Instruction
- Total number of questions : 20
- Time allotted : 30:00 Minutes:Seconds.
- Each question carry 1 mark, no negative marks.
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Quantitative Aptitude [ Question No: 1 To 4 ] :
In a pentagon ABCDE, \(\angle A = (2x + 9^\circ)\), \(\angle B = (2x + 1^\circ)\), \(\angle C = (2x - 1^\circ)\), \(\angle D = (2x + 5^\circ)\) and \(\angle E = (2x - 4^\circ)\). Then, value of \((2x + 10^\circ)\) is :
The area of the curved surface of a right circular cylinder is 4400 cm2 and the circumference of its base is 110 cm. Its volume (in m3) is : \(\left(\text{Use } \pi = \frac{22}{7}\right)\)
If \(\sin A = 1/2\), then the value of \(\cot A\) is:
A sum of money invested at compound interest amounts to Rs. 800 in 3 years and to Rs. 840 in 4 years. The rate of interest per annum is
English Language [ Question No: 5 To 9 ] :
Direction for [ Question No: 5 To 5 ] :
Which of phrases given below each sentence should replace the phrase printed in bold type to make the grammatically correct?
Direction for [ Question No: 6 To 6 ] :
Find the correctly spelt words.
Direction for [ Question No: 7 To 7 ] :
In each of the following questions, out of the given alternatives,choose the one which best expresses the meaning of the given word.
Which one of the following options is the closest in meaning to the word given below?
Latitude
Select the most appropriate option to fill in the blanks.
Each of us comes into this world with particular sets of strengths and ______. Since these are more than ______ not going to go away, we should embrace them by finding compassionate understanding for the imperfections.
General Awareness / General Knowledge (GK) [ Question No: 10 To 18 ] :
Who was the first Viceroy of India ?
Which one of the following is not a biospheric reserve?
Platinum Jubilee Celebration refers to the anniversary of
Which of the following options about Reaction I (R1) and Reaction II (R2) are correct ?
Reaction I (R1) : Reaction of slaked lime with carbon dioxide
Reaction II (R2) : Heating of calcium bicarbonate
In which indian city Tower of Silence is located ?
Genoa is leading seaport of:
Engineering Mathematics [ Question No: 19 To 19 ] :
One of these four statements about the mean value theorem fails. Which is it?
Current Affairs [ Question No: 20 To 20 ] :
In October 2021, which state launched the programme named 'Swechha' to tackle the stigma attached to menstruation, prioritise female personal hygiene and encourage a healthy dialogue of information?
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20
Quantitative Aptitude [ Question No: 1 To 4 ] :
In a pentagon ABCDE, \(\angle A = (2x + 9^\circ)\), \(\angle B = (2x + 1^\circ)\), \(\angle C = (2x - 1^\circ)\), \(\angle D = (2x + 5^\circ)\) and \(\angle E = (2x - 4^\circ)\). Then, value of \((2x + 10^\circ)\) is :
Your Answer : (Not Answered)
Correct Answer : C
The value of \((2x + 10^\circ)\) is 116°.
The interior angles of a pentagon add up to \((5 - 2) \times 180^\circ = 540^\circ\).
\[ \begin{aligned} 10x + (9 + 1 - 1 + 5 - 4)^\circ &= 540^\circ \\ 10x + 10^\circ &= 540^\circ \\ x &= 53^\circ \end{aligned} \]
So \(2x + 10^\circ = 106^\circ + 10^\circ = 116^\circ\). The other three values would each need a different x, and none of those makes the five angles add up to 540°.
The area of the curved surface of a right circular cylinder is 4400 cm2 and the circumference of its base is 110 cm. Its volume (in m3) is : \(\left(\text{Use } \pi = \frac{22}{7}\right)\)
Your Answer : (Not Answered)
Correct Answer : B
The volume is 0.0385 m3.
Find the radius from the circumference and the height from the curved surface area:
\[ \begin{aligned} 2\pi r &= 110 \Rightarrow r = \frac{110 \times 7}{44} = 17.5\ \text{cm} \\ 2\pi r h &= 4400 \Rightarrow h = \frac{4400}{110} = 40\ \text{cm} \end{aligned} \]
\[ \begin{aligned} V &= \pi r^{2} h = \frac{22}{7} \times 17.5^{2} \times 40 \\ &= 38500\ \text{cm}^{3} = 0.0385\ \text{m}^{3} \end{aligned} \]
1 m3 is 1,000,000 cm3; the other options are close distractors that do not equal 38,500 cm3.
If \(\sin A = 1/2\), then the value of \(\cot A\) is:
Your Answer : (Not Answered)
Correct Answer : A
If \(\sin A = 1/2\), then A = 30°.
We need to find the value of \(\cot 30°\).
\(\cot A = \frac{\cos A}{\sin A}\). We know \(\cos 30° = \frac{\sqrt{3}}{2}\).
\(\cot 30° = \frac{\sqrt{3}/2}{1/2} = \sqrt{3}\).
A sum of money invested at compound interest amounts to Rs. 800 in 3 years and to Rs. 840 in 4 years. The rate of interest per annum is
Your Answer : (Not Answered)
Correct Answer : C
\[ A = P\left(1 + \frac{R}{100}\right)^{n}, \qquad \text{CI} = A - P, \qquad \text{SI} = \frac{PRn}{100} \]
The jump from year 3 to year 4 is one year's growth on the year-3 amount.
\[ \frac{840}{800} = 1 + \frac{R}{100} = 1.05 \]
\[ R = 5\% \]
Equivalently, the Rs. 40 earned in the fourth year is 5% of the Rs. 800 standing at the start of it. No principal or time is needed - only the ratio of two consecutive amounts.
English Language [ Question No: 5 To 9 ] :
Direction for [ Question No: 5 To 5 ] :
Which of phrases given below each sentence should replace the phrase printed in bold type to make the grammatically correct?
Your Answer : (Not Answered)
Correct Answer : D
No improvement is required.
Take it to heart is the idiom for being hurt by something. The preposition is to and the noun takes no article.
Direction for [ Question No: 6 To 6 ] :
Find the correctly spelt words.
Your Answer : (Not Answered)
Correct Answer : A
It is grief.
I before e except after c: grief, brief, believe and receive all follow the rule, and the three wrong options all break it.
Direction for [ Question No: 7 To 7 ] :
In each of the following questions, out of the given alternatives,choose the one which best expresses the meaning of the given word.
Your Answer : (Not Answered)
Correct Answer : A
It is loquacious.
Garrulous means talking too much, especially about trifles, and loquacious is its match. Quiet and reserved are its opposites.
Which one of the following options is the closest in meaning to the word given below?
Latitude
Your Answer : (Not Answered)
Correct Answer : B
The closest meaning is Freedom.
Latitude, apart from its geographical sense, means scope or freedom to act or think as one chooses: 'the manager gave the team considerable latitude in choosing their methods'.
Eligibility is the state of meeting the conditions for something, such as a post or an award. Coercion is the opposite of latitude: forcing someone to act against their will. Meticulousness is great care and attention to detail, which has nothing to do with the freedom to choose.
Select the most appropriate option to fill in the blanks.
Each of us comes into this world with particular sets of strengths and ______. Since these are more than ______ not going to go away, we should embrace them by finding compassionate understanding for the imperfections.
Your Answer : (Not Answered)
Correct Answer : B
The right pair is 'weaknesses' and 'likely'. 'Strengths and weaknesses' is the natural pair of opposites in the first blank. The second blank forms the phrase 'more than likely not going to go away', which is a set expression meaning very probably. 'Difficulties', 'challenges' and 'struggles' are not the usual opposites of strengths, and 'possibly', 'probably' and 'expectedly' do not fit after 'more than'.
General Awareness / General Knowledge (GK) [ Question No: 10 To 18 ] :
Who was the first Viceroy of India ?
Your Answer : (Not Answered)
Correct Answer : A
The first Viceroy was Lord Canning.
After the revolt of 1857, the Government of India Act, 1858 transferred power from the East India Company to the British Crown. Lord Canning, who was Governor-General at the time, became the first Viceroy, the Crown's representative in India.
Lord Wellesley (1798-1805) and William Bentinck (1828-1835) were Governors-General under the Company, before the title of Viceroy existed. Robert Clive was Governor of Bengal.
Which one of the following is not a biospheric reserve?
Your Answer : (Not Answered)
Correct Answer : C
The one that is not a biosphere reserve is Gorumara.
Gorumara is a national park in the Dooars region of West Bengal, known for its one-horned rhinoceros. It has not been declared a biosphere reserve.
The other three are biosphere reserves: Dihang-Dibang in Arunachal Pradesh, Nokrek in the Garo Hills of Meghalaya, and Pachmarhi in Madhya Pradesh. Nokrek and Pachmarhi are also in UNESCO's World Network of Biosphere Reserves.
Platinum Jubilee Celebration refers to the anniversary of
Your Answer : (Not Answered)
Correct Answer : D
A platinum jubilee marks the 70th anniversary, which is option D.
The term entered wide use with Queen Elizabeth II's Platinum Jubilee in 2022, which celebrated 70 years on the throne. Silver is 25, golden 50 and diamond 60 years in the usual British scale.
Some lists, including some Indian usage, place the platinum jubilee at 75 years (as with the 75 years of independence, called the Amrit Mahotsav), which is what option A offers. The Board's key follows the standard 70-year meaning. Options B and C are the golden and diamond jubilees.
Which of the following options about Reaction I (R1) and Reaction II (R2) are correct ?
Reaction I (R1) : Reaction of slaked lime with carbon dioxide
Reaction II (R2) : Heating of calcium bicarbonate
Your Answer : (Not Answered)
Correct Answer : D
The correct description is R1 is exothermic and R2 is a decomposition.
R1 is the lime-water reaction. Slaked lime reacts with carbon dioxide to form calcium carbonate and water, and heat is released:
\[ \begin{aligned} &\text{Ca(OH)}_{2} + \text{CO}_{2} \\ &\rightarrow \text{CaCO}_{3} + \text{H}_{2}\text{O} \end{aligned} \]
R2 breaks one compound into three on heating, which is a decomposition:
\[ \begin{aligned} &\text{Ca(HCO}_{3})_{2} \\ &\rightarrow \text{CaCO}_{3} + \text{H}_{2}\text{O} + \text{CO}_{2} \end{aligned} \]
R2 is not a combination, and R1 is neither endothermic nor a decomposition, which rules out the other three options.
In which indian city Tower of Silence is located ?
Your Answer : (Not Answered)
Correct Answer : D
The Tower of Silence is in Mumbai.
The dakhma on Malabar Hill is where Parsis expose their dead to vultures, holding that a corpse must not defile earth, fire or water. The practice has become difficult since vulture numbers collapsed in the 1990s.
Your Answer : (Not Answered)
Correct Answer : C
Nitrogen-fixing bacteria are useful in growing legumes.
Rhizobium lives in nodules on legume roots and converts atmospheric nitrogen into ammonia the plant can use, in exchange for carbohydrate. Wheat, rice and maize form no such partnership and need applied nitrogen.
Your Answer : (Not Answered)
Correct Answer : A
The brain coordinates the functions of the body's organs.
It does so through the nervous system, by direct nerve impulses, and through the endocrine system, by way of the hypothalamus and pituitary. The medulla alone controls breathing, heart rate and blood pressure.
Your Answer : (Not Answered)
Correct Answer : D
Stock value is not a term in physics.
It belongs to finance. Latent heat is the energy absorbed in a change of state, nuclear fusion the joining of light nuclei, and refractive index the ratio \(c/v\) for a medium.
Genoa is leading seaport of:
Your Answer : (Not Answered)
Correct Answer : C
Genoa is the leading seaport of Italy.
It lies on the Ligurian Sea in the north-west and has been a great trading port since the Middle Ages, when the Republic of Genoa rivalled Venice. Christopher Columbus was born there.
Engineering Mathematics [ Question No: 19 To 19 ] :
One of these four statements about the mean value theorem fails. Which is it?
Your Answer : (Not Answered)
Correct Answer : D
The theorem is an existence result: it promises some \( c \) with \( f'(c) \) equal to the average slope, without saying where. Finding \( c \) means solving an equation, which for most functions cannot be done in closed form. The two hypotheses and the existence conclusion are all stated correctly
Current Affairs [ Question No: 20 To 20 ] :
In October 2021, which state launched the programme named 'Swechha' to tackle the stigma attached to menstruation, prioritise female personal hygiene and encourage a healthy dialogue of information?
Your Answer : (Not Answered)
Correct Answer : B
Andhra Pradesh launched the Swechha programme in October 2021, under Chief Minister Y. S. Jagan Mohan Reddy. It provides free sanitary napkins to adolescent girls in government schools and junior colleges and runs awareness on menstrual hygiene to reduce the stigma.
Tamil Nadu, Kerala and Telangana have their own hygiene or health schemes but did not launch a programme under this name.
The scheme provides free sanitary napkins to girls studying in government schools and junior colleges in Andhra Pradesh.
Marks
Total number of questions : 20
Number of answered questions : 0
Number of unanswered questions : 20