Staff Selection Commission Combined Higher Secondary Level Exam
Question : $\triangle$XYZ is right angled at Y. If $\cos X=\frac{3}{5}$, then what is the value of $\operatorname{cosec}Z$?
Option 1: $\frac{3}{4}$
Option 2: $\frac{5}{3}$
Option 3: $\frac{4}{5}$
Option 4: $\frac{4}{3}$
Correct Answer: $\frac{5}{3}$
Solution : Given: $\triangle$XYZ is right-angled at Y and $\cos X=\frac{3}{5}$ Since $\triangle$XYZ is right-angled at Y, So, X + Z = 90° ⇒ X = 90° – Z Now, $\cos X=\frac{3}{5}$ ⇒ $\cos(90°–Z)=\frac{3}{5}$ ⇒ $\sin Z=\frac{3}{5}$ $\therefore\operatorname{cosec}Z=\frac{5}{3}$ [$\because$ $\operatorname{cosec}Z=\frac{1}{\sin Z}$] Hence, the correct answer is $\frac{5}{3}$.
Question : Balban served as naib to which of the following sultans of Delhi?
Option 1: Iltutmish
Option 2: Razia sultan
Option 3: Nasiruddin Mahmud
Option 4: Qutb ud-Din Aibak
Correct Answer: Nasiruddin Mahmud
Solution : The correct option is Nasiruddin Mahmud.
Nasiruddin Mahmud was one of the sultans of Delhi, to whom Ghiyas ud din Balban served as the naib (deputy). His reign marked the early phase of the Tughlaq dynasty's rule. Mahmud was initially a puppet ruler with
Question : Which of the following is not included in 'Operating Surplus'?
Option 1: Rent
Option 2: Profit
Option 3: Interest
Option 4: Wages in cash
Correct Answer: Wages in cash
Solution : The correct answer is Wages in cash.
"Wages in cash" is not typically included in 'Operating surplus'. Operating surplus is a measure of the surplus or profit by a business or organization after accounting for various costs, and expenses, such as rent,
Question : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank. A pathogen is a 1_____________, virus, parasite, or fungus that can cause disease within the body. Each pathogen is made up of several subparts, usually unique to that specific pathogen and the 2_____________ it causes. The subpart of a pathogen that causes the formation of antibodies is called an 3________. The antibodies produced in response to the pathogen’s antigen are an important part of the 4___________ system. You can consider antibodies as the 5_______ in your body’s defence system. Question: Select the most appropriate option to fill in the blank number 1.
Option 1: bacterium
Option 2: medicine
Option 3: potion
Option 4: solution
Correct Answer: bacterium
Solution : The correct choice is the first option.
A "bacterium" is a single-celled microorganism that belongs to the domain of bacteria.
Therefore, the correct sentence should be: "A bacterium is a microorganism, virus, parasite, or fungus that can cause disease within the body."
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence.
The performance of the musicians was rather worst than expected by the audience.
Option 1: worst than expectation
Option 2: worse was expected
Option 3: worse than expected
Option 4: bad as expected
Correct Answer: worse than expected
Solution : The third option is the correct answer.
The comparative form worse than expected is the correct way to express a level of performance that falls below what was anticipated. In English, when making a comparison, the correct structure is worse than when comparing
Question : Select the most appropriate option to fill in the blank.
While one cannot really say the pandemic is over yet, it is a sensible decision to now ________ to the older system.
Option 1: sympathise
Option 2: comprehend
Option 3: revert
Option 4: stick
Correct Answer: revert
Solution : The correct choice is the third option.
Explanation:
The word revert means to return to the previous state. It helps convey the sentence's intended meaning that the pandemic may not be over now fully, but it is the right time to return to the
Question : 4 men and 7 women can do work in 8 days. 7 men and 4 women can do the same work in 5 days. Find the number of days in which 8 women can finish the work.
Option 1: 60 days
Option 2: 55 days
Option 3: 40 days
Option 4: 45 days
Correct Answer: 55 days
Solution : 4 men and 7 women can do 1 unit of work in 8 days. $⇒4m + 7w = \frac{1}{8}$ ____(i) where $m$ and $w$ are the efficiencies of a man and 1 woman respectively. 7 men and 4 women can do 1 unit of
Question : Comprehension:
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
Unemployment arises from a variety of_____ (1). One which is always recurring and the effects of which we have had a recent example is the disorganisation of the industry resulting from a long war, this is a serious______ (2) admitting of no easy ________(3) at the best of times. Again there is unemployment which followed a marked diminution in the______ (4) of any raw product, such as cotton; fewer hands are required in the mills and the factories. We may call this the cause of bad harvests. Similar, but more serious is the effect of changes in industry due to the invention of machinery which does more work and requires________ (5) hands. Yet another cause is strike or lockout and this is more to be deplored because such a stoppage is due to a very trivial matter, perhaps the men are working half an hour longer than what their Union permits.
Select the most appropriate option to fill in the blank number 5.
Option 1: fewer
Option 2: more
Option 3: many
Option 4: a lot of
Correct Answer: fewer
In the context of the sentence, the phrase "machinery does more work and requires" indicates a reduction in the number of hands needed for the work due to the efficiency of machinery. The correct term to use is
Question : The table given below shows the number of students studying in different streams of a particular college.
Find the ratio of the average number of students studying science in the given years to the total strength of students studying in the year 2022.
Option 1: 7 : 22
Option 2: 35 : 22
Option 3: 22 : 7
Option 4: 22 : 35
Correct Answer: 7 : 22
Solution : The average number of students studying science in the given years = $\frac{(78 + 69 + 83 + 55 + 65)}{5}$ = $\frac{350}{5}$ = 70 The total strength of students studying in the year 2022 = (76 + 65 + 48 + 31)
Question : Comprehension: In the following passage, some of the words have been deleted. Read the passage carefully and select the correct answer for the given blank out of the four alternatives.
Improving your well-being is considered to be the fundamental (1) ______of travelling. Travelling helps to decrease the risks of heart disease and anxiety (2)______developing our brain health. There have been studies proving that travel can have a positive impact on our heart (3) ______. The health benefit of travelling is that when you travel to new surroundings you (4) ______a restart button to your body and mind. This brings in fresh energy when you get back to your normal (5) ______ activities.
Select the most appropriate option to fill in the blank number 2.
Option 1: as
Option 2: because
Option 3: so
Option 4: while
Correct Answer: while
Solution : The fourth option is correct.
While is most commonly used as a conjunction. As a conjunction, it is usually used to refer to time.
In the sentence, the conjunction "while" is connecting the information about the brain and how to develop its health.
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