DSSSB TGT Mathematics Mock Test - 4 - DSSSB TGT/PGT/PRT MCQ

 Arrival of the British and the establishment of British East India Company was the outcome of the Portuguese traders who earn enormous profit by selling their merchandise in India. Hence, the correct option is 'A'.

ICICI Lombard introduced the country's first "anywhere cashless" facility.

In order to get the working of heater properly, fused wire of higher rating must be used.

As, (4)² + 3 = 19

Similarly, (7)² + 3 = 52

Check the highlighted parts in given figure.

Girls's father's only son— Girl's brother. Daughter in law of girl’s grandmother can be their mother, or maternal uncle’s wife, i.e. aunt. So relation cannot be determined.

figure inside the box moves 90 degree in clockwise direction each time. So if you move the 3rd box figure in clockwise direction with 90 degree, we will get the option (a) is right figure to complete.

The letter is the first half and the letter half of the word are separately reversed to obtain the code.

some tables are benches, and some benches or all benches can be black.

Average annual exports of Company Z during the given period
= 1/7 x (60 + 90 + 120 + 90 + 60 + 80 + 100)
= Rs. ( 600 /7)crores
= Rs. 85.71 crores.
From the analysis of graph the exports of Company Z are more than the average annual exports of Company Z (i.e., Rs. 85.71 crores) during the years 1994, 1995, 1996 and 1999, i.e., during 4 of the given years.

S.I. for 1 year = Rs. (854 - 815) = Rs. 39.

S.I. for 3 years = Rs.(39 * 3) = Rs. 117.

 Principal = Rs. (815 - 117) = Rs. 698.

The phrasal verb 'compete for' means 'strive to gain or win something'. This phrasal verb is only suitable as per the context of the sentence which is that divergent groups have competed for food and territory among themselves, which means there was a competition among themselves to gain food and territory.

• All the statements except for the one given in option 2 are true as per the context of the passage. ✔️
  According to the passage, some writers (Not all) imagined the moon’s surface to be barren and uninhabited whereas others have written about it being populated with lunar beings. So this is the only option that is correct as it is not true according to the passage.
• Options 1,  'Man’s walk on the moon inspired scientists to plan more expeditions.' this is true because from 1969 to 1972 there were a series of moon missions. ❌
• Option 3, is stated in the passage 'lunar destination seemed a touch closer within the reach of the common man.'❌
• Option 4, This has also been mentioned in the passage, there are at least seven fictional tales as stated in the passage. ❌  

• Here, in the given fill-in-the-blank the most appropriate preposition to fill is 'Among'.
• We use among to talk about things that are not clearly separated because they are part of a group or crowd or mass of objects.
  • Example: The ancient fountain was hidden among the trees. (surrounded by trees)
• In the given sentence 'all' is referring to the whole class. 
• And we know that 'among' is used in these cases.
• Therefore, as per the points mentioned above, we find that the correct answer is Option 1.

​Among all the children in the class, I find Sushma to be the most attentive.

• The passage should begin with a sentence that introduces the subject under consideration.
  • This is done by sentence C, which introduces us to a person who buys a teapot. So, sentence C becomes the first sentence.
• From the remaining sentences it is clear that the person's interactions with the teapot are listed.  
  • So, sentence D, which talks about how he cleaned the teapot should become the second sentence. 
• Sentence A that talks about how he kept it down to dry becomes the third sentence. This sentence also talks about how he went away after that to count his money.
• His view about the teapot after he came back as told in sentence A, becomes the fourth sentence. 

गंगा का पर्यायवाची
'गंगा' का पर्यायवाची 'भैरवी' होता है। गंगा एक महत्वपूर्ण नदी है जो भारत और बांग्लादेश में बहती है, जो हिन्दू धर्म में पवित्र मानी जाती है। गंगा का अनेकों नामों में से एक 'भैरवी' भी है। यह नाम भैरव, जो शिव के एक रूप हैं, का फेमिनिन रूप होता है।

• भैरवी: गंगा नदी को 'भैरवी' भी कहा जाता है। यह नाम गंगा को उसकी पवित्रता और उसके महत्व को मान्यता देता है।
• सुरसरि: गंगा को 'सुरसरि' नहीं कहा जाता है। यह शब्द सामान्यतया किसी भी नदी के लिए उपयोग किया जा सकता है, लेकिन इसका विशेष उल्लेख गंगा के संदर्भ में नहीं किया जाता है।
• अम्बिका: गंगा को 'अम्बिका' नहीं कहा जाता है। यह नाम सामान्यतया देवी दुर्गा का एक रूप होता है, जो हिन्दू धर्म में मातृत्व और शक्ति का प्रतीक

दिए गए विकल्पों में से विकल्प 1 ​भाववाचक संज्ञा सही उत्तर है । अन्य विकल्प असंगत है। रमेश और सुरेश की आपस में दोस्ती है।, में ​भाववाचक संज्ञा होगी।

• जिस वाक्य में किसी धातु, द्रव या पदार्थ को छू नहीं सकते हैं; केवल अनुभव कर सकते हैं। वे वाक्य भाववाचक संज्ञा के अंतर्गत आते हैं।
• दोस्ती शब्द से दोस्त होने के भाव का बोध हो रहा है। अतः दोस्ती एक भाववाचक संज्ञा है।

भाववाचक संज्ञा
जो शब्द किसी चीज़ या पदार्थ की अवस्था, दशा या भाव का बोध कराते हैं, उन शब्दों को भाववाचक संज्ञा कहते हैं। जैसे- बचपन, बुढ़ापा, मोटापा, मिठास आदि।

Equation of normal to plane and passing through (1, -2, 3)

Let,

∴ (x - 1) = 2r ⇒ x = 2r +1

And, y + 2 = 3r ⇒ y =3r - 2

Also, z - 3 = -r ⇒ z = -r + 3

i.e., (2r +1, 3r - 2, -r + 3)

Consider Q be the the image of given point

∴ Q = (2r +1, 3r - 2, -r + 3)

Let, R be the midpoint 

∴ R =

⇒ R = (r + 1, - 2, + 3)

Since R lies on plane 2x + 3y – z = 7

2 (r + 1) + 3 ( - 2) - ( + 3) = 7

⇒ 2r + 2 + -6 + - 3 = 7

⇒ 4r + 4 + 9r -12 +r - 6 = 14

⇒ 14r - 14 = 14

⇒ r = 2

So, image Q = (2(2) + 1, 3(2) - 2, -2+3)

⇒ (5, 4, 1)

The difference between the two Sets:

Let A and B be two sets. The difference between A and B is denoted as (A - B)

It is the set of all those elements of A which are not present in B i.e {x: x ∈ A and x ∉ B}

The Venn diagram representation of the difference between two sets is shown below

A - B =  It is the set having all the elements of set A except the elements present in set B.

B - A =  It is the set having all the elements of set B except the elements present in set A.

is a null set .

Given:

Position vectors

Let,

Now, slope of Slope of Slope of   .....(∵ points are collinear)

As we know,

If be any complex number, then its modulus is given by,

Let,

Multiplying by in numerator and denominator, we get

Comparing equation (1) and (2), we get

and

So, the modulus of is 1 .

As we know, in a leap year in the february months there will be 4 weeks and 1 day. 

These 1 days can be:

{Sun}, {Mon}, {Tue}, {Wed}, {Thu}, {Fri}, {Sat} 

Total outcomes = 7

Favourable outcomes = {Sun} =
So, the probability that a leap year selected at random will contain five Sundays = 1/7

CONCEPT:

If and then the distance between the points A and B is given by:

CALCULATION:

Given: A and B are two points in a 3D space.

Here, we have to find the distance between the the given points.

As we know that, if and then the distance between the points A and B is given by:

Given:

and

Given:

m₁= 9 and m₂ = 13 which are relatively co-prime.

Also, a₁ = 3 and a₂ = 7, which are integer.

Hence the condition of the Chinese  Remainder Theorem satisfied.
So, according to the theorem, there will be the unique solution of x for modulo

M = 9 x 13 = 117

Now, using the relation,

We will get

M₁ = 13 and M₂ = 9

To calculate X₁ and X₂ we can use the relation,

Multiplying both sides with 7, we will get

Again, using the above relation

Thus the unique solution of x will be: