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Staff Selection Commission Combined Higher Secondary Level Exam

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Question : The following pie chart shows the percentage distribution of school expenditure.

If the teacher's salary and rent together is INR 45 lakhs, then find the savings.

Option 1: INR 22,53,000

Option 2: INR 24,75,000

Option 3: INR 16,87,500

Option 4: INR 20,25,000

Team Careers360 26th Jan, 2024

Correct Answer: INR 20,25,000


Solution : The total sum of the teacher's salary and rent = INR 45 lakhs
$\therefore$ (15% + 25%) of school expenditure = 45,00,000
School expenditure = $\frac{100}{40}×4500000$ = 2.5 × 4500,000 = 1,12,50,000
$\therefore$ Savings = 18% of school expenditure = $\frac{18}{100}×11250000$ = 20,25,000
Hence,

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Question : Directions: How many triangles are there in the given figure?

Option 1: 20

Option 2: 21

Option 3: 22

Option 4: 24

Team Careers360 26th Jan, 2024

Correct Answer: 24


Solution : The given figure can be labelled as shown below –

In the above figure, there are 24 triangles. They are ABJ, AIJ, IJK, BJK, ILF, FLE, LEK, ILK, BCK, CKD, KDE, AHI, HIG, GIF, AIK, BIK, IEF, KFE, IKF, IKE, ABK, AIB, AKF, and BIE.

11 Views

Question : Who is credited with creating the popular raga 'Miya Ki Malhar'?

Option 1: Tansen

Option 2: Amir Khusrau

Option 3: Meerabai

Option 4: Zakir Hussain

Team Careers360 27th Jan, 2024

Correct Answer: Tansen


Solution : The correct answer is Tansen.

Sangeet Samrat Mian Tansen composed this raga in the sixteenth century. A monsoon raga known as Miya Ki Malhar is often used to welcome the monsoon and invoke rain, soaking the land. Tansen composed devotional scores for his life;

14 Views

Question : Lui Ngai Ni is a festival that is associated with which of the following states?

Option 1: Manipur

Option 2: Uttar Pradesh

Option 3: Uttarakhand

Option 4: Himachal Pradesh

Team Careers360 26th Jan, 2024

Correct Answer: Manipur


Solution : The correct option is Manipur.

Lui Ngai Ni is a festival associated with the state of Manipur. It is a major cultural celebration of the Naga tribes in Manipur, and it marks the onset of the seed-sowing season. The festival is characterised by vibrant

10 Views

Question : The pension of a High Court Judge is charge on the

Option 1: Public accounts of India

Option 2: Consolidated Fund of the state

Option 3: Public accounts of the state

Option 4: Consolidated fund of India

Team Careers360 26th Jan, 2024

Correct Answer: Consolidated fund of India


Solution : Correct answer is consolidated fund of India 

The pension of the High Court Judges is given from the consolidated of India. But the salaries and allowances of the judges of the high courts are charged on the consolidated fund of states where

14 Views

Question : Two circles with centres A and B touch each other externally, PQ is a direct common tangent which touches the circle at P and Q. If the radii of the circles are 9 cm and 4 cm, respectively, then the length of PQ (in cm) is equal to:

Option 1: 5

Option 2: 13

Option 3: 6.5

Option 4: 12

Team Careers360 26th Jan, 2024

Correct Answer: 12


Solution :
Let $r{_1}$​ and $r{_2}$​ be the radii of the two circles, and let $d$ be the distance between their centres.
In this case:
$d=r{_1}​+r{_2}$​
Given that the radii are 18 cm and 8 cm, we have:
$d=9+4=13\ \mathrm{cm}$
Now, the direct common tangent is the

14 Views

Question : From which country's constitution no feature has been taken in the constitution of India?

Option 1: United States of America

Option 2: Britain

Option 3: China

Option 4: France

Team Careers360 27th Jan, 2024

Correct Answer: China


Solution : The correct answer is China.

No feature has been taken from China in the Indian Constitution. The spirit and content of the Indian Constitution are distinct. It did, however, inherit many of the best elements from past international constitutions. India's constitution stands out from that

22 Views

Question : For real $a, b, c$ if $a^2+b^2+c^2=ab+bc+ca$, then value of $\frac{a+c}{b}$ is:

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 0

Team Careers360 27th Jan, 2024

Correct Answer: 2


Solution : Given: $a^{2} + b^{2} + c^{2} = (ab+bc+ca)$
⇒ $a^{2} + b^{2} + c^{2} - (ab+bc+ca)=0$
Since : $a^2+b^2+c^2-ab-bc-ca = \frac{1}{2}[(a-b)^2+(b-c)^2+(c-a)^2]$
So, $a^2+b^2+c^2-ab-bc-ca = \frac{1}{2}[(a-b)^2+(b-c)^2+(c-a)^2]=0$
⇒ $a=b=c $
So, $\frac{a+c}{b} = \frac{a+a}{a} = 2$
Hence, the correct answer is 2.

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