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Staff Selection Commission Combined Graduate Level Exam

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Question : Simplify the following expression:
[$\sqrt{25}$ + 12 ÷ 3 – {20 + (16 of 8 ÷ 16) – (54 ÷ 18 of $\frac{1}{2}$}]

Option 1: –13

Option 2: 12

Option 3: 22

Option 4: 0

Team Careers360 21st Jan, 2024

Correct Answer: –13


Solution : [$\sqrt {25}$ + 12 ÷ 3 – {20 + (16 of 8 ÷ 16) – (54 ÷ 18 of $\frac{1}{2}$)}]
= [5 + 12 ÷ 3 – {20 + (128 ÷ 16) – (54 ÷ 9)}]
= [5 + 12 ÷ 3 – {20 +

13 Views

Question : The term ''Doab'' means

Option 1: a\; land\; between\; two\; mountains

 

 

 

Option 2: a\; land\; between\; two\; lakes

Option 3: a\; land\; between\; two\; rivers

Option 4: a\; land\; between\; two\; seas

Team Careers360 18th Jan, 2024

Correct Answer: a\; land\; between\; two\; rivers


Solution : The correct answer is the land between two rivers. 

Land between the confluence of two rivers is called Doab. Usually they are the most agriculturally fertile region. Example- Ganga Yamuna Doab, Raichur Doab, etc. 

Additional information-

Largest doab in the world in Sindh Sagar doab which

11 Views

Question : The police of which state/UT launched the Anubhuti, a QR code-based feedback system in February 2022?

Option 1: Madhya Pradesh

Option 2: Goa

Option 3: Maharashtra

Option 4: Delhi

Team Careers360 21st Jan, 2024

Correct Answer: Delhi


Solution : The correct answer is Delhi.

On February 28, 2012, the Delhi Police unveiled e-Chittha, a revamped website, and Anubhuti, a QR code-based feedback system. The e-Chittha platform would facilitate the deployment of duties for the Delhi Police.

7 Views

Question : Direction: In the following question, out of four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".

Balanced diet (comprises of water), roughage and other nutritional values.

  1. comprises water
  2. comprises of water
  3. comprised of water
  4. No Improvement

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 4

Team Careers360 16th Jan, 2024

Correct Answer: 1


Solution : The appropriate answer is the first option as there's an error in the usage of the preposition. In this sentence, the preposition 'of' should not be used with 'comprises' which means 'composed of' thus not conveying the proper meaning.

Therefore, the correct statement should be

9 Views

Question : If $x=222, y=223$ and $z=224$, then find the value of $x^3+y^3+z^3-3 x y z$.

Option 1: 2007

Option 2: 2004

Option 3: 2006

Option 4: 2005

Team Careers360 16th Jan, 2024

Correct Answer: 2007


Solution : $x^3 + y^3 +z^3-3xyz=\frac{1}{2}(x+y+z)[(x-y)^2+(y-z)^2+(z-x)^2]$
$= (\frac{1}{2})(222+ 223 + 224)[(222-223)^2 + (223-224)^2 + (224-222)^2]$
$= (\frac{1}{2})(669)[(1)+(1) + (4)]$
$= 3\times 669 = 2007$
Hence, the correct answer is 2007.

22 Views

Question : The ratio of candidates passing and failing within the State.

State A B C
No. of Students
(in lakh)
1.50 1.40 1.75

 

State Passing : Falling
A 6 : 5
B 3 : 4
C 8 : 2

What is the number of passing students in State B?

Option 1: 0.6 lakh

Option 2: 0.7 lakh

Option 3: 0.4 lakh

Option 4: 0.3 lakh

Team Careers360 25th Jan, 2024

Correct Answer: 0.6 lakh


Solution : Total number of students in state B = 1.4 lakh
The ratio of passing and failing in state B = 3 : 4
Number of student passed in state B $= \frac{3}{(3+4)} \times 1.40$ lakh
= 0.6 lakh
Hence, the correct answer is 0.6

50 Views

Question : Number p is 15% more than 150. If k is 15% less than p, then k is equal to:

Option 1: 136.324

Option 2: 166.625

Option 3: 116.328

Option 4: 146.625

Team Careers360 23rd Jan, 2024

Correct Answer: 146.625


Solution : Given that $p$ is 15 % more than 150, we can calculate p as follows:
$p = 150 + (\frac{15}{100}\times150)= 172.5$
Now, $k$ is 15% less than $p$
$k = p - (\frac{15}{100}\times p)$
$= 172.5 - (\frac{15}{100}\times172.5)= 146.625$
Hence, the correct answer is 146.625.

38 Views

Question : A and B enter into a partnership with capital in the ratio 5: 6. After 4 months, A withdraws $\frac{1}{5}$ of his capital, while B increases his capital by $33 \frac{1}{3} \%$, What is the share (in INR lakhs) of B in the annual profit of INR 6.3 lakhs?

Option 1: 2.34

Option 2: 3.96

Option 3: 2.61

Option 4: 3.69

Team Careers360 18th Jan, 2024

Correct Answer: 3.96


Solution : Let money invests by A and B be $5x$ and $6x$
Total money invests by A in first 4 months = $5x \times 4 = 20x$
Total money invests by B in first 4 months = $6x \times 4 = 24x$
According to the question,

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