RRB JE ECE (CBT I) Mock Test- 7

= HCF of 2472, 1236 and 3708

= 1236

Product of digits of n = 1 x 2 x 3 x 6 = 36

Average runs scored in a match by Rohit = 52(1 - 25/100) = 39

Given, 52*5k - 39*6k = 546

=> 26k = 546

=> k = 21

Number of Matches played by Kohli = 5*21 = 105

For 2m² + 7m - 60 = 0:

2m² - 8m + 15m - 60 = 0

m = -15/2,

Quadratic equation 4x2 - 3m√2x + k = 0 has equal roots, therefore,

D = 0 = (-3m√2)² - 4 x 4 x k

For m = 4:

18 x (4)² = 16 x k

k = 18

Total marks of Rakhi = 78 + 60 + 96 + 124 = 358

Rakhi's percentage = (358/500) x 100 = 71.6%

Total marks of Jay = 56 + 80 + 88 + 92 = 316

Jay's percentage = (316/500) x 100 = 63.2%

Total marks of Amit = 95 + 90 + 80 + 75 = 340

Amit's percentage = (340/500) x 100 = 68%

Total marks of Urvi = 70 + 70 + 120 + 105 = 365

Urvi's percentage = (365/500) x 100 = 73%

Interest for 3 years = Rs 2600 - Rs 2240 = Rs 360

=> Interest for 2 years = 360x2/3 =Rs 240

Hence, principal = (2240 - 240) = Rs 2000

0, 0, 1, 1, 2, 2, 2, 3, 4, 4

Total terms = 10 = Even

Median = [(n/2)th term + {(n/2) + 1} th term]/2

=> [(10/2)th term + {(10/2) + 1}th term]/2

(E) Present age of C = 4A * (3/4) = 3A

(B) Present age of E = (3A + 7) = 16 => A = 3

(A) Age of A and C is 12 years and 9 years respectively

(D) Present age of B = 12 + 6 = 18 years and present age of D = 18 * (100/75) = 24 years

(C) Required average = (18 + 9 + 24)/3 = 17 years

Average age is 54 years which means the sum of their ages = 108 years

i.e. 36x = 108

or x = 3

Hence their ages are 69 and 39 years respectively.

After 6 years, their ages would be 75 and 45 years

So the required ratio = 75:45 = 5:3

Given, (a+b+c+d+e)/5=36

a+b+c+d+e = 180

a = (b+c+d+e)/5

a = (180-a)/5

a = 30

= √(9² - 4³ + 3) * √(2⁵ * 10^-1)

= √(81 - 64 + 3) * √(32 ÷ 10)

= √20 * √3.

= √(20 * 3.2)

= √64

= 8

= (10 +5 +5 +10 +5)

= 35.

Total number of non-correct questions out of total number of questions attempted by all 5 persons in mains exam

= (30 +15 +11 +30 +40)

= 126

Required ratio= 35/126

According to the question:

840 = 2a x 3a x 5a

a = 28

Therefore, the numbers are (2 x 28), (3 x 28) and (5 x 28) respectively.

Hence, HCF of these numbers = 28

Further, it is given that these discounts are equal, so 0.3x = 0.35y=> x: y = 7: 6

i.e. marked price ratio is 7:6.

Now, check for all the given options.

180/(28 - r) = 4 + 180/(28 + r

45/(28 - r) - 45/(28 + r) = 1

90r/(784 - r²) =

r² + 90r - 784 = 0

(r - 8)(r + 98) = 0

r = 8

Ratio of heights of Asif and Bharat = 3:4 = 9:12

Ratio of heights of Bharat and Chatur = 6:7 = 12:14

Ratio of heights of Asif, Bharat and Chatur = 9:12:14

Sum of parts of the ratio = 9 + 12 + 14 = 35

Asif's height =(9/35)*175*3 = 135 cm

In 4 days = 44/120

By C in last 6 days = 6/60 = 1/10

Total = 44/120 + 1/10 = 56/120

Work left = 1 - 56/120 = 64/120

Work done by B and C in one day = 1/40 + 1/60 = 5/120

Work left is done by B and C. Number of days it takes = (64/120)*(120/5) = 64/5

Total time = 10 + 64/5 = 22 4/5

It gains 5 minutes in 40 minutes

It gains 1 minute in 8 minutes

It gains 1 hr in 480 minutes

It gains 24 hr in 480*24 minutes or (480*24)/(60*24) or 8 days

x/y + y/x + 1 = 0

=> x² + y² + xy = 0

=> x² - 2xy + y² + 3xy = 0

=> (x - y)² = −3xy

=> (x - y)⁶ = −27x³y³

(x - y)⁶/9x³y³

∴ = (−27x³y³)/9x³y³

= −3

Overall change in the price of the TV = -10-10+100/100=-19%

Cost Price of the TV after two years = 20000-(19/100 X 20000)=Rs.16200

Diagonal AC of square = Side x √2 =10√2 cm

AC is also the diameter of a circle.

Radius of circle = 5√2 cm

Area of circle = 3.14 x (5√2)² = 3.14 x 50 = 157 cm²

Area of square = 100 cm2

Area of blue portion = 157-100 = 57 cm².

His salary after 1st Hike = (110/100)*100x = Rs 110x

His salary after 2nd Hike = (125/100)*110x = Rs 137.5x

Given 137.5x - 100x = 24000

=> 37.5x = 24000

=> x = 640

increase in his salary from the first hike to the second Hike

= 137.5x - 110x

= 27.5x

= Rs 17,600

Option (1):

= Product of 3rd root of 2197 and √6889

= 13 x 83

= 1079

Option (2):

= Product of 4th root of 4096 and √1377

= 8 x 9√17

= 72√17 (irrational)

Option (3):

= Product of 3rd root of 3375 and √5929

= 15 x 77

= 1155

Option (4):

= Product of 4th root of 2401 and √1444

= 7 x 38

= 266

Area cleaned by the car wiper in 1 sweep

= (1/2) x (22/7) x (L)²

L² = 693 x (7/11) = 63 x 7

L = 21 inch.

Area cleaned by car wiper in a sweep if its length decreased by 3.5 inch.

= (1/2) x (22/7) x (17.5) x (17.5)

= 481.25 sq. inch.

= (70 * 150)/60 min

= 175 km

New speed = (70 + 30) km/hr = 100 km/hr

Time = (Distance )/speed

= (175 * 60)/100

= 105 min

Tan 60 = h/x

=> √3 = h/x

Or h = √3 x

Similarly,

1/√3 = h/(100-x)

=> 100-x = √3 h = 3x

=> x = 25

Therefore, h = 25√3 m

Average monthly sales for the year = 9300/12 = 775

b = 12 x 4 x 0.5 - 16 = 8

c = 21 - 30 x 0.5 = 6

Total selling price = 20a + 25b

Total cost price = 24a + 24b

No profit, no loss occurred. So,

Total selling price = total cost price

20a + 25b = 24a + 24b

4a = b

a: b = 1: 4

54% of x = 46% of x + 288

8% of x = 288

x = 288 x 100/8 = 3600. Hence, the answer option is (2).

Either conclusion I or II does not follow.

So,

swords = red

From 1 & 3

hidden = white

From 3 & 4

own = violet

From 1 & 4

area = black

From 1

in= yellow

From 2 & 3

for= grey

From 2

ready = green

From 3

safety = silver

From 4

under = blue

So, ‘black pink yellow’ is ‘Area in attack’

(a) Bhagat (d) Bhagirath (e) Bhagvant (c) Bhagvati (b) Bhagwat

F is the daughter - in - law of H.

= 6 × 3 = 18

ACCIDENT = 8

= 8 × 3 = 24

Similarly,

ZEBRA = 5

= 5 × 3 = 15

There is only one ‘S’ in the given word. So, RESPONSE cannot be formed.

A = [(a² + b² + c² + d²) - 1]

So, [(2² + 4² + 3² + 5²) - 1] = 54 - 1 = 53.

∆ABL, ∆BCD, ∆DEF, ∆FGH, ∆HIJ, ∆JKL, ∆KCG, ∆AEI, ∆LBM, ∆BMD,

∆DMF, ∆MFH, ∆HJM, ∆JLM, ∆ADJ, ∆BEH, ∆LFI, ∆CLF, ∆KBH, ∆JDG

So, missing term= 210 + [6 × (6 + 15)] = 210 + 126 = 336.

iron + water + oxygen → hydrated iron(III) oxide ( hydrated ferric oxide)

Rust forms when oxygen reacts with iron in presence of water/moisture.

The iron oxide reacts with oxygen to yield red rust, Fe₂O₃.H₂O

1. Salt is a white cubic crystal. When the salt is pure it is clear. It also appears in white, grey or brownish color depending upon the purity.

2. It is odourless but has a strong salty taste.

3. Solubility in water is different at different temperatures.

4. Hygroscopic(ability of a substance to attract and hold water molecules from the surroundings)

The molecules, atoms or ions in solids are closely packed, i.e., they are held together by strong forces and cannot move about at random. Hence solids have definite volume, shape, slow diffusion, low vapour pressure and possess the unique property of being rigid.

The human ear is capable of hearing many of the sounds produced in nature. Any frequency that is below the human range is known as infrasound.

Bats, whales, porpoises, and dolphins use ultrasound for navigation. Most bats can detect frequencies as high as 100,000 Hz.

According to Newton, whenever objects A and B interact with each other, they exert forces upon each other. These forces are called action and reaction forces and are the subject of Newton's third law of motion. Formally stated, Newton's third law is:

For every action, there is an equal and opposite reaction.

All the above given options are examples of the stated law.

It is for this reason that mitochondria are often referred to as the powerhouses of the cell. Cells that need a lot of energy, like muscle cells, can contain thousands of mitochondria.

When the breakdown products from the digestion of food find their way into the cell, a series of chemical reactions occur in the cytoplasm.

This allows some of the energy locked up in these products to be released and incorporated into the universal energy supplier in cells known as ATP (adenosine triphosphate).

ATP → ADP + P + energy for bodily function.

Processes of the Nitrogen Cycle

Nitrogen fixation is the process of converting the atmospheric nitrogen (N²) into biological state nitrogen.

Nitrification is the process where the ammonium ions (NH₄) are converted into nitrides, first into nitrites (NO^2-) then into nitrate (NO^3-) which is done by the nitrogen-fixing bacteria.

Assimilation refers to how plants and animals obtain nitrogen. Plant roots absorb nitrates from the soil into the roots then into the entire plant system.

Ammonification is also termed as the decaying process. It occurs when the plant or animal dies then decomposers such as fungi and bacteria decompose the tissues and transform the nitrogen back into ammonium.

Denitrification is the process that changes nitrate to nitrogen gas, hence returning it into the atmosphere. This process releases the excess nitrogen in the soil back into the atmosphere

It is the second most common halogen on Earth.

Chlorine in its pure form is yellowish-green, but its common compounds are typically colourless.

Chlorine is vital for living organisms although highly concentrated pure chlorine is dangerous to living beings.

Chlorine has two stable isotopes, Cl-35 and Cl-37 while Cl-36 is radioactive.

An example is the vaporization of frozen carbon dioxide (dry ice) at ordinary atmospheric pressure and temperature. The phenomenon is the result of vapour pressure and temperature relationships.

Hoarfrost is formed by direct condensation of water vapour to ice at temperatures below freezing and occurs when air is brought to its frost point by cooling.

The uranium ore required to make fuel for nuclear power. Uranium is to be extracted from the rock in which it is found, then enriched in the uranium-235 isotope, before being made into pellets that are loaded into assemblies of nuclear fuel rods.

The boiling point of water depends on the purity of the water, atmospheric pressure. Water that contains impurities (such as salted water) boils at a higher temperature than pure wate.

Refraction of waves is the change in direction of waves as they pass from one medium to another.

Diffraction is the phenomenon known for the bending of a wave towards the small obstacles that spreads out as a wave fronts beyond the openings.

The membranes and associated fluid serve to protect the lungs and to provide lubrication. Lung tissue is delicate and easily damaged compared to muscle, bone, or connective tissue.

Protecting the lungs from damaging interactions with other tissues is important. The lungs are also constantly expanding and contracting. The pleural membranes and fluid allow the lungs to easily move within the body cavity with minimal friction from other organs.

The cerebrospinal fluid is kept separate from the blood supply by the blood-brain barrier.

Insulators are materials that have the opposite effect on the flow of electrons. They do not let electrons flow very easily from one atom to another. These electrons are not free to roam around and be shared by neighbouring atoms.

Some common insulator materials are glass, plastic, rubber, air, and wood.

Cartilage is a connective tissue found in many areas of the body including:

• Joints between bones e.g. the elbows, knees and ankles

• Ends of the ribs

• Between the vertebrae in the spine

• Ears and nose

Mass of proton: Mass of proton is 1.6726 x 10^-27 kg.

Mass of neutron: Mass of neutron is 1.6749 x 10^-27 kg.

Roentgen was conducting experiments with a Crookes tube - basically, a glass gas bulb that gives off a fluorescent light when a high-voltage current is passed through it - when he noticed that the beam turned a screen 9 feet away a greenish fluorescent color, despite the tube being shielded by heavy black cardboard.

2Mg(s)+O2(g)→2MgO(s)+energy

The molecule has the typical structure of a methane, which is the most related molecule due to chloroform is a methane where 3 hydrogen atoms have been substituted by 3 chloride atoms.

The molecular structure is tetrahedral.

Near-sightedness symptoms may include:

• Blurry vision when looking at distant objects

The need to squint or partially close the eyelids to see clearly

• Headaches caused by eyestrain

• Difficulty seeing while driving a vehicle, especially at night (night myopia)

When light is in a vacuum, its speed has that exact value, no matter who measures it. Even if the vacuum is inside a box in a rocket traveling away from earth, both an astronaut in the rocket and a hypothetical observer on earth will measure the speed of light moving through that box to be exactly c. No one will measure a faster speed. Indeed, c is the ultimate speed limit of the universe

• carry blood from the tissues of the body back to the heart

• are usually positioned closer beneath the surface of the skin

• are less muscular than arteries, but contain valves to help keep blood flowing in the right direction, usually toward the heart

Haemoglobin (Hb) is a protein found in the red blood cells that carries oxygen in your body and gives blood its red colour.

The galvanometer is mainly used in the bridges and potentiometer where they indicate the null deflection or zero current.

An altimeter or an altitude meter is an instrument used to measure the altitude of an object above a fixed level.

Ammeter is an instrument for measuring either direct or alternating electric current, in amperes.

A voltmeter is an electronic instrument used to measure potential between any two points in an electric or electronic circuit in volts.

For example, when a pendulum swings upward, kinetic energy is converted to potential energy. When the pendulum stops briefly at the top of its swing, the kinetic energy is zero, and all the energy of the system is in potential energy. When the pendulum swings back down, the potential energy is converted back into kinetic energy. At all times, the sum of potential and kinetic energy is constant.

This version of the conservation-of-energy principle, expressed in its most general form, is the first law of thermodynamics.

Putting the values in the formulae,

λ = h/mv; λ = 6.6 x 10^-34 / (9.1 x 10^-31 x 200)

λ ≈ 3600 nanometre

It covers the pupil, iris, and anterior chamber.

The cornea's main function is to refract, or bend, light. The cornea is responsible for focusing most of the light that enters the eye.

The retina is a light-sensitive layer that lines the back of the eye. The retina contains photoreceptors that absorb light and then transmits those signals through the optic nerve to the brain.

Since, the body was initially at rest, u= 0 m/s,

Hence, Putting the values in the equation, S = ut +1/2at²

3000 = 0 + ½ (15 x t²)

Or, t = 20 seconds

When we swallow our food, the walls of the oesophagus squeeze together (contract) and help to move the food down the oesophagus to the stomach.