Staff Selection Commission Combined Higher Secondary Level Exam
Question : The bar graph given below shows the salary of 6 employees of a company. What is the ratio of the salary of J to the salary of M?
Option 1: 4 : 3
Option 2: 3 : 4
Option 3: 2 : 5
Option 4: 5 : 7
Correct Answer: 3 : 4
Solution : The salary of J = 75 The salary of M = 100 Required ratio = 75 : 100 = 3 : 4 Hence, the correct answer is 3 : 4.
Question : Identify the incorrect equation.
Option 1: Revenue receipts = Tax revenue (net of State's share) less non-tax revenue
Option 2: Gross fiscal deficit = Total expenditure - (Revenue receipts + Non-debt creating capital receipts)
Option 3: Gross primary deficit = Gross fiscal deficit - Net interest liabilities
Option 4: Revenue deficit = Revenue expenditure - revenue receipts
Correct Answer: Revenue receipts = Tax revenue (net of State's share) less non-tax revenue
Solution : The correct answer is Revenue receipts = Tax revenue (net of State's share) less non-tax revenue.
The accurate equation is Revenue receipts = Tax revenue (net of State's share) + Non-tax revenue. Revenue receipts
Question : Two circles of radii 5 cm and 3 cm touch externally. The ratio in which the direct common tangent to the circles divides externally the line joining the centres of the circles is:
Option 1: 5 : 3
Option 2: 2 : 5
Option 3: 5 : 1
Option 4: 3 : 8
Correct Answer: 5 : 3
Solution : Given: Two circles of radii 5 cm and 3 cm touch externally. Let, the circle with centre A has a radius OA = 5 cm and the circle with centre C has a radius OC = 3 cm So, the direct common tangent
Question : Earth Day is celebrated on
Option 1: April 4
Option 2: April 22
Option 3: September 17
Option 4: February 16
Correct Answer: April 22
Solution : The correct answer is April 22.
April 22nd is designated as Earth Day. It's a global occasion that raises awareness of environmental issues and motivates people to take action to protect the environment. Since its founding in 1970, Earth Day has grown to become
Question : ____________ states that the rates of diffusion of gases are inversely proportional to the square roots of their densities under similar conditions of temperature and pressure.
Option 1: Tyndall's Law
Option 2: Pascal's Law
Option 3: Graham's Law
Option 4: Kepler's Law
Correct Answer: Graham's Law
Solution : The correct option is Graham's Law.
Graham's law states that the rates of diffusion or effusion of gases are inversely proportional to the square roots of their molar masses (or densities) under similar conditions of temperature and pressure. This law was formulated by
Question : Which of the following awards was presented to Guru Bipin Singh, a popular Manipuri dancer?
Option 1: Saraswati Samman
Option 2: Kalamandal Puraskar
Option 3: Sangeet Natak Akademi Award
Option 4: Padma Shri
Correct Answer: Sangeet Natak Akademi Award
Solution : The correct option is the Sangeet Natak Akademi Award.
Guru Bipin Singh, a renowned Manipuri dancer, was honoured with the Sangeet Natak Akademi Award. This award is one of the highest recognitions in the field of performing arts in India. Guru
Question : Direction: Study the following bar graph and answer the question :
The average production of 1996 and 1997 is exactly equal to the average production of the years.
Option 1: 1995 and 2001
Option 2: 1995 and 1999
Option 3: 1999 and 2000
Option 4: 2000 and 2001
Correct Answer: 1995 and 2001
Solution : Average production (in 10000 tonnes) of 1996 and 1997 = $\frac{40+60}{2}$ = 50 We shall find the average production (in 10000 tonnes) for each of the given alternative pairs: Average production (in 10000 tonnes) of 2000 and 2001 = $\frac{50+75}{2}$ = 62.5 Average
Question : Which one of the following films directed by Satyajit Ray is based on the story Nastanirh written by Rabindranath Tagore?
Option 1: Aparajita
Option 2: Charulata
Option 3: Pather Panchali
Option 4: Apur Sansar
Correct Answer: Charulata
Solution : The correct answer is Charulata.
Bhupati is a newspaper editor who has little to no time for his beautiful wife, Charulata. The focus of the movie is Bhupati (Sailen Mukherjee) and his wife Charulata (Madhabi Mukherjee). Satyajit Ray wrote and directed the drama film
Question : Select the most appropriate ANTONYM of the word in brackets to fill in the blank.
The gentle lapping of waves ________ (for) the shore was the only thing that could be heard.
Option 1: across
Option 2: beneath
Option 3: pro
Option 4: against
Correct Answer: against
Solution : The correct choice is the fourth option.
The antonym of for is against.
In this context, "for" suggests a supportive or favourable direction, while "against" implies a motion or force directed toward the shore, aligning with the description of waves lapping against the shore.
Question : If $\sin (\theta +18^{\circ})=\cos 60^{\circ}(0< \theta < 90^{\circ})$, then the value of $\cos 5\theta$ is:
Option 1: $\frac{1}{2}$
Option 2: $0$
Option 3: $\frac{1}{\sqrt{2}}$
Option 4: $1$
Correct Answer: $\frac{1}{2}$
Solution : $\sin (\theta +18^{\circ})=\cos 60^{\circ}$ We know that $\cos (90^{\circ}-\theta)=\sin\theta$ $⇒\sin (\theta +18^{\circ})=\cos(90^{\circ}-30^{\circ})$ $⇒\sin (\theta +18^{\circ})=\sin30^{\circ}$ $⇒\theta +18^{\circ}=30^{\circ}$ $⇒\theta=12^{\circ}$ $\therefore \cos 5\theta=\cos 5×12^{\circ}=\cos 60^{\circ}=\frac{1}{2}$ Hence, the correct answer is $\frac{1}{2}$.
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