careers360 12th Jan, 2024

Correct Answer: fifth


Solution : The correct option is the fifth

The Finance Commission in India is constituted by the President at the expiration of every five years, or earlier, as per necessity. The Finance Commission is a constitutional body that plays a crucial role in recommending the distribution of

9 Views

Question : The next term of the sequence $\left (1+\frac{1}{2} \right):\left (1+\frac{1}{2} \right) \left (1+\frac{1}{3} \right): \left (1+\frac{1}{2} \right)\left (1+\frac{1}{3} \right)\left (1+\frac{1}{4} \right): .........$ is:

Option 1: $3$

Option 2: $\left (1+\frac{1}{5} \right)$

Option 3: $5$

Option 4: $\left (1+\frac{1}{2} \right)\left (1+\frac{1}{5} \right)$

Team Careers360 19th Jan, 2024

Correct Answer: $3$


Solution : Given sequence: $\left (1+\frac{1}{2} \right):\left (1+\frac{1}{2} \right) \left (1+\frac{1}{3} \right): \left (1+\frac{1}{2} \right )\left (1+\frac{1}{3} \right)\left (1+\frac{1}{4} \right): .........$
$T{_1}= 1+\frac{1}{2} = \frac{3}{2}$
$T{_2}= (1+\frac{1}{2})(1+\frac{1}{3}) = \frac{3}{2}\times \frac{4}{3}= 2$
$T{_3}= (1+\frac{1}{2})(1+\frac{1}{3})(1+\frac{1}{4}) = \frac{3}{2}\times \frac{4}{3}\times \frac{5}{4}= \frac{5}{2}$
$T{_4}= (1+\frac{1}{2})(1+\frac{1}{3})(1+\frac{1}{4})(1+\frac{1}{5}) = \frac{3}{2}\times \frac{4}{3}\times \frac{5}{4}\times \frac{6}{5}= 3$
Hence,

92 Views

Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it.

3 18 7
28 71 35
48 65 ?
60 108 98

Option 1: 21

Option 2: 14

Option 3: 23

Option 4: 72

Team Careers360 24th Jan, 2024

Correct Answer: 21


Solution : In a column of the given table, find the difference between the second and the third numbers and then multiply the resultant number by the first number to obtain the fourth number.

In the first column→(48 – 28) × 3 = 20 × 3 =

29 Views

Question : Directions: Which of the following numbers will replace the question mark (?) in the given series?
90, 110, 132, ?, 182

Option 1: 156

Option 2: 169

Option 3: 148

Option 4: 146

Team Careers360 23rd Jan, 2024

Correct Answer: 156


Solution : Given:
90, 110, 132, ?, 182

Add even numbers, starting from 20 to the previous term to obtain the missing term.
90 + 20 = 110; 110 + 22 = 132; 132 + 24 = 156; 156 + 26 = 182

So, 156 is the

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