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DSSSB TGT Mathematics Mock Test - 7 - DSSSB TGT/PGT/PRT MCQ


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30 Questions MCQ Test DSSSB TGT Mock Test Series 2025 - DSSSB TGT Mathematics Mock Test - 7

DSSSB TGT Mathematics Mock Test - 7 for DSSSB TGT/PGT/PRT 2025 is part of DSSSB TGT Mock Test Series 2025 preparation. The DSSSB TGT Mathematics Mock Test - 7 questions and answers have been prepared according to the DSSSB TGT/PGT/PRT exam syllabus.The DSSSB TGT Mathematics Mock Test - 7 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 - 7 below.
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DSSSB TGT Mathematics Mock Test - 7 - Question 1

In each of the following question, various terms of an alphabet series are given with one or more terms missing as shown by (?). Choose the missing terms out of the given alternatives.

PMT, OOS, NQR, MSQ, ?

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

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DSSSB TGT Mathematics Mock Test - 7 - Question 2

Directions: Read the following information carefully and answer the questions given beside.
 
8 persons from A to H sit around a square table such that 2 persons sit in the middle of each of the sides. The persons sitting on one side of the table face the persons sitting exactly opposite to them on the opposite side of table.
 
A sits on the immediate right of E. G faces the one who is second to the left of B. 3 persons sit between A and G. Two persons sit between F and D (when counted from one side only), who is adjacent to E. Only one person sits between G and C (when counted from one side only). A is not adjacent to F.

Q. Who faces D?

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

B faces D.
 
Hence option B is correct.

Final Arrangement:

Common Explanation:

Reference:

A sits on the immediate right of E.
G faces the one who is second to the left of B.
3 persons sit between A and G.

Inference:

Following arrangement can be prepared with the given hints.

 

Reference:
Two persons sit between F and D (when counted from one side only), who is adjacent to E.
Only one person sits between G and C(when counted from one side only).

Inference:
The above hints can be used in the following manner.

​​​​​

DSSSB TGT Mathematics Mock Test - 7 - Question 3

Directions to Solve

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

Question -

Cloth : Mill :: Newspaper : ?

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

As Cloth is made in a Mill, similarly Newspaper is printed in press.

DSSSB TGT Mathematics Mock Test - 7 - Question 4

Statements:
All the actors are girls.
All the girls are beautiful.

Conclusions:
1. All the actors are beautiful.
2. Some girls are actors.

Detailed Solution for DSSSB TGT Mathematics Mock Test - 7 - Question 4

DSSSB TGT Mathematics Mock Test - 7 - Question 5

Introducing a man, a woman said, 'He is the only son of my mother's mother." How is the woman related to the man ?

Detailed Solution for DSSSB TGT Mathematics Mock Test - 7 - Question 5

My mother's mother — My grandmother: My grandmother's only son — My maternal uncle. So, the woman is man's niece. 

DSSSB TGT Mathematics Mock Test - 7 - Question 6

Directions: 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 the odd one out. 

Detailed Solution for DSSSB TGT Mathematics Mock Test - 7 - Question 6

B is the correct option.bajra, wheat, rice are the main cereal whereas mustard is used as a spice. Hence, Mustard is the odd one out.

DSSSB TGT Mathematics Mock Test - 7 - Question 7

(Q.no: 11-15). Refer to the following Line Graph and answer the given questions.

 

What is the average number of students who passed for the exam in all the years together?

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

Average number of students who passed in all the years together =[180 + 140 + 210 + 260 +240]/5 = 206

DSSSB TGT Mathematics Mock Test - 7 - Question 8

A man performs 2/15 of the total journey by rail, 9/20 by tonga and the remaining 10 km on foot. His total journey is

Detailed Solution for DSSSB TGT Mathematics Mock Test - 7 - Question 8

DSSSB TGT Mathematics Mock Test - 7 - Question 9

 Study the following graph carefully to answer the given questions

Time taken by the pipes to fill a tank/cistern (hours/minutes)

A waste pipe, W can carry off 12 litre of water per minute. If all the pipes I, J and W are opened when the tank is full and it takes one hour to empty the tank. Find the capacity of the tank.

Detailed Solution for DSSSB TGT Mathematics Mock Test - 7 - Question 9

Let the waste pipe take ‘T’ time to empty the tank.
(1/10 + 1/12 – 1/T)*60 = -1
We will get T = 5 min
So capacity = 5*12 = 60ltr

DSSSB TGT Mathematics Mock Test - 7 - Question 10

A travel bus normally reaches its destination at 60 kmph in 20 hours. Find the speed of that travel bus at which it travels to reduce the time by 5 hours?

Detailed Solution for DSSSB TGT Mathematics Mock Test - 7 - Question 10

60 * 20 = x *15
x = 80 kmph

DSSSB TGT Mathematics Mock Test - 7 - Question 11

Direction: Choose the appropriate prepositions for the given sentence.

Q. The instructions were ______ French. I translated them ______ English.

Detailed Solution for DSSSB TGT Mathematics Mock Test - 7 - Question 11
  • The preposition 'in' is used for indicating the language or medium used. The preposition 'into' is used for expressing the result of an action.
  • The preposition 'into' is used for expressing a change of state. The preposition 'in' is used for indicating the language or medium used.
  • The preposition 'through' means by means of (a process or intermediate stage). The preposition 'to' is used for approaching or reaching (a particular condition).
  • The preposition 'for' is used to indicate the use of something.
DSSSB TGT Mathematics Mock Test - 7 - Question 12

Direction: Read the passage below and choose the best answer for the questions out of the four alternatives.
Once upon a time there was a kingdom. The king there only had one leg and one eye, but he was very intelligent and kind. One day the king was walking through the palace hallway and saw the portraits of his ancestors. He thought that one day his children will walk in the same hallway and remember all the ancestors through these portraits. But, the king did not have his portrait painted. Due to his physical disabilities, he wasn't sure how his painting would turn out. So he invited many famous painters from his and other kingdoms to the court. The king then announced that he wants a beautiful portrait made of himself to be placed in the palace. Any painter who can carry out this will be rewarded based on how the painting turns up. All of the painters began to think as the king is handicapped it is not possible to make a beautiful portrait so one by one, all started to make excuses and politely declined to make a painting of the king but suddenly one painter raised his hand and said that he will make a very beautiful portrait and the king will surely like it. After taking a long time, the painter said that the portrait was ready.
When the painter presented the portrait, everyone in the court, including the king, left stunned. The painter made a portrait in which the king was sitting on the horse, on the one-leg side, holding his bow and aiming the arrow with his one eye closed. The king was very pleased to see that portrait was made by cleverly hiding the king's disabilities. The king gave him a reward. We should always focus on what we have in place of crying over what we don't have. If we think and approach positively even in a negative situation, then we will be able to solve our problems more efficiently.

Q. How did the painter hide the disabilities of the king in the portrait?

Detailed Solution for DSSSB TGT Mathematics Mock Test - 7 - Question 12

According to the passage, 'The painter made a portrait in which the king was sitting on the horse, on the one-leg side, holding his bow and aiming the arrow with his one eye closed' clearly states that the painter hides the disabilities of the king by making him sit on the horse, aiming the arrow. So, only his one leg and one eye are visible in the portrait. Therefore, all other options are incorrect.

DSSSB TGT Mathematics Mock Test - 7 - Question 13

Directions- In the following sentence, four words or phrases have been underlined. One of them is incorrect. Choose the INCORRECT word or phrase from the given options.

Q. Those differences could reflect the rise of different mutant strains of SARS-CoV-2 around an world

Detailed Solution for DSSSB TGT Mathematics Mock Test - 7 - Question 13
  • In the given sentence, the error in the part is the inappropriate use of the article.
  • The articles are the words "a," "an," and "the."
  • They define whether something is specific or unspecific. 
  • The definite article 'the' is used before a noun to define it as something specific.
  • Therefore, we will replace 'an' with 'the' to make the sentence grammatically correct.
  • Hence, option 4 is the most appropriate choice​

The correct sentence will be: 'Those differences could reflect the rise of different mutant strains of SARS-CoV-2 around the world. '

DSSSB TGT Mathematics Mock Test - 7 - Question 14

Direction: Fill in the blank with the correct form of the tense.

Q. I _________used your room when you went for a business trip.

Detailed Solution for DSSSB TGT Mathematics Mock Test - 7 - Question 14

Had is used in the past perfect tense, to indicate an action has completed before a certain point of time in the past.
Example: I had gone to Pune.
The general structure of the past perfect tense is- had+ V3.
The complete sentence is ' I had used your room when you went for a business trip.'

DSSSB TGT Mathematics Mock Test - 7 - Question 15

दिए गए विकल्पों में से शुद्ध वर्तनी वाला शब्द कौन-सा है?

Detailed Solution for DSSSB TGT Mathematics Mock Test - 7 - Question 15

शुद्ध वर्तनी वाला शब्द ‘पुनीत’ है। 

अत: विकल्प (D) सही है I

DSSSB TGT Mathematics Mock Test - 7 - Question 16

‘तुम काम कर रहे हो कि समय बर्बाद कर रहे हो।’ इस वाक्य में रेखांकित वाक्यांश के लिए उचित मुहावरा क्या है।

Detailed Solution for DSSSB TGT Mathematics Mock Test - 7 - Question 16

'समय बर्बाद करना' के लिए सही मुहावरा है 'भाड़ झोंकना'। इस प्रकार उपर्युक्त वाक्य में इस मुहावरे का प्रयोग उचित है। अन्य मुहावरों के अर्थ भिन्न हैं।
अत: विकल्प (C) सही है I

DSSSB TGT Mathematics Mock Test - 7 - Question 17

दिए गए विकल्पों में से ‘मानव’ शब्द से _______विशेषण बनेगा।

Detailed Solution for DSSSB TGT Mathematics Mock Test - 7 - Question 17

विशेषण: जो शब्द संज्ञा या सर्वनाम की विशेषता बताते हैं, विशेषण कहलाते हैं। जैसे- मानव संज्ञा है लेकिन मानवीयता विशेषण शब्द है क्योंकि यह व्यक्ति का एक गुण है।
अत: विकल्प (D) सही है I

DSSSB TGT Mathematics Mock Test - 7 - Question 18

Find two positive numbers x and y such that x + y = 60 and xy3 is maximum ?

Detailed Solution for DSSSB TGT Mathematics Mock Test - 7 - Question 18

Given: There are two positive numbers x and y such that x + y = 60

Here we have to determine the numbers x and y such that x + y = 60  and xy3 is maximum.

Now by substituting x = 60 - y in the expression xy3 we get

Let

Now let's find

Now let's find the roots of the equation

or 45

By neglecting y = 0

So, y = 45

Now let's find out f'' i.e

Now evaluate the value of at y = 45

As we know that according to second derivative test if then x = c is a point of maxima

So, y = 45 is a point of maxima for

So, when y = 45 then x = 60 - y = 15

Therefore, the required numbers are 15 and 45

DSSSB TGT Mathematics Mock Test - 7 - Question 19

Consider three points and , where . Then:

Detailed Solution for DSSSB TGT Mathematics Mock Test - 7 - Question 19

We see that and P, Q, T are collinear.

∴ P, Q, R are non-collinear.

DSSSB TGT Mathematics Mock Test - 7 - Question 20

The locus of the point satisfying is:

Detailed Solution for DSSSB TGT Mathematics Mock Test - 7 - Question 20

Given:

Locus of the point z = x + iy

Concept:

Modulus of complex number z = x + iy


Where x is the real part and y is the imaginary part

Calculations:

Given that


⇒ |z − 2i| = |z + 2i|

Let z = x + iy

⇒ |x + iy - 2i| = |x + iy + 2i|

⇒ |x + i(y - 2)| = |x + i(y + 2)|


Squaring both sides, we get

⇒ x2 + (y − 2)2 = x2 + (y + 2)2

⇒ y - 2 = ±(y + 2)

Consider negative sign,

⇒ (y - 2) = -(y + 2)

⇒ 2y = 0

⇒ y = 0 which represents the x-axis.

∴ z lies on the x-axis.

DSSSB TGT Mathematics Mock Test - 7 - Question 21
If is the universal set and then the set is same as the set
Detailed Solution for DSSSB TGT Mathematics Mock Test - 7 - Question 21

Since is a universal set








DSSSB TGT Mathematics Mock Test - 7 - Question 22

The angle between the planes and is:

Detailed Solution for DSSSB TGT Mathematics Mock Test - 7 - Question 22

The acute angle θ between two planes and is given by the formula,

Given,
and
That means,
and
Using the above formula for angle θ,

θ = 60o

DSSSB TGT Mathematics Mock Test - 7 - Question 23

Let A (1,1,1) , B (2, 3, 5) and C (-1, 0, 2) be three points, then equation of a plane parallel to the plane ABC which is at a distance 2 from origin is 

Detailed Solution for DSSSB TGT Mathematics Mock Test - 7 - Question 23


A (1,1,1), B (2,3,5), C(-1,0,2) direction ratios of AB are < 1,2,4 >
Therefore, direction ratios of normal to plane ABC are < 2, -3,1 >
As a result, equation of the required plane is 2x – 3y +z = k then 

Hence, equation of the required plane is 

DSSSB TGT Mathematics Mock Test - 7 - Question 24

Find the angle between the planes and .

Detailed Solution for DSSSB TGT Mathematics Mock Test - 7 - Question 24

As we know,

Let and are the equations of two planes aligned at an angle where and are the direction ratios of the normal to the planes, then the cosine of the angle between the two planes is given by:

Given planes are and

DSSSB TGT Mathematics Mock Test - 7 - Question 25

In and are the middle points of the sides and , respectively, is a point on the segment , such that , If cm, then is equal to:

Detailed Solution for DSSSB TGT Mathematics Mock Test - 7 - Question 25

Given:

In and are the middle points of the sides and , respectively.

cm

As we know,

If , then

cm, then

cm

So,

cm

In and in

[common]

Now,

is mid point of

cm

DSSSB TGT Mathematics Mock Test - 7 - Question 26

Direction: Consider the following data for the next three (03) items that follow :

The incidence of suffering from a disease among workers in an industry has a chance of

What is the probability that exactly 3 out of 6 workers suffer from a disease?

Detailed Solution for DSSSB TGT Mathematics Mock Test - 7 - Question 26

Explanation:

Given :

of the workers have a chance of suffering from the disease

The formula for binomial distribution:

where,

probability of success of a trial

probability of failure of a trail

total no of trial

no of a successful trial for the given condition.

number of combinations of taken at a time

probability of success of trial.

Probability, where out of 6 , exactly 3 suffer from the disease is

The probability that exactly 3 out of 6 workers suffer from a disease is .

DSSSB TGT Mathematics Mock Test - 7 - Question 27

Let be a relation defined as if and only if , where  How many elements of the form are there in ?

Detailed Solution for DSSSB TGT Mathematics Mock Test - 7 - Question 27

Given:

Let the value of x be 1.

Let the value of x be 2.

Let the value of x be 3.

Let the value of x be 4.

Let the value of x be 5.

Let the value of x be 6.

Let the value of x be 7.

  

There are 3 elements in the form (x, y) are there in R.

DSSSB TGT Mathematics Mock Test - 7 - Question 28

If and are two mappings defined as and , then the value of is:

Detailed Solution for DSSSB TGT Mathematics Mock Test - 7 - Question 28

Given,

then,

DSSSB TGT Mathematics Mock Test - 7 - Question 29

If , then its value equal to:

Detailed Solution for DSSSB TGT Mathematics Mock Test - 7 - Question 29

Given,

 

DSSSB TGT Mathematics Mock Test - 7 - Question 30
The number of arrangements of the letters of the word 'BANANA' in which the two do not appear adjacently is:
Detailed Solution for DSSSB TGT Mathematics Mock Test - 7 - Question 30
Total number of permutations will be due to repetitions of and .
Now taking two of the N together,
NNBAAA by taking NN as one block
We get due to repetitions of
So, the required permutation will be-



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