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DSSSB TGT Mathematics Mock Test - 3 - DSSSB TGT/PGT/PRT MCQ


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30 Questions MCQ Test DSSSB TGT Mock Test Series 2025 - DSSSB TGT Mathematics Mock Test - 3

DSSSB TGT Mathematics Mock Test - 3 for DSSSB TGT/PGT/PRT 2025 is part of DSSSB TGT Mock Test Series 2025 preparation. The DSSSB TGT Mathematics Mock Test - 3 questions and answers have been prepared according to the DSSSB TGT/PGT/PRT exam syllabus.The DSSSB TGT Mathematics Mock Test - 3 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 - 3 below.
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DSSSB TGT Mathematics Mock Test - 3 - Question 1

Which of the following act as an information source for making proteins in a cell ?

Detailed Solution for DSSSB TGT Mathematics Mock Test - 3 - Question 1

The DNA in the nucleus of a cell is the information source for making proteins. If the information is changed, different proteins will be made.

DSSSB TGT Mathematics Mock Test - 3 - Question 2

SI unit of resistivity is

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

As resistivity of the material of a resistor of length l, cross-section area A and resistance R is given by :ρ = R.A/I, hence SI unit of resistivity is ohm -metre (Ω m).

DSSSB TGT Mathematics Mock Test - 3 - Question 3

The part of the Indian Constitution that proclaims India to be a Welfare State is:

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

Part IV of the Indian Constitution provides for the Directive Principles of State Policy (DPSP). The idea of a Welfare State is inherent in these Directive Principles.

DSSSB TGT Mathematics Mock Test - 3 - Question 4

In this following question, four words have been given, out of which three are alike in some manner and the fourth one is different. Choose out the odd one out.

Detailed Solution for DSSSB TGT Mathematics Mock Test - 3 - Question 4

All except Vapour are forms of precipitation

DSSSB TGT Mathematics Mock Test - 3 - Question 5

Select the correct figure from the Answer Figure that would complete the Question Figure.
​​​​

Detailed Solution for DSSSB TGT Mathematics Mock Test - 3 - Question 5

figure inside the box moves 90 degree in clockwise direction each time.

DSSSB TGT Mathematics Mock Test - 3 - Question 6

Simple interest on a certain sum of money for 4 years at 5% per annum is half the compound interest on Rs. 3000 for 2 years at 10% per annum. The sum placed on simple interest is: 

Detailed Solution for DSSSB TGT Mathematics Mock Test - 3 - Question 6

C.I = P[(1 + r/100)n - 1]
C.I = 3000[(1 + 0.10)2 - 1]
= 3000(1.21 - 1)
⇒ 3000 * 0.21 
⇒ 630
S.I = 630/2
⇒ 315
As we know that, P = (SI * 100)/(R * T)
⇒ (315 * 100)/(4 * 5)
⇒ 1575

DSSSB TGT Mathematics Mock Test - 3 - Question 7

The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is:

Detailed Solution for DSSSB TGT Mathematics Mock Test - 3 - Question 7

Required number = (L.C.M. of 12, 15, 20, 54) + 8
= 540 + 8
= 548.

DSSSB TGT Mathematics Mock Test - 3 - Question 8

 Ravi got 70% in English and 56% in Biology and the maximum marks of both papers is 100. What percent does he score in Maths, if he scores 60% marks in all the three subjects?. Maximum Marks of Maths paper is 200.

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

70 + 56 + x = 60% of all three subjects

70 + 56 + x = 60% of 400 x

= 240 – 126 = 114 %

= 114/200 * 100 = 57%

DSSSB TGT Mathematics Mock Test - 3 - Question 9

Sides of a triangle are 15 m, 16 m and 11 m, then area of the triangle is:

Detailed Solution for DSSSB TGT Mathematics Mock Test - 3 - Question 9

Given,
Sides of a triangle are 15m, 16m and 11m
Formula:
When lengths of all three sides are given a, b and c, then
Area of the triangle = √[s (s – a) (s – b) (s – c)]
Here, s = (a + b + c)/2
Where, s = semi perimeter of the triangle
Calculation:
s = (15 + 16 + 11)/2
⇒ s = 42/2
⇒ s = 21
Area of the triangle =
⇒ √[21 × (21 – 15) × (21 – 16) × (21 – 11)]
⇒ √[21 × 6 × 5 × 10]
⇒ √(3 × 7 × 2 × 3 × 5 × 2 × 5)
⇒ 30√7 m2
∴ Area of the triangle = 30√7 m2

DSSSB TGT Mathematics Mock Test - 3 - Question 10

Directions: Read the following passage carefully and complete the following sentences.
A penguin is a water bird that can't fly. It has webbed feet and wings that look like flippers. It uses its wing flippers for underwater swimming. Many penguins live in the icy waters in or near Antarctica. They seldom visit land except to raise their young ones. Penguins have short legs and tall, torpedo­shaped, bodies. On land, they are able to stand upright, and because of their stature, they walk with a waddle. They may appear awkward, but penguins actually walk about as fast as people. They also climb rocky shores by hopping from rock to rock. Some penguins travel over ice and snow by ‘tobogganing’ sliding on their bellies. But penguins travel best by swimming, hour after hour. There are 17 species of penguins, ranging in size from the largest emperor penguin to the diminutive fairy penguin. Penguins will not cross warm ocean water; therefore, they are all found south of the equator. The Galapagos penguin lives in the farthest north, near the equator in the cold waters around the islands of the same name.
Penguins are popular around the world, primarily for their unusually upright, waddling gait and (compared to other birds) lack of fear of humans. Their striking black­and- white plumage is often likened to a tuxedo suit.

Q. What is the meaning of the word ‘gait’?

Detailed Solution for DSSSB TGT Mathematics Mock Test - 3 - Question 10
  • The first sentence of the second paragraph says "Penguins are popular around the world, primarily for their unusually upright, waddling gait and (compared to other birds) lack of fear of humans''.
  • From the above sentence, we can say that in the passage the word gait means ‘manner of walking.’

Hence, the only possible answer is option 3.

DSSSB TGT Mathematics Mock Test - 3 - Question 11

Direction: Read the following passage carefully and choose the best answer to each of the questions out of the four alternatives-
White cement is the basic raw material for producing cement tiles and cement paint which are used extensively in building construction. The main consumers of white cement are, therefore, cement tile and cement paint manufacturing units. These consumers, mostly in the small-scale sector, are today facing a major crisis because of a significant increase in the price of white cement during a short period. The present annual licensed production capacity of white and grey cement in the country is approximately 3.5 lakh tonnes. The average demand is 2-2.5 tonnes. This means that there is an idle capacity to the tune of one lakh tonnes or more. The price rise is, therefore, not a phenomenon arising out of inadequate production capacity but evidently because of artificial scarcity created by the manufacturers in their self-interest.
The main reason for the continuing spurt in cement price is its decontrol. As it is, there is stiff competition in the cement paint and tile manufacturing business. Any further price revision at this stage is bound to have a severe adverse impact on the market conditions. The Government should take adequate steps to ensure that suitable controls are brought in. Else it should allow the import of cement.

Q. What is the author’s suggestion to bring down prices?

Detailed Solution for DSSSB TGT Mathematics Mock Test - 3 - Question 11
  • The given passage is about 'Crisis in the Industry of White Cement'. 
  • The reason behind the price rise of White Cement is 'Decontrol'. "Decontrol'' means 'to remove official control on something, especially prices and businesses'.\
  • As per the author's suggestions 'The Government should take adequate steps to ensure that suitable controls are brought in.'
  • The government should control the white cement market. 

Therefore, as per the points mentioned above, we find that the correct answer is Option 1.
Government should control the white cement market. 

DSSSB TGT Mathematics Mock Test - 3 - Question 12

‘कवि’ शब्द का स्त्रीलिंग रूप क्या है ?

Detailed Solution for DSSSB TGT Mathematics Mock Test - 3 - Question 12

शब्द का स्त्रीलिंग रूप:
'कवि' शब्द का स्त्रीलिंग रूप होता है 'कवयित्री'।
विस्तृत व्याख्या:

  • कवि शब्द पुल्लिंग है और इसका अर्थ होता है कवि या कवी।
  • हिंदी भाषा में, स्त्रीलिंग रूप को बनाने के लिए, हम अक्सर '-त्री' का उपयोग करते हैं। उदाहरण के लिए, 'डॉक्टर' का स्त्रीलिंग रूप 'डॉक्ट्री' होता है।
  • इसी प्रकार, 'कवि' शब्द का स्त्रीलिंग रूप 'कवयित्री' होता है।
  • 'कवयित्री' शब्द का अर्थ होता है महिला कवि या कवयित्री।
DSSSB TGT Mathematics Mock Test - 3 - Question 13

तत्सम शब्द नहीं है-

Detailed Solution for DSSSB TGT Mathematics Mock Test - 3 - Question 13

कोढ़ तत्सम शब्द नहीं है। कोढ़ शब्द का तत्सम रूप कुष्ठ है। कुष्ठ का तद्भव रूप कोढ़ है।

DSSSB TGT Mathematics Mock Test - 3 - Question 14

'ओछे की प्रति बालू की भीति' का भाव है

Detailed Solution for DSSSB TGT Mathematics Mock Test - 3 - Question 14
  • ओछे की प्रीत बालू की भीत हिन्दी का एक प्रसिद्ध लोकोक्ति है जिसका प्रयोग अक्सर हिन्दी के लेख,निबंध आदि में किया जाता है।
  • भाषा की समृद्धि और उसकी अभिव्यक्ति क्षमता के विकास हेतु मुहावरों एवं कहावतों का प्रयोग उपयोगी होता है। 
  • लोकोक्ति शब्द का निर्माण दो शब्दों-“लोक’ और “उक्ति” से मिल कर हुआ है।
  • भाषा शास्त्र की दृष्टि से लोकोक्ति उस कथन को कहते हैं,जिसमें किसी प्रसंग विशेष का अर्थ स्पष्ट करने के लिए प्रयोग में लाई जाती हैं।
  • लोकोक्तियाँ समाज के मूल सिद्धांतों को प्रतिपादित करती हैं और यही कारण है की वे लोक-मानस में प्रसिद्ध और प्रचलित हो जाती हैं।
DSSSB TGT Mathematics Mock Test - 3 - Question 15

निर्देश: निम्नलिखित परिच्छेद पढ़िए और प्रश्नों के उत्तर दीजिए।
"संत साहित्य का प्रसार भारतीय संस्कृति के इतिहास में एक अनूठी घटना थी, उस बात से इनकार नहीं किया जा सकता। अचानक संस्कृति - प्रभुत्तव जो सैकड़ों साल से चला आ रहा था, खत्म होता दिखायी दिया। जनता की संस्कृति, जिसे पुरोहितों ने अबतक दबाया था, पुष्पित और पल्लवित होने लगी। जो लोग खुलकर पुरोहित के खिताफ एक शब्द न कह सकते थे, अब खुलेआम उन्हें चुनौती देने लगे। इसका कारण क्या था। क्या सामंती व्यवस्था के कमजोर हुए बिना यह संभव था ? 16वीं सदी के लगभग शेरशाह और अकबर के शासन  काल में उत्तर भारत में सामंती व्यवस्था काफी कमजोर हुई। नहरें खुदने और सड़कें बनने से यातायात में उन्नति हुई; एक तरह की मुद्रा के चलन से व्यापार में सुविधा हुई; राज्य और काश्तकार में सीधा संबंध स्थापित होने से जनपदो का अलगाव कम हुआ; बारूद के इस्तेमाल से केंद्रीय राज्यसत्ता जागीरदारों की स्वच्छन्दता कम करके उन्हें अपने मातहत कर सकी; यूरोप में भारत का व्यापार बहुत बड़े पैमाने पर आगे बढ़ा; उत्तर भारत में शहरों की संख्या ही नहीं बढ़ी, उनकी जनसंख्या और उनका व्यवसायी महत्त्व भी बढ़ा; जगह-जगह अपने अधिकारों के लिए जनता ने संघर्ष किए और इस तरह भी उसकी एकता बढ़ी। इन परिस्थितियों में सामंती ढाँचा जर्जर हुआ। उस ढॉंचे के भी व्यापारियों द्वारा पैदा किए पूंजीवादी संबंध जन्म लेने लगे। पुराने जनपदों का अलगाव काफी दूर हुआ और वेमिलकर एक जाति (नेशन) के रूप में संगठित होने लगे। भक्ति आंदोलन इस जातीय आंदोलन का सांस्कृतिक प्रतिबिम्ब था।"

Q. 'भक्ति आंदोलन जातीय आंदोलन का सांस्कृतिक प्रतिबिम्ब था' से लेखक का आशय है- 

Detailed Solution for DSSSB TGT Mathematics Mock Test - 3 - Question 15

भक्ति आंदोलन ने सामंती व्‍यवस्‍था को तोड़ने का काम किया।

  • भक्ति आन्दोलन ने निम्न वर्ग और हाशिये पर ठहरे समाज को मुख्यधारा से जोड़ने का काम किया।
  • जगह जगह जनता ने अपने अधिकारों के लिए संघर्ष किये।
  • भारत के विकास के कारण जनता को अपने अधिकार समझ आये।
  • इस तरह सदियों से चली आ रही सामंती और ब्राह्मणवादी व्यवस्था को चोट पंहुची।
DSSSB TGT Mathematics Mock Test - 3 - Question 16

निर्देश: निम्नलिखित परिच्छेद पढ़िए और प्रश्नों के उत्तर दीजिए।
"संत साहित्य का प्रसार भारतीय संस्कृति के इतिहास में एक अनूठी घटना थी, उस बात से इनकार नहीं किया जा सकता। अचानक संस्कृति - प्रभुत्तव जो सैकड़ों साल से चला आ रहा था, खत्म होता दिखायी दिया। जनता की संस्कृति, जिसे पुरोहितों ने अबतक दबाया था, पुष्पित और पल्लवित होने लगी। जो लोग खुलकर पुरोहित के खिताफ एक शब्द न कह सकते थे, अब खुलेआम उन्हें चुनौती देने लगे। इसका कारण क्या था। क्या सामंती व्यवस्था के कमजोर हुए बिना यह संभव था ? 16वीं सदी के लगभग शेरशाह और अकबर के शासन  काल में उत्तर भारत में सामंती व्यवस्था काफी कमजोर हुई। नहरें खुदने और सड़कें बनने से यातायात में उन्नति हुई; एक तरह की मुद्रा के चलन से व्यापार में सुविधा हुई; राज्य और काश्तकार में सीधा संबंध स्थापित होने से जनपदो का अलगाव कम हुआ; बारूद के इस्तेमाल से केंद्रीय राज्यसत्ता जागीरदारों की स्वच्छन्दता कम करके उन्हें अपने मातहत कर सकी; यूरोप में भारत का व्यापार बहुत बड़े पैमाने पर आगे बढ़ा; उत्तर भारत में शहरों की संख्या ही नहीं बढ़ी, उनकी जनसंख्या और उनका व्यवसायी महत्त्व भी बढ़ा; जगह-जगह अपने अधिकारों के लिए जनता ने संघर्ष किए और इस तरह भी उसकी एकता बढ़ी। इन परिस्थितियों में सामंती ढाँचा जर्जर हुआ। उस ढॉंचे के भी व्यापारियों द्वारा पैदा किए पूंजीवादी संबंध जन्म लेने लगे। पुराने जनपदों का अलगाव काफी दूर हुआ और वेमिलकर एक जाति (नेशन) के रूप में संगठित होने लगे। भक्ति आंदोलन इस जातीय आंदोलन का सांस्कृतिक प्रतिबिम्ब था।"

Q. शेरशाह और अकबर के शासन काल के कौन से गुण ने भक्ति आंदोलन को फैलने में मदद पहुॅचायी ?

Detailed Solution for DSSSB TGT Mathematics Mock Test - 3 - Question 16

विस्तृत , उदारवादी, और स्थायी साम्राज्य उत्तर भारत में पनपा।
सामंत व्यवस्था कमजोर हुई और पूंजीवाद ने जड़ पकड़ी।
लोगों में ब्राह्मणवाद के खिलाफ एक ऊर्जा संचारित हुई और इस तरह संत साहित्य ने जन्म लिया।

DSSSB TGT Mathematics Mock Test - 3 - Question 17

What is the square root of (8 - 6i), Where  = i?

Detailed Solution for DSSSB TGT Mathematics Mock Test - 3 - Question 17

Let  = x + iy

Squaring both sides, we get

⇒ 8 - 6i = (x + iy)2

⇒ 8 - 6i = x2 + (iy)2 + i2xy

⇒ 8 - 6i = x2 - y2 + i2xy

Compare real and imaginary parts,

∴ x2 – y2 = 8 and 2xy = -6

2xy = -6 

⇒ y =        …. (1)

Now, x2 – y2 = 8

⇒ x2 –  = 8

⇒ x4 – 9 = 8x2

⇒ x4 – 8x2 - 9 = 0

⇒  x4 – 9x2 + x2 - 9 = 0

⇒ x2 (x2 - 9) + 1 (x2 - 9) = 0

⇒ (x2  + 1) (x2 - 9) = 0

So, (x2  + 1) = 0 ⇒ x2 ≠ -1

And (x2 - 9) = 0

∴ x = ± 3

Put the value of x in equation 1st

If x = 3 than y = -1

If x = -3 than y = 1

So, square root of (8 - 6i) = (3 - i) or (-3 + i)

∴  (3 - i)

DSSSB TGT Mathematics Mock Test - 3 - Question 18

Find the sum of the series 1 + 4 + 9 +16 + 25 + 36 +......+ 121.

Detailed Solution for DSSSB TGT Mathematics Mock Test - 3 - Question 18

Given, 

1 + 4 + 9 +16 + 25 + 36 +......+ 121

The given series can be re-written as,

As we know that,


Here, n = 11

DSSSB TGT Mathematics Mock Test - 3 - Question 19

The relation in defined as is:

Detailed Solution for DSSSB TGT Mathematics Mock Test - 3 - Question 19

Given:


∴ R is reflexive.

∴ R is not symmetric.

and

∴ R is transitive.
R is reflexive and transitive but not symmetric.

DSSSB TGT Mathematics Mock Test - 3 - Question 20

Solve the system of equations: x + 2y = 3 and 2x + 3y = 4 by cramer’s rule.

Detailed Solution for DSSSB TGT Mathematics Mock Test - 3 - Question 20

Let us consider a system of equations in two variables:

Then, 

By cramer's rule the solution of system of equation has unique solution if  Δ ≠ 0 and the solution is given by: 

Similarly, by cramer's rule if Δ = 0 and at least one of the determinants Δ1 and Δ2 is non-zero, then the system of equations is inconsistent.
Given,

x + 2y = 3 and 2x + 3y = 4

The given system of equations has a unique solution.
As we know that, by Cramer's rule the solution of the system of the equation has a unique solution if Δ ≠ 0 and the solution is given by:

DSSSB TGT Mathematics Mock Test - 3 - Question 21

then what is equal to?

Detailed Solution for DSSSB TGT Mathematics Mock Test - 3 - Question 21

Given: 


We know that:


Differentiating both sides, we get,

DSSSB TGT Mathematics Mock Test - 3 - Question 22

In the expansion of the value of constant term (independent of x) is:

Detailed Solution for DSSSB TGT Mathematics Mock Test - 3 - Question 22

Let term is independent of x.




Equating the coefficient of to zero.




Coefficient


DSSSB TGT Mathematics Mock Test - 3 - Question 23
Coefficient of x in the expansion of  is:
Detailed Solution for DSSSB TGT Mathematics Mock Test - 3 - Question 23

In the expansion of the general term is

the general term for, is

Thus, coefficient of is

DSSSB TGT Mathematics Mock Test - 3 - Question 24

An aeroplane when flying at a height of m from the ground passes vertically above another aeroplane at an instant, when the angles of elevation of the two aeroplanes form the same point on the ground are and respectively. The vertical distance between the aeroplanes at that instant (in km) is

Detailed Solution for DSSSB TGT Mathematics Mock Test - 3 - Question 24

Let, the aeroplane above be at point and the one below be at point .
Let be the point of the observance.
In and
In and
we get,
Also,
In
Distance between the aero planes 
m
km

DSSSB TGT Mathematics Mock Test - 3 - Question 25

The points P(3, 2, 4), Q(4, 5, 2), R(5, 8, 0) and S(2 -1, 6) are:

Detailed Solution for DSSSB TGT Mathematics Mock Test - 3 - Question 25

Concept:

Let and

  • Distance between and

Calculation:

Given points are P(3, 2, 4), Q(4, 5, 2), R(5, 8, 0) and S(2 -1, 6).

Here, We can write

So, points are collinear.

DSSSB TGT Mathematics Mock Test - 3 - Question 26

For any integers a and , and positive integer , consider the following statement:

Statement: 1 If and then .

Statement: 2 If , and is a positive integer, then

Statement: 3 If and if , then we have .

Which of the following statement is/are correct.

Detailed Solution for DSSSB TGT Mathematics Mock Test - 3 - Question 26

1. If and then,


2. If mod , and is a positive integer, then

3. If and if , then we have .

We can see that,

Statement 1, 2 & 3 are correct.

DSSSB TGT Mathematics Mock Test - 3 - Question 27

If A = {x, y, z} and B = {1, 2}. Find the number of relations from A to B ?

Detailed Solution for DSSSB TGT Mathematics Mock Test - 3 - Question 27

Given,

A = {x, y, z} and B = {1, 2}

⇒ n(A) = 3 and n(B) = 2

As we know that, 

If A and B are two non-empty sets such that n(A) = p and n(B) = q then the number of relations that can be defined from A to B = 2pq 

Here, p = 3 and q = 2

So, the number of relations from A to B = 2

DSSSB TGT Mathematics Mock Test - 3 - Question 28

Find the value of .

Detailed Solution for DSSSB TGT Mathematics Mock Test - 3 - Question 28

Given,

DSSSB TGT Mathematics Mock Test - 3 - Question 29

The position vectors of the points A and B are respectively 3î - 5ĵ + 2k̂ and î + ĵ - k̂. What is the length of AB?

Detailed Solution for DSSSB TGT Mathematics Mock Test - 3 - Question 29

Given:

Position vectors of the points and are respectively and

Now, length of

DSSSB TGT Mathematics Mock Test - 3 - Question 30

A force acts at an angle of with horizontal. If its resolved pat in horizontal direction is kg-weight, then the force is

Detailed Solution for DSSSB TGT Mathematics Mock Test - 3 - Question 30

A single force F can be resolved into two component.

or Horizontal component

or Vertical component

Given, and

Horizontal direction or

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