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DSSSB TGT Mathematics Mock Test - 2 - DSSSB TGT/PGT/PRT MCQ


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30 Questions MCQ Test DSSSB TGT Mock Test Series 2025 - DSSSB TGT Mathematics Mock Test - 2

DSSSB TGT Mathematics Mock Test - 2 for DSSSB TGT/PGT/PRT 2025 is part of DSSSB TGT Mock Test Series 2025 preparation. The DSSSB TGT Mathematics Mock Test - 2 questions and answers have been prepared according to the DSSSB TGT/PGT/PRT exam syllabus.The DSSSB TGT Mathematics Mock Test - 2 MCQs are made for DSSSB TGT/PGT/PRT 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for DSSSB TGT Mathematics Mock Test - 2 below.
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DSSSB TGT Mathematics Mock Test - 2 - Question 1

Who among the following was the first `Minister of Finance' in independent India?  

Detailed Solution for DSSSB TGT Mathematics Mock Test - 2 - Question 1

The first finance minister of independent India was R. K. Shanmukham Chetty, who served as the finance minister in Jawaharlal Nehru's Cabinet between 1947-49. On November 26, 1947 Chetty presented the first budget of independent India. Earlier, he had served as President of India's Central Legislative Assembly from 1933 to 1935.

DSSSB TGT Mathematics Mock Test - 2 - Question 2

What is the minimum age of qualification for membership in the Legislative Assembly and Legislative Council of the state respectively?

Detailed Solution for DSSSB TGT Mathematics Mock Test - 2 - Question 2

The qualification to a member of the largely similar to the qualification to be the members of Parliament. A person should be, a citizen of India not less than 25 years and of age to be a member of the Legislative Assembly and not less than 30 years as per Article 173 of the Indian Constitution to be a member of the Legislative Council.

DSSSB TGT Mathematics Mock Test - 2 - Question 3

Badrinath is situated on the bank of river

Detailed Solution for DSSSB TGT Mathematics Mock Test - 2 - Question 3

Badrinath has an average elevation of 3,100 metres (10,170 feet). It is in the Garhwal Himalayas, on the banks of the Alaknanda River. The town lies between the Nar and Narayana mountain ranges 9 km east of Nilkantha peak (6,596m). Badrinath is located 62 km northwest of Nanda Devi peak and 301 km north of Rishikesh. From Gaurikund (near Kedarnath) to Badrinath by road is 233 km.

DSSSB TGT Mathematics Mock Test - 2 - Question 4

The mountain range which divides the North and the South India is–

Detailed Solution for DSSSB TGT Mathematics Mock Test - 2 - Question 4

The Vindhya Range is considered as the traditional boundary between North India and South India. It is a complex, discontinuous chain of mountain ridges, hill ranges, and plateau escarpments in west-central India. It runs north of and roughly parallel to the Narmada River in Madhya Pradesh and extends up to Gujarat in the west, and Uttar Pradesh and Bihar in the east.

DSSSB TGT Mathematics Mock Test - 2 - Question 5

Which of the following can be used to see atoms?

Detailed Solution for DSSSB TGT Mathematics Mock Test - 2 - Question 5

A scanning tunneling microscope (STM) is an instrument for imaging surfaces at the atomic level. Its development in 1981 earned its inventors, Gerd Binnig and Heinrich Rohrer (at IBM Zrich), the Nobel Prize in Physics in 1986. For an STM, good resolution is considered to be 0.1 nm lateral resolution and 0.01 nm (10 pm) depth resolution.With this resolution, individual atoms within materials are routinely imaged and manipulated. The STM can be used not only in ultra-high vacuum but also in air, water, and various other liquid or gas ambients, and at temperatures ranging from near zero kelvin to over 1000 DEGC.

DSSSB TGT Mathematics Mock Test - 2 - Question 6

Statements:
Some mangoes are yellow.
Some tixo are mangoes.

Conclusions:
(1) Some mangoes are green.
(2) Tixo is a yellow.

Detailed Solution for DSSSB TGT Mathematics Mock Test - 2 - Question 6

From the image:

  • Some mangoes are green. No
  • Tixo is a yellow. maybe or may not be

Neither of the conclusions follows.

DSSSB TGT Mathematics Mock Test - 2 - Question 7

Find the answer figure which will complete the pattern in the question figure.

Detailed Solution for DSSSB TGT Mathematics Mock Test - 2 - Question 7

​​

DSSSB TGT Mathematics Mock Test - 2 - Question 8

Directions to Solve

In each of the following questions find out the alternative which will replace the question mark.

Question -

NATION : ANTINO :: HUNGRY : ?

Detailed Solution for DSSSB TGT Mathematics Mock Test - 2 - Question 8

DSSSB TGT Mathematics Mock Test - 2 - Question 9

A, P, R, X, S and Z are sitting in a row. S and Z are in the centre. A and P are at the ends. R is sitting to the left of A. Who is to the right of P ?

Detailed Solution for DSSSB TGT Mathematics Mock Test - 2 - Question 9

The seating arrangement is as follows:

Therefore, right of P is X.

DSSSB TGT Mathematics Mock Test - 2 - Question 10

A batsman makes a score of 87 runs in the 17th inning and thus increases his averages by 3. What is his average after 17th inning?

Detailed Solution for DSSSB TGT Mathematics Mock Test - 2 - Question 10

DSSSB TGT Mathematics Mock Test - 2 - Question 11

What is the rate of simple interest for the first 4 years if the sum of Rs. 360 becomes Rs. 540 in 9 years and the rate of interest for the last 5 years is 6%?

Detailed Solution for DSSSB TGT Mathematics Mock Test - 2 - Question 11

For the last 5 years, the interest earned would be: 30% of 360 = 108. Thus, interest earned in the first 4 years would be Rs. 72 → Rs. 18 every year on an amount of Rs. 360- which means that the rate of interest is 5%

DSSSB TGT Mathematics Mock Test - 2 - Question 12

69.69 – 51.54 + 73.65 = ? + 32.42

Detailed Solution for DSSSB TGT Mathematics Mock Test - 2 - Question 12

69.69 – 51.54 = 18.15
18.15 + 73.65 = 91.80
91.80 – 32.42 = 59.38

So Option D is correct

DSSSB TGT Mathematics Mock Test - 2 - Question 13

If the L.C.M of x and y is z, their H.C.F is

Detailed Solution for DSSSB TGT Mathematics Mock Test - 2 - Question 13

HCF = Product of the 2 number/LCM = XY/Z

DSSSB TGT Mathematics Mock Test - 2 - Question 14

If the ratio of radius two Cylinders A and B are in the ratio of 2:1 and their heights are in the ratio of 2:1 respectively. The ratio of their total surface areas of Cylinder A to B is?

Detailed Solution for DSSSB TGT Mathematics Mock Test - 2 - Question 14

Cylinder A: 2πr1 (r1 + h1)
Cylinder B: 2πr2 (r2 + h2)
r 1 /r 2 = 2:1; h 1 /h 2 = 2:1
T A /T B = 2πr1 (r1 + h1)/ 2πr2 (r2 + h2)

DSSSB TGT Mathematics Mock Test - 2 - Question 15

Directions: Study the following graph carefully and answer the question given below.

Q. What is the difference between the total number of hard disks and mouses produced by Company 'X' in the year 2010 and the total number of keyboards and pen drives produced by Company 'X' in the year 2015?

Detailed Solution for DSSSB TGT Mathematics Mock Test - 2 - Question 15

Total number of hard disks and mouses produced by Company 'X' in the year 2010 = 6 + 30 = 36 thousand = 36,000
Number of keyboards and pen drives produced by Company 'X' in the year 2015 = 55 + 36 = 91 thousand = 91,000
Required difference = 91,000 - 36,000 = 55,000

DSSSB TGT Mathematics Mock Test - 2 - Question 16

30 litre of solution contains alcohol and water in the ratio 2:3. How much alcohol must be added to the solution to make a solution containing 60% of alcohol?

Detailed Solution for DSSSB TGT Mathematics Mock Test - 2 - Question 16

Answer – d) 15 Explanation : alcohol = 30*2/5 = 12 and water = 18 litres (12 + x)/(30 +x) = 60/100, we will get x = 15

DSSSB TGT Mathematics Mock Test - 2 - Question 17

Direction: Select the segment of the sentence that contains the grammatical error. If there is no error, mark 'No error' as your answer.

Q. The Sudan block is (A)/ a magnificent three-storey (B)/ basalt and granite buildings(C)/. No error (D)

Detailed Solution for DSSSB TGT Mathematics Mock Test - 2 - Question 17
  • From the given option, the part of the sentence which contains an error is part C.
  • The verb 'is' refers to a singular noun, so the plural noun 'buildings' is an incorrect word in the sentence.
  • Also, the article 'a' is always used before a singular noun.
  • To make the sentence correct buildings should be replaced by building.

Thus the correct sentence is: The Sudan block is a magnificent three-storey basalt and granite building.

DSSSB TGT Mathematics Mock Test - 2 - Question 18

Direction: Read the passage and answer the questions that follow.
Under the colonial regime, basic infrastructures such as railways, ports, water transport, posts and telegraphs did develop. However, the real motive behind this development was not to provide basic amenities to the people but to subserve various colonial interests. Roads constructed in India prior to the advent of the British rule were not fit for modern transport. The roads that were built primarily served the purposes of mobilising the army within India and drawing out raw materials from the countryside to the nearest railway station or the port to send these to far away England or other lucrative foreign destinations. There always remained an acute shortage of all-weather roads to reach out to the rural areas during the rainy season. Naturally, therefore, people mostly living in these areas suffered grievously during natural calamities and famines.
The British introduced the railways in India in 1850 and it is considered as one of their most important contributions. The railways affected the structure of the Indian economy in two important ways. On the one hand, it enabled people to undertake long-distance travel and thereby break geographical and cultural barriers while, on the other hand, it fostered commercialisation of Indian agriculture which adversely affected the self-sufficiency of the village economies in India. The volume of India’s exports undoubtedly expanded but its benefits rarely accrued to the Indian people. The social benefits, which the Indian people gained owing to the introduction of the railways, were thus outweighed by the country’s huge economic loss. 

Q. Why did the rural areas suffer badly during natural calamities and famines?

Detailed Solution for DSSSB TGT Mathematics Mock Test - 2 - Question 18

The following has been stated in the passage: “There always remained an acute shortage of all-weather roads to reach out to the rural areas during the rainy season. Naturally, therefore, people mostly living in these areas suffered grievously during natural calamities and famines.”

DSSSB TGT Mathematics Mock Test - 2 - Question 19

Direction: Select the most appropriate word for the given group of words.
Full of cheerful excitement or enthusiasm.

Detailed Solution for DSSSB TGT Mathematics Mock Test - 2 - Question 19

Ebullient' is an 'adjective' which means 'cheerful and full of energy.'
Example: She sounded ebullient and happy.
Thus, the first option is the most appropriate choice.

DSSSB TGT Mathematics Mock Test - 2 - Question 20

Direction: Select the option that means the same as the given idiom.

Q. Tooth and nail

Detailed Solution for DSSSB TGT Mathematics Mock Test - 2 - Question 20

Given Idiom: Tooth and nail mean to compete for something ferociously.
Example: Denis fought tooth and nail to defend it.
​From the given options, only the first option best expresses the meaning of the given idiom/phrase.
So, the option "With all power" is correct.

DSSSB TGT Mathematics Mock Test - 2 - Question 21

Direction: Read the passage and answer the questions that follow.
Under the colonial regime, basic infrastructures such as railways, ports, water transport, posts and telegraphs did develop. However, the real motive behind this development was not to provide basic amenities to the people but to subserve various colonial interests. Roads constructed in India prior to the advent of the British rule were not fit for modern transport. The roads that were built primarily served the purposes of mobilising the army within India and drawing out raw materials from the countryside to the nearest railway station or the port to send these to far away England or other lucrative foreign destinations. There always remained an acute shortage of all-weather roads to reach out to the rural areas during the rainy season. Naturally, therefore, people mostly living in these areas suffered grievously during natural calamities and famines.
The British introduced the railways in India in 1850 and it is considered as one of their most important contributions. The railways affected the structure of the Indian economy in two important ways. On the one hand, it enabled people to undertake long-distance travel and thereby break geographical and cultural barriers while, on the other hand, it fostered commercialisation of Indian agriculture which adversely affected the self-sufficiency of the village economies in India. The volume of India’s exports undoubtedly expanded but its benefits rarely accrued to the Indian people. The social benefits, which the Indian people gained owing to the introduction of the railways, were thus outweighed by the country’s huge economic loss. 

Q. The word similar in meaning to “Outweigh” is:

Detailed Solution for DSSSB TGT Mathematics Mock Test - 2 - Question 21

Meaning of the words given in the options:
Overcome: (verb) succeed in dealing with a problem or difficulty. 
Measure: (verb) to assess the importance, effect, or value of something. 
Exaggerate: to represent something as being larger, better, or worse than it really is. 
Exceed: (verb)be greater in number or size than something 
Clearly, "exceed" is similar in meaning to "outweigh." 

DSSSB TGT Mathematics Mock Test - 2 - Question 22

Directions: Select the most appropriate antonym of the given word.

Q. RETRIEVE

Detailed Solution for DSSSB TGT Mathematics Mock Test - 2 - Question 22

Let's look at the meanings of the given word and marked option:

  • Damage- Physical harm caused to something in such a way as to impair its value, usefulness, or normal function.
  • Retrieve- Put right or improve (an unwelcome situation), get or bring (something) back.

Let's look at the meanings of the other given options: 

  • Protect- keep safe from harm or injury
  • Restore- bring back (a previous right, practice, custom, or situation); reinstate
  • Assist- help (someone), typically by doing a share of the work

Therefore, from the given meanings, we find that 'retrieve' and 'damage' are antonyms.

DSSSB TGT Mathematics Mock Test - 2 - Question 23

वह मानसिक स्थिति जब किसी अमंगल की घटना होने की बात मन में हो:

Detailed Solution for DSSSB TGT Mathematics Mock Test - 2 - Question 23

वह मानसिक स्थिति जब किसी अमंगल की घटना होने की बात मन में हो के लिए एक शब्द आशंका है। 
आशंका अर्थात अनिष्ट की सम्भावना से मन में होने वाली कल्पना। 

DSSSB TGT Mathematics Mock Test - 2 - Question 24

'गंगा हिमालय से निकलती है।' वाक्य में कौन‐सा कारक है?

Detailed Solution for DSSSB TGT Mathematics Mock Test - 2 - Question 24

जब संज्ञा या सर्वनाम के किसी रूप से किन्हीं दो वस्तुओं के अलग होने का बोध होता है, तब वहां अपादान कारक होता है।
'गंगा हिमालय से निकलती है।' वाक्य में अपादान कारक है।

DSSSB TGT Mathematics Mock Test - 2 - Question 25

'गुरतुर' में कौन सा प्रत्यय है ?

Detailed Solution for DSSSB TGT Mathematics Mock Test - 2 - Question 25

गुरतुर = गुर + तुर।
इसमें कृत प्रत्यय है।
कृत् प्रत्यय - जो प्रत्यय क्रिया के मूल रूप (धातु) से जोड़े जाते हैं, कृत् प्रत्यय कहलाते हैं।
अन्य विकल्प :

नोट - 'रतुर' प्रचलित प्रत्यय नहीं है।

DSSSB TGT Mathematics Mock Test - 2 - Question 26

पल्लवन का विलोम क्या होगा?

Detailed Solution for DSSSB TGT Mathematics Mock Test - 2 - Question 26

पल्लवन का अर्थ है विस्तार। ‘विस्तार’ का विलोम होगा ‘संक्षेप’। इस आधार पर ‘पल्लवन’ का विलोम होगा ‘संक्षेपण’। अतः सही विकल्प संक्षेपण है।

DSSSB TGT Mathematics Mock Test - 2 - Question 27

‘जगन्नाथ’ शब्द में सही सन्धि है:

Detailed Solution for DSSSB TGT Mathematics Mock Test - 2 - Question 27

जगत्+नाथ = जगन्नाथ में व्यंजन संधि है। व्यंजन के साथ स्वर अथवा व्यंजन के मेल से उस व्यंजन में जो रूपान्तरण होता है, उसे व्यंजन संधि कहते हैं।

DSSSB TGT Mathematics Mock Test - 2 - Question 28

निर्देश- निम्नलिखित गद्यांश को पढ़कर इस पर आधारित प्रश्नों के उत्तर दीजिये:
जिनमें सहिष्णुता की भावना होती है, केवल ऐसे लोग ही अध्यापक होने योग्य होते हैं। जिनका बच्चों से प्यार भरा लगाव होता है, उनमें धैर्य स्वभावत: आ जाता है। अध्यापाकों को जिस अन्तर्निहित गम्भीर समस्या से जूझना पड़ता है, वह यह है कि उन्हें जिनको देखना है वे शक्ति और प्रभुता में उनकी बराबरी के नहीं होते। अध्यापक के लिए एकदम तुच्छ या बिना किसी कारण के या फिर वास्तविक की बजाय किसी काल्पनिक कारण के चलते अपने छात्रों के सामने धैर्य खो देना, उनकी खिल्ली उड़ाना, उन्हें अपमानित या दण्डित करना एकदम आसान और सम्भव है। जो एक निर्बल अधीन राष्ट्र पर शासन करते हैं, उनमें न चाहते हुए भी गलत काम करने की प्रवृत्ति पायी जाती है। उसी तरह ऐसे अध्यापक होते हैं जो बच्चों को के ऊपर अपने प्रभुत्व का शिकार हो जाते हैं। जो शासन के अयोग्य होते हैं, उन्हें न केवल कमजोर लोगों पर अन्याय करते हुए कोई अपराध-बोध नहीं होता, बल्कि ऐसा करने में उन्हें एक खास तरह का मजा मिलता है। बच्चे अपनी माँ की गोद में कमजोर, असहाय और अज्ञानी होते हैं। माता के हृदय में स्थित प्रचुर प्यार ही उनकी रक्षा की एकमात्र गारण्टी होता है। इसके बावजूद हमारे घरों में इस बात के उदाहरण कम नहीं कि कैसे हमारे स्वाभाविक प्यार पर धीरज का अभाव और उद्धत प्राधिकार विजय प्राप्त कर लेते हैं और बच्चों को अनुचित कारणों से दण्डित होना पड़ता है।

Q. अध्यापक के लिए उचित विशेषण शब्द है:

Detailed Solution for DSSSB TGT Mathematics Mock Test - 2 - Question 28

जो शब्द संज्ञा या सर्वनाम शब्द की विशेषता बताते है उन्हें विशेषण कहते है। 
इसे हम ऐसे भी कह सकते है- जो किसी संज्ञा की विशेषता (गुण, धर्म आदि )बताये उसे विशेषण कहते है।
दूसरे शब्दों में- विशेषण एक ऐसा विकारी शब्द है, जो हर हालत में संज्ञा या सर्वनाम की विशेषता बताता है।
अध्यापक के लिए उचित विशेषण शब्द सहिष्णु है

DSSSB TGT Mathematics Mock Test - 2 - Question 29

If , then where is equal to:

Detailed Solution for DSSSB TGT Mathematics Mock Test - 2 - Question 29

Given,

(i)


As we know,




Squaring both sides, we get




(ii)

Comparing equation (i) and (ii), we get


DSSSB TGT Mathematics Mock Test - 2 - Question 30

Integrating factor of the differential equation  is:

Detailed Solution for DSSSB TGT Mathematics Mock Test - 2 - Question 30

As we know,

Form of a linear differential equation:

, where P and Q are the functions of x

Integrating factor = 

General solution is given by:

Given:

Differential equation is

Divide by on both sides, we get

Now, by comparing the above equation with

So,

Now,

Integrating factor = 

Let 1 - x2 = t

Differentiating with respect to x, we get

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