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Correct Answer is : (a) funny

(d) crisscross

1. (b) horizontal crossing

2. (d) consolation

3. (d) sense of beauty

4. (c) equipmen

5. (c) criterion

a = 6, d = 3 ; a₂₅ = 6 + 24(3) = 78

a₁₅ = 6 + 14(3) = 48 ; a₂₅ - a₁₅ = 78 - 48 = 30

OR

7(a + 6d) = 5(a + 4d)

⇒ 2a + 22d = 0

⇒ a + 11d = 0

⇒ t₁₂ = 0

5mx² - 6mx + 9 = 0

b² - 4ac = 0

⇒ (-6m)² - 4(5m)(9) = 0

⇒ 36m(m - 5) = 0

⇒ m = 0, 5 ; rejecting m = 0, we get m = 5

Concept Used :-

Multiplication of a number by 25

Method :-

The answer is written as (N / 4) × 100, where N is the number to be multiplied by 25.

Calculation :-

mx(6x+10)+25=0
6mx² +10mx+25=0
Roots are equal so D=0
{10m}² −4.25(6m)=0
m² −6m=0
m(m−6)=0
∴m=6

Correct answer is:- (D) f(x) = x² - 15x + 57

Explanation:- Let, 

f(x) = ax² + bx + c... (1)  

Now, f(x + 5) = a(x + 5)² + b(x + 5) + c

x² - 5x + 7 = ax² +10ax + 25a + bx + 5b + c. 

Comparing the coefficient of x², we get a = 1, 

x² - 5x + 7 = x² + 10x + 25 + bx + 5b + c

-15x - 18 = bx + 5b + c, 

Comparing the coefficient of x, we get b = -15, 

-15x - 18 = -15x - 75 + c

c = 57. 

Putting the values of a, b and c in (1) we get, 

f(x) = x² - 15x + 57. 

Therefore, the required polynomial is x² - 15x + 57 

(D) x² - 15x + 57

f(x + 5) = x² - 5x + 7

\(\therefore\) f(x) = (x - 5)² - 5(x - 5) + 7 (By taking x -5 as x)

 = x² - 10x + 25 - 5x + 25 + 7

 = x² - 15x + 57

3^x + 2 + 3^-x = 10

⇒ 3^x + 3^-x - 8 = 0

⇒ 3^2x + 1 - 8 x 3^x = 0

⇒ (3^x)² - 8 x 3^x + 1 = 0 which is a quadratic equation in 3^x.

∴ 3^x = \(\frac{-(-8)\pm\sqrt{64-4}}{2}=\frac{8\pm\sqrt{60}}{2}=\frac{8\pm2\sqrt{15}}{2}\) = 4±√15

⇒ x = log₃ (4+√15) or x = log₃ (4-√15).

9x² – 13x + 4 = 0

a = 9, b = −13 and c = 4

∴ Discriminant = b² – 4ac

= (−13)² – 4(9)(4)

= 169 – 144 

= 25

Since 25 is a perfect square.

Since D > 0, then equation has two real and unequal roots. 

Water, warm fluids should be given when the victim is conscious.

Remove the victim from the source, fresh air and artificial respiration if necessary.

Support the injured part and painkillers. 

By the colour of the blood which is bleeding.

Cooling method means elimination of heat from the fire. 

Take care to stop the bleeding by giving pressure

Determining the nature and courage of a disease. 

Starvation method means elimination of fuel from the fire. 

a. Double female adapter (1 No). 

b. Delivery hose pipe (50 feet – 2 Nos). 

c. Branch pipe (1 No). d. Valve wheel (1 No). 

e. A hose box key (situated in a cabinet at side of hose box). 

Co₂ flooding system is provided in diesel generator and turbine oil tank area. Mulsifyre system is provided in generator transformer, start up transformer and unit transformer areas.

Blanketing method means elimination of oxygen from the fire.

Do first thing first, artificial respiration, stop bleeding and treat shock. Do not attempt too much, reassurance, avoid crowing and transfer. 

a. Class A – Ordinary fire like burning of paper, wood etc. 

b. Class B – Oil fire like burning of petrol, diesel, LPG etc. 

c. Class C – Gas and dust fire like burning of butane, acetone, natural gas etc. and burning of dust like uranium dust, sodium dust etc. 

d. Class D – Metal fire like burning of uranium, thorium, sodium etc. 

e. Class E – electric fire example transformer or switchgear fire etc.

For combustion to take place three elements are needed. They are fuel, heat and oxygen. This is called the triangle fire. Combustion can not survive without these three. Remove any one of them, combustion ceases to take place. So wherever fuel, oxygen and heat is there together combustion takes place. 

a. Soda acid type – suitable for Class A type of fires. 

b. Foam type – suitable for Class A and Class B type of fires. 

c. Carbon-di-oxide type – suitable for Class B, Class C and for Class E type of fires. 

d. Dry chemical powder – suitable for Class B, Class C, Class D and Class E fires. 

e. Halons BCF (bromo chloro difluoro methane) – suitable for Class A, Class B, Class C and Class E types of fires. 

Foam is used as a blanketing effect in a fire. 

Water is used as a cooling effect in a fire.

Co₂ is a non-conductor of electricity.

Co₂ or DCP type fire extinguisher can be used on fire involving electronic equipments.

a. Sand. 

b. Water. 

c. Foam. 

d. Carbon – di – oxide. 

e. Dry chemical powder. 

f. Halons.