HP Patwari Mock Test - 6 - HP Patwari MCQ

Given:

Ratio of radius = 1 : 2

Ratio of curved surface area = 1 : 3

Formula:

Curved surface area of Cylinder = 2πrh

Volume of Cylinder = πr²h

Where,

R is Radius of cylinder

h is Height of the cylinder

Calculations:

Ratio of radius = 1 : 2

Let the radius of first cylinder be x.

So, the radius of second cylinder = 2x 

Let the height of first cylinder and second cylinder be h₁ and h₂ .

Curved surface area of first cylinder = 2πrh

Curved surface area of second cylinder

Ratio of curved surface area of both the cylinder

Let the height of first cylinder (h₁)  be 2y.

So height of second cylinder (h₂)  be 3y

Volume of first cylinder = πr²h 

= 2πx²y

Volume of second cylinder

= 12πx²y

Ratio between the volumes of both the cylinder 

= 1/6 

∴ Ratio between the volumes of both the cylinder is 1 : 6.

12 couples = 24 people

And every couple has at least one child. So, Minimum 12 children

∴ Total 24 + 12 = 36 People

Let the number of small spheres be n.

We know that,

Volume of sphere =

According to the question,

⇒ n = 125/8 = 15 (Approx)

Thus, 15 such spheres can be made.

Given that,

(x - 5)(x - 1) + (y - 7)(y - 4) = 0

⇒ x² - 6x + 5 + y² - 11y + 28 = 0

⇒ x² + y² - 6x - 11y + 33 = 0

Comparing with standard form of circle x² + y² + 2gx + 2fy + c = 0,

2gx = -6x

2fy = -11y

c = -33

⇒ g = -3

⇒ f = (-11)/2

Center = (-g, f)

Radius

= 5/2

Given:

Speeds of train are respectively 46 km/hour and 36 km/hour.

The faster train crosses the slower train in 36 seconds

Let the length of trains be L meters

Speed = S₁ - S₂ = 10 km/hour

We know that,

When two trains move in the same direction having same length L and speeds S₁ and S₂ then time (t) required by faster train to crosses the slower train,

Relative speed in m/s = 10 x (5/18) = 25/9 m/s

So,

t(time)

⇒ 36 x (25/9) = 2L

⇒ 2L = 900/9

⇒ L = 50

The indirect speech of the given sentence is '​She told Mohit that Rohit had arrived on Sunday.​'

When the reporting speech is in Simple Past Tense then all the speech Changes to Past Perfect tense.

Arrived - Had arrived

Said to of the reporting verb changed into told.

Replace comma (,) and inverted commas (" ") with the conjunction 'that'.

The third person(Rohit) of the reporting speech remains unchanged.

​So, the final sentence is: 'She told Mohit that Rohit had arrived on Sunday.​​

Let's look at the meaning of the given word and the correct answer.

Authentic (adjective): If something is authentic, it is real, true, or what people say it is.

​Example: He was there and saw what happened, so he is the only authentic account.

Fake (noun): an object that is made to look real or valuable in order to deceive people.

Example: Experts revealed that the painting was a fake.

Cowardly is not an adverb.

Cowardly is an adjective for its adverb form we use "in a cowardly manner".

A cowardly person is not brave enough to fight or do something difficult or dangerous that they should do.

The given sentence uses two comparative degrees viz harder and better.

We use two comparative degrees in order to show subsequent development in two similar kinds of things or events.

When we use two comparative degrees to show subsequent development, both the degrees are preceded with article 'the'.

In the given sentence, harder is preceded with the but better isn't which violates the above-mentioned rule. So, Option (D) gets ruled out.

More better is incorrect because more and better are two different comparative degrees in themselves and cannot be used together. Also, there is absence of 'the'. So, Option (B) gets ruled out.

A better is incorrect because better should be preceded with the instead of a. So, Option (C) also gets ruled out.

The better is the appropriate entry here as it satisfies the above-mentioned rule.

​Thus, the correct sentence is: The harder you work, the better you become.

The babble of strange and unfamiliar dialects at the market held my interest.

The use of the word 'babble' (sound word) in the blank space of the sentence is appropriate.

It is appropriate to use in, have, the, a respectively in the blank spaces of the sentence. Hence the meaningful sentence will be -

There are no sparrows chirping in the cities anymore. All have either died or flown far away as they had no space in the growing concrete jungle. The cunning pigeons have become a menace.

'Mischeif' is spelled incorrectly.

The correct spelling is 'Mischief' which means "a specific injury or damage attributed to a particular agent".

Example: She wanted to explain how much mischief might be done by such reports.

The correct usage would be 'more brave' or 'braver'.

The use of 'braver' after 'more' is redundant.

So, we do not use 'more' before a comparative form.

So, the correct sentence is:

"Nikhil is more brave than Sushant who is afraid."

A possessive adjective is a word that indicates the possession of the noun to a person/group.

• These are: my, his, her, its, their, your, our.
• Example: This is my book.

Also, the word 'tail' means 'a part of an animal's body, sticking out from the base of the back', whereas 'tale' means 'a story'.

According to the context of the given sentence, the cat was chasing the tail that belonged to the cat only.

The Constitution of India confers upon all citizens fundamental rights, including the right to freedom of speech and expression, to assemble peaceably and without arms, and to move freely throughout the territory of India.

The error lies in the usage of confer.

Confer needs to be replaced with confers.

The subject of the sentence i.e., The constitution of India is singular and requires singular verb.

The context of the sentence is stating a fact, therefore, it will be in present indefinite tense or simple present tense.

Structure:

​Subject+ first form of verb(s,es).

As we have to identify the part of the speech of the word, we need to know the significance of the parts of the speech.

Parts of speech:

• A category to which a word is assigned in accordance with its syntactic functions.
• In English, the main parts of speech are noun, pronoun, verb, adjective, adverb, preposition, conjunction, and interjection.

Let's understand the definitions of parts of speech given in the options:

Thus the correct answer is: Noun

‘पाद’ तत्सम शब्द है, इसका तद्भव ‘पांव’ अर्थात ‘पैर’ है। ‘भैंस’ तद्भव शब्द है, इसका तत्सम महिषी है, तथा ‘बारह’ तद्भव शब्द है, इसका तत्सम द्वादश होता है। ‘सच’ तद्भव शब्द है इसका तत्सम ‘सत्य’ होता है।

खंडहर, शब्द में 'हर' प्रत्यय है। जबकि लुटेरा शब्द में 'एरा' प्रत्यय है।

प्रत्यय वे शब्द हैं जो दूसरे शब्दों के अन्त में जुड़कर, अपनी प्रकृति के अनुसार, शब्द के अर्थ में परिवर्तन कर देते हैं।

'देशांतर' का संधि विच्छेद दिशा + अंतर होता है। इसमें दीर्घ संधि है। ह्रस्व स्वर या दीर्घ स्वर अ ,आ , इ , ई , उ , ऊ आपस में मिलते है तो स्वर दीर्घ हो जाता है। तो उसे दीर्घ संधि कहते है। जैसे –

धर्म + अर्थ – धर्मार्थ

स्वर + अर्थी – स्वार्थी

परम + अर्थ – परमार्थ

दिए गए विकल्पों में 'ऊंचाई ' शब्द में प्रत्यय है।

'ऊंचाई' शब्द 'आई' प्रत्यय के योग से बना है,

'ऊंचा' + 'आई' = 'ऊंचाई'

प्रत्यय वे शब्द हैं जो दूसरे शब्दों के अन्त में जुड़कर, अपनी प्रकृति के अनुसार, शब्द के अर्थ में परिवर्तन कर देते हैं।

“भावुक” का संधि विच्छेद 'भौ + उक' है। जब संधि करते समय ए , ऐ , ओ , औ के साथ कोई अन्य स्वर हो तो (ए का अय), (ऐ का आय्), (ओ का अव), (औ – आव) बन जाता है। यही अयादि संधि कहलाती है। अयादि संधि के उदाहरण:

श्री + अन : श्रवण

पौ + अक : पावक

पौ + अन : पावन

'महीप’ समुद्र का समानार्थी शब्द नहीं हैं।

'महीप' के पर्यायवाची शब्द -राजा, नरेश, महीपाल, भूप, भूपति, भूपाल इत्यादि है।

त्रुटि वाला वाक्यांश 'सबसे सरलतम उपाय' है। इस वाक्यांश का सही रूप 'सबसे सरल उपाय या सरलतम उपाय' है।

The Himalayan princely state Praja Mandal established in 1939 AD.

The struggle for independence was at its peak all over India. In the hilly areas also, the light of independence was awakened through the 'Prajamandal Movement'. Praja Mandal was related to the farmers who fought against the princely rule in their own way. In 1939, the session of 'All India State People's Congress' was held in Ludhiana in which it was decided to create Praja Mandal in hill states and to give special attention to these areas. To run the movement in all the districts of India, the allied organization of Congress was also called upon to intensify the work of Prajamandals through the State Council and Pattabhi Sitaramayya was entrusted with this work.

The states of Punjab and Himachal Pradesh grow rabi crops. Rabi crops are those which are sown in winter and harvested in the spring. Barley, gram, rapeseed, mustard, wheat are some examples of rabi crops.

Named after Sri Lankan taxonomist Rohan Pethiyagoda, the frogs of the new genus Rohanixalus are characterised by a rather small and slender body (size about 2 to 3 cm long).

Based on DNA studies, the new genus is also revealed to be a distinct evolutionary lineage from all previously known tree frog genera. There are eight frog species in this genus Rohanixalus. They are known to inhabit forested as well as human-dominated landscapes right from the northeast to Myanmar, Thailand, Malaysia, Indonesia, Vietnam, Laos, and Cambodia, up to southern China.

The genus has several unique behavioural traits including maternal egg attendance where the female (mother) attends the egg clutches until hatching and assists in the release of the tadpoles into the water. During the first three days after egg-laying, the female sits over the eggs and produces a gelatinous secretion with which she glazes the egg mass through the clock-wise movement of her legs. This behaviour provides necessary moisture to the eggs laid on exposed leaf surfaces and protects them from insect predation.

Alexander Graham Bell was an inventor, scientist, and engineer who is credited with inventing and patenting the first practical telephone. He also co-founded the American Telephone and Telegraph Company.

The French were the last of the Europeans to come to pre-independence India as traders.

The French were the last Europeans to come to India for trading. The French East IndiaCompany was established in the year 1664 CE on September 1. The French East India Company came to India onlywith the purpose of trading and not to rule in the country. Indigo, Dye,Cotton, Silk and Spices were some of the important items of trading of FrenchCompany.

Antonie van Leeuwenhoek used single-lens microscopes, which he made, to make the first observations of bacteria and protozoa.

• His extensive research on the growth of small animals such as fleas, mussels, and eels helped disprove the theory of spontaneous generation of life.
• Robert Hooke was an English scientist, architect, and polymath, who, using a microscope, was the first to visualize a micro-organism.
• Louis Pasteur was a French biologist, microbiologist, and chemist renowned for his discoveries of the principles of vaccination, microbial fermentation, and pasteurization.