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24401.

`int(x^(2)+1)/(x^(4)-x^(2)+1)dx=` . . .A. `tan^(-1)((x^(2) +1)/(2))+c`B. `tan^(-1)(x^(2)) + c`C. `tan^(-1)(2x^(2) -1) + c`D. `tan^(-1)((x^(2) -1)/(x))+c`

Answer» Correct Answer - D
Let `I = int (x^(2) + 1)/(x^(4) - x^(2) + 1) dx`
`= int (1 + (1)/(x^(2)))/(x^(2) - 1 + (1)/(x^(2))) dx = int (1 + (1)/(x^(2)))/((x - (1)/(x))^(2) + 1)`
Put `x - (1)/(x) = t`
`(1 + (1)/(x^(2))) dx = dt`
`:. I = int (dt)/(t^(2) + 1) = tan^(-1) (t) + c`
`= tan^(-1) (x - (1)/(x)) + C tan^(-1) ((x^(2) - 1)/(x)) + C`
24402.

A pump fills 1,200 litres of water in a tank, after which it remains 60% empty. How much more water should go in to fill the tank to the brim?1. 1,800 litre2. 1,200 litre3. 3,000 litre4. 2,000 litre

Answer» Correct Answer - Option 1 : 1,800 litre

Given:

A pump fills 1200 litres of water in a tank, after which it remains 60% empty.

Calculation:

According to the question,

40% = 1200

⇒ 1% = 300

Total capacity of tank = 100% = 30000 litres

More water that should be filled = 3000 - 1200 = 1800 litres

∴ Quantity of water that should be filled in tank is 1800 litres​.

24403.

If the foot of the perpendicular drawn from the point (0,0,0) to the plane is (4,-2,-5) then the equation of the plane is . . .A. 4x + 2y + 5z = - 13B. 4x - 2y - 5z = 45C. 4x + 2y - 5z = 37D. 4x - 2y + 5z = - 5

Answer» Correct Answer - B
We have, foot of the perpendicualr drawn from the point (0,0,0) to the plane is (4,-2,-5).
`:.` Direction ratios of normal to the required plane is (0-4, 0 + 2, 0 + 5 i.e., -4, 2,5)
`:.` Required equation of plane passing through (4,-1,5) is
`a(x - x_(1)) + b (y - y_(1)) + c (z - z_(1)) = 0`
`implies (-4) (x - 4) + (-2) (y + 2) + (5) (z + 5) = 0`
`implies -4x + 2y + 5z + 16 + 4 + 25 = 0`
`implies 4x - 2y - 5z = 45`
24404.

The value of sin `18^(@)` isA. `(sqrt(5) +1)/(4)`B. `(sqrt(5)-1)/(2)`C. `(4)/(sqrt(5)+1)`D. `(4)/(sqrt(5)-1)`

Answer» Correct Answer - B
Let, `theta = 18^(@)` ,
then `2 theta = 36^(@) = 90^(@) - 54^(@) = 90^(@) - 3 theta`
Now, `"sin" 2 theta = "sin" (90^(@) - 3 theta)`
`implies "sin" theta cos theta = cos theta`
`implies 2 "sin" theta cos theta = 4 cos^(3) theta - 3 cos theta`
`implies 2 "sin" theta cos theta = cos theta (4 cos^(2) theta - 3)`
`implies 2 "sin" theta = 4 cos^(2) theta - 3 (As cos theta != 0)`
`implies 2 "sin" theta = 4 - 4 "sin"^(2) theta - 3`
`implies "sin"^(2) + theta + 2 "sin" theta - 1 = 0`
`implies "sin" theta = (-2 +- sqrt(4) + 16)/(2(4)) = (- 1 +- sqrt(5))/(4)`
But as `"sin" theta gt 0` we have `"sin" theta gt 0` we have
`"sin" = (sqrt(5) - 1)/(4)`
`"sin" 18^(@) = (sqrt(5) - 1)/(4)`
24405.

UFO stands for ______. A) Unknown Flying Object B) Unmanned Flying Object C) Unidentified Flying Object D) Unreal Flying Object E) Unrecognizable Flying Object

Answer»

Correct option is C) Unidentified Flying Object

24406.

Which of the following is not equal to `w.(u xx v)`?A. `u.(v xx w)`B. `v.(w xx u)`C. `(u xx v) .w`D. `v.(u xx w)`

Answer» Correct Answer - D
Use `(a xx b), c = (b xx c).a = (c xx a) .b`
`:. W.(u xx v) = - v.(u xx w)`
24407.

A particle moves so that x=2+27t-`t^(3)`. The direction of motion reverses after moving a distance of . . . Units.A. 80B. 56C. 60D. 65

Answer» Correct Answer - B
We have, `x = 2 + 27t - t^(2)`
`implies (dx)/(dt) = 27 - 3t^(2)`
since, direaction will be reverse,
`:. (dx)/(dt) = 0`
`implies 27 - 3t^(2) = 0`
`implies t = 3`
`:.` Distance `x 2 + 27t - t^(3)`
`= 2 + 27 xx 3 - (3)^(3)`
`= 2 + 81 - 27 = 56` units
24408.

A public sale where things are sold to the people who offer the most money for them is ______. A) audience B) attic C) auction D) atlas E) astrologer

Answer»

Correct option is C) auction

24409.

Two stored buses are called ______. A) liners B) the underground C) street-cars D) double-deckers E) coaches

Answer»

Correct option is D) double-deckers

24410.

FORMULA F=mgF-force (N), m-mass(kg), g-gravitational field strength (N/kg)    1.    what is the force of a hallow block with a mass of 4.5 kg?    2.    what is the mass of an object that has a force of gravity of 167 N?    3.    what is the gravitation field strength in the moon if the force of gravity of a spacecraft with a mass of 250 kg on the moon is 408 N?

Answer»

F = mg; g = 10 N/kg

(1) F = 4.5 x 10 = 45 N

(2) 167 = m x 10

m = \(\frac{ 167}{10}\) = 16.7 kg

(3) 408 = 250 g

g = \(\frac{408}{250}\) 

= 1.62 N/kg

24411.

My brother is ______ a book. A) riding B) reading C) speaking D) playing

Answer»

Correct option is B) reading

24412.

Piano, organ, bagpipe, violin ______. A) kettle B) kettledrum C) violet D) pinochle E) organic

Answer»

Correct option is  B) kettledrum

24413.

Students of this class are very ______ on their subjects. A) keen B) enjoy C) usefulD) good

Answer»

Correct option is A) keen

24414.

At the same temperature and pressure and volume of two gases, which of the following quantities is constant -A. Total number of moleculesB. Average kinetic energyC. Root mean square velocityD. Mean free path

Answer» Correct Answer - A
n = `("PV")/("RT")`
24415.

I ______ a lot of time at the concert. A) use B) waste C) spend D) fill

Answer»

Correct option is C) spend

24416.

10 g of ice at `0^@C` is mixed with 100 g of water at `50^@C`. What is the resultant temperature of mixtureA. `31.2^(@)`CB. `32.8^(@)` CC. `36.7^(@)`CD. `38.2^(@)`C

Answer» Correct Answer - D
`theta_("mix")=(m_(w)theta_(w)-(m_(i)L_(i))/(c_(w)))/(m_(i)+m_(w))`
`=(100xx50xx-10xx(80)/(1))/(10+100)`
=`38.2^(@)`C
24417.

______ is a large area covered with trees. A) sea B) forest C) desert D) field

Answer»

Correct option is B) forest

24418.

There are sometimes more players than ______. A) spectators B) referees C) teams D) scores

Answer»

Correct option is A) spectators

24419.

They are very ______ on music. A) keen B) fan C) like D) respect

Answer»

Correct option is A) keen

24420.

Sea, ocean, river, lake, ______. A) seaman B) riverside C) beach D) pond E) shelf

Answer»

Correct option is  D) pond

24421.

What are cyanobacterial biofertilizers?

Answer» Cyanobacteria such as Nostoc, Anabaena, Tolypothrix Aulosira, etc. which are used as fertilizers are called cyanobacterial biofertilizers.
24422.

What are flocs used in secondary sewage treatment?

Answer» Flocs are the masses of bacteria associated with fungal filaments which form mesh like structures due to vigorous growth of useful aerobic microbes.
24423.

A heat engine absorbs 760 kJ heat from a source at 380K. It rejects (i) 650kJ, (ii) 560kJ, (iii) 504kJ of heat to sink at 280K. State which of these represent a reversible, an irreversible and an impossible cycles.

Answer»

Solution: 
According to 2d law of Thermodynamics:
delta(T/T1) = A/Q
A = deltaT *Q / T1 = 100 * 760 / 380 = 200 kJ. 
Rejected: 760 – 200 = 560 kJ – ii (reversible cycle).
Hence (ii) 560 kJ - reversible cycle. 

24424.

Poisons cause unconsciousness in insects and are fat soluble a. Narcotic poisons b. Nerve poisons c. Physical poison d. Miscellaneous

Answer»

b. Nerve poisons 

24425.

Micro environment is ________a. Environment very close to an organism b. General environment c. Environment of a certain area. 

Answer»

a. Environment very close to an organism

24426.

It is said apomixis is a type of asexual reproduction. Justify.

Answer»

In apomixis, there is no fertilization involved. Since, it does not involve fertilization, it is used as asexual means or vegetative propagation method. Though it is asexual, it still uses the sexual organs of the plant– the ovary and the ovules.

24427.

Identify the mismatched pair. 1. Cutting – Rose 2. Layering – Mango 3. Grafting – Nerium

Answer»

2nd and 3rd pairs are mismatched.

24428.

What is the function of epiglottis ?

Answer»

Epiglottis controls the movement of air and food towards their respective passages.

24429.

A single gene is usually seen to exhibit a single phenotypic expression. Pleiotropic genes, however, can impact multiple phenotypic expressions. Which of these genetic disorders have multiple phenotypic expressions being impacted by a change in a single gene? A. thalassemiaB. haemophilia C. phenylketonuria D. Down’s syndrome

Answer»

C. phenylketonuria 

24430.

Consider the pedigree chart given below.Since only males and offsprings from the affected males are getting affected, the gene responsible for the genetic disease is likely to be located on which of the following? A. Y chromosome B. X chromosome C. autosomal chromosomes D. (both sex chromosomes and autosomes)

Answer»

A. Y chromosome 

24431.

Which of these statements about food storage in seeds is/ are TRUE 1: It is stored in the endosperm in albuminous seeds. 2: It is stored in the cotyledons in albuminous seeds. 3: It is stored in the cotyledons in ex-albuminous seeds. 4: It is stored in the endosperm in the ex-albuminous seeds. A. only 1 B. only 2 C. only 1 and 3 D. only 2 and 4

Answer»

C. only 1 and 3 

24432.

The technique in which a congested node stops receiving data from the immediate upstream node or nodes is called as _______(a) Admission policy(b) Backpressure(c) Forward signaling(d) Backward signaling

Answer» The correct option is (b) Backpressure

To explain I would say: In this closed loop congestion control technique, the congested node propagates in the opposite direction of the data flow to inform the predecessor node to reduce the flow of packets. This is why this technique is called a node-to-node congestion control technique.
24433.

Discarding policy is mainly done by _______(a) Sender(b) Receiver(c) Router(d) Switch

Answer» Correct choice is (c) Router

For explanation: The discarding policy adopted by the routers mainly states that the routers discard sensitive or corrupted packets that it receives, thus controlling the integrity of the packet flow. The discarding policy is adopted as an open loop congestion control technique.
24434.

Closed-Loop control mechanisms try to _________(a) Remove after congestion occurs(b) Remove after sometime(c) Prevent before congestion occurs(d) Prevent before sending packets

Answer» The correct option is (a) Remove after congestion occurs

Explanation: In closed loop congestion control, methods are implemented to remove congestion after it occurs. Some of the methods used are backpressure and choke packet.
24435.

Give the chemical nature of ribosomes.

Answer»

rRNAs and proteins

24436.

What is the water potential of pure water at atmospheric pressure? What happens to it when solutes are added to it?

Answer»

Zero, Water potential is decreased and comes to more negative values.

24437.

Explain why pure water has maximum water potential?

Answer»

Water molecules possess kinetic energy. In liquid and gaseous form they are in random motion that is both rapid and constant. The greater the concentration of water in a system, the greater is its kinetic energy or ‘water potential’.

Hence, it is obvious that pure water will have the greatest water potential if two systems containing water are in contact,random movement of water molecules will result in net movement of water molecules from the system with higher energy to the one with lower energy. Thus water will move from the system containing water at higher water potential to having low water potential.

This process of movement of substances down a gradient of free energy is called diffusion. Water. potential is denoted by the Greek symbol Psi and is expressed in pressure units such as pascals(Pa). By convention, the water potential of pure water at standard temperatures, which is not under any pressure, is taken to be zero.

24438.

What are the factors responsible for ascent of xylem sap in plants? 

Answer»
  • Cohesion: The mutual attraction between water molecules 
  • Adhesion: The attraction of molecules to polar surface e g., the surface of tracheary elements 
  • Surface Tension: The water molecules are attracted to each other in liquid phase more than to water in gas phase.

All these properties provide water high tensile strength (an ability to resist a pulling force) as well as high capillarity (ability to rise in a thin tube). 

In plants, capillarity is aided by the small diameter of both tracheids and vessels.

24439.

Explain one Indian and one international body therapy with their precaution and benefits?

Answer»

To cure the diseases we are using different techniques for treatment:

Indian techniques of treatments are as under:

1. Shirodhara 

2. Colour therapy 

3. Mud therapy 

4. Body wrap etc.

International technique of treatments are as under:- 

1. Jacuzzi hydro therapy 

2. Medical SPA’s 

3. Acupressure massage 

4. Shiatsu 

5. Reiki 

6. Reflexology

One Indian body therapy:

Mud Therapy – Mud is an important element of nature. It is also known for its healing properties. It contains important minerals which have positive effect on human health. Mud can absorb toxins from human body. It also helps in cooling or warming and relaxing the body. Mud can hold moisture for long time.

Types of mud:- It is important to note that before using any type of mud it should be dried, powdered and sieved to remove any type of impurities such as stones, grass etc. Mud found in different parts of the world has different properties.

Types of mud are:

1. Black mud- This mud is rich in mineral and also retains water for long time. 

2. Mud from dead sea- This mud has beautifying & therapeutic powers. It contains more than 20 kinds of salts and minerals. They are beneficial for any kind of skin dis orders. The mud enhances blood circulation and leaves the skin with glow. 

3. Moor mud- This mud is produced is over thousands of years from organic residue of flowers grasses and herbs. This is transformed into fine paste which contains acids, vitamins, amino acids and plant harmones etc.

This mud has therapeutic properties and is useful in detoxification, healing, beautification nourishing human body. 

This also have anti aging and inflammatory effects.

Benefit:

1. It relaxes muscles and improves blood circulations. 

2. It can be useful in swelling and relieves pain. 

3. It is good for the hairs and for the skin. 

4. It gives positive effect on digestion

One International body therapy:

SHIATSU – It is a Japanese treatment consisting of finger and palm pressure and other massage techniques. It is a physical therapy in the form of Accupressure. It uses finger or thumb pressure on points to help relieve pain and encourage the body to heal itself.

Shiatsu is originated in Japan Shi-atsu means ‘finger pressure’ in Japanese. It relaxing and regular treatment can alleviate stress and illness and maintain health.

Shiatsu has a number of differents style it is based on traditional Chinese medicine. First Shiatsu College came up first in 1940.

Shiatsu is performed on a futon mat with client fully clothed.

24440.

Describe “Shirodhara” the Indian body treatment in detail?

Answer»

SHIRODHARA:- Suke warm herbal oil is poured in a stream continuously on to the forehead with a general massage on the head. The content of oil varies according to the basic need of the client. In Ayurveda, head is considers as the root of the body. There are many medical plants which helps in improvement of the head or brain.

Benefit of Shirodhara:

1. This treatment induces relaxation and is very beneficial for vital ability 

2. It rejuvenates and revitalizes the mind and body. 

3. This relieves stress and strain, prevents aging, improves memory, cure paralysis and other neurological malfunctions. 

4. It improves the blood circulation to the upper part of the body. 

5. It is also effective in hair falling and early greying of hair and improves power of speech. 

Contra indications:

1. It should not performed in the following conditions:- Heart disease, Pregnancy, Menstruating, fever, Oedema, Infections pre-care advice- Nothing should be taken 30 minutes before the treatment.

24441.

Name and draw any 5 certificates of quality that can be given to a food product in the Indian/International market.

Answer»

HACCP, FASSAI,AGMARK, FPO, ISI

24442.

Illustrate and define the yogasana good for diabetic or sugar patient?

Answer»

Ardhmatsendra sana –(the half spinal twist)

This asana has many benefits but the most important benefit is for a diabetic patients

Method:- Sit on the mat, bring the left leg over the right so that foot is on the right side of the right leg with the foot as close into the body as in comfortable. Bring your left hand behind you and rest it on the flow. Inhale and lift your right arm straight up over your head, stretching the spine upwards. Exhale and turn the body to the left bringing the right arm out side the left knee. Look over the left shoulder. Keep your spine straight and be sure to keep your body weight on the spine. Make sure your shoulder stay parallel to the floor. To come out of the posture inhale and left the right arm over your head, stretch up, and exale and release the hand back down to the mat. Repeat it by opposite direction too.

Benefits:

1. Good asana for the sugar or diabetic . 

2. Increase flexibility in spine. 

3. Massage the abdominal organs which helps to relieve constipation. 

4. Helps to cure nervous disorders. 

5. Brings peace of mind.

24443.

Who has been Honoured with Ashoka Chakra at the 69th Republic Day 2018?1. Hangpan Dada2. Mukund Varadarajan3. Mohan Goswami4. Jyoti Prakash Nirala

Answer» Correct Answer - Option 4 : Jyoti Prakash Nirala

The Correct Answer is Jyoti Prakash Nirala.

 

  • The Ashok Chakra for the year 2018 was awarded posthumously to Indian Air Force Garud Commando Corporal Jyoti Prakash Nirala.
  • Corporal Nirala was killed after he shot down three terrorists in Jammu and Kashmir in 2017.

 

  • Ashok Chakra is India's highest peacetime military honor which is awarded for valor, courageous efforts, and self-sacrifice.
  • Following categories of persons are eligible for the Ashoka Chakra:
    • Men and women of all ranks of the Army, the Navy and the Air Force, any of the Reserve Forces, the Territorial Army, Militia, and any other lawfully constituted forces.
    • Members of the Nursing Services of the Armed Forces.
    • Civilian citizens of either sex in all walks of life and members of Police Forces including Central Para-Military Forces and Railway Protection Force.

 

  • The order of precedence of gallantry awards is
    • Param Vir Chakra
    • Ashoka Chakra
    • Mahavir Chakra
    • Kirti Chakra
    • Vir Chakra
    • Shaurya Chakra
24444.

There are _____ types of Heart Chambers.

Answer»

There are 4 numbers of Heart Chambers.

24445.

List different exercise of ‘Sun greeting’ or Surya namaskar’ with their respective mantra.

Answer»

Surya namaskar is a ‘Sarvang sundar vyayam’. Where every limit of the body gets uniform exercise and is coupled with training the mind to concentrate. By performing it daily, one can shape ones personality and future life. It has a sequence of asanas. It origins lie in a worship of Surya, the Hindu solar deity. 

Procedure:

1. Stand erect joined the palms of the hand in front of the chest keeping both the hands well tight raise them so much that the portion from the feet to hand is straight. Breathing slowly and deeply that exale. 

2. As you inhale raise the arms over the head, keeping them along side the years with feet bend backward and loot at the hand. 

3. Bend backward as you exhale and try to place the palm flat on the floor on either side of the feet. The knee should be kept straight. Try to touch the knees with your face. Pull your stomach in. 

4. Stretch the left leg back. Bringing left knee to the floor. The right foot remains between the hands with the knee touching the chest. Inhale as you do this and look up. 

5. As you exale fully bring the right leg back to meet the left foot. In body now form and arch resting only the palms and fat look at the feet and try to keep the heels flat on the ground. 

6. This is the sashtaang position keeping the hands and feet where they are inhale, bend your arms and lower. Your body should touch the ground only with the toes chest, forehead and the palms. But the buttock with be raised up a little. 

7. Bringing the pelvic to the floor, stich up the head, neck and cheaks and look at the up and hold the breath. 

8. As you breathe out lift the buttock push the head again in position. 

9. Inhale the left leg. Forehead between the hands with left leg stretched back with the right knee touching the ground look up and try to bend your head back. 

10. This is a repeatition of position exchange. Bring the right leg forward and stretch the knee. 

11. Keeping the arms along side the ear stretch up and back as you inhale as in position second.

12. Exhale as you bring the arms down joints the palms in front of the chest as in position first.

Mantras of Surya:

1. Om Mitraye Namah 

2. Om Ravye Namah 

3. Om Suryaye Namah 

4. Om Bhanve Namah 

5. Om Khagaye Namah 

6. Om Pushne Namah 

7. Om Hiranyagarbhaye Namah 

8. Om Marichaye Namah 

9. Om Adityaya Namah 

10. Om Savitrey Namah 

11. Om Akraye Namah 

12. Om Bharkaye Namah

Benefits: 

1. It has a beneficial influence over the entire perosonality. 

2. It is complete combination of body posture, breathing and a prayer full attitude mind. To relax the restless mind. 

3. This will make the mind alert. 

4. The morning rays of the sun are very beneficial for skin.

24446.

Pneumonia may lead _____ death. A) towards B) to C) up to D) for

Answer»

Correct option is B) to

24447.

Total number of exercises in surya namaskar are ___

Answer»

Total numbers of exercises in Surya namaskar are 12.

24448.

To start your business in partnership, you can have one partner and up to _____ partners.

Answer»

To start your business in partnership you can have one partner and upto 20 partners.

24449.

A shortage of vitamin C result _____ skin infections and stow healing. A) in B) from C) to D) for

Answer»

Correct option is A) in

24450.

Tratak stimulates _____ chakra

Answer»

Tratak stimulates AGYA Chakra.