DSSSB TGT Natural Science Mock Test - 9 - DSSSB TGT/PGT/PRT MCQ

The correct option is Option B.
A Member of the Legislative Assembly (MLA) is a representative elected by the voters of an electoral district (constituency) to the legislature of the State government in the Indian system of government. From each constituency, the people elect one representative who then becomes a member of the Legislative Assembly (MLA).
 

With total population of 19,98,12,341, Uttar Pradesh is the most heavily populated state of India as per the 2011 Census. It constitutes 16.51% of India's population. Maharashtra and Bihar come next with respective contributions of 9.28% and 8.60% to the national population.

In 1905, R. Ramashashtry discovered and published the Arthashastra, an ancient Indian treatise on state craft. He transcribed, edited and published the Sanskrit edition in 1909. He proceeded to translate it into English, publishing it in 1915.

• National Industrial Corridor Development Programme is India's most ambitious infrastructure programme aiming to develop new industrial cities as "Smart Cities" and converging next generation technologies across infrastructure sectors.
• Delhi Mumbai Industrial Corridor Development Corporation (DMICDC) Limited, a special purpose company, was incorporated to establish, promote and facilitate development of Delhi Mumbai Industrial Corridor Project.
• Further, after announcement of other Industrial Corridor Projects, the mandate of DMICDC Ltd. has been expanded to develop and implement all Industrial Corridor Projects in the country and accordingly, the name has been changed to National Industrial Corridor Development Corporation (NICDC) Limited. Hence statement 1 and statement 3 are correct.
• NICDC is mandated to undertake project development activities for Investment Regions/Industrial Areas/ Economic Regions / Industrial Nodes and Township etc.
• The shareholding of NICDC is as follows:
  1. Govt of India – 49% o Japan Bank for International Cooperation – 26%
  2. Housing and Urban Development Corporation Ltd – 19.9%
  3. India Infrastructure Finance Company Ltd – 4.1%
  4. LIC – 1%

Hence statement 2 is correct.

• Fixed-term employment is a contract in which a company or an enterprise hires an employee for a specific period of time. In most cases, it is for a year but can be renewed after the term expires depending on the requirement. In fixed-term employment, the employee is not on the payroll of the company. Hence statement 2 is correct.
• Under the fixed-term employment contract, the payout or the payment is fixed in advance and is not altered till the term expires. Hence statement 1 is not correct.

The 284th birth anniversary of Sant Sevalal Maharaj has been celebrated recently.

Explanation:
Let's analyze Manisha's movements step by step:
1. Manisha goes 10 km towards the west from her office.
2. She turns left and goes 8 km. Since she was going west, a left turn will lead her to the south direction.
3. She turns left again and goes 4 km. Since she was going south, a left turn will lead her to the east direction.
Now, let's find out how far she is from her office:
- In the east-west direction: Manisha initially went 10 km towards west and then 4 km towards east. So, her net displacement in the east-west direction is (10 - 4) = 6 km towards west.
- In the north-south direction: Manisha went 8 km towards the south.
To find the shortest distance between Manisha and her office, we can use the Pythagorean theorem:
Distance = √[(east-west displacement)² + (north-south displacement)²]
Distance = √[(6 km)² + (8 km)²]
Distance = √(36 + 64)
Distance = √100
Distance = 10 km
So, the correct answer is:
None of these (10 km)

Let's analyze Manju's movements step by step:
Initial position:
- Manju is at a fixed point (let's call this point A).
First Movement:
- She goes 20 meters towards West.
- Let's call this point B.
Second Movement:
- From point B, she goes 10 meters towards North.
- Let's call this point C.
Third Movement:
- From point C, she goes 35 meters towards East.
- Let's call this point D.
Fourth Movement:
- From point D, she goes 5 meters towards South.
- Let's call this point E.
Fifth Movement:
- From point E, she goes 15 meters towards West.
- Let's call this point F.
Now, we need to find the distance between point A and point F.
- Since Manju initially moved 20 meters West and then moved an additional 15 meters West in her last movement, she is a total of 35 meters West from her starting point A.
- However, she also moved 35 meters East from point C to point D, which brings her back to the same vertical line as her starting point A.
- Considering her North and South movements, she moved a total of 10 meters North and 5 meters South, resulting in a net movement of 5 meters North from point A.
Now, we can use the Pythagorean theorem to find the distance between points A and F:
AF = √((Horizontal Distance)² + (Vertical Distance)²)
AF = √((0 meters)² + (5 meters)²)
AF = √(25)
AF = 5 meters
So, Manju is 5 meters away from her initial fixed point.
Answer: **A: 5 km** (Note: It should be "5 meters" instead of "5 km" in the options)

1 * 4 – 1 = 3
3 * 4 + 3 = 15
15 * 4 – 5 = 55
55 * 4 + 7 = 227
227 * 4 – 9 = 899

All except Gandhi are founders of religions.

Clearly, each letter is assigned a numerical value which is twice the numeral denoting its position in the English alphabet.
B, E and T are 2^nd, 5^th and 20^th letters respectively.
So, BET = B + E + T = (2 × 2) + (5 × 2) + (20 × 2) = 54.

Clearly, each letter is coded by the numeral denoting its position in the English alphabet,
Thus, A is coded as 1, B as 2, C as 3, D as 4,…………, I, as 12, M as 13……., Y as 25, Z as 26. So, the code for LADY is 12 – 1 – 4 – 25.

Following the final seating arrangement, we can say position of none of the members remains the same if we arrange all alphabetically as given in the question. 
Hence, the correct answer is option A.

Common Explanation:
Reference:
O is sitting second to the left of U and third to right of H.

Inference:
 
Reference:
D and I are immediate neighbors of  each other but one of them is an immediate neighbor of O. 
V is sitting second to the right of B.

Inference:
Here, we can place D and I as follows:

Reference:
G is sitting second to the left of D.
 
Inference:
To fix these two positions, we will have to place D to the immediate right of H. Thus, we get the final arrangement as:

The correct anwer is B as profit percent of Company Y in 1997 = 35.
Let the income of Company Y in 1997 be Rs. x crores.
Then, 35 =
x - 220
x 100         x = 297.
220
Income of Company Y in 1997
= Rs. 297 crores.

The correct answer is D as ,
Total Income = 342 cr
Income in percentage = 140+145=285%
Expenditure per year= 200×342/285 = 240 cr
So total profit in 1996 = 342 - 240 = 102 cr.

√((444)÷37 + 15 + 11 * (?)) = 7
12 + 15 + 11x = 49
11x + 27 = 49
x = 2

So Option C is correct

LCM (12, 8, 22, 30) = 3960

(30/100)*T = P -10
(40/100)*T = P + 15
U will get P = 85

(Since number of days are inversely proportional to the efficiency)
Now if A requires x days, so B requires 3x days.
∴ Difference of required days = (3x - x) = 2x = 10
    ► ⇒ x = 5
Hence the number of days required by
   ► B = 3x = 3 x 5 = 15 days

According to the question,
480 - 86 - x = 79  4 = 316
Or, lowest score = x = 480 - 86 - 316 = 78

The mean of 19 observations is 4.

New data when 24 is added:
76 + 24 = 100
New number of observations = 19 + 1 = 20

In P, quantity of Supari = 9/13
And quantity of Saunf = 4/13
In Q, quantity of Supari = 9/26
And quantity of Saunf = 17/26
When we add these two mouth fresheners:
Total quantity of Supari = 
Total quantity of Saunf = 
So, ratio of Saunf and Supari in R = 25 : 27

Let the initial volume of the cone be

After increasing the radius by 6 units, new volume 


After increasing the height by 9 units, new volume


By putting the value of x in equation (i), we get:

9r² = h[36 + 12r]

By putting the value of h in above equation, we get: 
9r² = 3[36 + 12r]
3r² - 12r - 36 = 0
r² - 4r - 12 = 0
r² - 6r + 2r - 12 = 0
r = 6 units

We'll start by denoting the height of the large cylinder by h₁ and the height of the small cylinder by h₂. For simplicity, we'll suppose x = h₁ + h₂.
If the bottom cylinder is completely filled and the top cylinder is only partially filled, the top cylinder will have a cylindrical space that is not filled. This cylindrical space will have a height equal to x - 20 and a volume equal to π(1)²(x - 20).
Similarly, if we turn the bottle upside down, there will be cylindrical space unfilled that will have a height equal to x - 28 and a volume equal to π(3)²(x - 28).
Since these two unoccupied spaces must be equal, we can write:
π(1)²(x - 20) = π(3)²(x - 28)
x - 20 = 9x - 252
8x = 232
x = 29
Therefore, the total height is 29 cm.