DSSSB TGT Mathematics Mock Test - 8 - DSSSB TGT/PGT/PRT MCQ

Francois Bernier was briefly personal physician to Mughal prince Dara Shikoh. Dara Shikoh was the eldest son and heir-apparent of the fifth Mughal emperor Shah Jahan.

Forces are said to be balanced when two equal and opposite forces acts on an object which makes net force to be zero. Balanced forces are acting means object will be rest. When unbalanced forces are acting on object it starts moving in the direction of force. Example a book kept on table has two forces gravitational force acting downwards and normal force acting upwards. As two forces are equal and opposite the net force will be zero and object remains at rest. and if resultant force is zero the object would be moving with uniform acceleration as there would be no acceleration

So option D is correct

Husk of coconut is made up of sclerenchymatous tissue.

It is present in mesocarp of fruit of coconut and a yield a coir a well known fibre used for making mats, ropes, cords, brushes e.t.c.

Sclerenchymatous tissue are found in stems( around the vascular bundle) , roots, vein of leaves, hard coverings of seeds and nuts.

The function of sclerenchymatous tissue is mainly mechanical & protective. It gives strength , rigidity ,flexibility and elasticity to the plant body.

Persons: L, M, O, P, R and S 
1. M sits third to the right of R.
2. L sits second to the right of M.
3. S sits to the immediate left of M.
4. R is sitting to the immediate left of O.

Hence, the neighbors of O are R and S.

Step 1: First letter pattern

• Positions in the alphabet: Q = 17, S = 19, U = 21, W = 23

• Each jumps +2 ⇒ next is 23 + 2 = 25 ⇒ 25th letter is Y

Step 2: Number pattern
Look at how each number is obtained from the previous one:

• Start with 1

• To get 2: 1 × 1 + 1 = 2

• To get 6: 2 × 2 + 2 = 6

• To get 21: 6 × 3 + 3 = 21
  Notice the multiplier and addend both increase by 1 each time (1, 2, 3,…).

• Next: take 21, multiply by 4, then add 4 ⇒ 21 × 4 + 4 = 84 + 4 = 88

Step 3: Last letter pattern
The trailing letters go: F, F, D, C,…

• F→F (no change)

• F→D (back 2 letters)

• D→C (back 1 letter)
  A simple way to see the trend is that after two F’s, you step backward through the alphabet: F, D, C, B…
  Thus the next is B.

Putting it all together, the next term is Y88B

As, 123 → 13²

As, 235 → 25³

The middle digit of first term becomes power to the next term.

After walking 2 km from E, Toby reaches the starting point O. So, the distance between O and F is 0 km.

O - 1 = N
P - 1 = O
P + 1 = Q
O + 1 = P
S + 1 = T
I + 1 = J
T - 1 = S
E - 1 = D
OPPOSITE → NOQPTJSD

Similarlly,

S - 1 = R
T - 1 = S
R + 1 = S
A + 1 = B
I + 1 = J
G + 1 = H
H - 1 = G
T - 1 = S
STRAIGHT → RSSBJHGS

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

Product of the two number = 11a×11b = 4235
11a×11ab = 4235/121 = 35
35 = 7 × 5 (co prime)
77 × 11 = 77

(331 + 19)*(15 – 11)*(37 + 13) = 350 * 4 * 50 = 70000

So Option B is correct

The word 'ruthless' in the sentence refers to having no compassion or pity. The opposite of being ruthless would be to show mercy or compassion.

• merciless- This is not the opposite as it means showing no mercy or pity. It is similar to being ruthless.
• majestic- This word describes something as impressive and grand. It is not related to the concept of ruthlessness.
• merciful- This is the opposite of ruthless. It means showing mercy or compassion, which is contrary to being ruthless.
• heartless- This is not the opposite as it means showing a lack of empathy or compassion, similar to being ruthless.

Therefore, the antonym to the word 'ruthless' in the sentence is 'merciful'.

रावी एक नदी का नाम है, अधिकतर नदियो का नाम स्त्रीलिंग में ही होता है। अतः रावी स्त्रीलिंग शब्द है।

दिए गए सभी विकल्पों में सही उत्तर विकल्प 4 ‘संबंध’ है। अन्य विकल्प इसके अनुचित उत्तर होंगे। 
स्पष्टीकरण:  
‘परंपरा’ का अर्थ है- रीति-रिवाज, अटूट सिलसिला, प्रथा, प्रणाली, चलता हुआ क्रम आदि।  
अन्य विकल्प:

'अनुगृहीत' शब्द की वर्तनी शुद्ध है। शेष विकल्प त्रुटिपूर्ण हैं। 'अनुगृहीत' का अर्थ 'उपकृत, कृतज्ञ' एहसानमंद' होता है। 
अत: विकल्प (B) सही है I

Concept:

If A is any square matrix of order n, we can form the matrix , where Is the n th order unit matrix. The determinant of this matrix equated to zero i.e. is called the characteristic equation of A.

The roots of the characteristic equation are called Eigenvalues or latent roots or characteristic roots of matrix A.

Eigenvector (X) that corresponding to Eigenvalue satisfies the equation .

Properties of Eigenvalues:

The sum of Eigenvalues of a matrix A is equal to the trace of that matrix A

The product of Eigenvalues of a matrix A is equal to the determinant of that matrix A

Calculation:

Given,

Eigenvectors are: and

For , let the Eigenvector is

For , let the Eigenvector is

Now,

Given,

(i)

As we know,

Squaring both sides, we get

(ii)

Comparing equation (i) and (ii), we get

Given,

Given:

Given:
If equation of circle is , then radius is r and centre is (a, b)
Distance between the centers of both the circles is greater than the difference of both the radius and lesser than the sum of both the radius.
Distance between two points can be calculated =

Distance between the centers of both the circles is greater than the difference of both the radius and lesser than sum of both the radius.

Given:

displaces a particle by

As we know that, Force • Displacement

units

Given:

I = (6 + 5i)²

∵ (a + b)² = a² + 2ab + b²

= 36 + 60i + 25i²

= 11 + 60i       (∵ i² = -1)

Conjugate of (11 + 60i) = 11 - 60i

Concept:

If

Given: 

It is possible only when n = 5 + 7 = 12