Staff Selection Commission Combined Higher Secondary Level Exam
Question : Comprehension:
In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each blank.
Unemployment is a major issue in India that (1)________millions of people across the country. Despite being one of the fastest-growing economies in the world, India has struggled to create (2)________jobs to keep up with its rapidly expanding population. The unemployment rate in India varies widely (3)________ different states and regions. Young people, in particular, face significant challenges in finding employment. Many are highly educated but lack the skills and experience needed to (4)________ in a highly competitive job market. There are many factors contributing to the high levels of unemployment in India. Some of these include a lack of investment in infrastructure, a mismatch between the skills of workers and the needs of employers, and a lack of access to finance for small and medium-sized businesses. The Indian government has launched several initiatives to address the issue of unemployment in the country. These include programs to support small businesses, increase investment in infrastructure and provide vocational training to young people. However, much more needs to be done to create sustainable, long-term employment opportunities for all Indians. Unemployment can have serious social and economic consequences, including poverty, crime and social (5)________.
Select the most appropriate option to fill in blank no. 1.
Option 1: compromises
Option 2: effects
Option 3: controls
Option 4: affects
Correct Answer: affects
Solution : The correct answer is the fourth option.
This word fits the context best because it signifies the impact or influence of unemployment on millions of people across India. "Affects" means it brings about a change or causes an impact on something or someone.
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".
There is no more (accommodation) for you on this bus.
(1) room
(2) seat
(3) space
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The second option is the correct choice.
This is because "accommodation" should be replaced with "seat" which is the correct noun to be used in the context of the sentence conveying that there is no available space or seating on the bus.
Therefore, the correct
Question : The heat treatment applied to milk before distribution to stabilize and to remove disease causing bacteria is called as :
Option 1: Pasteurisation
Option 2: Fermentation
Option 3: Coagulation
Option 4: Homogenisation
Correct Answer: Pasteurisation
Solution : The correct option is Pasteurisation.
The heat treatment performed to milk before to distribution to stabilise it and eradicate disease-causing microorganisms is referred to as "pasteurisation." Pasteurisation is a procedure named after the nineteenth-century French scientist Louis Pasteur. Pasteurization's major purpose is to heat milk
Question : Directions: Select the option in which the number pair shares the same relationship as that shared by the following number pair. 15 : 210
Option 1: 16 : 224
Option 2: 14 : 196
Option 3: 22 : 462
Option 4: 13 : 239
Correct Answer: 22 : 462
Solution : Given: 15 : 210
Like, 15 : 210→15 × (15 – 1) = 15 × 14 = 210 Let's check the options – First option: 16 : 224→16 × (16 – 1) = 16 × 15 = 240 ≠ 224 Second option: 14
Question : If $\sin \theta \cos \theta=\frac{\sqrt{2}}{3}$,then the value of $\left(\sin ^6 \theta+\cos ^6 \theta\right)$ is:
Option 1: $\frac{1}{3}$
Option 2: $\frac{4}{3}$
Option 3: $\frac{2}{3}$
Option 4: $\frac{5}{3}$
Correct Answer: $\frac{1}{3}$
Solution : Given: $\sin \theta \cos \theta=\frac{\sqrt{2}}{3}$ $\left(\sin ^6 \theta+\cos ^6 \theta\right)=(\sin^2 \theta +\cos^2 \theta)(\sin^4 \theta + \cos^4 \theta-\sin^2 \theta\cos^2 \theta)$ ⇒ $\left(\sin ^6 \theta+\cos ^6 \theta\right)=(\sin^2 \theta +\cos^2 \theta)((\sin^2 \theta + \cos^2 \theta)^2-3\sin^2 \theta\cos^2 \theta)$ ⇒ $\left(\sin ^6 \theta+\cos ^6 \theta\right)=(1)((1)^2-3(\frac{\sqrt{2}}{3})^2)$ ⇒ $\left(\sin ^6 \theta+\cos ^6
Question : If $\sec \beta+\tan \beta=2$, then what is the value of $\cot \beta$?
Option 1: $\frac{5}{3}$
Option 2: $\frac{3}{5}$
Option 3: $\frac{4}{3}$
Option 4: $\frac{3}{4}$
Correct Answer: $\frac{4}{3}$
Solution : Given: $\sec \beta+\tan \beta=2$..........(1) We know that $\sec^2 \beta-\tan^2 \beta=1$ ⇒ $(\sec \beta-\tan \beta)(\sec \beta+\tan \beta)=1$ ⇒ $(\sec \beta-\tan \beta)=\frac{1}{2}$...............(2) Subtracting equation (2) from equation (1), we get: ⇒ $2\tan\beta=2-\frac{1}{2}=\frac{3}{2}$ ⇒ $\tan\beta= \frac{3}{4}$ $\therefore \cot\beta=\frac{4}{3}$ Hence, the correct answer is $\frac{4}{3}$.
Question :
Directions: In the following question, select the related number from the given alternatives. 7 : 24 :: ? : ?
Option 1: 30 : 100
Option 2: 23 : 72
Option 3: 19 : 58
Option 4: 11 : 43
Correct Answer: 23 : 72
Solution : Given: 7 : 24 :: ? : ?
Like, 7: 24→(7 × 3) + 3= 21 + 3 = 24 Let's check the options – First option: 30 : 100; (30 × 3) + 3 = 90 + 3 = 93 ≠ 100
Question : Directions: Select the option figure in which the given figure is embedded. (rotation is NOT allowed)
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of all the option figures, the given question figure is embedded only in the third option figure.
Hence, the third option is correct.
Question : If p + q = 12 and pq = 14, then find the value of p2 – pq + q2.
Option 1: 192
Option 2: 181
Option 3: 102
Option 4: 144
Correct Answer: 102
Solution : Given: $p + q = 12$ and $pq = 14$ Squaring both sides, we get, $(p + q)^2 = 12^2$ ⇒ $p^2 + 2pq + q^2=144$ ⇒ $p^2 + 2\times14 + q^2=144$ ⇒ $p^2 + q^2 =144- 28$ ⇒ $p^2 + q^2 =116$ $\therefore p^2+q^2-pq=116-14=102$
Question : Blowing air with open pipe is an example of:
Option 1: Isothermal process
Option 2: Isochronic process
Option 3: Isobaric process
Option 4: Adiabatic process
Correct Answer: Isobaric process
Solution : The correct option is the Isobaric process.
When air is blown through an open pipe, it represents an isobaric process. This is because the open end maintains an equal pressure inside and outside, which ensures constant pressure. Although the volume changes as the
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