Staff Selection Commission Combined Higher Secondary Level Exam
Question : Directions: How many triangles are there in the given figure?
Option 1: 6
Option 2: 7
Option 3: 5
Option 4: 4
Correct Answer: 7
Solution : The given figure can be labelled as shown below –
There are a total of 7 triangles in the given figure. They are HIG, ABE, ADC, BCF, DEF, FEG, DFG.
Hence, the second option is correct.
Question : Raman sells a machine for Rs 39 lakhs at a loss. Had he sold it for Rs 49 lakhs, his gain would have been three times the loss. What is the cost price of the machine?
Option 1: Rs. 46.5 lakhs
Option 2: Rs. 62 lakhs
Option 3: Rs. 36.50 lakhs
Option 4: Rs. 41.50 lakhs
Correct Answer: Rs. 41.50 lakhs
Solution : Given, that Raman sells a machine for Rs. 39 lakhs at a loss. Had he sold it for Rs. 49 lakhs, his gain would have been three times the loss. Let the cost price be Rs. $x$. Hence, $3\times (x-39)={49-x}$ ⇒ $3x(x-39)=x(49-x)$ ⇒
Question : When did the rule of the Delhi Sultanate begin?
Option 1: 1106 AD
Option 2: 1206 AD
Option 3: 1306 AD
Option 4: 1406 AD
Correct Answer: 1206 AD
Solution : The correct answer is 1206 AD.
Muhammad Ghori died in 1206. The first dynasty of Delhi Sultans was founded by his loyal and slave Qutb ud-Din Aibak (also known as Aibak) in 1206. Qutb ud-Din Aibak is considered to be the first ruler of
Question : If $\tan\theta+\sec\theta=3$, $\theta$ being acute, the value of $5\sin\theta$ is:
Option 1: $\frac{5}{2}$
Option 2: $\frac{\sqrt{3}}{5}$
Option 3: $\frac{5}{\sqrt{3}}$
Option 4: $4$
Correct Answer: $4$
Solution : Given: $\theta$ being acute. $⇒\tan\theta+\sec\theta=3$ ... (1) We know the identity, $⇒\sec^2\theta-\tan^2\theta=1$ $⇒(\tan\theta+\sec\theta)( \sec\theta-\tan\theta)=1$ $⇒\sec\theta-\tan\theta=\frac{1}{3}$ ... (2) Solving equation (1) and (2), $⇒2\sec\theta=3+\frac{1}{3}$ $⇒2\sec\theta=\frac{10}{3}$ $\therefore\sec\theta=\frac{5}{3}$ $⇒\cos \theta=\frac{3}{5}$ $⇒ {\sin \theta=\sqrt{1-\cos^2\theta}=\sqrt{1-\frac{9}{25}}=\sqrt{\frac{16}{25}}=\frac{4}{5}}$ $\therefore 5\sin \theta=5×\frac{4}{5}=4$ Hence, the correct answer is $4$.
Question : An ordinance issued by the Governor has to be passed by the assembly within
Option 1:
8 weeks
Option 2:
10 weeks
Option 3:
12 weeks
Option 4: 6 weeks
Correct Answer: 6 weeks
Solution : The correct answer is 6 weeks.
According to the Constitution of India, the governor of a state has the authority to promulgate an ordinance. However, the ordinance must be approved by the State Assembly within 6 weeks of reconvening, otherwise, it will be invalid.
Question : Zeenat and Nasreen participate in a circular race of 1.2 km. They start the race at a speed of 18 km/hr and 27 km/hr respectively, from the same point at the same time. After how much time (in minutes) will they meet at the starting point for the first time, if they are running in the same direction?
Option 1: 9
Option 3: 10
Option 4: 8
Correct Answer: 8
Solution : Length of circular race = 1.2 km = 1200 m The speeds of Zeenat and Nasreen are 18 km/hr and 27 km/hr respectively. Relative speed of both in same direction = 27 – 18 = 9 km/hr = $9×\frac{5}{18}$ = 2.5 m/s So, time taken
Question : Classification of 100 students based on the marks obtained by them in Mathematics and Physics in an examination is given below.
How many students have got marks less than 10 in Mathematics?
Option 1: 8
Option 2: 19
Option 3: 12
Option 4: 20
Solution : As per the given table, The number of students who have scored 10 and above in Mathematics = 92 The total number of students = 100 The number of students who have scored less than 10 in Mathematics = 100 – 92 = 8 students
Question : A man borrows Rs. 4,000 from a bank at 10% per annum simple interest and clears the debt in three years. If the instalments paid at the end of the first, and second year to clear the debt are Rs. 1,500, and Rs. 2,500, respectively, what amount (in Rs.) should be paid at the end of the third year to clear the debt?
Option 1: 700
Option 2: 650
Option 3: 500
Option 4: 550
Correct Answer: 650
Solution : For the first year, Principal, P = Rs. 4000 Rate, R = 10% Time, T = 1 year Simple interest = $\frac{\text{P} \times \text{R} \times \text{T}}{100}$ = $\frac{4000 \times 10 \times 1}{100}$ = Rs. 400 Remaining amount after the installment is paid = Rs. 4000
Question : The Finance Commission in India is appointed by
Option 1: Prime Minister of India
Option 2: President of India
Option 3: Chairman of Rajya Sabha
Option 4: Speaker of Lok Sabha
Correct Answer: President of India
Solution : The Correct Answer is- President of India
According to Article 280, the Finance Commission is a constitutional entity. A Finance Commission must be appointed by the Indian President every five years or sooner. It serves as a constitutional body that distributes certain revenue
Question : As per the following result of the 2011 census, the density of population in India is
Option 1: 325 per sq km
Option 2: 352 per sq km
Option 3: 372 per sq km
Option 4: 382 per sq km
Correct Answer: 382 per sq km
Solution : The correct answer is 382 per sq km.
Population density is a metric used to measure the number of people or species present within a geographical area. It is calculated by dividing number of persons present by the total geographical area. According
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