Bihar PGT Mathematics Mock Test - 7 - Bihar PGT/TGT/PRT MCQ

The correct answer is Option 3, i.e., ‘mild’.
The word ‘acerbic’ means ‘to be critical or sarcastic in tone or mood.’ The word ‘mild’ has an opposite meaning of ‘gentle in tone’. Hence, the correct option is Option 3.

The word 'malleable' is incorrectly spelled as 'mallable'. The word 'malleable' means 'that which can be easily shaped'.

'A drop in the bucket' means that 'a very small amount compared with what is needed or expected'.

The sentence is predicting that the person concerned will not be able to attend a function the next day. Hence, it should be in the simple future tense.
As desired all the features are present in the given statement and it is grammatically correct too. 
The phrase 'to make it to ___' means to come somewhere. You use this to talk about attending events or meeting people.
Option 4 is correct as no further improvement to the sentence is required. 

"मुकरी" लिखने का सर्वप्रथम प्रयास "अमीर खुसरो" ने किया है। हिंदी में मुकरी सर्वप्रथम अमीर खुसरो ने लिखी। हिन्दी में अमीर खुसरो की मुकरियाँ प्रसिद्ध हैं। इसी को 'कह-मुकरी' भी कहते हैं। साहित्यिक दृष्टि से मुकरियों का विषय छेकापन्हुति अलंकार के अंतर्गत आता है।

उपरोक्त विकल्पो में कलम का सिपाही, जीवनी विधा की रचना है। कलम का सिपाही जीवनी के लेखक: अमृत राय है। कलम का सिपाही जीवनी, प्रेमचन्द के जीवन पर आधारित रचना है।

The correct answer is Tartaric acid.

• Tartaric acid is an organic acid that is white and crystalline.

Key Points

• It is found naturally in many fruits like grapes, bananas, tamarind, etc.
• This acid is added to foods as an antioxidant and to give its distinctive sour taste.
• Crystals and powders are prepared by a chemical process.
• It is also added to food for preservation.
• It is also a good antioxidant and is beneficial for kidneys.
• It helps to absorb minerals in the body.
• It is also helpful in controlling problems related to gases in the body.

• ​Is a substance that contains living microorganisms.
• These, when applied to seeds, plant surfaces, or soil, colonize the rhizosphere or the interior of the plant and promotes growth by increasing the supply or availability of primary nutrients to the host plant. 
• Biofertilizers add nutrients through the natural processes of Nitrogen fixation.
• Examples: Rhizobium, Azotobacter, Blue-green algae, Azospirilium.

Key PointsBlue green algae:

• Blue-green algae (BGA) is a photoautotrophic, prokaryotic algae.
• They are free-living creatures and also known as Cyanobacteria.
• It fixes the atmospheric nitrogen in moist soils.
• So BGA has been recommended as a biofertilizer.
• The algae include unicellular as well as filamentous species.
• Some of the filamentous forms have specialized cells known as heterocysts.​

Important Points

Biofertilizers:

Thus, the manure also considered as bio-fertilizer is Blue green algae.

Additional Information

Compost: 

• Composting is a process in which both aerobic and anaerobic micro-organisms decompose organic matter.
• Farm compost is a mass of rotted organic matter made from farm waste like sugarcane trash, paddy straw, weeds and other plants.
• While town compost is a mass of rotted organic matter made from town refuses like night soil, street sweepings and dustbin refuse.

​Green Manure:

• Green manures are the crops that are grown primarily for building and maintaining soil fertility and structure.
• Green manure crops should be such that they can be grown quickly.
• Green manure crops include legumes such as vetch, clover, beans and peas; grasses such as annual ryegrass, oats, rapeseed, winter wheat and winter rye and buckwheat.
• Green manure crops provide nitrogen as the major nutrient.

Farmyard Manure:

• It is the decomposed mixture of dung and urine of farm animals.
• It also contains litter and leftover materials from roughages or fodder fed to cattle.

The correct answer is Akbar.

Key Points

•  Akbar(1556-1605):
  • Akbar was born on 15th October 1542. His full name was Abu'l-Fath Jalal ud-din Muhammad Akbar.
  • Akbar succeeded his father Humayun at the age of thirteen on 14th February 1556 as the third Mughal Emperor of India.
  • Akbar made major reforms in the war techniques especially in the use of firearms.
  • He reigned from 1556 to 1605 and extended Mughal power over most of the Indian subcontinent.
  • To preserve the unity of his empire, Akbar adopted programs that won the loyalty of the non-Muslim populations of his realm.

Additional Information

• Jahangir:
  • The fourth Mughal ruler, Jahangir, was succeeded by the famous Akbar the Great.
  • Jahangir was known for his ambivalent stance on religion and his love for art.
  • Like most Mughal rulers, Jahangir has given India a few of the most iconic structures that have lasted the centuries without losing their glory.
• Shahjahan:
  • Shah Jahan was an able military commander.
  • While still a prince, he was able to obtain the submission of the Rajput state of Mewar which Akbar had not been able to defeat.
  • Mewar then became a vassal of the Mughal Empire.
  • On becoming the emperor, Shah Jahan executed many of his former rivals including his own brother Shahryar, imprisoned many more, and consolidated his power.
  • The Mughal rules of succession do not follow primogeniture, i.e., the eldest son succeeding the father; there is always a fight for power by brothers in the Mughal courts upon the death of a ruler.
• Babur:
  • Babur was the founder of the Mughal empire in the Indian subcontinent
  • He ruled the Mughal dynasty from 1526 to 1530.
  • Babur came to India from Ferghana.
  • Babur succeeded to the throne of Ferghana in 1494 when he was only 12 years old.
  • He was forced to leave his ancestral throne due to the invasion of the Uzbeks(Mongol group).
  • He was a descendant of Timur from his father's side and a descendant of Chengiz Khan from his mother's side.
  • He defeated Ibrahim Lodi at Panipat and captured Delhi and Agra in 1526.
  • He defeated Rana Sanga of Mewar at Khanwa in 1527
  • He defeated the Rajputs at Chanderi in 1528.
  • Baburnama or Tuzuk-e-Baburi is the autobiography of Babur.
  • He died at Agra in 1530.

The correct answer is Vitamin K.

Key Points

• Vitamin
  • Vitamin is an organic non-protein substance that is required by an organism for normal metabolic function but cannot be synthesized in sufficient quantity by that organism.
  • These can be divided into two categories: fat-soluble and water-soluble.
• ​Fat-Soluble vitamins​
  • Unlike water-soluble vitamins, fat-soluble vitamins are stored in the body when they are not in use.
  • Vitamins A, D, and E and K are fat-soluble.
• ​Water-soluble vitamins​
  • Any excess amounts of water-soluble vitamins simply pass through the body
  • Vitamin B and Vitamin C are water-soluble.​

Additional Information

The correct answer is 1 i.e. propanal.

Concept:

IUPAC nomenclature:

• A systematic method of naming organic compounds.
• Naming is based on their structures.
• It is devised by the International Union of Pure and Applied chemistry.
• Many rules are followed while naming the compounds and it is different for different functional groups.
• The rules are known as IUPAC rules.

Explanation:

• This compound contains 3 carbon atoms, so its parent alkane is propane.
• It also contains an aldehyde group (-CHO-) group which is indicated by using 'al' as suffix or ending.
• So by replacing the last 'e' of butane with 'al', the name becomes propanal.
• Thus, the IUPAC name of the compound CH₃CH₂CHO is propanal.
• The common name of propanal is Propionaldehyde.

​Additional Information

• The chart for priority order and suffix name is given below:

GIVEN:

The average of 40 numbers = 25

CONCEPT:

Basic Average concept.

FORMULA USED:

Average = Sum of all numbers/Total numbers

CALCULATION:

Sum of numbers = 40 × 25 = 1000

23, 25 and 41 are mistakenly written as 32, 52 and 15 respectively.

⇒ Change in sum = (23 + 25 + 41) – (32 + 52 + 15)

= 89 – 99

= -10

Actual sum of numbers will be 10 less.

⇒ Sum of numbers = 1000 – 10 = 990

∴ Correct average = 990/40 = 24.75

1) DARKEST – SKATEBOARD (Can be formed)

2) ABROAD – SKATEBOARD (Can be formed)

3) STRIKE – SKATEBOARD (Cannot be formed because I is missing)

4) BEAST – SKATEBOARD (Can be formed)

Hence, the correct answer is “STRIKE”.

The time between two successive passages of the mean sun across the meridian at noon is known as mean solar time. It means that solar time is equal to one day. Some additional facts:

• 1 Astronomical Unit = 1.5 × 1011 m. It is used to determine the distance between the earth and the sun. 
• 1 Slug = 14.59 kg. It is a unit of mass in the FPS System. 
• 1 Lunar Month = 27.3 solar days. It is the time between the two consecutive full moons. 

Hence, we conclude that one solar day is of 24 hours.

The correct option is  7^th.

Key Points

• In the 7^th five-year plan Jawahar Rojgar Yojna was launched.
• Jawahar Rozgar Yojana was launched in 1989 by the Rajiv Gandhi government.
• It was implemented upon the merger of the National Rural Employment Programme (NREP) and Rural Landless Employment Guarantee Programme (RLEGP).
• The Seventh Five Year Plan (1985-1990) also laid impetus on the development of small-scale and food processing industries
• The Seventh Five Year Plan also encouraged 'Social Justice'.

Additional Information

All Five Year Plans:

The correct answer is option 2 i.e. Maximilien Robespierre.

The Reign of Terror in France was started by Maximilien Robespierre began on September 5, 1793 and ended on July 27, 1794.

• The Reign of Terror, or commonly The Terror was a period during the French Revolution when people were arrested and executed on the suspicion that they were not loyal to the revolution.
• The event began following the storming of Bastille in 1793. France, at that time was facing a civil war and foreign power also attacked the country. In such a scenario Maximilien Robespierre took over the government and started the Reign of Terror.
• Robespierre formed the Committee of Public Safety and stated that terror was necessary to bring order to the public life.
• The Committee established several laws, one of them was called the "Law of Suspects" where anyone who was suspected to be an enemy of the revolution was arrested and put on trial.
• Queen Marie Antoinette, wife of King Louis XVI of France was the first one to be executed.
• All victims were executed by the guillotine.
• The period ended on July 27, 1794 when Robespierre himself was executed.

The correct answer is Uttarakhand.

Key Points

• Nanda Devi Biosphere Reserve is located in the northern part of India in Uttarakhand. 
• It comprises Nanda Devi National Park and the Valley of Flowers National Park.
• Declared as Biosphere Reserve under the UNESCO’s Man and Biosphere (MAB) programme.
• It has been included in the World Network of Biosphere Reserves.
• The biosphere reserve is spread in Chamoli, Pithoragarh and Bageshwar district of Uttarakhand.
• It comprises the catchment area of Alaknanda River and its tributaries, including Rishi Ganga, Dhauli Ganga, Pushwapati, and Khir Ganga.
• Fauna:- Snow leopard, the Himalayan musk deer, Asiatic black bear, Himalayan brown bear, bharal and Himalayan tahr etc.
• Flora: Birch, Rhododendron, Fir, Juniper, Lichens etc are found in the reserve.

International Yoga Day is celebrated on 21^st June every year.

Similarly;

Kargil Victory day is commemorated on 26^th July every year.

Hence, "Kargil Victory Day : 26^th July" is the correct answer.

Important Points

The function is clearly differentiable except possible at x = 2, 3

We know that:
Sin θ = Opposite / Hypotenuse

∴ SinA = 1/√10
CosA= 3/√10
similarly, SinB = 1/√5
CosB= 2/√5

⇒ Multiply:
Cos(A+B)= CosA x CosB - SinA x SinB

Substituting the value in above equation we get:

= 3/√10 x 2/√5 - 1/√10 x 1/√5
= 6/√50 - 1/√50
= 6-1/5√2. ........(√50=5√2)
= 1/ √2

we know that, sin 45 = 1/ √ 2 therefore
sinθ / cosθ = 45

lt h->0 [sin(x+h)^½ - sin(x)^½]/h
Differentiate it with ‘h’
lt h->0 {cos(x+h)^½ * ½(x+h)^1/2] - 0}/1
lt h->0 {cos(x+h)^½ * ½(x+h)^1/2]
lt h->0 cos(x)^½ / 2(x)^½

We have product of the roots = 2e^{4 ln k} - 1 = 31 (given) 

⇒ k⁴ = 16 ⇒ k⁴ - 16 = 0
⇒ (k – 2)(k + 2)(k² + 4) = 0  ⇒ k = 2, -2
as k > 0, we get k = 2.
Sum of the roots = 5k = 10 

Total Permutations of n different things taken r at a time when a particular item is always included in the arrangement is : r * (n-1 p r-1).

where d is the distance between lines whose equations are ax+by+C₁ ​ =0 & ax+by+C₂ ​= 0

= 5
d = 5
If the distance between vertex and latus rectum = distance of vertex from directrix = a then d = 2a = 5
⇒ Length of latus rectum = 4a = 10