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DSSSB PGT Mathematics Mock Test - 1 - DSSSB TGT/PGT/PRT MCQ


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30 Questions MCQ Test DSSSB PGT Mock Test Series 2025 - DSSSB PGT Mathematics Mock Test - 1

DSSSB PGT Mathematics Mock Test - 1 for DSSSB TGT/PGT/PRT 2025 is part of DSSSB PGT Mock Test Series 2025 preparation. The DSSSB PGT Mathematics Mock Test - 1 questions and answers have been prepared according to the DSSSB TGT/PGT/PRT exam syllabus.The DSSSB PGT Mathematics Mock Test - 1 MCQs are made for DSSSB TGT/PGT/PRT 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for DSSSB PGT Mathematics Mock Test - 1 below.
Solutions of DSSSB PGT Mathematics Mock Test - 1 questions in English are available as part of our DSSSB PGT Mock Test Series 2025 for DSSSB TGT/PGT/PRT & DSSSB PGT Mathematics Mock Test - 1 solutions in Hindi for DSSSB PGT Mock Test Series 2025 course. Download more important topics, notes, lectures and mock test series for DSSSB TGT/PGT/PRT Exam by signing up for free. Attempt DSSSB PGT Mathematics Mock Test - 1 | 300 questions in 180 minutes | Mock test for DSSSB TGT/PGT/PRT preparation | Free important questions MCQ to study DSSSB PGT Mock Test Series 2025 for DSSSB TGT/PGT/PRT Exam | Download free PDF with solutions
DSSSB PGT Mathematics Mock Test - 1 - Question 1

Ram and shyam are two friends talking with each other. The shadow of Ram falls on the right side of Shyam. If ram is facing north then the direction in which Shyam is facing.

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

DSSSB PGT Mathematics Mock Test - 1 - Question 2

If SELDOM is written as MFTLNC, how will PRINCE be written?

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

S E L D O M - M F T L N C

Case 1:
S + 1 = T
E + 1 = F
L + 1 = M

S E L → T F M → M F T

Case 2:
D - 1 = C
O - 1 = N
M - 1 = L

D O M → C N L → L N C

Resulting: SELDOM → MFTLNC

Similarly, PRINCE → JSQDBM

DSSSB PGT Mathematics Mock Test - 1 - Question 3

Which one of the following was the most well known powerful and first group of nobles created during the Sultanate period?

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

The Turkan-i-Chahalgani were the most prominent and powerful group of nobles during the Sultanate period. Here are some key points about them:

  • The Turkan-i-Chahalgani played a crucial role in the administration and governance of the Sultanate.
  • They were primarily composed of military leaders and influential nobles.
  • This group was known for its loyalty to the Sultan and significantly impacted political dynamics.
  • Their influence extended over various regions, contributing to the stability of the Sultanate.

In summary, the Turkan-i-Chahalgani were distinguished as the first major noble group during the Sultanate, showcasing their power and significance in shaping the era.

DSSSB PGT Mathematics Mock Test - 1 - Question 4

The biggest island of the Indian Ocean is

Detailed Solution for DSSSB PGT Mathematics Mock Test - 1 - Question 4
The biggest Island of the Indian Ocean is Madagascar. Madagascar, officially the Republic of Madagascar and previously known as the Malagasy Republic, is an island country in the Indian Ocean, off the coast of Southeast Africa.

DSSSB PGT Mathematics Mock Test - 1 - Question 5

What was the title of the administrative officer of a port during the Mughal period?

Detailed Solution for DSSSB PGT Mathematics Mock Test - 1 - Question 5

The administrative officer of a port during the Mughal period was called Shah bandar.

DSSSB PGT Mathematics Mock Test - 1 - Question 6

Consider the following statements about Abrasion.

1. Abrasion is most effective at or near the top of rocks, where the amount of material the wind can carry is greatest

2. The sandblasting of rock surfaces by winds when they hurl sand particles against them is called abrasion

Which of these statements is/are correct?

Detailed Solution for DSSSB PGT Mathematics Mock Test - 1 - Question 6
  • The sandblasting of rock surfaces by winds when they hurl sand particles against them is called abrasion.

  • The impact of such blasting results in rock surfaces being scratched, polished and worn away. Abrasion is most effective at or near the base of rocks, where the amount of material the wind can carry is greatest.

  • This explains why a covering of metal protects telegraph poles in the deserts for a foot or two above the ground. A great variety of desert features are produced by abrasion.

DSSSB PGT Mathematics Mock Test - 1 - Question 7

Direction: Read the following passages carefully and answer the question that follows.
The ancient Harappan Civilization emerged, flourished and collapsed under a steadily weakening monsoon, according to new research findings, that scientists say, provide the strongest evidence yet to link its risk and fall to changing climate. A team of scientists has combined multiple sets of date to show that weakening monsoon and reduced river water initially stimulated intensive agriculture and urbanisation, but later precipitated the decline and collapse of the subcontinent's earliest cities. The scientist said their research also suggests that a larger river, summed to be the mythical Saraswati, which once watered the Harappan Civilization's heartland between the suggests it was a glacier fed river with origins in the Himalyas. The findings appear today in the US Journal Proceedings of the National Academy of Science

Q. What was the controversy in the passage?

Detailed Solution for DSSSB PGT Mathematics Mock Test - 1 - Question 7

The controversy is about the monsoon fed river and the glacier fed river.

DSSSB PGT Mathematics Mock Test - 1 - Question 8

Direction: In many of the process control applications, the purpose of control system is to keep the output (controlled variable) almost constant in spite of changes in load. Mostly in continuous processes the set point remains constant for longer time. Such an operation is called 'Regulator Operation'. The set point generated, and the actual values from sensors are given to a controller. The controller compares both the signals, generates error signal which is utilized to generate a final signal as controller output. The controller output is finally utilized to physically change the values of manipulated variable to achieve stability. The above action is achieved with the help of final control elements. They are operatable either with electrical, pneumatic or with hydraulic signals. The system that serves good for servo operation will generally not be the best for regulator operation. Large capacity or inertia helps to minimize error here, whereas it makes the system sluggish in case of servo operation.

Q. What is the purpose of the control system?

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

it is stated clearly in the first line of the passage that the purpose of control system is to keep the out constant inspite of changes in load.

DSSSB PGT Mathematics Mock Test - 1 - Question 9

‘हवाई किले बनाना’ मुहावरे का सही अर्थ कौन सा है?

Detailed Solution for DSSSB PGT Mathematics Mock Test - 1 - Question 9

‘हवाई किले बनाना’ मुहावरे का सही अर्थ है- कोरी कल्पना करना, झूठी कल्पनाएँ करना।
वाक्य: आज अध्यापक ने कक्षा में मोहन को बहुत अच्छी बात सिखाई कि मेहनत करने से जीवन में लक्ष्य प्राप्त होते है, हवाई किले बनाने से नहीं।

DSSSB PGT Mathematics Mock Test - 1 - Question 10

The remainder obtained when 7100 is divided by 13 is:

Detailed Solution for DSSSB PGT Mathematics Mock Test - 1 - Question 10

Given:

DSSSB PGT Mathematics Mock Test - 1 - Question 11

If 2x + 5 > 2 + 3x and 2x - 3 ≤ 4x - 5, then x can take which of the following values?

Detailed Solution for DSSSB PGT Mathematics Mock Test - 1 - Question 11

Given,

2x + 5 > 2 + 3x

5 – 2 > 3x – 2x

3 > x          .......(1)

2x - 3 ≤ 4x - 5

5 – 3 ≤ 4x – 2x

1 ≤ x          .......(2)

From (1) and (2)

x = 1 or 2

DSSSB PGT Mathematics Mock Test - 1 - Question 12

What is the modulus of the complex number , where n ∈ N and i = √-1 ?

Detailed Solution for DSSSB PGT Mathematics Mock Test - 1 - Question 12

Given:

As we know,

Z = a + ib

From the concept used we know that 2n - 1 is odd

Therefore, the modulus of the complex number is 1.

DSSSB PGT Mathematics Mock Test - 1 - Question 13

Given function is:

Detailed Solution for DSSSB PGT Mathematics Mock Test - 1 - Question 13


f(x) is an odd function.
Again

f(x) is an increasing function.

DSSSB PGT Mathematics Mock Test - 1 - Question 14

The two Eigen values of the matrix have a ratio of for . What is another value of for which the Eigen values have the same ratio of ?

Detailed Solution for DSSSB PGT Mathematics Mock Test - 1 - Question 14

Given:

By putting values of p from options

By putting option (D) in above equations gives value

Hence ratio of two eigen values

DSSSB PGT Mathematics Mock Test - 1 - Question 15

The expected value of the number of heads obtained when three fair coins are tossed simultaneously is:

Detailed Solution for DSSSB PGT Mathematics Mock Test - 1 - Question 15

If three fair coins are tossed then the different values of the number of heads we can get are 0,1,2 or 3 heads and the total number of different outcomes possible is





DSSSB PGT Mathematics Mock Test - 1 - Question 16

If  Find the angle between the vectors and .

Detailed Solution for DSSSB PGT Mathematics Mock Test - 1 - Question 16

Given: 

As we know that, the scalar product between any two vectors and is given by:

DSSSB PGT Mathematics Mock Test - 1 - Question 17

If the fifth term of a GP is 2, then what will be the product of its first 9 terms?

Detailed Solution for DSSSB PGT Mathematics Mock Test - 1 - Question 17

Given:

Let 'a' be the first term and 'r' the common ratio.

We know that,


Now, the product of 9 terms


DSSSB PGT Mathematics Mock Test - 1 - Question 18

What is the square root of

Detailed Solution for DSSSB PGT Mathematics Mock Test - 1 - Question 18

As we know,

Given,

DSSSB PGT Mathematics Mock Test - 1 - Question 19

If and are any positive integers and then:

Detailed Solution for DSSSB PGT Mathematics Mock Test - 1 - Question 19

Let and

Now,

Next,

Now,

Now,

DSSSB PGT Mathematics Mock Test - 1 - Question 20

Find the unit vector in the direction of vector .

Detailed Solution for DSSSB PGT Mathematics Mock Test - 1 - Question 20

Given,

As we know,

Unit vector in the direction of vector is given by,

DSSSB PGT Mathematics Mock Test - 1 - Question 21

The domain of the function is:

Detailed Solution for DSSSB PGT Mathematics Mock Test - 1 - Question 21

Given,

Here,

when,

when,

thus, domain of

DSSSB PGT Mathematics Mock Test - 1 - Question 22

If where , then the value of is equal to:

Detailed Solution for DSSSB PGT Mathematics Mock Test - 1 - Question 22

Given:

DSSSB PGT Mathematics Mock Test - 1 - Question 23

If  then value of Δ is:

Detailed Solution for DSSSB PGT Mathematics Mock Test - 1 - Question 23

By operating we get,

DSSSB PGT Mathematics Mock Test - 1 - Question 24
The domain of the derivative of the function
Detailed Solution for DSSSB PGT Mathematics Mock Test - 1 - Question 24
Given:
We have to find the domain of the function
Using the definition of modulus function , we have
(i)
It is clear from equation (i) that is discontinuous at and .
is not differentiable at
Not continuous not differentiable]
is differentiable at all except and
Therefore, domain of .
DSSSB PGT Mathematics Mock Test - 1 - Question 25

A line is such that its segment between the lines 5x – y + 4 = 0 and 3x + 4y – 4 = 0 is bisected at the point (1, 5). Obtain its equation.

Detailed Solution for DSSSB PGT Mathematics Mock Test - 1 - Question 25

Given lines are:

......(1)

......(2)

Let the required line intersects the lines (1) and (2) at the points, and respectively. 

and

or and

We are given that the mid point of the segment of the required line between and is (1, 5).

and ,

or and

or and .....(3)

Solving equations in (3) for and we get

and and thus,

Equation of the required line passing through (1,5) and is,

 

or

or

DSSSB PGT Mathematics Mock Test - 1 - Question 26

Find the integer value of for which the equation has equal roots.

Detailed Solution for DSSSB PGT Mathematics Mock Test - 1 - Question 26

As given,

has equal roots.

DSSSB PGT Mathematics Mock Test - 1 - Question 27

Two events and are independent events. If , then find P(B).

Detailed Solution for DSSSB PGT Mathematics Mock Test - 1 - Question 27

It is given that,

 and 







DSSSB PGT Mathematics Mock Test - 1 - Question 28

What is the conjugate of

Detailed Solution for DSSSB PGT Mathematics Mock Test - 1 - Question 28

Let,

To find the conjugate of , first write the complex number in form.

Consider,

Eliminate from denominator by multiplying and dividing complex conjugate of denominator.

So Z becomes, 

The conjugate of is

DSSSB PGT Mathematics Mock Test - 1 - Question 29

The equation of directrix of the parabola  is-

Detailed Solution for DSSSB PGT Mathematics Mock Test - 1 - Question 29

The equation of parabola,





On comparing with the equation of parabola 


The equation of directrix of parabola 





DSSSB PGT Mathematics Mock Test - 1 - Question 30

is:

Detailed Solution for DSSSB PGT Mathematics Mock Test - 1 - Question 30

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