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DSSSB PGT Mathematics Mock Test - 8 - DSSSB TGT/PGT/PRT MCQ


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30 Questions MCQ Test - DSSSB PGT Mathematics Mock Test - 8

DSSSB PGT Mathematics Mock Test - 8 for DSSSB TGT/PGT/PRT 2024 is part of DSSSB TGT/PGT/PRT preparation. The DSSSB PGT Mathematics Mock Test - 8 questions and answers have been prepared according to the DSSSB TGT/PGT/PRT exam syllabus.The DSSSB PGT Mathematics Mock Test - 8 MCQs are made for DSSSB TGT/PGT/PRT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for DSSSB PGT Mathematics Mock Test - 8 below.
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DSSSB PGT Mathematics Mock Test - 8 - Question 1

Which one will replace the question mark ?

Detailed Solution for DSSSB PGT Mathematics Mock Test - 8 - Question 1

(18 x 12)/3 = 72

and (32 x 16)/4 = 128

Therefore, (24 x 14)/? = 112

(336/?) = 112

? = (336/112)

? = 3.

DSSSB PGT Mathematics Mock Test - 8 - Question 2

A , B , C , D and E each has different heights. D is only shorter than B. E is shorter than A and C. Who is the shortest of them ?

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

According to the question,
B > D
A and C > E
∴ B > D > A and C > E
Clearly, shortest = E

So Option A is correct

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DSSSB PGT Mathematics Mock Test - 8 - Question 3

Tectonic plateaus are formed due to Earth movements that cause uplifts. Consider the following statements:

1. Meseta of Central Iberia

2. Harz of Germany

3. Bolivian plateau found between two ranges of Andes

Which of the following are tectonic plateaus found on Earth?

Detailed Solution for DSSSB PGT Mathematics Mock Test - 8 - Question 3

All are due to tectonic reasons. Some plateaus like these are found between fold mountains such as the Bolivian plateau. These are distinct from the volcanic plateaus that are formed due to the flow and consolidation of lava.

DSSSB PGT Mathematics Mock Test - 8 - Question 4
What type of bill can be introduced only in the Lok Sabha and not in the Rajya Sabha?
Detailed Solution for DSSSB PGT Mathematics Mock Test - 8 - Question 4
A Money Bill can be introduced only in the Lok Sabha, and it deals with matters related to taxation, borrowing, and expenditure.
DSSSB PGT Mathematics Mock Test - 8 - Question 5

Considering the locations of mountains in India, which one among the following is in the right sequence from south to north?

Detailed Solution for DSSSB PGT Mathematics Mock Test - 8 - Question 5
Doddabetta is the highest mountain in the Nilgiri Hills (Tamil Nadu)at 2,637 metres. The Vindhyas run across most of central India. The Dhaulagiri massif in Nepal extends 120 km from the Kaligandaki River west to the Bheri. Mt. Kailash peak is standing in the remote south-west corner of Tibet in the Himalayan Mountains.

DSSSB PGT Mathematics Mock Test - 8 - Question 6

Regarding colonial India, the Treaty of Sagauli is concerned with which of the following South Asian neighbours with which present-day India shares a porous border?

Detailed Solution for DSSSB PGT Mathematics Mock Test - 8 - Question 6
  • In 1816, the Treaty of Sagauli was concluded.

  • The Gurkhas gave up their claim over the Terai region and ceded Kumaon and Garhwal areas to the British.

  • The British now secured the area around Shimla, and their northwestern borders touched the Himalayas.

  • The Gurkhas had to withdraw from Sikkim and also agreed to keep a British Resident at Kathmandu.

  • It was also agreed that Nepal's kingdom would not employ any other foreigner in its services other than the English. The British had also obtained the sites of hill stations like Shimla, Mussoorie, Nainital and Ranikhet and developed them as tourist and health resorts.

  • After this victory in the Gurkha War, Hastings was honoured with English peerage and became Marquis of Hastings.

DSSSB PGT Mathematics Mock Test - 8 - Question 7
What were the political demands of the Moderate leaders?
Detailed Solution for DSSSB PGT Mathematics Mock Test - 8 - Question 7
The political demands of the Moderate leaders included an increase in the employment of Indians to civil services, expansion of membership of legislative bodies, and the repeal of the Sedition Act of 1898.
DSSSB PGT Mathematics Mock Test - 8 - Question 8

Consider the following statements.

1. Grooves and hollows are cut in the rock surfaces, carving them into fantastic and grotesque looking pillars called rock pedestals

2. The process of undercutting produces rocks of mushroom shape called mushroom rocks or gour in the Sahara

Which of these statements are not correct?

Detailed Solution for DSSSB PGT Mathematics Mock Test - 8 - Question 8
  • Grooves and hollows are cut in the rock surfaces, carving them into fantastic and grotesque- looking pillars called rock pedestals. Such rock pillars will be further eroded near their bases where the friction is greatest.

  • This process of undercutting produces rocks of mushroom shape called mushroom rocks or gour in the Sahara.

DSSSB PGT Mathematics Mock Test - 8 - Question 9

GREGARIOUS

Detailed Solution for DSSSB PGT Mathematics Mock Test - 8 - Question 9

Gregarious adjective – Likely to seek or enjoy the company of others. Antisocial is an antonym for gregarious in outgoing topic.

DSSSB PGT Mathematics Mock Test - 8 - Question 10

Direction: Read the following passage carefully and answer the questions. Your answer to these questions should be based on passage only.
Work expands so as to fill the time available for its completion. The general recognition of this fact is show in the proverbial phrase, 'It is the busiest man who has time to spare. 'Thus, an elderly lady at leisure can spend the entire day writing a postcard to her niece. An hour will be spent in finding the postcard, another hunting for spectacles, half an hour to search for the address, an hour and a quarter in composition and twenty minute in deciding whether or not to take an umbrella when going to the pillar box in the street. The total effort that would occupy a busy man for three minutes, all told, may in this fashion leave another person completely exhausted after a day of doubt, anxiety and toil.

Q. What is the total time spent by the elderly lady in writing a postcard?

Detailed Solution for DSSSB PGT Mathematics Mock Test - 8 - Question 10

The answer is (d) and it based on the information given in the passage.

DSSSB PGT Mathematics Mock Test - 8 - Question 11

Direction: The martyrs, who laid down their lives for the freedom of the country, had a lofty vision of the future. They wanted the nation to be free from all the slavery and bondage. They wanted the India in which all the communities would live in perfect harmony and in which there would be no high class and no low class of people, the curse of untouchability having been wiped out completely. Women would enjoy equal rights with men and contribute their fullest to the making of a great nation. Such a vision was in keeping with the ancient glory of the country renowned for its splendid achievements in literature, art and culture, We must now revitalize this ancient culture of ours with tolerance as its masthead. If we forget to take pride in our noble heritage, we shall have to face severe indictment in the court of history which is a ruthless judge and seldom spares the erring people.

Q. These martyrs wanted that?

Detailed Solution for DSSSB PGT Mathematics Mock Test - 8 - Question 11

This is mentioned in the third sentence of the passage.

DSSSB PGT Mathematics Mock Test - 8 - Question 12

Directions: In the following questions, some of the sentences have errors and some have none. Find out which part of a sentence has an error and mark the appropriate letter (1), (2) and (3). If there is no error, mark (4).

Please send (1) / the letter on(2) / my business address. (3) / No error (4)

Detailed Solution for DSSSB PGT Mathematics Mock Test - 8 - Question 12

Here, the word on will be replaced with the word to.

The new sentence would be "Please send the letter to my business address."

DSSSB PGT Mathematics Mock Test - 8 - Question 13

Statements:
Some papers are pens.
All the pencils are pens.

Conclusions:
1. Some pens are pencils.
2. Some pens are papers.

Detailed Solution for DSSSB PGT Mathematics Mock Test - 8 - Question 13

Both (1) and (2) follow because the statement "some papers are pens" can be converted into "some pens are papers" and the statement "all pencils are pens" can be converted into "some pens are pencils". Therefore, both (1) and (2) conclusions follows.

​​​​​​

DSSSB PGT Mathematics Mock Test - 8 - Question 14

X Can finish a piece of work in 12 days while Y can do it in 15 days. If both work at it together. How much time will they take to do the work?

Detailed Solution for DSSSB PGT Mathematics Mock Test - 8 - Question 14

Efficiency of A = 100 / 12 = 8.33%
Efficiency of B = 100 / 15 = 6.66%
Combined efficiency of A and B = 8.33 + 6.66 = 15%
Number of days taken by A and B, when working together = 100 / 15 = 
Note : Efficiency x Time period = Fixed amount of work
Also, in terms of percentage total work to be done is considered as 100% (in fraction it is 1), unless otherwise stated.
Alternatively : It can be done through unitary method, also.

DSSSB PGT Mathematics Mock Test - 8 - Question 15

Efficiency of Asha is 25% more than Usha and Usha takes 25 days to complete a piece of work, Asha started a work alone and then Usha joined her 5 days before actual completion of the work. For how many days Asha worked alone?

Detailed Solution for DSSSB PGT Mathematics Mock Test - 8 - Question 15


∴ Number of days required by Asha to finish the work alone = 20
  ► ∴ (4 x = 4 x 5)
(Alternatively, from percentage change graphic, number of days taken by Asha will be 20% less than Usha, if efficiency of Asha is 25% more than Usha)
Now, since Asha and Usha did work together for last 5 days = 5 x 9 = 45%
(Since efficiency of Asha = 5% and Usha's efficiency = 4%)
It means Asha completed 55% work alone
∴ Number of days taken by Asha to complete 55% work = 55 / 5 = 11

DSSSB PGT Mathematics Mock Test - 8 - Question 16

Divide Rs. 3903 between Amar and Akbar such that Amar’s share at the end of 7 years is equal to Akbar’s share at the end of 9 years at 4% p.a. rate of compound interest.

Detailed Solution for DSSSB PGT Mathematics Mock Test - 8 - Question 16

Akbars’ share should be such that at 4% p.a. compound interest it should become equal to Amar’s share in 2 years. Checking thorugh the options it is clear that option (a) fits perfectly as 1875 would become 2028 in 2 years @4% p.a. compound interest.

DSSSB PGT Mathematics Mock Test - 8 - Question 17

निर्देशः नीचे दिए गए अपठित गद्यांश को ध्यानपूर्वक पढ़ें एवं उस पर आधारित प्रश्न के उत्तर दें।
चुनाव पूर्व सर्वेक्षण एवं एक्जिट पोल का लोकतन्त्र में क्या महत्त्व है? यह प्रश्न विचारणीय है। लोकतन्त्र रूपी वृक्ष जनता द्वारा रोपा और सींचा जाता है, इसके पल्लवन एवं पुष्पन में मीडिया की विशेष भूमिका होती है। भारत एक लोकतान्त्रिक राष्ट्र है। लोकतान्त्रिक राष्ट्र में नागरिकों को विशिष्ट अधिकार और स्वतन्त्रताएँ प्राप्त होती हैं। भारतीय संविधान ने भी अनुच्छेद 19 (i) के अन्तर्गत नागरिकों को अभिव्यक्ति की स्वतन्त्रता प्रदान की है, लेकिन जनता के व्यापक हित पर प्रतिकूल प्रभाव डालने वाली स्वतन्त्रता बाधित भी की जानी चाहिए। भारत जैसे अल्पशिक्षित देश में इस प्रकार के सर्वेंक्षण अनुचित हैं। देश की आम जनता पर मीडिया द्वारा किए जाने वाले चुनाव पूर्व सर्वेक्षण और चुनाव के तुरन्त पश्चात् किए जाने वाले एक्जिट पोल का भ्रामक प्रभाव पड़ता है। वह विजयी होती पार्टी की ओर झ़ुक जाती है। आज भी सामान्य लोगों के बीच ये आम धारणा है कि हम अपना वोट खराब नहीं करेंगे, जीतने वाले प्रत्याशी को ही वोट देंगे। वर्तमान में बाजारवाद अपने उत्कर्ष पर है और मीडिया इसके दुष्प्रभाव से अनछुआ नहीं है। यह कहना अतिशयोक्ति न होगी कि आज मीडिया भी अधिकाधिक संख्या में प्रसार और धन पाने को बुभुक्षित है। मीडिया सत्ताधारी और मजबूत राजनीतिक दलों के प्रभाव में भी रहता है। ये दल धन के. बल पर लोक रुझान को अपने पक्ष में दिखाने में सफल हो जाते हैं और सम्पूर्ण चुनाव प्रक्रिया को ही धता बता देते हैं। इस प्रकार सत्ता एवं धन इन सर्वेक्षणों को प्रभावित करते हैं। इन्हें दूध का धुला नहीं कहा जा सकता। भारत जैसे लोकतान्त्रिक राष्ट्र में जहाँ जनता निर्वाचन प्रक्रिया के माध्यम से अपना मत अभिव्यक्त करती है, वहाँ इन सर्वेक्षणों के औचित्य-अनौचित्य पर विचार किया जाना चाहिए। न्यायालय को यदि संविधान के अनुसार चलने की बाध्यता है, तो संसद को संविधान में संशोधन करने की शक्ति प्राप्त है। वह अपने अधिकारों का प्रयोग करके कोई सार्थक प्रयास कर सकती है।

Q. लेखक ने 'दूध का धुला न होना' किसे कहा है?-सा है?

Detailed Solution for DSSSB PGT Mathematics Mock Test - 8 - Question 17

गद्यांश के अनुसार, “यह कहना अतिशयोक्ति न होगी कि आज मीडिया भी अधिकाधिक संख्या में प्रसार और धन पाने को बुभुक्षित है। मीडिया सत्ताधारी और मजबूत राजनीतिक दलों के प्रभाव में भी रहता है। ये दल धन के. बल पर लोक रुझान को अपने पक्ष में दिखाने में सफल हो जाते हैं और सम्पूर्ण चुनाव प्रक्रिया को ही धता बता देते हैं। इस प्रकार सत्ता एवं धन इन सर्वेक्षणों को प्रभावित करते हैं। इन्हें दूध का धुला नहीं कहा जा सकता।”

DSSSB PGT Mathematics Mock Test - 8 - Question 18

नवल सुन्दर श्याम शरीर में कौन-सा अलंकार है?

Detailed Solution for DSSSB PGT Mathematics Mock Test - 8 - Question 18

उपरोक्त वाक्य मे उल्लेख अलंकार है।
जहां पर एक ही वस्तु का विभिन्न व्यक्तियों द्वारा अनेक प्रकार से उल्लेख किया जाए, वहां पर उल्लेख अलंकार होता है।

DSSSB PGT Mathematics Mock Test - 8 - Question 19

दिए गए विकल्पों में से तत्सम शब्द को चुनेंः

Detailed Solution for DSSSB PGT Mathematics Mock Test - 8 - Question 19

दिए गए विकल्पों में “कपोत” तत्सम शब्द है जिसका तद्भव “कबूतर” होता है।
अन्य दिए गए तद्भव शब्दों का सही तत्सम है-
उछाह - उत्साह
ओखली - उलूखल
किसान - कृषक

DSSSB PGT Mathematics Mock Test - 8 - Question 20

'गिरीश' में कौन सी संधि है?

Detailed Solution for DSSSB PGT Mathematics Mock Test - 8 - Question 20

गिरीश = गिरि + ईश= दीर्घ संधि
इस संधि को बनाने का नियम- (इ + ई = ई)
जहाँ पर दो समान ह्रस्व या दीर्घ स्वर आते है वहाँ दीर्घ संधि होती है।

DSSSB PGT Mathematics Mock Test - 8 - Question 21

इनमें से कौन सा शब्द पुंलिंग है?

Detailed Solution for DSSSB PGT Mathematics Mock Test - 8 - Question 21

गिलास शब्द पुल्लिंग है। संज्ञा के शब्दों से पुरुष जाति का पता चलता है, उसे पुल्लिंग कहते हैं। जैसे – पिता, राजा, घोड़ा, कुत्ता, आदमी, शिव, हनुमान, शेर, सेठ, मकान आदि।

DSSSB PGT Mathematics Mock Test - 8 - Question 22

Which term of the GP 3, 9, 27, 81, ..... is 6561?

Detailed Solution for DSSSB PGT Mathematics Mock Test - 8 - Question 22

Given: The sequence 3, 9, 27, 81, ..... is a GP.

Here, we have to find which term of the given sequence is 6561.

As we know that, the the general term of a GP is given by:

Hrere, a = 3, r = 3 and let an = 6561.

So, 6561 is the 8th term of the given sequence.

DSSSB PGT Mathematics Mock Test - 8 - Question 23

If and , then

Detailed Solution for DSSSB PGT Mathematics Mock Test - 8 - Question 23

We have and .

and

Using the chain rule of derivatives, we have:

Now,

DSSSB PGT Mathematics Mock Test - 8 - Question 24

One of the roots of the equation x2 – 12x + k = 0 is x = 3. The other root is:

Detailed Solution for DSSSB PGT Mathematics Mock Test - 8 - Question 24

Concept:

Roots of a quadratic equation satisfy the equation, so by putting the value of one root,

One can find the unknown variable and hence the other root.

Let us put x = 3 in the equation x2 – 12x + k = 0,

⇒ 9 – 36 + k = 0

⇒ k = 27

Putting the value of k in the equation,

we get: x2 – 12x + 27 = 0

⇒ x2 – 9x – 3x + 27 = 0

⇒ x(x – 9) – 3 (x – 9) = 0

⇒ (x – 3)(x – 9) = 0

⇒ x = 3 and 9

∴ Other root of the equation is 9.

DSSSB PGT Mathematics Mock Test - 8 - Question 25

The eigenvalues of a Hermitian matrix are _________.

Detailed Solution for DSSSB PGT Mathematics Mock Test - 8 - Question 25

Hermitian matrix: square matrix is said to be Hermitian if for all .

The necessary and sufficient condition for matrix to be a Hermitian is that

The diagonal element of a Hermitian matrix is purely real.

Example: is a hermitian matrix.

The eigenvalue of a real symmetric (or Hermitian) matrix is always real and the eigenvalues of a real skew-symmetric (or skew Hermitian) matrix are either zero or purely imaginary.

DSSSB PGT Mathematics Mock Test - 8 - Question 26

A coin is tossed twice. If and denote occurrence of head on first toss and second toss respectively, then what is equal to?

Detailed Solution for DSSSB PGT Mathematics Mock Test - 8 - Question 26

Probability of getting head on first toss

Probability of getting head on first toss

Since the events are independent

DSSSB PGT Mathematics Mock Test - 8 - Question 27

Find the roots of .

Detailed Solution for DSSSB PGT Mathematics Mock Test - 8 - Question 27

Given,

The roots are and .

DSSSB PGT Mathematics Mock Test - 8 - Question 28

If equation and equation have common roots, then find the value of common root.

Detailed Solution for DSSSB PGT Mathematics Mock Test - 8 - Question 28

Given:

The given equations are and

As we know,

Roots of the equation of , is .

Now,

Taking,

Taking,

Roots of the equation are and .

Similarly,

So,

Or,

Roots of the equation are and .

The common root is .

DSSSB PGT Mathematics Mock Test - 8 - Question 29

The maximum value of is:

Detailed Solution for DSSSB PGT Mathematics Mock Test - 8 - Question 29

Given:

Formula:

cos2B - cos2A = sin (A + B) sin (A - B)

Calculation:

This value is maximum when is minimum.

Since

Maximum value of given function is .

DSSSB PGT Mathematics Mock Test - 8 - Question 30

What is the mean of marks in Physics?

Detailed Solution for DSSSB PGT Mathematics Mock Test - 8 - Question 30

The table follows:


Therefore, the mean is:

Therefore, the mean is 40.9.
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